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version 1.54, 2003/08/19 12:24:05 |
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| <s id="id.000007">Noli, ob&longs;ecro te, ad Mechanicorum ti­<lb/>tulum munus hoc, qua&longs;i minus inge­<lb/>nuum, nec &longs;atis liberali ingenio, nedum <lb/>imperatorio & regali dignum, &longs;ubhor­<lb/>re&longs;cere, & ex prima i&longs;ta <expan abbr="frõte">fronte</expan> de&longs;picere. <lb/></s> | <s id="id.000007">Noli, ob&longs;ecro te, ad Mechanicorum ti­<lb/>tulum munus hoc, qua&longs;i minus inge­<lb/>nuum, nec &longs;atis liberali ingenio, nedum <lb/>imperatorio & regali dignum, &longs;ubhor­<lb/>re&longs;cere, & ex prima i&longs;ta <expan abbr="frõte">fronte</expan> de&longs;picere. <lb/></s> |
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| <s id="id.000008"><expan abbr="Ferũt">Ferunt</expan> Platonem, quo philo&longs;ophorum <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.003.jpg"/>nemo de Deo diuinius, <expan abbr="neq;">neque</expan> &longs;anctius <expan abbr="s&etilde;-&longs;it">sen­<lb/>&longs;it</expan>, <expan abbr="cũinterrogaretur">cum interrogaretur</expan>, quid ageret Deus, <lb/>re&longs;pondi&longs;&longs;e <foreign lang="greek">a)ei gewmetrei=n. </foreign></s> | <s id="id.000008"><expan abbr="Ferũt">Ferunt</expan> Platonem, quo philo&longs;ophorum <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.003.jpg"/>nemo de Deo diuinius, <expan abbr="neq;">neque</expan> &longs;anctius <expan abbr="s&etilde;­&longs;it">sen­<lb/>&longs;it</expan>, <expan abbr="cũinterrogaretur">cum interrogaretur</expan>, quid ageret Deus, <lb/>re&longs;pondi&longs;&longs;e <foreign lang="el">a)ei gewmetrei=n. </foreign></s> |
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| <s id="id.000009">Hoc verbum Lati­<lb/>nè expre&longs;&longs;um &longs;ignificat, A&longs;&longs;iduè terram <lb/>metiri. </s> | <s id="id.000009">Hoc verbum Lati­<lb/>nè expre&longs;&longs;um &longs;ignificat, A&longs;&longs;iduè terram <lb/>metiri. </s> |
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| <s id="id.000010">Quæ actio &longs;i &longs;impliciter &longs;pecte­<lb/>tur, & à Geometri&ecedil; nomine ridiculo, vt <lb/>alibi appellat Plato, <expan abbr="exp&etilde;datur">expendatur</expan>, ridicula, <lb/>& Dei maie&longs;tate indigna iudicabitur. <lb/></s> | <s id="id.000010">Quæ actio &longs;i &longs;impliciter &longs;pecte­<lb/>tur, & à Geometri&ecedil; nomine ridiculo, vt <lb/>alibi appellat Plato, <expan abbr="exp&etilde;datur">expendatur</expan>, ridicula, <lb/>& Dei maie&longs;tate indigna iudicabitur. <lb/></s> |
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| <s id="id.000011">Sed &longs;i ex ip&longs;ius artis viribus, & magnifi­<lb/>cis promi&longs;&longs;is illud <foreign lang="greek">a)ei gewmetrei=n</foreign> æ&longs;timetur, <lb/>quod e&longs;t vniuer&longs;i <expan abbr="quãtumuis">quantumuis</expan> fusè <expan abbr="latéq;">latéque</expan> <lb/>patentis, <expan abbr="corporũ">corporum</expan> in eo omnium, &longs;uper­<lb/>ficierum, linearum, <expan abbr="omniúmq;">omniúmque</expan> men&longs;u­<lb/>rabilium <expan abbr="m&etilde;&longs;uram">men&longs;uram</expan> ratione, proportio­<lb/>ne, &longs;imilitudine con&longs;tituere, de&longs;ignare, <lb/>permetiri: actio certè erit tantò priore <lb/>nobilior: quantò totum <expan abbr="finitũ">finitum</expan> quidem, <lb/>&longs;ed infinito per&longs;imile exigua, & infima <lb/>&longs;ui parte e&longs;t nobilius, & excellentius: & <lb/>qui <expan abbr="hãc">hanc</expan> actionem accurate ponderibus <lb/>librarit &longs;uis, <expan abbr="nequaquã">nequaquam</expan> indignam, circa <lb/>quam Deus ver&longs;etur, & &longs;e&longs;e occupet, iu­<lb/>dicabit. </s> | <s id="id.000011">Sed &longs;i ex ip&longs;ius artis viribus, & magnifi­<lb/>cis promi&longs;&longs;is illud <foreign lang="el">a)ei gewmetrei=n</foreign> æ&longs;timetur, <lb/>quod e&longs;t vniuer&longs;i <expan abbr="quãtumuis">quantumuis</expan> fusè <expan abbr="latéq;">latéque</expan> <lb/>patentis, <expan abbr="corporũ">corporum</expan> in eo omnium, &longs;uper­<lb/>ficierum, linearum, <expan abbr="omniúmq;">omniúmque</expan> men&longs;u­<lb/>rabilium <expan abbr="m&etilde;&longs;uram">men&longs;uram</expan> ratione, proportio­<lb/>ne, &longs;imilitudine con&longs;tituere, de&longs;ignare, <lb/>permetiri: actio certè erit tantò priore <lb/>nobilior: quantò totum <expan abbr="finitũ">finitum</expan> quidem, <lb/>&longs;ed infinito per&longs;imile exigua, & infima <lb/>&longs;ui parte e&longs;t nobilius, & excellentius: & <lb/>qui <expan abbr="hãc">hanc</expan> actionem accurate ponderibus <lb/>librarit &longs;uis, <expan abbr="nequaquã">nequaquam</expan> indignam, circa <lb/>quam Deus ver&longs;etur, & &longs;e&longs;e occupet, iu­<lb/>dicabit. </s> |
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| <s id="id.000012">Verumenimuerò &longs;i ad illud <foreign lang="greek">a)ei gew­<lb/>mtrei=n</foreign> addi&longs;&longs;et Plato, <foreign lang="greek">kai\ a)eimhxana=sqai,</foreign> luculen­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.004.jpg"/>tius multò meo iudicio, & diuinæ maie­<lb/>&longs;tati congruentius, <expan abbr="atq;">atque</expan> magnificentius <lb/>re&longs;pondi&longs;&longs;et. </s> | <s id="id.000012">Verumenimuerò &longs;i ad illud <foreign lang="el">a)ei gew­<lb/>mtrei=n</foreign> addi&longs;&longs;et Plato, <foreign lang="el">kai\ a)eimhxana=sqai,</foreign> luculen­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.004.jpg"/>tius multò meo iudicio, & diuinæ maie­<lb/>&longs;tati congruentius, <expan abbr="atq;">atque</expan> magnificentius <lb/>re&longs;pondi&longs;&longs;et. </s> |
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| <s id="id.000013">Quid enim e&longs;t Mundum <lb/>hunc ex nihilo condidi&longs;&longs;e: &longs;uis omnibus <lb/>numeris ab&longs;olui&longs;&longs;e: ponderibus <expan abbr="vndiq;">vndique</expan> <lb/>&longs;uis æquilibra&longs;&longs;e: longitudine, latitudi­<lb/>ne, altitudine, in omni habitudine, & <lb/>re&longs;pectu commen&longs;uraui&longs;&longs;e: eundém­<lb/>que in eodem &longs;tatu & perfectione a&longs;&longs;i­<lb/>duò retinere, &longs;tabilire, con&longs;eruare, quam <lb/><foreign lang="greek">a)ei gewmetrei=n kai\ a)eimhxana=sqai?</foreign> Mundus enim <lb/>hic machina e&longs;t, & quidem machina­<lb/>rum maxima, efficaci&longs;&longs;ima, firmi&longs;&longs;ima, <lb/>formo&longs;i&longs;&longs;ima. </s> | <s id="id.000013">Quid enim e&longs;t Mundum <lb/>hunc ex nihilo condidi&longs;&longs;e: &longs;uis omnibus <lb/>numeris ab&longs;olui&longs;&longs;e: ponderibus <expan abbr="vndiq;">vndique</expan> <lb/>&longs;uis æquilibra&longs;&longs;e: longitudine, latitudi­<lb/>ne, altitudine, in omni habitudine, & <lb/>re&longs;pectu commen&longs;uraui&longs;&longs;e: eundém­<lb/>que in eodem &longs;tatu & perfectione a&longs;&longs;i­<lb/>duò retinere, &longs;tabilire, con&longs;eruare, quam <lb/><foreign lang="el">a)ei gewmetrei=n kai\ a)eimhxana=sqai?</foreign> Mundus enim <lb/>hic machina e&longs;t, & quidem machina­<lb/>rum maxima, efficaci&longs;&longs;ima, firmi&longs;&longs;ima, <lb/>formo&longs;i&longs;&longs;ima. </s> |
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| <s id="id.000014">An non omnia corpora <lb/>complectitur, quod eius <expan abbr="imm&etilde;&longs;itatem">immen&longs;itatem</expan> <lb/>arguit? </s> | <s id="id.000014">An non omnia corpora <lb/>complectitur, quod eius <expan abbr="imm&etilde;&longs;itatem">immen&longs;itatem</expan> <lb/>arguit? </s> |
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| <s id="id.000015">An <expan abbr="nõ">non</expan> ad omnium mutabilium <lb/>lationem, alterationem, generationem, <lb/>auctionem, con&longs;eruationem, & <expan abbr="dura-tion&etilde;">dura­<lb/>tionem</expan>, vt Dei &longs;ui auctoris <expan abbr="in&longs;trum&etilde;tum">in&longs;trumentum</expan> <lb/>concurrit, quod eius vim, & efficaciam <lb/>o&longs;tendit? </s> | <s id="id.000015">An <expan abbr="nõ">non</expan> ad omnium mutabilium <lb/>lationem, alterationem, generationem, <lb/>auctionem, con&longs;eruationem, & <expan abbr="dura­tion&etilde;">dura­<lb/>tionem</expan>, vt Dei &longs;ui auctoris <expan abbr="in&longs;trum&etilde;tum">in&longs;trumentum</expan> <lb/>concurrit, quod eius vim, & efficaciam <lb/>o&longs;tendit? </s> |
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| <s id="id.000016">An non quinquies mille <expan abbr="quin-g&etilde;tos">quin­<lb/>gentos</expan> &longs;exaginta & <expan abbr="vnũ">vnum</expan> annos, quoad &longs;ui <lb/><expan abbr="quinq;">quinque</expan> partes primas, & &longs;implices, per­<lb/>&longs;euerat omnis mutationis expers: quod <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.005.jpg"/>eius <expan abbr="firmitat&etilde;">firmitatem</expan> plu&longs;quam adamantinam <lb/>te&longs;tatur? </s> | <s id="id.000016">An non quinquies mille <expan abbr="quin­g&etilde;tos">quin­<lb/>gentos</expan> &longs;exaginta & <expan abbr="vnũ">vnum</expan> annos, quoad &longs;ui <lb/><expan abbr="quinq;">quinque</expan> partes primas, & &longs;implices, per­<lb/>&longs;euerat omnis mutationis expers: quod <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.005.jpg"/>eius <expan abbr="firmitat&etilde;">firmitatem</expan> plu&longs;quam adamantinam <lb/>te&longs;tatur? </s> |
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| <s id="id.000017">An non huius totius ad omnes <lb/>&longs;uas partes, & omnium <expan abbr="&longs;uarũ">&longs;uarum</expan> partium, <lb/>particularum que cum inter &longs;e, tum ad <lb/>ip&longs;um &longs;ummus e&longs;t con&longs;en&longs;us, con&longs;pira­<lb/>tio &longs;umma, omnium hominum oculis <lb/>& menti iucundi&longs;sima &longs;ymmetria, pro­<lb/>portio, æquabilitas, vnà cum totius fi­<lb/>gura pulcherrima, & conuenienti&longs;&longs;ima, <lb/>quæ vnica e&longs;t &longs;uperficie terminata pari­<lb/>bus ab vno puncto vndique di&longs;tante <lb/>interuallis, & cum tot <expan abbr="a&longs;trorũ">a&longs;trorum</expan> tanquam <lb/>gemmarum pretio&longs;i&longs;&longs;imarum hîc illîc <lb/>in eminentiori, & apparentiori &longs;ui par­<lb/>te collocatorum perenni luce, qua qua­<lb/>litate nec formo&longs;ior, nec <expan abbr="hominũ">hominum</expan> ocu­<lb/>lis gratior, nec v&longs;ibus humanis vtilior <lb/>apparere pote&longs;t: quod eius pulchritudi­<lb/>nem vbique o&longs;tentat, & mirabiles &longs;ui <lb/>ip&longs;ius amores excitat? </s> | <s id="id.000017">An non huius totius ad omnes <lb/>&longs;uas partes, & omnium <expan abbr="&longs;uarũ">&longs;uarum</expan> partium, <lb/>particularum que cum inter &longs;e, tum ad <lb/>ip&longs;um &longs;ummus e&longs;t con&longs;en&longs;us, con&longs;pira­<lb/>tio &longs;umma, omnium hominum oculis <lb/>& menti iucundi&longs;sima &longs;ymmetria, pro­<lb/>portio, æquabilitas, vnà cum totius fi­<lb/>gura pulcherrima, & conuenienti&longs;&longs;ima, <lb/>quæ vnica e&longs;t &longs;uperficie terminata pari­<lb/>bus ab vno puncto vndique di&longs;tante <lb/>interuallis, & cum tot <expan abbr="a&longs;trorũ">a&longs;trorum</expan> tanquam <lb/>gemmarum pretio&longs;i&longs;&longs;imarum hîc illîc <lb/>in eminentiori, & apparentiori &longs;ui par­<lb/>te collocatorum perenni luce, qua qua­<lb/>litate nec formo&longs;ior, nec <expan abbr="hominũ">hominum</expan> ocu­<lb/>lis gratior, nec v&longs;ibus humanis vtilior <lb/>apparere pote&longs;t: quod eius pulchritudi­<lb/>nem vbique o&longs;tentat, & mirabiles &longs;ui <lb/>ip&longs;ius amores excitat? </s> |
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| <s id="id.000018">Deus igitur, <expan abbr="pr&ecedil;ter-quã">pr&ecedil;ter­<lb/>quam</expan> quod e&longs;t accurati&longs;&longs;imus, <expan abbr="a&longs;&longs;iduu&longs;q;">a&longs;&longs;iduu&longs;que</expan> <lb/>Geometra, diuini Platonis <expan abbr="&longs;ent&etilde;tia">&longs;ententia</expan>, e&longs;t <lb/>etiam no&longs;tra, & operum tot magnifi­<lb/>corum euidentia, &longs;apienti&longs;&longs;imus, opti­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.006.jpg"/>mus, potenti&longs;&longs;imus <foreign lang="greek">mhxaniko\s,</foreign> & <foreign lang="greek">mhxanopoio\s. </foreign><lb/></s> | <s id="id.000018">Deus igitur, <expan abbr="pr&ecedil;ter­quã">pr&ecedil;ter­<lb/>quam</expan> quod e&longs;t accurati&longs;&longs;imus, <expan abbr="a&longs;&longs;iduu&longs;q;">a&longs;&longs;iduu&longs;que</expan> <lb/>Geometra, diuini Platonis <expan abbr="&longs;ent&etilde;tia">&longs;ententia</expan>, e&longs;t <lb/>etiam no&longs;tra, & operum tot magnifi­<lb/>corum euidentia, &longs;apienti&longs;&longs;imus, opti­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.006.jpg"/>mus, potenti&longs;&longs;imus <foreign lang="el">mhxaniko\s,</foreign> & <foreign lang="el">mhxanopoio\s. </foreign><lb/></s> |
| <s>Ip&longs;e idem, qui <foreign lang="greek">makro/kosmon</foreign> magnum mun­<lb/>dum fecit, fecit & <foreign lang="greek">mikro/kosmon</foreign> <expan abbr="paruũ">paruum</expan> mun­<lb/>dum, hominem &longs;cilicet: & fecit ad ima­<lb/>ginem &longs;uam, atque vt &longs;e imitaretur beni­<lb/>gni&longs;&longs;ima liberalitate impertitus e&longs;t ei <lb/>mentem, quæ e&longs;&longs;et <foreign lang="greek">te/xnh te/xnwn,</foreign> ars artium, <lb/>& manum, quæ e&longs;&longs;et <foreign lang="greek">o)/rganon o)rga/nwn,</foreign> in&longs;tru­<lb/>mentum in&longs;trumentorum, quibus ho­<lb/>mo, quem volebat e&longs;&longs;e &longs;apienti&longs;&longs;imum <lb/>animalium, machinas & in&longs;trumenta <lb/>alia fabricaretur, & iis adiutus &longs;olus, vel <lb/>cum paucis onera quantumuis ingentia <lb/>dimoueret, deduceret, quo vellet collo­<lb/>caret: vrbes, <expan abbr="t&etilde;pla">templa</expan>, palatia, collegia, por­<lb/>ticus, pontes, domos ædificaret, perde­<lb/>ret, re&longs;tauraret, con&longs;eruaret: terram ver­<lb/>teret, in terræ vi&longs;cera de&longs;cenderet, terræ <lb/>campos, valles, montes bigis, quadrigis <lb/>peragraret: maria omnia, fluuios remis, <lb/>velis tranaret: ventis imperaret: anima­<lb/>lium genus omne &longs;ibi &longs;ubiiceret: tantas <lb/><expan abbr="deniq;">denique</expan>, & tam multas res faceret, vt eas, <lb/>ni&longs;i quotidie fieri, & factas e&longs;&longs;e &longs;æpius <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.007.jpg"/>alij homines &longs;pectarent, omninò fieri <lb/>non po&longs;&longs;e iurarent. </s> | <s>Ip&longs;e idem, qui <foreign lang="el">makro/kosmon</foreign> magnum mun­<lb/>dum fecit, fecit & <foreign lang="el">mikro/kosmon</foreign> <expan abbr="paruũ">paruum</expan> mun­<lb/>dum, hominem &longs;cilicet: & fecit ad ima­<lb/>ginem &longs;uam, atque vt &longs;e imitaretur beni­<lb/>gni&longs;&longs;ima liberalitate impertitus e&longs;t ei <lb/>mentem, quæ e&longs;&longs;et <foreign lang="el">te/xnh te/xnwn,</foreign> ars artium, <lb/>& manum, quæ e&longs;&longs;et <foreign lang="el">o)/rganon o)rga/nwn,</foreign> in&longs;tru­<lb/>mentum in&longs;trumentorum, quibus ho­<lb/>mo, quem volebat e&longs;&longs;e &longs;apienti&longs;&longs;imum <lb/>animalium, machinas & in&longs;trumenta <lb/>alia fabricaretur, & iis adiutus &longs;olus, vel <lb/>cum paucis onera quantumuis ingentia <lb/>dimoueret, deduceret, quo vellet collo­<lb/>caret: vrbes, <expan abbr="t&etilde;pla">templa</expan>, palatia, collegia, por­<lb/>ticus, pontes, domos ædificaret, perde­<lb/>ret, re&longs;tauraret, con&longs;eruaret: terram ver­<lb/>teret, in terræ vi&longs;cera de&longs;cenderet, terræ <lb/>campos, valles, montes bigis, quadrigis <lb/>peragraret: maria omnia, fluuios remis, <lb/>velis tranaret: ventis imperaret: anima­<lb/>lium genus omne &longs;ibi &longs;ubiiceret: tantas <lb/><expan abbr="deniq;">denique</expan>, & tam multas res faceret, vt eas, <lb/>ni&longs;i quotidie fieri, & factas e&longs;&longs;e &longs;æpius <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.007.jpg"/>alij homines &longs;pectarent, omninò fieri <lb/>non po&longs;&longs;e iurarent. </s> |
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| <s id="id.000019">Iidem cum facta­<lb/>rum rationes, virium que in in&longs;trumen­<lb/>tis, & machinis adhibitis cau&longs;as non in­<lb/>telligunt, miracula e&longs;&longs;e pleno ore pro­<lb/>clamant. </s> | <s id="id.000019">Iidem cum facta­<lb/>rum rationes, virium que in in&longs;trumen­<lb/>tis, & machinis adhibitis cau&longs;as non in­<lb/>telligunt, miracula e&longs;&longs;e pleno ore pro­<lb/>clamant. </s> |
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| <s id="id.000023">Quæ profectò &longs;apien­<lb/>ter Deus homini dedit & po&longs;&longs;e, & fa­<lb/>bricari: ne mundum hunc à &longs;e <expan abbr="cõditum">conditum</expan>, <lb/>con&longs;eruatum, con&longs;eruandum, quandiu <lb/>voluerit, hominibus foret incredibile. <lb/></s> | <s id="id.000023">Quæ profectò &longs;apien­<lb/>ter Deus homini dedit & po&longs;&longs;e, & fa­<lb/>bricari: ne mundum hunc à &longs;e <expan abbr="cõditum">conditum</expan>, <lb/>con&longs;eruatum, con&longs;eruandum, quandiu <lb/>voluerit, hominibus foret incredibile. <lb/></s> |
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| <s id="id.000024">His enim tantis, & tam multis quæ ab <lb/>homine <foreign lang="greek">mhxanopoihtikw=|</foreign> manife&longs;tè & in om­<lb/>nium oculis fiunt, & con&longs;eruantur, fa­<lb/>cillimum e&longs;t, qui&longs;quis mentem habet, <lb/>credere, cogno&longs;cere, complecti, etiam &longs;i <lb/>cum fieret, abfuerit, mundum <expan abbr="hũc">hunc</expan>, <expan abbr="ma-ximũ">ma­<lb/>ximum</expan> certè operum opus, factum e&longs;&longs;e, <lb/>& con&longs;eruari: non autem ab vllo homi­<lb/>ne, &longs;ed ab alio <foreign lang="greek">mhxanopoihtikw=|</foreign> tantò homi­<lb/>nem præ&longs;tantia, &longs;apientia, potentia, imò <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.008.jpg"/>infinitè &longs;uperante: quantò hæc mundi <lb/>machina omnium hominum etiam Ar­<lb/>chimedeorum machinas &longs;uperat, atque <lb/>antecellit. </s> | <s id="id.000024">His enim tantis, & tam multis quæ ab <lb/>homine <foreign lang="el">mhxanopoihtikw=|</foreign> manife&longs;tè & in om­<lb/>nium oculis fiunt, & con&longs;eruantur, fa­<lb/>cillimum e&longs;t, qui&longs;quis mentem habet, <lb/>credere, cogno&longs;cere, complecti, etiam &longs;i <lb/>cum fieret, abfuerit, mundum <expan abbr="hũc">hunc</expan>, <expan abbr="ma­ximũ">ma­<lb/>ximum</expan> certè operum opus, factum e&longs;&longs;e, <lb/>& con&longs;eruari: non autem ab vllo homi­<lb/>ne, &longs;ed ab alio <foreign lang="el">mhxanopoihtikw=|</foreign> tantò homi­<lb/>nem præ&longs;tantia, &longs;apientia, potentia, imò <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.008.jpg"/>infinitè &longs;uperante: quantò hæc mundi <lb/>machina omnium hominum etiam Ar­<lb/>chimedeorum machinas &longs;uperat, atque <lb/>antecellit. </s> |
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| <s id="id.000025">Hic autem quis pote&longs;t e&longs;&longs;e <lb/>alius, præterquam is, quem Deum om­<lb/>nes appellamus. </s> | <s id="id.000025">Hic autem quis pote&longs;t e&longs;&longs;e <lb/>alius, præterquam is, quem Deum om­<lb/>nes appellamus. </s> |
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| <s id="id.000029">Ad quod <lb/>faciendum in&longs;uper me inuitauit cau&longs;a <lb/>alia, ni&longs;i me fallit animus, iu&longs;ti&longs;&longs;ima. <lb/></s> | <s id="id.000029">Ad quod <lb/>faciendum in&longs;uper me inuitauit cau&longs;a <lb/>alia, ni&longs;i me fallit animus, iu&longs;ti&longs;&longs;ima. <lb/></s> |
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| <s id="id.000030">Qui&longs;quis enim duas res omnium, quæ <lb/>&longs;unt in vita <expan abbr="hominũ">hominum</expan>, maximas perfecit, <lb/>quarúmque temporibus atque fabricis <lb/>&longs;ummus e&longs;t & frequenti&longs;&longs;imus machi­<lb/>narum, & <expan abbr="in&longs;trum&etilde;torum">in&longs;trumentorum</expan> v&longs;us: ille non <lb/>pote&longs;t machinamentorum, & <expan abbr="in&longs;tru-m&etilde;torum">in&longs;tru­<lb/>mentorum</expan> formis, rationibus, adinuen­<lb/>tionibus, & virium <expan abbr="eorũ">eorum</expan> admirabilium, <lb/><expan abbr="incredibiliumq;">incredibiliumque</expan> cau&longs;is, ac principiis per<lb/>ceptis non magnopere delectari, atque <lb/>eos, qui de iis &longs;ubtiliter, & ingeniose tra­<lb/>ctarint, libros oblatos non grati&longs;&longs;imè <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.010.jpg"/>excipere: tu, Rex potenti&longs;&longs;ime, duas il­<lb/>las res perfeci&longs;ti, bellum &longs;cilicet, & pa­<lb/>cem. </s> | <s id="id.000030">Qui&longs;quis enim duas res omnium, quæ <lb/>&longs;unt in vita <expan abbr="hominũ">hominum</expan>, maximas perfecit, <lb/>quarúmque temporibus atque fabricis <lb/>&longs;ummus e&longs;t & frequenti&longs;&longs;imus machi­<lb/>narum, & <expan abbr="in&longs;trum&etilde;torum">in&longs;trumentorum</expan> v&longs;us: ille non <lb/>pote&longs;t machinamentorum, & <expan abbr="in&longs;tru­m&etilde;torum">in&longs;tru­<lb/>mentorum</expan> formis, rationibus, adinuen­<lb/>tionibus, & virium <expan abbr="eorũ">eorum</expan> admirabilium, <lb/><expan abbr="incredibiliumq;">incredibiliumque</expan> cau&longs;is, ac principiis per<lb/>ceptis non magnopere delectari, atque <lb/>eos, qui de iis &longs;ubtiliter, & ingeniose tra­<lb/>ctarint, libros oblatos non grati&longs;&longs;imè <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.010.jpg"/>excipere: tu, Rex potenti&longs;&longs;ime, duas il­<lb/>las res perfeci&longs;ti, bellum &longs;cilicet, & pa­<lb/>cem. </s> |
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| <s id="id.000031">In vtriu&longs;que tempore a&longs;&longs;iduus ma­<lb/>chinarum, & in&longs;trumentorum v&longs;us, at­<lb/>que opportunitas. </s> | <s id="id.000031">In vtriu&longs;que tempore a&longs;&longs;iduus ma­<lb/>chinarum, & in&longs;trumentorum v&longs;us, at­<lb/>que opportunitas. </s> |
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| <s id="id.000032">Tu namque bellum <lb/>(hîc me patiare, rex potenti&longs;&longs;ime, in me­<lb/>ritas aliquot tuas laudes paulò amplius, <lb/>non extra rem tamen excurrere, & ex­<lb/>patiari.) Tu inquam bellum (ô onus <lb/><foreign lang="greek">kolossikw/taton,</foreign> graui&longs;&longs;imum certè, & num­<lb/>quam &longs;i fieri po&longs;&longs;et, commouendum: <lb/>vbi, vbi tamen nece&longs;&longs;arium e&longs;t, mouen­<lb/>dum, &longs;u&longs;cipiendum, gerendum) ad­<lb/>uer&longs;us dome&longs;ticos in&longs;anientes, rebel­<lb/>le&longs;que: aduer&longs;us extraneos intraneo­<lb/>rum tumultu &longs;uperbientes, ferocien­<lb/>tes, & occa&longs;ionem regni inuadendi <lb/>opportuni&longs;&longs;imam nactoş & nihil non <lb/>inde &longs;ibi pollicitiş animo plu&longs;quam <lb/>Herculeo &longs;u&longs;cepi&longs;ti: hoc ip&longs;um, li­<lb/>cet omnium bellorum, quorum hi­<lb/>&longs;torias, & annales no&longs;tros legens me­<lb/>mini&longs;&longs;e mihi videor, acerbi&longs;&longs;imum, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.011.jpg"/>pernitio&longs;i&longs;&longs;imum, exitio&longs;i&longs;&longs;imumque, <lb/>plurium intus & foris contentione, & <lb/><expan abbr="cõiuratione">coniuratione</expan> vi&longs;um in&longs;uperabile, moui­<lb/>&longs;ti, ge&longs;&longs;i&longs;ti, &longs;uperaui&longs;ti. </s> | <s id="id.000032">Tu namque bellum <lb/>(hîc me patiare, rex potenti&longs;&longs;ime, in me­<lb/>ritas aliquot tuas laudes paulò amplius, <lb/>non extra rem tamen excurrere, & ex­<lb/>patiari.) Tu inquam bellum (ô onus <lb/><foreign lang="el">kolossikw/taton,</foreign> graui&longs;&longs;imum certè, & num­<lb/>quam &longs;i fieri po&longs;&longs;et, commouendum: <lb/>vbi, vbi tamen nece&longs;&longs;arium e&longs;t, mouen­<lb/>dum, &longs;u&longs;cipiendum, gerendum) ad­<lb/>uer&longs;us dome&longs;ticos in&longs;anientes, rebel­<lb/>le&longs;que: aduer&longs;us extraneos intraneo­<lb/>rum tumultu &longs;uperbientes, ferocien­<lb/>tes, & occa&longs;ionem regni inuadendi <lb/>opportuni&longs;&longs;imam nactoş & nihil non <lb/>inde &longs;ibi pollicitiş animo plu&longs;quam <lb/>Herculeo &longs;u&longs;cepi&longs;ti: hoc ip&longs;um, li­<lb/>cet omnium bellorum, quorum hi­<lb/>&longs;torias, & annales no&longs;tros legens me­<lb/>mini&longs;&longs;e mihi videor, acerbi&longs;&longs;imum, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.011.jpg"/>pernitio&longs;i&longs;&longs;imum, exitio&longs;i&longs;&longs;imumque, <lb/>plurium intus & foris contentione, & <lb/><expan abbr="cõiuratione">coniuratione</expan> vi&longs;um in&longs;uperabile, moui­<lb/>&longs;ti, ge&longs;&longs;i&longs;ti, &longs;uperaui&longs;ti. </s> |
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| <s id="id.000033">Quomodo <expan abbr="aut&etilde;">autem</expan>? <lb/></s> | <s id="id.000033">Quomodo <expan abbr="aut&etilde;">autem</expan>? <lb/></s> |
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| <s id="id.000040">Quid <lb/>tu ilico? </s> | <s id="id.000040">Quid <lb/>tu ilico? </s> |
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| <s id="id.000041">Quandoquidem pax victo &longs;em­<lb/>per &longs;it nece&longs;&longs;aria, & victori ea, quæ nihil <lb/>po&longs;t &longs;e ferat in&longs;idiarum, &longs;emper expe­<lb/>diat: &longs;tatim eius ineundæ, & cum <expan abbr="po-t&etilde;ti&longs;&longs;imo">po­<lb/>tenti&longs;&longs;imo</expan> ho&longs;te Philippo Hi&longs;paniarum <lb/>rege conciliandæ <expan abbr="occa&longs;ion&etilde;">occa&longs;ionem</expan> quæ&longs;itam, <lb/>& oblatam à Clemente VIII. pontifice <lb/>&longs;ummo, verè vtriu&longs;que gentis commu­<lb/>ni <expan abbr="par&etilde;te">parente</expan> clementi&longs;&longs;imo, per &longs;uum lega­<lb/>tum Alexandrum de Medicis Cardina­<lb/>lem, & Archiepi&longs;copum Florentinum, <lb/>qui huic paci tractandæ, conficiendæ, <lb/>& ni&longs;i perfecta re <expan abbr="nõ">non</expan> relinquendæ &longs;em­<lb/>per interfuit, & qua&longs;i præfuit, arripui­<lb/>&longs;ti. </s> | <s id="id.000041">Quandoquidem pax victo &longs;em­<lb/>per &longs;it nece&longs;&longs;aria, & victori ea, quæ nihil <lb/>po&longs;t &longs;e ferat in&longs;idiarum, &longs;emper expe­<lb/>diat: &longs;tatim eius ineundæ, & cum <expan abbr="po­t&etilde;ti&longs;&longs;imo">po­<lb/>tenti&longs;&longs;imo</expan> ho&longs;te Philippo Hi&longs;paniarum <lb/>rege conciliandæ <expan abbr="occa&longs;ion&etilde;">occa&longs;ionem</expan> quæ&longs;itam, <lb/>& oblatam à Clemente VIII. pontifice <lb/>&longs;ummo, verè vtriu&longs;que gentis commu­<lb/>ni <expan abbr="par&etilde;te">parente</expan> clementi&longs;&longs;imo, per &longs;uum lega­<lb/>tum Alexandrum de Medicis Cardina­<lb/>lem, & Archiepi&longs;copum Florentinum, <lb/>qui huic paci tractandæ, conficiendæ, <lb/>& ni&longs;i perfecta re <expan abbr="nõ">non</expan> relinquendæ &longs;em­<lb/>per interfuit, & qua&longs;i præfuit, arripui­<lb/>&longs;ti. </s> |
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| <s id="id.000042">Duobus e tuo &longs;anctiore con&longs;ilio de­<lb/>lectis con&longs;iliariis tibi, id e&longs;t patriæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.013.jpg"/>&longs;aluti addicti&longs;&longs;imis (permittes bona tua <lb/>venia, Rex clementi&longs;&longs;ime, honoris & <lb/>gratæ erga viros tam bene de te, totaque <lb/>Gallia meritos memoriæ no&longs;træ gratia, <lb/>hîc illos nominari) Pomponio Belle­<lb/>ureo & Nicolao Brulartio, toto tantæ <lb/>molis negotio per te commi&longs;&longs;o, pacem <lb/>tibi, tuis, toti Galliæ honorificenti&longs;&longs;i­<lb/>mam conciliaui&longs;ti: pacem inquam ab­<lb/>&longs;entem, & ad multos annos exulem re­<lb/>duxi&longs;ti: iureiurando &longs;olemni&longs;&longs;imo, &longs;i­<lb/>gillis vtriu&longs;que regni confirmatam per <lb/>præcones tuos proclamari iu&longs;&longs;i&longs;ti: arma <lb/>de manibus militum, quæ erant &longs;umpta <lb/>pro te, & contra te &longs;u&longs;tuli&longs;ti: iam tuo­<lb/>rum in ligones, aratrorum dentes, fal­<lb/>ces, vngues ferreos, vectes, trochleas, <lb/>malleos, aliaque in&longs;trumenta vitæ mi­<lb/>tioris, & pacificæ conuerti&longs;ti: iam arua <lb/>feracis Galliæ recoli cœpta, vbique re­<lb/>uire&longs;cunt: lætæ &longs;egetes, agri vberes cul­<lb/>mis ari&longs;ti&longs;que luxuriant: ex ædificijs &longs;e­<lb/>miruta re&longs;taurantur, dirutorum loco <lb/>noua &longs;tatuuntur: leges liberè pronun­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.014.jpg"/>ciant: iu&longs;ticia libritenens fide zygo&longs;tati­<lb/>ca omnia iudicat: linguarum & bona­<lb/>rum <expan abbr="artiũ">artium</expan>, te earum re&longs;tauratore, & vin­<lb/>dice & cu&longs;tode, eruditio in <expan abbr="Academiã">Academiam</expan> <lb/>reuer&longs;a frequentatur: ingenia, quæ in ea <lb/>&longs;unt præclara, in variarum artium iam <lb/>redundant elegantiam, fœtu&longs;que &longs;uos <lb/>producere ge&longs;tiunt: mercatura denique <lb/>tutò vagatur, peregrinatur, ru&longs;ticatur. <lb/></s> | <s id="id.000042">Duobus e tuo &longs;anctiore con&longs;ilio de­<lb/>lectis con&longs;iliariis tibi, id e&longs;t patriæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.013.jpg"/>&longs;aluti addicti&longs;&longs;imis (permittes bona tua <lb/>venia, Rex clementi&longs;&longs;ime, honoris & <lb/>gratæ erga viros tam bene de te, totaque <lb/>Gallia meritos memoriæ no&longs;træ gratia, <lb/>hîc illos nominari) Pomponio Belle­<lb/>ureo & Nicolao Brulartio, toto tantæ <lb/>molis negotio per te commi&longs;&longs;o, pacem <lb/>tibi, tuis, toti Galliæ honorificenti&longs;&longs;i­<lb/>mam conciliaui&longs;ti: pacem inquam ab­<lb/>&longs;entem, & ad multos annos exulem re­<lb/>duxi&longs;ti: iureiurando &longs;olemni&longs;&longs;imo, &longs;i­<lb/>gillis vtriu&longs;que regni confirmatam per <lb/>præcones tuos proclamari iu&longs;&longs;i&longs;ti: arma <lb/>de manibus militum, quæ erant &longs;umpta <lb/>pro te, & contra te &longs;u&longs;tuli&longs;ti: iam tuo­<lb/>rum in ligones, aratrorum dentes, fal­<lb/>ces, vngues ferreos, vectes, trochleas, <lb/>malleos, aliaque in&longs;trumenta vitæ mi­<lb/>tioris, & pacificæ conuerti&longs;ti: iam arua <lb/>feracis Galliæ recoli cœpta, vbique re­<lb/>uire&longs;cunt: lætæ &longs;egetes, agri vberes cul­<lb/>mis ari&longs;ti&longs;que luxuriant: ex ædificijs &longs;e­<lb/>miruta re&longs;taurantur, dirutorum loco <lb/>noua &longs;tatuuntur: leges liberè pronun­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.014.jpg"/>ciant: iu&longs;ticia libritenens fide zygo&longs;tati­<lb/>ca omnia iudicat: linguarum & bona­<lb/>rum <expan abbr="artiũ">artium</expan>, te earum re&longs;tauratore, & vin­<lb/>dice & cu&longs;tode, eruditio in <expan abbr="Academiã">Academiam</expan> <lb/>reuer&longs;a frequentatur: ingenia, quæ in ea <lb/>&longs;unt præclara, in variarum artium iam <lb/>redundant elegantiam, fœtu&longs;que &longs;uos <lb/>producere ge&longs;tiunt: mercatura denique <lb/>tutò vagatur, peregrinatur, ru&longs;ticatur. <lb/></s> |
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| <s id="id.000043">Harum duarum rerum belli, & pacis <lb/>magnitudinem, <expan abbr="difficultat&etilde;">difficultatem</expan>, <expan abbr="impedim&etilde;-ta">impedimen­<lb/>ta</expan> &longs;oli <expan abbr="cõplectentur">complectentur</expan>, quitam di&longs;&longs;ociatas <lb/>Gallorum & Hi&longs;panorum <expan abbr="volũtates">voluntates</expan>: <expan abbr="tã">tam</expan> <lb/>multa, & multiplici <expan abbr="&longs;imultatũ">&longs;imultatum</expan> <expan abbr="atq;">atque</expan> odio­<lb/>rum crudelitate &longs;auciatas: tot mordaci­<lb/>bus dictis, &longs;criptis, factis in &longs;e&longs;e mutuis <lb/>exulceratas: tam deiecta, <expan abbr="atq;">atque</expan> perturbata <lb/>omnia ip&longs;i &longs;uis oculis viderunt. </s> | <s id="id.000043">Harum duarum rerum belli, & pacis <lb/>magnitudinem, <expan abbr="difficultat&etilde;">difficultatem</expan>, <expan abbr="impedim&etilde;­ta">impedimen­<lb/>ta</expan> &longs;oli <expan abbr="cõplectentur">complectentur</expan>, quitam di&longs;&longs;ociatas <lb/>Gallorum & Hi&longs;panorum <expan abbr="volũtates">voluntates</expan>: <expan abbr="tã">tam</expan> <lb/>multa, & multiplici <expan abbr="&longs;imultatũ">&longs;imultatum</expan> <expan abbr="atq;">atque</expan> odio­<lb/>rum crudelitate &longs;auciatas: tot mordaci­<lb/>bus dictis, &longs;criptis, factis in &longs;e&longs;e mutuis <lb/>exulceratas: tam deiecta, <expan abbr="atq;">atque</expan> perturbata <lb/>omnia ip&longs;i &longs;uis oculis viderunt. </s> |
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| <s id="id.000044"><expan abbr="Nã">Nam</expan> qui <lb/><expan abbr="nõ">non</expan> <expan abbr="viderũt">viderunt</expan>, licet ab alijs recitata <expan abbr="audiãt">audiant</expan>, <lb/>aut <expan abbr="monum&etilde;tis">monumentis</expan> <expan abbr="cõm&etilde;data">commendata</expan> <expan abbr="legãt">legant</expan>, non ar­<lb/>bitror <expan abbr="tam&etilde;">tamen</expan> vllius vlla <expan abbr="quantũuis">quantumuis</expan> elegan­<lb/>ti, & probabili narratione adduci po&longs;&longs;e, <lb/>vt <expan abbr="credãt">credant</expan>, quando <expan abbr="quid&etilde;">quidem</expan> nos, qui hæc vi­<lb/>dimus, &longs;i <expan abbr="quãdo">quando</expan> in <expan abbr="memoriãreducimus">memoriam reducimus</expan>, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.015.jpg"/>mera &longs;omnia videre nobis videmur: <lb/>Quid igitur ab&longs;urdum? </s> | <s id="id.000044"><expan abbr="Nã">Nam</expan> qui <lb/><expan abbr="nõ">non</expan> <expan abbr="viderũt">viderunt</expan>, licet ab alijs recitata <expan abbr="audiãt">audiant</expan>, <lb/>aut <expan abbr="monum&etilde;tis">monumentis</expan> <expan abbr="cõm&etilde;data">commendata</expan> <expan abbr="legãt">legant</expan>, non ar­<lb/>bitror <expan abbr="tam&etilde;">tamen</expan> vllius vlla <expan abbr="quantũuis">quantumuis</expan> elegan­<lb/>ti, & probabili narratione adduci po&longs;&longs;e, <lb/>vt <expan abbr="credãt">credant</expan>, quando <expan abbr="quid&etilde;">quidem</expan> nos, qui hæc vi­<lb/>dimus, &longs;i <expan abbr="quãdo">quando</expan> in <expan abbr="memoriãreducimus">memoriam reducimus</expan>, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.015.jpg"/>mera &longs;omnia videre nobis videmur: <lb/>Quid igitur ab&longs;urdum? </s> |
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| <s id="id.000047">qui te præterea videamus magni­<lb/>ficis ædificiorum &longs;ub&longs;tructionibus, ita <lb/>delectari, vt nihil, <expan abbr="nõ">non</expan> dicam nunc, cum <lb/>&longs;int hæc pacis opera: &longs;ed etiam in ip&longs;o <lb/>belli flagranti&longs;&longs;imi ardore, ab ijs auocare <lb/>aut retardare potuerit. </s> | <s id="id.000047">qui te præterea videamus magni­<lb/>ficis ædificiorum &longs;ub&longs;tructionibus, ita <lb/>delectari, vt nihil, <expan abbr="nõ">non</expan> dicam nunc, cum <lb/>&longs;int hæc pacis opera: &longs;ed etiam in ip&longs;o <lb/>belli flagranti&longs;&longs;imi ardore, ab ijs auocare <lb/>aut retardare potuerit. </s> |
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| <s id="id.000048">Porticus diues, <lb/>&longs;uperba, amu&longs;&longs;itata, quæ à tua Lupara <lb/>ad tuas ædes lateritias te, <expan abbr="tuo&longs;q;">tuo&longs;que</expan> delatura <lb/>& illinc ad <expan abbr="vrb&etilde;">vrbem</expan> de&longs;uper ventura, te <expan abbr="in-u&etilde;tore">in­<lb/>uentore</expan>, & excogitatore, tuis &longs;umptibus <lb/>extruitur: Ædium lateritiarum cochlea­<lb/>ri &longs;cal&ecedil;, octauo orbis miraculo <expan abbr="colophõ">colophon</expan> <lb/>impo&longs;itus: Ca&longs;tella Fontisbellaquei, <lb/>Sanctogermani, Moncelli colophoni <lb/>&longs;uo proxima, nuper Reuerendi&longs;&longs;imo <lb/>Legato hinc in Italiam redeunti, nobi<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.016.jpg"/>li&longs;&longs;imis illis Hi&longs;panis, Flandri&longs;que, qui <lb/>ad pacem iureiurando confirmandam <lb/>aduenerant, cum tua incredibili vo­<lb/>luptate o&longs;tentata, & eorum maiori ad­<lb/>miratione ab illis &longs;pectata luculenter te­<lb/>&longs;tantur, <expan abbr="atq;">atque</expan> <expan abbr="hãc">hanc</expan> animi tui <expan abbr="delectation&etilde;">delectationem</expan> <lb/>rege magnifico <expan abbr="digni&longs;&longs;imã">digni&longs;&longs;imam</expan> declararunt, <lb/>& vi&longs;uris, quotquot venient in po&longs;te­<lb/>rum, declarabunt. </s> | <s id="id.000048">Porticus diues, <lb/>&longs;uperba, amu&longs;&longs;itata, quæ à tua Lupara <lb/>ad tuas ædes lateritias te, <expan abbr="tuo&longs;q;">tuo&longs;que</expan> delatura <lb/>& illinc ad <expan abbr="vrb&etilde;">vrbem</expan> de&longs;uper ventura, te <expan abbr="in­u&etilde;tore">in­<lb/>uentore</expan>, & excogitatore, tuis &longs;umptibus <lb/>extruitur: Ædium lateritiarum cochlea­<lb/>ri &longs;cal&ecedil;, octauo orbis miraculo <expan abbr="colophõ">colophon</expan> <lb/>impo&longs;itus: Ca&longs;tella Fontisbellaquei, <lb/>Sanctogermani, Moncelli colophoni <lb/>&longs;uo proxima, nuper Reuerendi&longs;&longs;imo <lb/>Legato hinc in Italiam redeunti, nobi<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.016.jpg"/>li&longs;&longs;imis illis Hi&longs;panis, Flandri&longs;que, qui <lb/>ad pacem iureiurando confirmandam <lb/>aduenerant, cum tua incredibili vo­<lb/>luptate o&longs;tentata, & eorum maiori ad­<lb/>miratione ab illis &longs;pectata luculenter te­<lb/>&longs;tantur, <expan abbr="atq;">atque</expan> <expan abbr="hãc">hanc</expan> animi tui <expan abbr="delectation&etilde;">delectationem</expan> <lb/>rege magnifico <expan abbr="digni&longs;&longs;imã">digni&longs;&longs;imam</expan> declararunt, <lb/>& vi&longs;uris, quotquot venient in po&longs;te­<lb/>rum, declarabunt. </s> |
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| <s id="id.000049">Spemque adferunt <lb/><expan abbr="nõmediocrem">non mediocrem</expan>, te, pro tuorum in Aca­<lb/>demia profe&longs;&longs;orum collegio, quale edi­<lb/>ta pro eo oratione à me de&longs;criptum <lb/>e&longs;t: aut ab alio magnificentius de&longs;cribe­<lb/>tur, ædificando, aliquando e&longs;&longs;e cogitatu­<lb/>rum, & perfecturum. </s> | <s id="id.000049">Spemque adferunt <lb/><expan abbr="nõmediocrem">non mediocrem</expan>, te, pro tuorum in Aca­<lb/>demia profe&longs;&longs;orum collegio, quale edi­<lb/>ta pro eo oratione à me de&longs;criptum <lb/>e&longs;t: aut ab alio magnificentius de&longs;cribe­<lb/>tur, ædificando, aliquando e&longs;&longs;e cogitatu­<lb/>rum, & perfecturum. </s> |
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| <s id="id.000061">THEODORICVS MONANTHOLII filius. </s></p><p type="head"> | <s id="id.000061">THEODORICVS MONANTHOLII filius. </s></p><p type="head"> |
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| <s id="id.000062">De libro <foreign lang="greek">tw=n mhxanikw=n,</foreign> Ari&longs;totele, <lb/>& Monantholio. </s></p><p type="main"> | <s id="id.000062">De libro <foreign lang="el">tw=n mhxanikw=n,</foreign> Ari&longs;totele, <lb/>& Monantholio. </s></p><p type="main"> |
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| <s id="id.000063"><emph type="italics"/>Inter Ari&longs;totelis libros &longs;ubtilior i&longs;to<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000063"><emph type="italics"/>Inter Ari&longs;totelis libros &longs;ubtilior i&longs;to<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000064"><emph type="italics"/>Nullus<emph.end type="italics"/> <foreign lang="greek">*mhxanikw=n,</foreign> <emph type="italics"/>vtiliorque fuit. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000064"><emph type="italics"/>Nullus<emph.end type="italics"/> <foreign lang="el">*mhxanikw=n,</foreign> <emph type="italics"/>vtiliorque fuit. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000065"><emph type="italics"/>Sed mendis fœdus merito &longs;ine honore iacebat,<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000065"><emph type="italics"/>Sed mendis fœdus merito &longs;ine honore iacebat,<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000090">Quæ vna res adiuncto <lb/>contemplationis diuinorum fine (quem Dei cognitio­<lb/>nem, amorem, & cultum arbitror) fecit, vt philo&longs;ophiæ <lb/>diuinorum quamplurimi homines totos &longs;e&longs;e dediderint, <lb/>dedantque quotidie. </s> | <s id="id.000090">Quæ vna res adiuncto <lb/>contemplationis diuinorum fine (quem Dei cognitio­<lb/>nem, amorem, & cultum arbitror) fecit, vt philo&longs;ophiæ <lb/>diuinorum quamplurimi homines totos &longs;e&longs;e dediderint, <lb/>dedantque quotidie. </s> |
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| <s id="id.000091">Huic philo&longs;ophiæ proxima e&longs;t cœ­<lb/>le&longs;tium & elementariorum id e&longs;t <foreign lang="greek">tou= makrokosmou=</foreign> mundi <lb/>&longs;cilicet huius, cuius &longs;ine machinis fabrica in &longs;ub&longs;tantia, <lb/>magnitudine, figura, numero, &longs;itu, connexione, faculta­<lb/>tibus, & v&longs;u partium <expan abbr="omniũ">omnium</expan> &longs;ui fabricatoris bonitatem, <lb/>&longs;apientiam, <expan abbr="pot&etilde;tiam">potentiam</expan>, &longs;umma i&longs;thæc omnia arguit, & de­<lb/>mon&longs;trat. </s> | <s id="id.000091">Huic philo&longs;ophiæ proxima e&longs;t cœ­<lb/>le&longs;tium & elementariorum id e&longs;t <foreign lang="el">tou= makrokosmou=</foreign> mundi <lb/>&longs;cilicet huius, cuius &longs;ine machinis fabrica in &longs;ub&longs;tantia, <lb/>magnitudine, figura, numero, &longs;itu, connexione, faculta­<lb/>tibus, & v&longs;u partium <expan abbr="omniũ">omnium</expan> &longs;ui fabricatoris bonitatem, <lb/>&longs;apientiam, <expan abbr="pot&etilde;tiam">potentiam</expan>, &longs;umma i&longs;thæc omnia arguit, & de­<lb/>mon&longs;trat. </s> |
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| <s id="id.000092">Luculenti&longs;&longs;imè in&longs;uper o&longs;tendit Deum, & eius <lb/>admini&longs;tram naturam &longs;ine actione, &longs;ine opere nu&longs;quam <lb/>e&longs;&longs;e. </s> | <s id="id.000092">Luculenti&longs;&longs;imè in&longs;uper o&longs;tendit Deum, & eius <lb/>admini&longs;tram naturam &longs;ine actione, &longs;ine opere nu&longs;quam <lb/>e&longs;&longs;e. </s> |
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| <s id="id.000093">Multò de his plura: quam de diuinis philo&longs;ophando <lb/>homines con&longs;ecuti &longs;unt, <expan abbr="neq;">neque</expan> &longs;ine incredibili animorum <lb/>&longs;uorum voluptate, & innumerabili ad v&longs;us humanos vti­<lb/>litate. </s> | <s id="id.000093">Multò de his plura: quam de diuinis philo&longs;ophando <lb/>homines con&longs;ecuti &longs;unt, <expan abbr="neq;">neque</expan> &longs;ine incredibili animorum <lb/>&longs;uorum voluptate, & innumerabili ad v&longs;us humanos vti­<lb/>litate. </s> |
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| <s id="id.000094">Nam cum hæc ita e&longs;&longs;e homines <expan abbr="depreh&etilde;di&longs;&longs;ent">deprehendi&longs;&longs;ent</expan>, vt <lb/>ad multò plures v&longs;us, quam ad quos <expan abbr="&longs;põtè">&longs;pontè</expan> nata e&longs;&longs;e com­<lb/>perirentur, <expan abbr="trãsferri">transferri</expan> & aptati po&longs;&longs;ent, <expan abbr="perciperentq;">perciperentque</expan> non <lb/>fru&longs;trà &longs;uis animis in&longs;itas non <expan abbr="&longs;olũ">&longs;olum</expan> facultates i&longs;ta transfe­<lb/>rendi & aptandi: &longs;ed etiam congenita corporibus &longs;uis <expan abbr="in-&longs;trum&etilde;ta">in­<lb/>&longs;trumenta</expan>, quibus vel ex &longs;e, vel à &longs;e factis <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> tran&longs;­<lb/>ferrent & aptarent, non &longs;ola cognitione <expan abbr="cõtenti">contenti</expan> ad agen­<lb/>dum &longs;e <expan abbr="contulerũt">contulerunt</expan>. </s> | <s id="id.000094">Nam cum hæc ita e&longs;&longs;e homines <expan abbr="depreh&etilde;di&longs;&longs;ent">deprehendi&longs;&longs;ent</expan>, vt <lb/>ad multò plures v&longs;us, quam ad quos <expan abbr="&longs;põtè">&longs;pontè</expan> nata e&longs;&longs;e com­<lb/>perirentur, <expan abbr="trãsferri">transferri</expan> & aptati po&longs;&longs;ent, <expan abbr="perciperentq;">perciperentque</expan> non <lb/>fru&longs;trà &longs;uis animis in&longs;itas non <expan abbr="&longs;olũ">&longs;olum</expan> facultates i&longs;ta transfe­<lb/>rendi & aptandi: &longs;ed etiam congenita corporibus &longs;uis <expan abbr="in­&longs;trum&etilde;ta">in­<lb/>&longs;trumenta</expan>, quibus vel ex &longs;e, vel à &longs;e factis <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> tran&longs;­<lb/>ferrent & aptarent, non &longs;ola cognitione <expan abbr="cõtenti">contenti</expan> ad agen­<lb/>dum &longs;e <expan abbr="contulerũt">contulerunt</expan>. </s> |
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| <s id="id.000095">Hinc quartum genus illud <expan abbr="rerũ">rerum</expan>, quas <lb/>diximus, artificialium emanauit, primùm vt credibile e&longs;t <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.021.jpg"/>nece&longs;&longs;ariarum, deinde <expan abbr="delectabiliũ">delectabilium</expan>, quod eò, imitatione <lb/>cœle&longs;tium & <expan abbr="elem&etilde;tariorũ">elementariorum</expan>, & in <expan abbr="horũ">horum</expan> nonnullis &longs;upera­<lb/>tione proce&longs;&longs;it, vt homo qui manu mentis con&longs;ilio dire­<lb/>cta tot & <expan abbr="tãta">tanta</expan>, quanta <expan abbr="nũc">nunc</expan> po&longs;&longs;idemus, peregerit, ab Ana­<lb/>xagora quia haberet <expan abbr="manũ">manum</expan>, &longs;apienti&longs;&longs;imus fuerit iudica­<lb/>tus. </s> | <s id="id.000095">Hinc quartum genus illud <expan abbr="rerũ">rerum</expan>, quas <lb/>diximus, artificialium emanauit, primùm vt credibile e&longs;t <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.021.jpg"/>nece&longs;&longs;ariarum, deinde <expan abbr="delectabiliũ">delectabilium</expan>, quod eò, imitatione <lb/>cœle&longs;tium & <expan abbr="elem&etilde;tariorũ">elementariorum</expan>, & in <expan abbr="horũ">horum</expan> nonnullis &longs;upera­<lb/>tione proce&longs;&longs;it, vt homo qui manu mentis con&longs;ilio dire­<lb/>cta tot & <expan abbr="tãta">tanta</expan>, quanta <expan abbr="nũc">nunc</expan> po&longs;&longs;idemus, peregerit, ab Ana­<lb/>xagora quia haberet <expan abbr="manũ">manum</expan>, &longs;apienti&longs;&longs;imus fuerit iudica­<lb/>tus. </s> |
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| <s id="id.000101">Facit enim omnia. </s> | <s id="id.000101">Facit enim omnia. </s> |
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| <s id="id.000102">Et &longs;i <lb/><foreign lang="greek">mhxana=sqai</foreign> &longs;it moliri & excogitare quibus in&longs;trumentis <lb/>opus ad agendum <expan abbr="propo&longs;itũ">propo&longs;itum</expan> efficiatur, <foreign lang="greek">mhxa/nhma</foreign> erit mo­<lb/>litio & <expan abbr="inu&etilde;tio">inuentio</expan> <expan abbr="in&longs;trumentorũ">in&longs;trumentorum</expan> ad opus. </s> | <s id="id.000102">Et &longs;i <lb/><foreign lang="el">mhxana=sqai</foreign> &longs;it moliri & excogitare quibus in&longs;trumentis <lb/>opus ad agendum <expan abbr="propo&longs;itũ">propo&longs;itum</expan> efficiatur, <foreign lang="el">mhxa/nhma</foreign> erit mo­<lb/>litio & <expan abbr="inu&etilde;tio">inuentio</expan> <expan abbr="in&longs;trumentorũ">in&longs;trumentorum</expan> ad opus. </s> |
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| <s id="id.000103">quæ cum &longs;ine ra­<lb/>tione non po&longs;&longs;int exi&longs;tere, ratio <expan abbr="aut&etilde;">autem</expan> vnius hominis pro­<lb/>pria &longs;it, <foreign lang="greek">mhxaniko\n</foreign> e&longs;&longs;e &longs;olius erit hominis, <expan abbr="quemadmodũ">quemadmodum</expan> <lb/>loqui, ratiocinari, & omnia quæ à Dei &longs;olo nutu, &longs;ine ve­<lb/>cte, &longs;ine ferramentis, &longs;ine machina vlla confecta & creata <lb/><expan abbr="sũt">sunt</expan>, molitione, machinatione & <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> imitari, om­<lb/>nia denique ad v&longs;us &longs;uos transferre. </s> | <s id="id.000103">quæ cum &longs;ine ra­<lb/>tione non po&longs;&longs;int exi&longs;tere, ratio <expan abbr="aut&etilde;">autem</expan> vnius hominis pro­<lb/>pria &longs;it, <foreign lang="el">mhxaniko\n</foreign> e&longs;&longs;e &longs;olius erit hominis, <expan abbr="quemadmodũ">quemadmodum</expan> <lb/>loqui, ratiocinari, & omnia quæ à Dei &longs;olo nutu, &longs;ine ve­<lb/>cte, &longs;ine ferramentis, &longs;ine machina vlla confecta & creata <lb/><expan abbr="sũt">sunt</expan>, molitione, machinatione & <expan abbr="in&longs;trum&etilde;tis">in&longs;trumentis</expan> imitari, om­<lb/>nia denique ad v&longs;us &longs;uos transferre. </s> |
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| <s id="id.000104">Archimedes primus <lb/>cœlum, alteram mundi partem ampli&longs;&longs;imam & præ&longs;tan­<lb/>ti&longs;&longs;imam, tanta arte vnius machinæ vitreæ artificio re­<lb/>præ&longs;entauit, vt &longs;i Claudiano credimus, artificij elegantia <lb/>voluptatem & admirationem Ioui pepererit. </s> | <s id="id.000104">Archimedes primus <lb/>cœlum, alteram mundi partem ampli&longs;&longs;imam & præ&longs;tan­<lb/>ti&longs;&longs;imam, tanta arte vnius machinæ vitreæ artificio re­<lb/>præ&longs;entauit, vt &longs;i Claudiano credimus, artificij elegantia <lb/>voluptatem & admirationem Ioui pepererit. </s> |
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| <s id="id.000114">AEmula naturæ parua reperta manus. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000114">AEmula naturæ parua reperta manus. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000115">Sal monei huius fal&longs;um tonitru &longs;tatim in memoriam vo­<lb/>cat, non iam fal&longs;a <expan abbr="hominũ">hominum</expan>, qui nunc viuunt tonitrua, <expan abbr="vi-brataq;">vi­<lb/>brataque</expan> è &longs;uis &longs;clopetis, <expan abbr="bõbardi&longs;que">bombardi&longs;que</expan> fulmina, &longs;oni frago­<lb/>re, ictus conqua&longs;&longs;atione, & <expan abbr="pluriũ">plurium</expan> &longs;trage non modo Iouis <lb/>fulmen imitantia: &longs;ed longe &longs;uperantia. </s> | <s id="id.000115">Sal monei huius fal&longs;um tonitru &longs;tatim in memoriam vo­<lb/>cat, non iam fal&longs;a <expan abbr="hominũ">hominum</expan>, qui nunc viuunt tonitrua, <expan abbr="vi­brataq;">vi­<lb/>brataque</expan> è &longs;uis &longs;clopetis, <expan abbr="bõbardi&longs;que">bombardi&longs;que</expan> fulmina, &longs;oni frago­<lb/>re, ictus conqua&longs;&longs;atione, & <expan abbr="pluriũ">plurium</expan> &longs;trage non modo Iouis <lb/>fulmen imitantia: &longs;ed longe &longs;uperantia. </s> |
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| <s id="id.000116">Quoties fulmen <lb/>&longs;uum mittit Iupiter aut <expan abbr="nemin&etilde;">neminem</expan>, aut <expan abbr="vnũ">vnum</expan> atque alterum <lb/>præcipitat: hæc verò certo ictu &longs;emper de&longs;tinata vrbium <lb/>mœnia deua&longs;tant: quot homines attingunt, perdunt, & <lb/><expan abbr="quid&etilde;">quidem</expan> tanta celeritate, tantáque vi, vt qu&ecedil; ab antiquis in­<lb/>geniosè, vel ad oppugnandos ho&longs;tes, vel ab his &longs;e <expan abbr="defen-dendũ">defen­<lb/>dendum</expan> inuenta erant <expan abbr="in&longs;trum&etilde;ta">in&longs;trumenta</expan> bellica, Scorpiones, ca­<lb/>tapultæ, bali&longs;tæ, arietes, turres ambulatoriæ, te&longs;tudines, <lb/>helepoles, fundæ, & reliqua eiu&longs;modi poliorcetica, præ <lb/>illis qua&longs;i in <expan abbr="de&longs;uetudin&etilde;">de&longs;uetudinem</expan>, & <expan abbr="obliuion&etilde;">obliuionem</expan> abierint. </s> | <s id="id.000116">Quoties fulmen <lb/>&longs;uum mittit Iupiter aut <expan abbr="nemin&etilde;">neminem</expan>, aut <expan abbr="vnũ">vnum</expan> atque alterum <lb/>præcipitat: hæc verò certo ictu &longs;emper de&longs;tinata vrbium <lb/>mœnia deua&longs;tant: quot homines attingunt, perdunt, & <lb/><expan abbr="quid&etilde;">quidem</expan> tanta celeritate, tantáque vi, vt qu&ecedil; ab antiquis in­<lb/>geniosè, vel ad oppugnandos ho&longs;tes, vel ab his &longs;e <expan abbr="defen­dendũ">defen­<lb/>dendum</expan> inuenta erant <expan abbr="in&longs;trum&etilde;ta">in&longs;trumenta</expan> bellica, Scorpiones, ca­<lb/>tapultæ, bali&longs;tæ, arietes, turres ambulatoriæ, te&longs;tudines, <lb/>helepoles, fundæ, & reliqua eiu&longs;modi poliorcetica, præ <lb/>illis qua&longs;i in <expan abbr="de&longs;uetudin&etilde;">de&longs;uetudinem</expan>, & <expan abbr="obliuion&etilde;">obliuionem</expan> abierint. </s> |
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| <s id="id.000117">Præclara <lb/>&longs;anè illa &longs;unt <foreign lang="greek">mhxanh/mata,</foreign> &longs;i his homines vterentur <expan abbr="tantũ">tantum</expan>, <lb/>vt patria ab ho&longs;tili &longs;eruitute liberetur, &longs;ubacto ho&longs;te fines <lb/>amplificentur, <expan abbr="adiũctis">adiunctis</expan> prouincijs <expan abbr="dilat&etilde;tur">dilatentur</expan>, & &longs;ic longè <lb/>laté que optimi regis dominatio <expan abbr="ext&etilde;datur">extendatur</expan>. </s> | <s id="id.000117">Præclara <lb/>&longs;anè illa &longs;unt <foreign lang="el">mhxanh/mata,</foreign> &longs;i his homines vterentur <expan abbr="tantũ">tantum</expan>, <lb/>vt patria ab ho&longs;tili &longs;eruitute liberetur, &longs;ubacto ho&longs;te fines <lb/>amplificentur, <expan abbr="adiũctis">adiunctis</expan> prouincijs <expan abbr="dilat&etilde;tur">dilatentur</expan>, & &longs;ic longè <lb/>laté que optimi regis dominatio <expan abbr="ext&etilde;datur">extendatur</expan>. </s> |
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| <s id="id.000118">Vt veteribus <lb/>illis &longs;olis in&longs;tructus cum Alexander parua hominum ad <lb/>30000 manu tot prouincias, tot regna, tot vrbes &longs;ubegi&longs;­<lb/>&longs;et, dictum &longs;it ab illo vtilius fui&longs;&longs;e &longs;ubigi: quam <expan abbr="regũ">regum</expan> <expan abbr="pri-&longs;tinorũ">pri­<lb/>&longs;tinorum</expan> in&longs;ul&longs;a pote&longs;tate diutius detineri. </s> | <s id="id.000118">Vt veteribus <lb/>illis &longs;olis in&longs;tructus cum Alexander parua hominum ad <lb/>30000 manu tot prouincias, tot regna, tot vrbes &longs;ubegi&longs;­<lb/>&longs;et, dictum &longs;it ab illo vtilius fui&longs;&longs;e &longs;ubigi: quam <expan abbr="regũ">regum</expan> <expan abbr="pri­&longs;tinorũ">pri­<lb/>&longs;tinorum</expan> in&longs;ul&longs;a pote&longs;tate diutius detineri. </s> |
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| <s id="id.000119"><expan abbr="Igniũ">Ignium</expan> vero cœ­<lb/>le&longs;tium, &longs;eu <expan abbr="a&longs;trorũ">a&longs;trorum</expan> lumina faces no&longs;træ ardentes <expan abbr="quantũ">quantum</expan> <lb/>v&longs;ibus humanis &longs;atis e&longs;t, imitantur. </s> | <s id="id.000119"><expan abbr="Igniũ">Ignium</expan> vero cœ­<lb/>le&longs;tium, &longs;eu <expan abbr="a&longs;trorũ">a&longs;trorum</expan> lumina faces no&longs;træ ardentes <expan abbr="quantũ">quantum</expan> <lb/>v&longs;ibus humanis &longs;atis e&longs;t, imitantur. </s> |
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| <s id="id.000120">Fontium <expan abbr="per&etilde;nitates">perennitates</expan> <lb/>Heronis inuenta &longs;uppeditant, vt & Cte&longs;ibij hydraulica <lb/>in&longs;trumenta, & merulæ hominum voces <expan abbr="auiumq;">auiumque</expan> cantus <lb/>imitantes, & <foreign lang="greek">e)ggei/bata</foreign> funiculis, ponderibus, orbiculis, <lb/>&longs;piritu inclu&longs;o humanos motus &longs;ine voce <expan abbr="ed&etilde;tes">edentes</expan> perbellè <lb/>expre&longs;&longs;erunt. </s> | <s id="id.000120">Fontium <expan abbr="per&etilde;nitates">perennitates</expan> <lb/>Heronis inuenta &longs;uppeditant, vt & Cte&longs;ibij hydraulica <lb/>in&longs;trumenta, & merulæ hominum voces <expan abbr="auiumq;">auiumque</expan> cantus <lb/>imitantes, & <foreign lang="el">e)ggei/bata</foreign> funiculis, ponderibus, orbiculis, <lb/>&longs;piritu inclu&longs;o humanos motus &longs;ine voce <expan abbr="ed&etilde;tes">edentes</expan> perbellè <lb/>expre&longs;&longs;erunt. </s> |
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| <s id="id.000121"><expan abbr="No&longs;troq;">No&longs;troque</expan> <expan abbr="t&etilde;pore">tempore</expan> alij multi in oculis no&longs;tris <lb/>&longs;imilia plurima po&longs;uerunt. </s> | <s id="id.000121"><expan abbr="No&longs;troq;">No&longs;troque</expan> <expan abbr="t&etilde;pore">tempore</expan> alij multi in oculis no&longs;tris <lb/>&longs;imilia plurima po&longs;uerunt. </s> |
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| <s id="id.000125">Sed <lb/>hæc ad delectationem tantum &longs;unt comparata, vtilia & <lb/>vitæ human&ecedil; <expan abbr="trã&longs;ig&etilde;dæ">tran&longs;igendæ</expan> nece&longs;&longs;aria omnino &longs;unt Agricul­<lb/>turæ, Militaris, Architecturæ, Medicinæ, Nauticæ, Mer­<lb/>caturæ munera: quibus <expan abbr="alim&etilde;ta">alimenta</expan>, tecta, &longs;anitas, ve&longs;titus, di­<lb/>uitiæ, & ab cœli, <expan abbr="ho&longs;tiumq;">ho&longs;tiumque</expan> iniurijs defen&longs;io quæruntur. <lb/></s> | <s id="id.000125">Sed <lb/>hæc ad delectationem tantum &longs;unt comparata, vtilia & <lb/>vitæ human&ecedil; <expan abbr="trã&longs;ig&etilde;dæ">tran&longs;igendæ</expan> nece&longs;&longs;aria omnino &longs;unt Agricul­<lb/>turæ, Militaris, Architecturæ, Medicinæ, Nauticæ, Mer­<lb/>caturæ munera: quibus <expan abbr="alim&etilde;ta">alimenta</expan>, tecta, &longs;anitas, ve&longs;titus, di­<lb/>uitiæ, & ab cœli, <expan abbr="ho&longs;tiumq;">ho&longs;tiumque</expan> iniurijs defen&longs;io quæruntur. <lb/></s> |
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| <s id="id.000126">At quid artes illæ e&longs;&longs;e po&longs;&longs;ent, ni&longs;i machinæ <expan abbr="inu&etilde;tæ">inuentæ</expan> fui&longs;­<lb/>&longs;ent, & in&longs;trumenta, quibus vnâ <expan abbr="cũ">cum</expan> <expan abbr="hominũ">hominum</expan> parua vi, mo­<lb/>les <expan abbr="lapidũ">lapidum</expan>, <expan abbr="lignorũ">lignorum</expan>, <expan abbr="frugũ">frugum</expan>, <expan abbr="terrarũ">terrarum</expan>, <expan abbr="mariũ">marium</expan> <expan abbr="ing&etilde;tes">ingentes</expan> loco <expan abbr="di-mou&etilde;tur">di­<lb/>mouentur</expan>, pelluntur, trahuntur, <expan abbr="cõuehuntur">conuehuntur</expan>, in <expan abbr="gyrũ">gyrum</expan> con­<lb/>torquentur, & <expan abbr="tãdem">tandem</expan> alti&longs;&longs;imis locis & difficilimis repo­<lb/>nuntur? </s> | <s id="id.000126">At quid artes illæ e&longs;&longs;e po&longs;&longs;ent, ni&longs;i machinæ <expan abbr="inu&etilde;tæ">inuentæ</expan> fui&longs;­<lb/>&longs;ent, & in&longs;trumenta, quibus vnâ <expan abbr="cũ">cum</expan> <expan abbr="hominũ">hominum</expan> parua vi, mo­<lb/>les <expan abbr="lapidũ">lapidum</expan>, <expan abbr="lignorũ">lignorum</expan>, <expan abbr="frugũ">frugum</expan>, <expan abbr="terrarũ">terrarum</expan>, <expan abbr="mariũ">marium</expan> <expan abbr="ing&etilde;tes">ingentes</expan> loco <expan abbr="di­mou&etilde;tur">di­<lb/>mouentur</expan>, pelluntur, trahuntur, <expan abbr="cõuehuntur">conuehuntur</expan>, in <expan abbr="gyrũ">gyrum</expan> con­<lb/>torquentur, & <expan abbr="tãdem">tandem</expan> alti&longs;&longs;imis locis & difficilimis repo­<lb/>nuntur? </s> |
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| <s id="id.000127">aut <expan abbr="eæd&etilde;">eædem</expan> iu&longs;ta quantitate appen&longs;æ, aut <expan abbr="m&etilde;&longs;uratæ">men&longs;uratæ</expan> <lb/><expan abbr="cuiq;">cuique</expan> &longs;uum quærenti di&longs;tribuuntur? </s> | <s id="id.000127">aut <expan abbr="eæd&etilde;">eædem</expan> iu&longs;ta quantitate appen&longs;æ, aut <expan abbr="m&etilde;&longs;uratæ">men&longs;uratæ</expan> <lb/><expan abbr="cuiq;">cuique</expan> &longs;uum quærenti di&longs;tribuuntur? </s> |
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| <s id="id.000139">Neptuno verò, cum tridentem antiquitas attribuit, quid <lb/>aliud, quam vectem? </s> | <s id="id.000139">Neptuno verò, cum tridentem antiquitas attribuit, quid <lb/>aliud, quam vectem? </s> |
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| <s id="id.000140">Græci appellant <foreign lang="greek">mo/xlon</foreign> vnde ille <foreign lang="greek">mox­<lb/>leuth\s</foreign> vectiarius à poëtis dictus e&longs;t, & terræ mati&longs;que con­<lb/>cu&longs;&longs;or, & hac machina Syrtes &longs;ubleuans, quo plus Troianis <lb/>apparerent à poëta inducitur,</s></p><p type="main"> | <s id="id.000140">Græci appellant <foreign lang="el">mo/xlon</foreign> vnde ille <foreign lang="el">mox­<lb/>leuth\s</foreign> vectiarius à poëtis dictus e&longs;t, & terræ mati&longs;que con­<lb/>cu&longs;&longs;or, & hac machina Syrtes &longs;ubleuans, quo plus Troianis <lb/>apparerent à poëta inducitur,</s></p><p type="main"> |
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| <s id="id.000141"><emph type="italics"/>Leuat ip&longs;e tridenti,<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000141"><emph type="italics"/>Leuat ip&longs;e tridenti,<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000153"><expan abbr="Trochleã">Trochleam</expan> verò, quæ orbiculus e&longs;t <lb/>circa axem immobilem fune conuolutus, quantis viribus <lb/><expan abbr="præditã">præditam</expan> e&longs;&longs;e animaduertimus. </s> | <s id="id.000153"><expan abbr="Trochleã">Trochleam</expan> verò, quæ orbiculus e&longs;t <lb/>circa axem immobilem fune conuolutus, quantis viribus <lb/><expan abbr="præditã">præditam</expan> e&longs;&longs;e animaduertimus. </s> |
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| <s id="id.000154">Ex hac multiplicata, factum <lb/>e&longs;t tri&longs;pa&longs;ton, pentepa&longs;ton, poly&longs;pa&longs;ton, viribus <expan abbr="quorũ">quorum</expan> <expan abbr="cõfi-&longs;us">confi­<lb/>&longs;us</expan> Archimedes cum audiret <expan abbr="aliqu&etilde;">aliquem</expan> <expan abbr="di&longs;putãtem">di&longs;putantem</expan> plures e&longs;&longs;e <lb/>mundos coram Herone rege Syracu&longs;arum, au&longs;us e&longs;t dicere. <lb/></s> | <s id="id.000154">Ex hac multiplicata, factum <lb/>e&longs;t tri&longs;pa&longs;ton, pentepa&longs;ton, poly&longs;pa&longs;ton, viribus <expan abbr="quorũ">quorum</expan> <expan abbr="cõfi­&longs;us">confi­<lb/>&longs;us</expan> Archimedes cum audiret <expan abbr="aliqu&etilde;">aliquem</expan> <expan abbr="di&longs;putãtem">di&longs;putantem</expan> plures e&longs;&longs;e <lb/>mundos coram Herone rege Syracu&longs;arum, au&longs;us e&longs;t dicere. <lb/></s> |
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| <s id="id.000155">Da mihi vbi &longs;i&longs;tam pedem, & hanc ego <expan abbr="terrã">terram</expan> loco &longs;uo dimo­<lb/>uebo. </s> | <s id="id.000155">Da mihi vbi &longs;i&longs;tam pedem, & hanc ego <expan abbr="terrã">terram</expan> loco &longs;uo dimo­<lb/>uebo. </s> |
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| <s id="id.000156">cuius admirabilis dicti <expan abbr="cũ">cum</expan> rogatus e&longs;&longs;et à rege, vt &longs;pe­<lb/>cimen aliquod ederet, vna manu læua quinquies millenûm <lb/>modiorum <expan abbr="põdus">pondus</expan> attraxit: nauem in &longs;iccum littus eiectam <lb/>& grauiter <expan abbr="oneratã">oneratam</expan> ad &longs;e perinde pertraxit, ac &longs;i in mari re­<lb/>mis, veli&longs;ve impul&longs;a fui&longs;&longs;et: aliam po&longs;tea recens <expan abbr="cõ&longs;tructam">con&longs;tructam</expan> <lb/>ingentis magnitudinis ab Herone regi Ægyptiorum Ptolo­<lb/>mæo dono mittendam, quam omnes <expan abbr="Syracu&longs;anorũ">Syracu&longs;anorum</expan> ciuium <lb/>vires <expan abbr="cõiunctæ">coniunctæ</expan> dimouere loco non <expan abbr="potuerãt">potuerant</expan>, vt &longs;olus Hiero <lb/>machinis adiutus in mare educerer, perfecit: & <expan abbr="quid&etilde;">quidem</expan> cum <lb/>tanta ip&longs;ius regis admiratione, vt exclamarit, <foreign lang="greek">a)po\ tau/ths th=s <lb/>h(me/ras peri\ p=anto\s *arxhmh/dei le/gonti pisteute/on. </foreign></s> | <s id="id.000156">cuius admirabilis dicti <expan abbr="cũ">cum</expan> rogatus e&longs;&longs;et à rege, vt &longs;pe­<lb/>cimen aliquod ederet, vna manu læua quinquies millenûm <lb/>modiorum <expan abbr="põdus">pondus</expan> attraxit: nauem in &longs;iccum littus eiectam <lb/>& grauiter <expan abbr="oneratã">oneratam</expan> ad &longs;e perinde pertraxit, ac &longs;i in mari re­<lb/>mis, veli&longs;ve impul&longs;a fui&longs;&longs;et: aliam po&longs;tea recens <expan abbr="cõ&longs;tructam">con&longs;tructam</expan> <lb/>ingentis magnitudinis ab Herone regi Ægyptiorum Ptolo­<lb/>mæo dono mittendam, quam omnes <expan abbr="Syracu&longs;anorũ">Syracu&longs;anorum</expan> ciuium <lb/>vires <expan abbr="cõiunctæ">coniunctæ</expan> dimouere loco non <expan abbr="potuerãt">potuerant</expan>, vt &longs;olus Hiero <lb/>machinis adiutus in mare educerer, perfecit: & <expan abbr="quid&etilde;">quidem</expan> cum <lb/>tanta ip&longs;ius regis admiratione, vt exclamarit, <foreign lang="el">a)po\ tau/ths th=s <lb/>h(me/ras peri\ p=anto\s *arxhmh/dei le/gonti pisteute/on. </foreign></s> |
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| <s> Ab hoc die <lb/>quicquid dixerit Archimedes huic <expan abbr="credendũ">credendum</expan>. </s> | <s> Ab hoc die <lb/>quicquid dixerit Archimedes huic <expan abbr="credendũ">credendum</expan>. </s> |
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| <s id="id.000223"><emph type="italics"/>Ip&longs;e &longs;olum vertit tauris, & &longs;emina ponit. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000223"><emph type="italics"/>Ip&longs;e &longs;olum vertit tauris, & &longs;emina ponit. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000224">Sed eo animo h&ecedil;c pr&ecedil;&longs;ertim <expan abbr="nũc">nunc</expan> à me dicuntur, vt audacter <lb/>& &longs;ine rubore aliquando ingrediamur officinas fabrorum <lb/>generis omnis, vt & in&longs;trumenta, & machinas quibus vtun­<lb/>tur in &longs;uis operibus conficiendis primum digno&longs;camus, mi­<lb/>rificas ex i&longs;ta dignotione voluptates con&longs;ecuturi, maximè <lb/>cum eas, quæ magna vi pollent, &longs;ummo&longs;que habent v&longs;us <lb/>cognouerimus, maiores adhuc multo po&longs;tea percepturi, &longs;i <lb/>tantæ efficaciæ adiumenti que cau&longs;as inue&longs;tigantes inuene­<lb/>rimus, quod feci&longs;&longs;e Ari&longs;totelem non puduit, qui vno hoc li­<lb/>bello <foreign lang="greek">peri\ mhxanikw=n</foreign> certè iucundo & vtili edito tanta inge­<lb/>nij &longs;ubtilitate atque diligentia per&longs;ecutus e&longs;t, vt omnia ad <lb/>vnum principium, quod e&longs;t circulus, reuocari po&longs;&longs;e inue­<lb/>nerit, & reuocanda e&longs;&longs;e non quidem leuibus probabilium <lb/>argumentorum: &longs;ed graui&longs;&longs;imis demon&longs;trationum geome­<lb/>tricarum momentis o&longs;tenderit. </s> | <s id="id.000224">Sed eo animo h&ecedil;c pr&ecedil;&longs;ertim <expan abbr="nũc">nunc</expan> à me dicuntur, vt audacter <lb/>& &longs;ine rubore aliquando ingrediamur officinas fabrorum <lb/>generis omnis, vt & in&longs;trumenta, & machinas quibus vtun­<lb/>tur in &longs;uis operibus conficiendis primum digno&longs;camus, mi­<lb/>rificas ex i&longs;ta dignotione voluptates con&longs;ecuturi, maximè <lb/>cum eas, quæ magna vi pollent, &longs;ummo&longs;que habent v&longs;us <lb/>cognouerimus, maiores adhuc multo po&longs;tea percepturi, &longs;i <lb/>tantæ efficaciæ adiumenti que cau&longs;as inue&longs;tigantes inuene­<lb/>rimus, quod feci&longs;&longs;e Ari&longs;totelem non puduit, qui vno hoc li­<lb/>bello <foreign lang="el">peri\ mhxanikw=n</foreign> certè iucundo & vtili edito tanta inge­<lb/>nij &longs;ubtilitate atque diligentia per&longs;ecutus e&longs;t, vt omnia ad <lb/>vnum principium, quod e&longs;t circulus, reuocari po&longs;&longs;e inue­<lb/>nerit, & reuocanda e&longs;&longs;e non quidem leuibus probabilium <lb/>argumentorum: &longs;ed graui&longs;&longs;imis demon&longs;trationum geome­<lb/>tricarum momentis o&longs;tenderit. </s> |
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| <s id="id.000225">Itaque &longs;i quis audito huius <lb/>libelli titulo, &longs;tatim ab huius lectione volens aufugere, in&longs;u­<lb/>per pueriliter irrideat, quod regius mathematicarum ar­<lb/>tium profe&longs;&longs;or in rebus, vt putabit, vili&longs;&longs;imis philo&longs;ophari, <lb/>& <foreign lang="greek">gewmetrei=n</foreign> contenderit. </s> | <s id="id.000225">Itaque &longs;i quis audito huius <lb/>libelli titulo, &longs;tatim ab huius lectione volens aufugere, in&longs;u­<lb/>per pueriliter irrideat, quod regius mathematicarum ar­<lb/>tium profe&longs;&longs;or in rebus, vt putabit, vili&longs;&longs;imis philo&longs;ophari, <lb/>& <foreign lang="el">gewmetrei=n</foreign> contenderit. </s> |
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| <s id="id.000226">Huic re&longs;pondebimus, quod ali­<lb/>quando Heraclitum dixi&longs;&longs;e ferunt ijs, qui cum alioqui evm <lb/>vellent, quod forte in ca&longs;a furnaria caloris gratia &longs;edentem <lb/>vidi&longs;&longs;ent, accedere temperarunt, & ingredi fidenter cum <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.030.jpg"/>iu&longs;&longs;i&longs;&longs;et. </s> | <s id="id.000226">Huic re&longs;pondebimus, quod ali­<lb/>quando Heraclitum dixi&longs;&longs;e ferunt ijs, qui cum alioqui evm <lb/>vellent, quod forte in ca&longs;a furnaria caloris gratia &longs;edentem <lb/>vidi&longs;&longs;ent, accedere temperarunt, & ingredi fidenter cum <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.030.jpg"/>iu&longs;&longs;i&longs;&longs;et. </s> |
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| <s id="id.000227">Ne quidem, inquit ille, huic loco dij de&longs;unt im­<lb/>mortales: &longs;ic nec i&longs;ti rerum generi dulci&longs;&longs;ima & vtili&longs;&longs;ima, <lb/>& <expan abbr="cũ">cum</expan> &longs;umma ingenij humani voluptate coniuncta &longs;ua dee&longs;t <lb/>philo&longs;ophia, vt in qua explicanda, & <expan abbr="exornãda">exornanda</expan> præter Ari­<lb/>&longs;totelem multi viri præclari &longs;tudium &longs;uum collocauerint, <lb/>Cliades, Architas, Archimedes, Cte&longs;ibius, Nymphodorus, <lb/>Philo byzanteus, Diphilas, Charidas, Polyides, Phyrus, <lb/>Age&longs;i&longs;tratus, ex quorum <expan abbr="cõmentarijs">commentarijs</expan> quæ vtilia e&longs;&longs;ent ædi­<lb/>ficationi collecta in vnum Vitruuius corpus coëgit: &longs;ed & <lb/>præter illos quorum ferè nobis <expan abbr="re&longs;tãt">re&longs;tant</expan> &longs;ola nomina Pappus, <lb/>Hero vterque, Tzetzes, Iordanus, & è recentioribus Leoni­<lb/>cus, Picolominus, Cardanus, Guido Vbaldus, quorum in­<lb/>genia &longs;eruilia nunquam rectè quis dixerit aut putarit. </s> | <s id="id.000227">Ne quidem, inquit ille, huic loco dij de&longs;unt im­<lb/>mortales: &longs;ic nec i&longs;ti rerum generi dulci&longs;&longs;ima & vtili&longs;&longs;ima, <lb/>& <expan abbr="cũ">cum</expan> &longs;umma ingenij humani voluptate coniuncta &longs;ua dee&longs;t <lb/>philo&longs;ophia, vt in qua explicanda, & <expan abbr="exornãda">exornanda</expan> præter Ari­<lb/>&longs;totelem multi viri præclari &longs;tudium &longs;uum collocauerint, <lb/>Cliades, Architas, Archimedes, Cte&longs;ibius, Nymphodorus, <lb/>Philo byzanteus, Diphilas, Charidas, Polyides, Phyrus, <lb/>Age&longs;i&longs;tratus, ex quorum <expan abbr="cõmentarijs">commentarijs</expan> quæ vtilia e&longs;&longs;ent ædi­<lb/>ficationi collecta in vnum Vitruuius corpus coëgit: &longs;ed & <lb/>præter illos quorum ferè nobis <expan abbr="re&longs;tãt">re&longs;tant</expan> &longs;ola nomina Pappus, <lb/>Hero vterque, Tzetzes, Iordanus, & è recentioribus Leoni­<lb/>cus, Picolominus, Cardanus, Guido Vbaldus, quorum in­<lb/>genia &longs;eruilia nunquam rectè quis dixerit aut putarit. </s> |
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| <s id="id.000228">quin <lb/>& Hippocratcs magnus ille medicus à &longs;e nonnulla luxatio­<lb/>nibus, & fracturis reponendis inuenta commoda gloriatur, <lb/>cuiu&longs;modi &longs;unt <foreign lang="greek">o)/noi, o)/niskoi\,</foreign> & &longs;camnum, quæ vnà cum alijs <lb/>Galenus quo que paruis eorum exemplaribus vtens &longs;uos &longs;e <lb/>di&longs;cipulos docere te&longs;tatus e&longs;t. </s> | <s id="id.000228">quin <lb/>& Hippocratcs magnus ille medicus à &longs;e nonnulla luxatio­<lb/>nibus, & fracturis reponendis inuenta commoda gloriatur, <lb/>cuiu&longs;modi &longs;unt <foreign lang="el">o)/noi, o)/niskoi\,</foreign> & &longs;camnum, quæ vnà cum alijs <lb/>Galenus quo que paruis eorum exemplaribus vtens &longs;uos &longs;e <lb/>di&longs;cipulos docere te&longs;tatus e&longs;t. </s> |
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| <s id="id.000229">In i&longs;tam igitur inqui&longs;itio­<lb/>nem, tractationem, commentationem nobilem, ingenuam <lb/>& philo&longs;ophi non vulgariter vt multi: &longs;ed in Geometria <lb/>magnopere eruditi ingenio digni&longs;&longs;imam, tot magnorum <lb/>virorum exemplo, &longs;i, candide lector, me hortante atque his <lb/>no&longs;trorum commentariorum vigilijs, vtcunque adiuuante, <lb/>diligenter incubueris, tui te laboris, mihi crede, penitebit <lb/>numquam. </s> | <s id="id.000229">In i&longs;tam igitur inqui&longs;itio­<lb/>nem, tractationem, commentationem nobilem, ingenuam <lb/>& philo&longs;ophi non vulgariter vt multi: &longs;ed in Geometria <lb/>magnopere eruditi ingenio digni&longs;&longs;imam, tot magnorum <lb/>virorum exemplo, &longs;i, candide lector, me hortante atque his <lb/>no&longs;trorum commentariorum vigilijs, vtcunque adiuuante, <lb/>diligenter incubueris, tui te laboris, mihi crede, penitebit <lb/>numquam. </s> |
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| <s id="id.000236"><foreign lang="fr"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS. </foreign></s></p></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.032.jpg"/><section><p type="head"> | <s id="id.000236"><foreign lang="fr"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS. </foreign></s></p></section><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.032.jpg"/><section><p type="head"> |
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| <s id="id.000237">INDEX MEMORABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs. <lb/><arrow.to.target n="table1"/></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/><foreign lang="greek">*abussos</foreign> unde. pag. <emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen­tia rotæ. <emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues. <emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in opificijs egent &longs;tatione, vel &longs;eßione tantùm<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid. <emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agriculturæ nece&longs;&longs;aria. <emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Ædes rotunda mirifica. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ædificium durabile rectà in&longs;i&longs;tit. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Æolus primus v&longs;us velis. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Æquale e&longs;t cau&longs;a quietis. <emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Æquilibrium in ponderatione. <emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alourgopw/lai</foreign> <emph type="italics"/>qui. <emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angulus æqualitatis, ideóque quietis. <emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omnia <expan abbr="quie&longs;cũt">quie&longs;cunt</expan>. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemnæ motio. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is medij confert ad motum proiecti. <emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli-cium. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura & arte. <emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, & plantæ in&longs;i&longs;lunt plane terræ ad rectos angulos. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelai regis factum in eclip&longs;i Solis. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus data potentia mouere. <emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architecturæ tres partes. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us à Nonio. <emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, & ad alium &longs;co-pum vertit. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plena. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, & naturæ differentia. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, & &longs;ordi-das. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magnæ. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes. <emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonicæ. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co-chlea. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, & aues longo collo vident cœ-lum, vt homo. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio. <emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="greek">*auto/mata. </foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel conus inuer&longs;us. <emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia pondera. <emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tutò a&longs;cendunt, pericu-losè de&longs;cendunt. <emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="cãcellariæ">cancellariæ</expan> Apo-&longs;tolicæ regens con&longs;ecrat, & compreca-tur multa &longs;uper crucem apici obeli&longs;ci imponendam. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim atque crux impo&longs;ita fuit apici obe-li&longs;ci. <emph.end type="italics"/></cell><cell>142</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.033.jpg"/><row><cell><emph type="italics"/>Bouilli error, qui putabat rectam iuuen-tam æqualem peripheriæ ex circuli &longs;uper planum reuolutione. <emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratrũ">aratrum</expan> pariter &longs;ubiugandi. <emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Boüm in iugo imbecillior &longs;ubleuari po-te&longs;t. <emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um habent. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedibus ad rectos imminet. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*ka/iar</foreign> <emph type="italics"/>in fund a quid &longs;it. <emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calliæ Rhodien&longs;is factum <expan abbr="mechanicũ">mechanicum</expan>. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us à Scaligero. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;curè & imper&longs;ectè: inge-niosè tamen&longs;crip&longs;it. <emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo-dem tempore moti. <emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo. <emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex. <emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, & &longs;imia e&longs;t ridicula ho-minis imitatio. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis manu. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="greek">a)nti/xeir,</foreign> vt in manu hominis. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem. <emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere, licet&longs;u operatio chirurgica. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author Dædalus. <emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principiũ">principium</expan> omnium virium, quæ&longs;unt in machinis motricibus. <emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabilißimus. <emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum. <emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, & pone mouetur &longs;imul. <emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet. <emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus. <emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus. <emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore circulo. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores. <emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="cõtingit">contingit</expan> <expan abbr="planũ">planum</expan> in vno <expan abbr="pũcto">puncto</expan>. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris. <emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per æqualem orbitam reuoluitur & contra. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="cõcentrici">concentrici</expan> inæquales iuncti æqua-lem orbitam <expan abbr="percurrũt">percurrunt</expan>. <emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris. <emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima & <gap/>pinquior remotiore maior. <emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem interius tangat de&longs;cribere. <emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>Cœli motus unde. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Cœlum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Colũba">Columba</expan> volans Acchitæ <expan abbr="nõ">non</expan> e&longs;t fabula. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria quæ &longs;int verè. <emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam quie&longs;cens. <emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum & concauum non &longs;unt con-traria. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochleæ effecta. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochleæ Ari&longs;toteles non meminit. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel vnus cuneus continuatus. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus. <emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium demon&longs;tratio linearis. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid. <emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us. <emph.end type="italics"/></cell><cell>127</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.034.jpg"/><row><cell><emph type="italics"/>Cuneimagna vis. <emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magnæ moles diuiduntur. <emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Crocæ Ari&longs;toteliquid. <emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Crocæ rotundæ. <emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabilißima figurarum. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur. <emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Dædali &longs;tatuæliberæ, & ligatæ. <emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid. <emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animaliũ">animalium</expan> inci&longs;ij &longs;unt cunei. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat. <emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia à clauo in-fixo. <emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit crucem apici obeli&longs;ci. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, & Sphæræ in&longs;i&longs;tit plano ad rectos. <emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam quæratio. <emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;itæ crucis obeli&longs;co. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontanæ triumphus. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra à &longs;undamentis &longs;ublata, & aliò tran&longs;lata. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="greek">*epipo/laia</foreign> <emph type="italics"/>vis quæ. <emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergatæ, & &longs;ucculæ di&longs;tinctio. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent. <emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium. <emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua quæ. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit cæte-ras. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="decũbentis">decumbentis</expan> exirema. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corporũiuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, & natura-les impetus. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu mediæ quæ. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, & forfex quid. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Spharæ. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Phænicuno. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fundæ v&longs;us. <emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fundæ cur Balearis. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius proijcit, quam manus. <emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem & plumbum. <emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non lædit. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur &longs;ine cyphorum fractione & aquæ effu-&longs;ione. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Georgij Lhullerij machina. <emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum & eius partes. <emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi & remi differentia. <emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne. <emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus breuiora habent. <emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ha&longs;tæ ferrum e&longs;t cuneus. <emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u Geometriæ,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, & progre&longs;sio, vs fiat. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="nõ">non</expan> &longs;tatrectus, vt <expan abbr="cælũ">cælum</expan> videus. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus. <emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex. <emph.end type="italics"/></cell><cell>194</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.035.jpg"/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus & paruuus quis. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non æqualiter premuntur. <emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, & gnemones antecellunt. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;icũ">magnificum</expan>. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro. <emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid. <emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum & pronum commune e&longs;t multis anim antibus. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata. <emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli. <emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore. <emph.end type="italics"/></cell><cell>27.44. 45</cell></row><row><cell><emph type="italics"/>Libræ finis. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libræpartes. <emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libræfallaciæ. <emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libræ valde exigua examinantis fabri-ca. <emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="põdere">pondere</expan> facilius mouetur. <emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="maneãt">maneant</expan>, aut redeant ad <expan abbr="æquilibriũ">æquilibrium</expan> &longs;ublatis <expan abbr="põderilus">ponderilus</expan>. <emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligneũ">ligneum</expan> facilius mouetur ferreo. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora. <emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="ferũ-tur">ferun-tur</expan> bumere, quam à medio. <emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt è genu facilius <expan abbr="frãgatur">frangatur</expan>. <emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas lationes &longs;ertur. <emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Longũ">Longum</expan> pondus difficilius fertur humero, <expan abbr="quã">quam</expan> brcue, vt &longs;it <expan abbr="põdere">pondere</expan> æquale. <emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum diametrum. <emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Machina quid. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum quædam per &longs;e, quædam-non per&longs;e mouentur. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machinæ valentißimæ tres ex &longs;ententia Hippocratis. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, & diuer&longs;arum compo&longs;itio adæquat vnam, quæ tanta, quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materiæ. <emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machinæ ad ædificia, & ad bellum. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna quæ. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="lõgius">longius</expan> <expan abbr="manubriũ">manubrium</expan> grauius ferit. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;tũ">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;torũ">in&longs;trumentorum</expan>. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes. <emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano & <expan abbr="Frãci&longs;co">Franci&longs;co</expan> patricio. <emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta. <emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica quæ dici debeant. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid. <emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim mathematica. <emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanicæ artes vnde dictæ. <emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophiæ. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggreßionem operis quid con&longs;iderare debeat. <emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="greek">paradocopoioi\. </foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata. <emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit cæteras. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt. <emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum quò vergit facile moue­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.036.jpg"/><emph type="italics"/>tur. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur. <emph.end type="italics"/></cell><cell>104. </cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;æpe magnam vim obti-net. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, & &longs;ucceßiuè. <emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-minũ">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>. <emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> <expan abbr="lineã">lineam</expan>. <emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non habentibus <expan abbr="nõ">non</expan> fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan>. <emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet. <emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili à quibus pen-deat. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchræ. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra à poëta. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus à Galeno. <emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, & eundem &longs;copum habet. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis. <emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, & nauigationis pericula. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauigij Hieronis de&longs;criptio incredibi-lis. <emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, & partes. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaicæ magnitudo. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um. <emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuariæ promotio. <emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as à quibus. <emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula è plumbo tenui &longs;upernatat aquæ. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Nautæ in procellis &longs;olo vtuntur dolone. <emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces à nucifrangibulo &longs;ine ictu facilius franguntur, quam cum ictu. <emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifrãgibuli">Nucifrangibuli</expan> & forcipis di&longs;tinctio. <emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum. <emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid. <emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheriæ maior e&longs;t, quam minoris. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Obeli&longs;cus quid. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;tiqualis & <expan abbr="quãtus">quantus</expan>. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, & Christo &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem quinque, omnia difficillima. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum quæ ma-chinæ, & quot adhibitæ. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;cũ">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, & à quibus perfectæ. <emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D. Fetri po&longs;iti Ichnographiæ. <emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co & Xy&longs;to V. Summ. Pont. & cruce Gulielmi Blanci <expan abbr="epigrãma">epigramma</expan>. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="greek">*odonta/gra *h)/ \o)donta/gw=gos</foreign> <emph type="italics"/>quid. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="greek">*odonta/gw=gos</foreign> <emph type="italics"/><expan abbr="plũbeus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum volæ manus impo&longs;itum frangitur manu illæ&longs;a. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="greek">*ourano/skopos</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt cælum. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Palang a quid. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere. <emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percußio quid. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußio à quibus fit maior. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußionis validiores cau&longs;æ. <emph.end type="italics"/></cell><cell>128.129</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.037.jpg"/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum, findendum, frangendum, quatien-dum. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares à peripherijs in &longs;emi-diametros circulorum inæqualium æquales auferunt &longs;egmenta &longs;emidia-metrorum inæqualia, quorum maius e&longs;t quod è minori aufertur. <emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheriæ maiores à punctis à centro remotioribus de&longs;cribuntur. <emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum difficilius mouentur. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangarij tetraphori, hexaphori. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangij ictus. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx. <emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri aëre pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non e&longs;&longs;et aunexum. <emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="greek">*po/da e)rei=n,</foreign> <emph type="italics"/>& canere quid. <emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*po/des, & pro/podes. </foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*poliorkitik*h\</foreign> <emph type="italics"/>pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*polu/spaston. </foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Lutetiæ ab Henrico 111. inchoatus ab Henrico 1111. perficietur. <emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Preßio porrecta. <emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri. <emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progreßio in animali vt fit. <emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens à mo-tore e&longs;t can&longs;a eorum lationis. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur procul. <emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio & C. Lælius colligentes cro-cas quæ dicerent. <emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid. <emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit. <emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad centrum, quam maior. <emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectilineæ figuræ, & cubus difficulter mouentur &longs;uper planum. <emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differentiæ. <emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maximè mouent na-uim. <emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati. <emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit. <emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis. <emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remigũ">Remigum</expan> plus nauim promoueant. <emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum lateris motum duobus motibus minus &longs;paty conficit, quam latus ip&longs;um. <emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor. <emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non æqualem <expan abbr="rectã">rectam</expan> tran&longs;it. <emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid. <emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rotæ binæ quaternis faciliores. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus maiorese&longs;&longs;e debent. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rotæ curruum maiores commodiores ad facilitatem & celeritatem. <emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur. <emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus. <emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rotũdorum">Rotundorum</expan> motus accurata diui&longs;io. <emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri parte poni debet. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt magna. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, & quotuplex. <emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytalæ v&longs;us duplex. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.038.jpg"/><emph type="italics"/>quam &longs;uper curribus. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non item. <emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum, & nequaquam in vnarecta. <emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentariæ artes vtuntur &longs;eßione &longs;ecu-ra. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Seßio propriè dista & latè<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Seßio cum &longs;ecuritate. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius. <emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="greek">*s*h/kwma</foreign> <emph type="italics"/>quid. <emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sphæra quale corpus. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra corpus e&longs;t mobilißimum & mo-uentißimum. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra contingit planum in puncto. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sphæra Archimedis per &longs;e mobilis non e&longs;t fabula. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sphæratopæia pars e&longs;t mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stateræ partes. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stateræ v&longs;us. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non v&longs;urpatur, &longs;ed libra. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult æ &longs;unt libræ. <emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us. <emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stateræ paruo æquipondio magna ponde-ra expendunt. <emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stateræ dimidium e&longs;t an&longs;a. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis factæ de-mon&longs;tratio. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terræ. <emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio & &longs;eßio propria <expan abbr="sũt">sunt</expan> homini. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="greek">*stata</foreign> <emph type="italics"/>quæ. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio è iacente indiget acutis angu-lis. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum ex femore cum tibia, tum ex thoræce & femore. <emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, & obtu&longs;os angulos. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia. <emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam laxa. <emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis. <emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo à Pythagoreis, & Platone. <emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus. <emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="greek">*qaumatourgik*h\</foreign> <emph type="italics"/>pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis à problemate di&longs;tinctio. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid. <emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us. <emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum. <emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos po&longs;tulant. <emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid. <emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis. <emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed lentius trahunt. <emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochleæ duæ legitimè compofitæ magna pondera adducunt. <emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Vectis quid. <emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes. <emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex. <emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram. <emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machinæ multæ &longs;imul. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid. <emph.end type="italics"/></cell><cell>92</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.039.jpg"/><row><cell><emph type="italics"/>Veli&longs;pecies. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us, obliquus. <emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio. <emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur. <emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum. <emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci. <emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aquæ e&longs;t linea &longs;piralis vnius, aut plurium reuolutionum. <emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo à nautis vitentar. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t & Loffoet. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt nautæ &longs;e impe­<gap/>gi&longs;&longs;e. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare à Vortice. <emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> quò feratur. <emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus &longs;uis varietatem. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*zugo\s & *zugo\n. </foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="greek">*zugosta/ths. </foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides. <emph.end type="italics"/></cell><cell>45</cell></row></table><p type="head"> | <s id="id.000237">INDEX MEMORABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs. <lb/><arrow.to.target n="table1"/></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/><foreign lang="el">*abussos</foreign> unde. pag. <emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen­tia rotæ. <emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues. <emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in opificijs egent &longs;tatione, vel &longs;eßione tantùm<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid. <emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agriculturæ nece&longs;&longs;aria. <emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Ædes rotunda mirifica. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ædificium durabile rectà in&longs;i&longs;tit. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Æolus primus v&longs;us velis. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Æquale e&longs;t cau&longs;a quietis. <emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Æquilibrium in ponderatione. <emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="el">*alourgopw/lai</foreign> <emph type="italics"/>qui. <emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angulus æqualitatis, ideóque quietis. <emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omnia <expan abbr="quie&longs;cũt">quie&longs;cunt</expan>. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemnæ motio. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is medij confert ad motum proiecti. <emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli­cium. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura & arte. <emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, & plantæ in&longs;i&longs;lunt plane terræ ad rectos angulos. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelai regis factum in eclip&longs;i Solis. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus data potentia mouere. <emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architecturæ tres partes. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us à Nonio. <emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, & ad alium &longs;co­pum vertit. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plena. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, & naturæ differentia. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, & &longs;ordi­das. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magnæ. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes. <emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonicæ. <emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co­chlea. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, & aues longo collo vident cœ­lum, vt homo. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio. <emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="el">*auto/mata. </foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel conus inuer&longs;us. <emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia pondera. <emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tutò a&longs;cendunt, pericu­losè de&longs;cendunt. <emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="cãcellariæ">cancellariæ</expan> Apo­&longs;tolicæ regens con&longs;ecrat, & compreca­tur multa &longs;uper crucem apici obeli&longs;ci imponendam. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim atque crux impo&longs;ita fuit apici obe­li&longs;ci. <emph.end type="italics"/></cell><cell>142</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.033.jpg"/><row><cell><emph type="italics"/>Bouilli error, qui putabat rectam iuuen­tam æqualem peripheriæ ex circuli &longs;uper planum reuolutione. <emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratrũ">aratrum</expan> pariter &longs;ubiugandi. <emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Boüm in iugo imbecillior &longs;ubleuari po­te&longs;t. <emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um habent. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedibus ad rectos imminet. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="el">*ka/iar</foreign> <emph type="italics"/>in fund a quid &longs;it. <emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calliæ Rhodien&longs;is factum <expan abbr="mechanicũ">mechanicum</expan>. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us à Scaligero. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;curè & imper&longs;ectè: inge­niosè tamen&longs;crip&longs;it. <emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo­dem tempore moti. <emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo. <emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex. <emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, & &longs;imia e&longs;t ridicula ho-minis imitatio. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis manu. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="el">a)nti/xeir,</foreign> vt in manu hominis. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem. <emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere, licet&longs;u operatio chirurgica. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author Dædalus. <emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principiũ">principium</expan> omnium virium, quæ&longs;unt in machinis motricibus. <emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabilißimus. <emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum. <emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, & pone mouetur &longs;imul. <emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet. <emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus. <emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus. <emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore circulo. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores. <emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="cõtingit">contingit</expan> <expan abbr="planũ">planum</expan> in vno <expan abbr="pũcto">puncto</expan>. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris. <emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per æqualem orbitam reuoluitur & contra. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="cõcentrici">concentrici</expan> inæquales iuncti æqua-lem orbitam <expan abbr="percurrũt">percurrunt</expan>. <emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris. <emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima & <gap/>pinquior remotiore maior. <emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem interius tangat de&longs;cribere. <emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>Cœli motus unde. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Cœlum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Colũba">Columba</expan> volans Acchitæ <expan abbr="nõ">non</expan> e&longs;t fabula. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria quæ &longs;int verè. <emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam quie&longs;cens. <emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum & concauum non &longs;unt con-traria. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochleæ effecta. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochleæ Ari&longs;toteles non meminit. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel vnus cuneus continuatus. <emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus. <emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium demon&longs;tratio linearis. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid. <emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us. <emph.end type="italics"/></cell><cell>127</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.034.jpg"/><row><cell><emph type="italics"/>Cuneimagna vis. <emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magnæ moles diuiduntur. <emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Crocæ Ari&longs;toteliquid. <emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Crocæ rotundæ. <emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabilißima figurarum. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur. <emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Dædali &longs;tatuæliberæ, & ligatæ. <emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid. <emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animaliũ">animalium</expan> inci&longs;ij &longs;unt cunei. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat. <emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia à clauo in-fixo. <emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit crucem apici obeli&longs;ci. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, & Sphæræ in&longs;i&longs;tit plano ad rectos. <emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam quæratio. <emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;itæ crucis obeli&longs;co. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontanæ triumphus. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra à &longs;undamentis &longs;ublata, & aliò tran&longs;lata. <emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus. <emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="el">*epipo/laia</foreign> <emph type="italics"/>vis quæ. <emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergatæ, & &longs;ucculæ di&longs;tinctio. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent. <emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium. <emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua quæ. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit cæte-ras. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="decũbentis">decumbentis</expan> exirema. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corporũiuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, & natura-les impetus. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu mediæ quæ. <emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, & forfex quid. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Spharæ. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Phænicuno. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fundæ v&longs;us. <emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fundæ cur Balearis. <emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius proijcit, quam manus. <emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem & plumbum. <emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non lædit. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur &longs;ine cyphorum fractione & aquæ effu-&longs;ione. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Georgij Lhullerij machina. <emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum & eius partes. <emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi & remi differentia. <emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne. <emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus breuiora habent. <emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ha&longs;tæ ferrum e&longs;t cuneus. <emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u Geometriæ,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, & progre&longs;sio, vs fiat. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="nõ">non</expan> &longs;tatrectus, vt <expan abbr="cælũ">cælum</expan> videus. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus. <emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex. <emph.end type="italics"/></cell><cell>194</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.035.jpg"/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus & paruuus quis. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non æqualiter premuntur. <emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, & gnemones antecellunt. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;icũ">magnificum</expan>. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro. <emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid. <emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum & pronum commune e&longs;t multis anim antibus. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata. <emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli. <emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore. <emph.end type="italics"/></cell><cell>27.44. 45</cell></row><row><cell><emph type="italics"/>Libræ finis. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libræpartes. <emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libræfallaciæ. <emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libræ valde exigua examinantis fabri-ca. <emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="põdere">pondere</expan> facilius mouetur. <emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="maneãt">maneant</expan>, aut redeant ad <expan abbr="æquilibriũ">æquilibrium</expan> &longs;ublatis <expan abbr="põderilus">ponderilus</expan>. <emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligneũ">ligneum</expan> facilius mouetur ferreo. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora. <emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="ferũ-tur">ferun-tur</expan> bumere, quam à medio. <emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt è genu facilius <expan abbr="frãgatur">frangatur</expan>. <emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas lationes &longs;ertur. <emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Longũ">Longum</expan> pondus difficilius fertur humero, <expan abbr="quã">quam</expan> brcue, vt &longs;it <expan abbr="põdere">pondere</expan> æquale. <emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum diametrum. <emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Machina quid. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum quædam per &longs;e, quædam-non per&longs;e mouentur. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machinæ valentißimæ tres ex &longs;ententia Hippocratis. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, & diuer&longs;arum compo&longs;itio adæquat vnam, quæ tanta, quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materiæ. <emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machinæ ad ædificia, & ad bellum. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna quæ. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="lõgius">longius</expan> <expan abbr="manubriũ">manubrium</expan> grauius ferit. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;tũ">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;torũ">in&longs;trumentorum</expan>. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes. <emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano & <expan abbr="Frãci&longs;co">Franci&longs;co</expan> patricio. <emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta. <emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica quæ dici debeant. <emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid. <emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim mathematica. <emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanicæ artes vnde dictæ. <emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophiæ. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggreßionem operis quid con&longs;iderare debeat. <emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="el">paradocopoioi\. </foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata. <emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit cæteras. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt. <emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum quò vergit facile moue­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.036.jpg"/><emph type="italics"/>tur. <emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur. <emph.end type="italics"/></cell><cell>104. </cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;æpe magnam vim obti-net. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, & &longs;ucceßiuè. <emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-minũ">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>. <emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> <expan abbr="lineã">lineam</expan>. <emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non habentibus <expan abbr="nõ">non</expan> fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan>. <emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet. <emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili à quibus pen-deat. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchræ. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra à poëta. <emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus à Galeno. <emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, & eundem &longs;copum habet. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis. <emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, & nauigationis pericula. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauigij Hieronis de&longs;criptio incredibi-lis. <emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, & partes. <emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaicæ magnitudo. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um. <emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuariæ promotio. <emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as à quibus. <emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula è plumbo tenui &longs;upernatat aquæ. <emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Nautæ in procellis &longs;olo vtuntur dolone. <emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta. <emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces à nucifrangibulo &longs;ine ictu facilius franguntur, quam cum ictu. <emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifrãgibuli">Nucifrangibuli</expan> & forcipis di&longs;tinctio. <emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum. <emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid. <emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheriæ maior e&longs;t, quam minoris. <emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Obeli&longs;cus quid. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;tiqualis & <expan abbr="quãtus">quantus</expan>. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, & Christo &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem quinque, omnia difficillima. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum quæ ma-chinæ, & quot adhibitæ. <emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;cũ">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, & à quibus perfectæ. <emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D. Fetri po&longs;iti Ichnographiæ. <emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co & Xy&longs;to V. Summ. Pont. & cruce Gulielmi Blanci <expan abbr="epigrãma">epigramma</expan>. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="el">*odonta/gra *h)/ \o)donta/gw=gos</foreign> <emph type="italics"/>quid. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="el">*odonta/gw=gos</foreign> <emph type="italics"/><expan abbr="plũbeus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat. <emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum volæ manus impo&longs;itum frangitur manu illæ&longs;a. <emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="el">*ourano/skopos</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt cælum. <emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Palang a quid. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere. <emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percußio quid. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußio à quibus fit maior. <emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percußionis validiores cau&longs;æ. <emph.end type="italics"/></cell><cell>128.129</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.037.jpg"/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum, findendum, frangendum, quatien-dum. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares à peripherijs in &longs;emi-diametros circulorum inæqualium æquales auferunt &longs;egmenta &longs;emidia-metrorum inæqualia, quorum maius e&longs;t quod è minori aufertur. <emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheriæ maiores à punctis à centro remotioribus de&longs;cribuntur. <emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum difficilius mouentur. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangarij tetraphori, hexaphori. <emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangij ictus. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx. <emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens. <emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri aëre pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non e&longs;&longs;et aunexum. <emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="el">*po/da e)rei=n,</foreign> <emph type="italics"/>& canere quid. <emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="el">*po/des, & pro/podes. </foreign></cell><cell>96</cell></row><row><cell><foreign lang="el">*poliorkitik*h\</foreign> <emph type="italics"/>pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="el">*polu/spaston. </foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Lutetiæ ab Henrico 111. inchoatus ab Henrico 1111. perficietur. <emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Preßio porrecta. <emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri. <emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progreßio in animali vt fit. <emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens à mo-tore e&longs;t can&longs;a eorum lationis. <emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur procul. <emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio & C. Lælius colligentes cro-cas quæ dicerent. <emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid. <emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit. <emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad centrum, quam maior. <emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectilineæ figuræ, & cubus difficulter mouentur &longs;uper planum. <emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui. <emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differentiæ. <emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maximè mouent na-uim. <emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati. <emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit. <emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis. <emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remigũ">Remigum</expan> plus nauim promoueant. <emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum lateris motum duobus motibus minus &longs;paty conficit, quam latus ip&longs;um. <emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor. <emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non æqualem <expan abbr="rectã">rectam</expan> tran&longs;it. <emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid. <emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rotæ binæ quaternis faciliores. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus maiorese&longs;&longs;e debent. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rotæ curruum maiores commodiores ad facilitatem & celeritatem. <emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur. <emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus. <emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rotũdorum">Rotundorum</expan> motus accurata diui&longs;io. <emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri parte poni debet. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt magna. <emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus. <emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, & quotuplex. <emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytalæ v&longs;us duplex. <emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.038.jpg"/><emph type="italics"/>quam &longs;uper curribus. <emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non item. <emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo. <emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum, & nequaquam in vnarecta. <emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentariæ artes vtuntur &longs;eßione &longs;ecu-ra. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Seßio propriè dista & latè<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Seßio cum &longs;ecuritate. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius. <emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="el">*s*h/kwma</foreign> <emph type="italics"/>quid. <emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sphæra quale corpus. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra corpus e&longs;t mobilißimum & mo-uentißimum. <emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sphæra contingit planum in puncto. <emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sphæra Archimedis per &longs;e mobilis non e&longs;t fabula. <emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sphæratopæia pars e&longs;t mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stateræ partes. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stateræ v&longs;us. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non v&longs;urpatur, &longs;ed libra. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra. <emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult æ &longs;unt libræ. <emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us. <emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stateræ paruo æquipondio magna ponde-ra expendunt. <emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stateræ dimidium e&longs;t an&longs;a. <emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis factæ de-mon&longs;tratio. <emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terræ. <emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea. <emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio & &longs;eßio propria <expan abbr="sũt">sunt</expan> homini. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="el">*stata</foreign> <emph type="italics"/>quæ. <emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio. <emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio è iacente indiget acutis angu-lis. <emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum ex femore cum tibia, tum ex thoræce & femore. <emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, & obtu&longs;os angulos. <emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid. <emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia. <emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam laxa. <emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis. <emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo à Pythagoreis, & Platone. <emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus. <emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis. <emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="el">*qaumatourgik*h\</foreign> <emph type="italics"/>pars Mechanices. <emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis à problemate di&longs;tinctio. <emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid. <emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us. <emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum. <emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos po&longs;tulant. <emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid. <emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid. <emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis. <emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed lentius trahunt. <emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochleæ duæ legitimè compofitæ magna pondera adducunt. <emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Vectis quid. <emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus. <emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes. <emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex. <emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram. <emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machinæ multæ &longs;imul. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid. <emph.end type="italics"/></cell><cell>92</cell></row><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.039.jpg"/><row><cell><emph type="italics"/>Veli&longs;pecies. <emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us, obliquus. <emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio. <emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur. <emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum. <emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci. <emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aquæ e&longs;t linea &longs;piralis vnius, aut plurium reuolutionum. <emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo à nautis vitentar. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t & Loffoet. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt nautæ &longs;e impe­<gap/>gi&longs;&longs;e. <emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare à Vortice. <emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> quò feratur. <emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus &longs;uis varietatem. <emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author. <emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus. <emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="el">*zugo\s & *zugo\n. </foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="el">*zugosta/ths. </foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides. <emph.end type="italics"/></cell><cell>45</cell></row></table><p type="head"> |
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| <s id="id.000238">FINIS. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.040.jpg" pagenum="1"/><figure id="id.035.01.040.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.040.1.jpg"/></p></section></front><body><chap><p type="head"> | <s id="id.000238">FINIS. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.040.jpg" pagenum="1"/><figure id="id.035.01.040.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.040.1.jpg"/></p></section></front><body><chap><subchap1><p type="head"> |
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| <s id="id.000239"><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u*s<lb/>*m*h*x*a*n*i*k*a</foreign>. <lb/>ARISTOTELIS <lb/>MECHANICA. </s></p><p type="main"> | <s id="id.000239"><foreign lang="el">*a*r*i*s*t*o*t*e*l*o*u*s <lb/>*m*h*x*a*n*i*k*a</foreign>. <lb/>ARISTOTELIS <lb/>MECHANICA. </s></p><p type="main"> |
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| <s id="id.000241"><foreign lang="greek">Ti e)sti mhxanh\, kai=\ peri\ ku/klou, tw=n e)n toi=s mhxanikoi=s <lb/>qaumasi/wn ai)ti/an e)/xontos. <arrow.to.target n="marg1"/></foreign></s></p><p type="head"> | <s id="id.000241"><foreign lang="el">Ti/ e)sti mhxanh\, kai=\ peri\ ku/klou, tw=n e)n toi=s mhxanikoi=s <lb/>qaumasi/wn ai)ti/an e)/xontos. <arrow.to.target n="marg1"/></foreign></s></p><p type="head"> |
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| <s id="id.000242"><margin.target id="marg1"/>Pro <foreign lang="greek">mhxanh\,</foreign><lb/>lege <foreign lang="greek">mhxani­<lb/>kh/. </foreign></s></p><p type="head"> | <s id="id.000242"><margin.target id="marg1"/>Pro <foreign lang="el">mhxanh\,</foreign><lb/>lege <foreign lang="el">mhxani­<lb/>kh/. </foreign></s></p><p type="head"> |
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| <s id="id.000243"><emph type="italics"/>Quid e&longs;t Mechanice, & de circulo in quo admirabilium, <lb/>quæ &longs;unt in Mechanicis, cau&longs;a continetur. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000243"><emph type="italics"/>Quid e&longs;t Mechanice, & de circulo in quo admirabilium, <lb/>quæ &longs;unt in Mechanicis, cau&longs;a continetur. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000244"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000244"><foreign lang="el">*q*a*u*m*a*z*e*t*a*i tw=n me\n kata\ fu/sin sumbaino/ntwn, o(/swn <lb/>a)gnoei=tai to\ ai)/tion, tw=n de\ para\ fu/sin, o(/sa gi/netai dia\ <lb/>te/xnhn pro\s to\ sumfe/ron toi=s a)nqrw/pois.</foreign></s></p><p type="main"> |
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| <s id="id.000245">MIRA &longs;unt in his, quæ <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan> <expan abbr="eue-niũt">eue­<lb/>niunt</expan>, ea: <expan abbr="quorũ">quorum</expan> cau&longs;a igno­<lb/>ratur, & in his quæ præter <lb/>naturam, ea, <expan abbr="qu&ecedil;cunq;">qu&ecedil;cunque</expan> arte <lb/>facta hominibus <expan abbr="cõferunt">conferunt</expan>. </s></p><p type="head"> | <s id="id.000245">MIRA &longs;unt in his, quæ <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan> <expan abbr="eue­niũt">eue­<lb/>niunt</expan>, ea: <expan abbr="quorũ">quorum</expan> cau&longs;a igno­<lb/>ratur, & in his quæ præter <lb/>naturam, ea, <expan abbr="qu&ecedil;cunq;">qu&ecedil;cunque</expan> arte <lb/>facta hominibus <expan abbr="cõferunt">conferunt</expan>. </s></p><p type="head"> |
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| <s id="id.000246">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000246">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000250">Quid ita? </s> | <s id="id.000250">Quid ita? </s> |
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| <s id="id.000251">Ip&longs;emet Patricius fate­<lb/>tur hunc<emph.end type="italics"/> <foreign lang="greek">tw=n mhxanikw=n</foreign> <emph type="italics"/>librum doctum e&longs;&longs;e, & elegantem: addo <lb/>& &longs;ubtilem, & ab Ari&longs;totelis <expan abbr="verũ">verum</expan> in vnaquaque re, &longs;implex. </s> | <s id="id.000251">Ip&longs;emet Patricius fate­<lb/>tur hunc<emph.end type="italics"/> <foreign lang="el">tw=n mhxanikw=n</foreign> <emph type="italics"/>librum doctum e&longs;&longs;e, & elegantem: addo <lb/>& &longs;ubtilem, & ab Ari&longs;totelis <expan abbr="verũ">verum</expan> in vnaquaque re, &longs;implex. </s> |
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| <s id="id.000252">&longs;yn­<lb/>cerumque exquirentis ingenio minime abhorrentem, vt ip&longs;um, & <lb/>no&longs;tros in ip&longs;um commentarios cuique legenti manife&longs;tum euadet. <lb/></s> | <s id="id.000252">&longs;yn­<lb/>cerumque exquirentis ingenio minime abhorrentem, vt ip&longs;um, & <lb/>no&longs;tros in ip&longs;um commentarios cuique legenti manife&longs;tum euadet. <lb/></s> |
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| <s id="id.000253">Phra&longs;is non repugnat, &longs;i cum ea <expan abbr="cõferatur">conferatur</expan>, quæ fuit familiaris Ari­<lb/>&longs;toteli in mathematicis, vt cum de Iride, aut de lineis in&longs;ecabilibus <lb/>di&longs;putat. </s> | <s id="id.000253">Phra&longs;is non repugnat, &longs;i cum ea <expan abbr="cõferatur">conferatur</expan>, quæ fuit familiaris Ari­<lb/>&longs;toteli in mathematicis, vt cum de Iride, aut de lineis in&longs;ecabilibus <lb/>di&longs;putat. </s> |
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| <s id="id.000254">Diogenes Laërtius inter Ari&longs;totelis monumenta<emph.end type="italics"/> <foreign lang="greek">mhxani­<lb/>kw=n</foreign> <emph type="italics"/>vnum recen&longs;uit. </s> | <s id="id.000254">Diogenes Laërtius inter Ari&longs;totelis monumenta<emph.end type="italics"/> <foreign lang="el">mhxani­<lb/>kw=n</foreign> <emph type="italics"/>vnum recen&longs;uit. </s> |
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| <s id="id.000255">Multi clari viri no&longs;tri temporis vt Daniel <lb/>Barbarus & Guidus Vbaldus &longs;æpe velut ab Ari&longs;totele citant. </s> | <s id="id.000255">Multi clari viri no&longs;tri temporis vt Daniel <lb/>Barbarus & Guidus Vbaldus &longs;æpe velut ab Ari&longs;totele citant. </s> |
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| <s id="id.000263">prior generalis e&longs;t <lb/>in explicatione cau&longs;arum & principiorum, quibus machinæ in mo­<lb/>uendo magnas, & admirabiles vires habent: po&longs;terior &longs;pecialis e&longs;t <lb/>in explicatione 25. quæstionum de quarundam machinarum viribus <lb/>& effectis. </s> | <s id="id.000263">prior generalis e&longs;t <lb/>in explicatione cau&longs;arum & principiorum, quibus machinæ in mo­<lb/>uendo magnas, & admirabiles vires habent: po&longs;terior &longs;pecialis e&longs;t <lb/>in explicatione 25. quæstionum de quarundam machinarum viribus <lb/>& effectis. </s> |
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| <s id="id.000264">Hæc autem<emph.end type="italics"/> <foreign lang="greek">tw=n mhxanikw=n</foreign> <emph type="italics"/>titulo recte exprimuntur. <lb/></s> | <s id="id.000264">Hæc autem <emph.end type="italics"/><foreign lang="el">tw=n mhxanikw=n</foreign> <emph type="italics"/>titulo recte exprimuntur. <lb/></s> |
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| <s id="id.000265">quia Mechanica dicta &longs;unt<emph.end type="italics"/> <foreign lang="greek">a)po\ th=s mhxanh=s. </foreign>& <foreign lang="greek">*mhxanh\ a)po\ tou= <lb/>mh/kous kai\ a)/nein,</foreign> <emph type="italics"/>id e&longs;t longè vel multùm a&longs;cendere, pertingere, pene­<lb/>trare, vt e&longs;t apud Platonem in Cratylo, vnde non quælibet artifi­<lb/>cia protrita & vulgaria Mechanica dicenda &longs;unt, &longs;ed ea tantum <lb/>quæ vtiliter & iucundè &longs;uccurrunt, & adminiculantur difficul­<lb/>tatibus quæ in actionibus humanis &longs;e&longs;e <expan abbr="obtrudũt">obtrudunt</expan>, ip&longs;a&longs;que <expan abbr="impediũt">impediunt</expan>. <emph.end type="italics"/><lb/></s> | <s id="id.000265">quia Mechanica dicta &longs;unt<emph.end type="italics"/> <foreign lang="el">a)po\ th=s mhxanh=s. </foreign>& <foreign lang="el">*mhxanh\ a)po\ tou= <lb/>mh/kous kai\ a)/nein,</foreign> <emph type="italics"/>id e&longs;t longè vel multùm a&longs;cendere, pertingere, pene­<lb/>trare, vt e&longs;t apud Platonem in Cratylo, vnde non quælibet artifi­<lb/>cia protrita & vulgaria Mechanica dicenda &longs;unt, &longs;ed ea tantum <lb/>quæ vtiliter & iucundè &longs;uccurrunt, & adminiculantur difficul­<lb/>tatibus quæ in actionibus humanis &longs;e&longs;e <expan abbr="obtrudũt">obtrudunt</expan>, ip&longs;a&longs;que <expan abbr="impediũt">impediunt</expan>. <emph.end type="italics"/><lb/></s> |
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| <s><foreign lang="greek">*mhxanh\</foreign> <emph type="italics"/>autem id e&longs;t machina definitur à Vitruuio, continens ex <lb/>materia coniunctio, quæ maximas habet, ad onerum motus virtu­<lb/>tes: & à Plinio in&longs;trumentum, quo moles aliqua facile, quocumque <lb/>volueris impelli pote&longs;t. </s> | <s><foreign lang="el">*mhxanh\</foreign> <emph type="italics"/>autem id e&longs;t machina definitur à Vitruuio, continens ex <lb/>materia coniunctio, quæ maximas habet, ad onerum motus virtu­<lb/>tes: & à Plinio in&longs;trumentum, quo moles aliqua facile, quocumque <lb/>volueris impelli pote&longs;t. </s> |
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| <s id="id.000267">Igitur tum hæc in&longs;trumenta & machinæ: <lb/>tum doctrina, quæ virium, quibus hæc pollent, rationem docet, & <lb/>explicat, rectè Mechanica in&longs;cribuntur. </s> | <s id="id.000267">Igitur tum hæc in&longs;trumenta & machinæ: <lb/>tum doctrina, quæ virium, quibus hæc pollent, rationem docet, & <lb/>explicat, rectè Mechanica in&longs;cribuntur. </s> |
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| <s id="id.000270">Manauit enim à<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.042.jpg" pagenum="3"/><emph type="italics"/>quibu&longs;dam philo&longs;ophis, ii&longs;que otio&longs;is, qui vt maiorem dignitatem <lb/>&longs;ibi fingerent, eas artes nobilitatis titulo ornauere, quæ in &longs;ola con­<lb/>templatione ver&longs;arentur, & contemplantis duntaxat ingenium <lb/>acuerent, atque perficerent: viles autem eas putauere, quæ ocium fu­<lb/>gientes, in negotio atque efficientia occuparentur. </s> | <s id="id.000270">Manauit enim à<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.042.jpg" pagenum="3"/><emph type="italics"/>quibu&longs;dam philo&longs;ophis, ii&longs;que otio&longs;is, qui vt maiorem dignitatem <lb/>&longs;ibi fingerent, eas artes nobilitatis titulo ornauere, quæ in &longs;ola con­<lb/>templatione ver&longs;arentur, & contemplantis duntaxat ingenium <lb/>acuerent, atque perficerent: viles autem eas putauere, quæ ocium fu­<lb/>gientes, in negotio atque efficientia occuparentur. </s> |
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| <s id="id.000271">At ij melius <lb/>meo iudicio feci&longs;&longs;ent, &longs;i eas, quæ ita corporis adminiculo exercen­<lb/>tur, vt animi &longs;tudium non multum requirant, cum Græcis appel­<lb/>la&longs;&longs;ent, non<emph.end type="italics"/> <foreign lang="greek">mhxanika\s,</foreign> <emph type="italics"/>(neque enim hîc id vocabuli v&longs;urpant) <lb/>&longs;ed<emph.end type="italics"/> <foreign lang="greek">fau/las, a)neleuqe/rous banau/sous a)gorai/ous</foreign> <emph type="italics"/>viles, illiberales, <lb/>&longs;ordidas, circunforaneas. </s> | <s id="id.000271">At ij melius <lb/>meo iudicio feci&longs;&longs;ent, &longs;i eas, quæ ita corporis adminiculo exercen­<lb/>tur, vt animi &longs;tudium non multum requirant, cum Græcis appel­<lb/>la&longs;&longs;ent, non<emph.end type="italics"/> <foreign lang="el">mhxanika\s,</foreign> <emph type="italics"/>(neque enim hîc id vocabuli v&longs;urpant) <lb/>&longs;ed<emph.end type="italics"/> <foreign lang="el">fau/las, a)neleuqe/rous banau/sous a)gorai/ous</foreign> <emph type="italics"/>viles, illiberales, <lb/>&longs;ordidas, circunforaneas. </s> |
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| <s id="id.000272">Melius e&longs;t ergo rem i&longs;tam paulo altius re­<emph.end type="italics"/><lb/><arrow.to.target n="marg4"/><lb/><emph type="italics"/>petitam aliquantum vltra per &longs;uas &longs;pecies deducere. </s> | <s id="id.000272">Melius e&longs;t ergo rem i&longs;tam paulo altius re­<emph.end type="italics"/><lb/><arrow.to.target n="marg4"/><lb/><emph type="italics"/>petitam aliquantum vltra per &longs;uas &longs;pecies deducere. </s> |
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| <s id="id.000288">harum tamen <lb/>aliquot, cum certæ rationes e&longs;&longs;ent &longs;ubtiles, & à fontibus Geometriæ <lb/>petitæ, ip&longs;as hoc libello verè aureo, & intelligentibus periucundo <lb/>Ari&longs;toteles partim generaliter, & ex &longs;uis principiis, partim per ali­<lb/>quot <expan abbr="ex&etilde;pla">exempla</expan>, à rebus multis varií&longs;que petita explicuit. </s> | <s id="id.000288">harum tamen <lb/>aliquot, cum certæ rationes e&longs;&longs;ent &longs;ubtiles, & à fontibus Geometriæ <lb/>petitæ, ip&longs;as hoc libello verè aureo, & intelligentibus periucundo <lb/>Ari&longs;toteles partim generaliter, & ex &longs;uis principiis, partim per ali­<lb/>quot <expan abbr="ex&etilde;pla">exempla</expan>, à rebus multis varií&longs;que petita explicuit. </s> |
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| <s id="id.000289">Ob quod liber <lb/>rectè in&longs;cribitur<emph.end type="italics"/> <foreign lang="greek">mhxa/nika,</foreign> <emph type="italics"/>quia hic explicet cau&longs;as virium in­<lb/>&longs;trumentorum ad Mechanicas artes prædictas pertinentium. </s> | <s id="id.000289">Ob quod liber <lb/>rectè in&longs;cribitur<emph.end type="italics"/> <foreign lang="el">mhxa/nika,</foreign> <emph type="italics"/>quia hic explicet cau&longs;as virium in­<lb/>&longs;trumentorum ad Mechanicas artes prædictas pertinentium. </s> |
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| <s id="id.000290">cur <lb/>&longs;cilicet ea, quam habent, prædita figura v&longs;ui, & effectui commodio­<lb/>ra exi&longs;tant. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000290">cur <lb/>&longs;cilicet ea, quam habent, prædita figura v&longs;ui, & effectui commodio­<lb/>ra exi&longs;tant. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000310">Admirare modò, nec non venerare. </s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.045.jpg" pagenum="6"/><p type="main"> | <s id="id.000310">Admirare modò, nec non venerare. </s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.045.jpg" pagenum="6"/><p type="main"> |
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| <s id="id.000311"><emph type="italics"/>abiecti certè ac be&longs;tias imitantis hominis e&longs;t, quæ ne&longs;ciat, non admi­<lb/>rari, & &longs;i curis, negotií&longs;que nece&longs;&longs;arijs vacuus e&longs;t, non inquirere, <lb/>& venerari. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000311"><emph type="italics"/>abiecti certè ac be&longs;tias imitantis hominis e&longs;t, quæ ne&longs;ciat, non admi­<lb/>rari, & &longs;i curis, negotií&longs;que nece&longs;&longs;arijs vacuus e&longs;t, non inquirere, <lb/>& venerari. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000312"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000312"><foreign lang="el">e)n polloi=s ga\r <lb/>h( fu/sis u(penanti/on pro\s to\ xrh/simon h(mi=n poiei=. </foreign></s> |
| | <s id="g0110103"><foreign lang="el">h( me\n <lb/>ga\r fu/sis a)ei\ to\n au)to\n e)/xei tro/pon kai\ a(plw=s, to\ de\ <lb/>xrh/simon metaba/llei pollaxw=s.</foreign></s> |
| | <s id="g0110201"><foreign lang="el">o(/tan ou)=n de/h| ti para\ <lb/>fu/sin pra=cai, dia\ to\ xalepo\n a)pori/an pare/xei kai\ dei=tai <lb/>te/xnhs.</foreign></s></p><p type="main"> |
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| <s id="id.000313">In multis enim natura ab <lb/>vtilitate no&longs;tra di&longs;cedit. </s> | <s id="id.000313">In multis enim natura ab <lb/>vtilitate no&longs;tra di&longs;cedit. </s> |
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| <s id="id.000314"><expan abbr="Si-quid&etilde;">Si­<lb/>quidem</expan> natura <expan abbr="eod&etilde;">eodem</expan> modo <lb/><expan abbr="s&etilde;per">semper</expan> operatur & &longs;implici­<lb/>ter: at <expan abbr="aliũ">alium</expan> <expan abbr="atq;">atque</expan> alium ple­<lb/>rumque po&longs;tulat vtilitas. <lb/></s> | <s id="id.000314"><expan abbr="Si­quid&etilde;">Si­<lb/>quidem</expan> natura <expan abbr="eod&etilde;">eodem</expan> modo <lb/><expan abbr="s&etilde;per">semper</expan> operatur & &longs;implici­<lb/>ter: at <expan abbr="aliũ">alium</expan> <expan abbr="atq;">atque</expan> alium ple­<lb/>rumque po&longs;tulat vtilitas. <lb/></s> |
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| <s id="id.000315"><expan abbr="Quãdo">Quando</expan> igitur conuenit fa­<lb/>cere aliquid pr&ecedil;ter <expan abbr="naturã">naturam</expan>, <lb/><expan abbr="tũ">tum</expan> difficultas hæ&longs;itationem <lb/>adfert, & arte opus e&longs;t. </s></p><p type="head"> | <s id="id.000315"><expan abbr="Quãdo">Quando</expan> igitur conuenit fa­<lb/>cere aliquid pr&ecedil;ter <expan abbr="naturã">naturam</expan>, <lb/><expan abbr="tũ">tum</expan> difficultas hæ&longs;itationem <lb/>adfert, & arte opus e&longs;t. </s></p><p type="head"> |
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| <s id="id.000338">Tum difficultas.] <emph type="italics"/>Naturæ renixus difficultatem facit. </s> | <s id="id.000338">Tum difficultas.] <emph type="italics"/>Naturæ renixus difficultatem facit. </s> |
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| <s id="id.000339">Re­<lb/>nititur autem Natura &longs;ub&longs;tantia, numero, magnitudine, pondere, <lb/>figura, quæ omnia ars <expan abbr="immutãdo">immutando</expan>, addendo, detrahendo, <expan abbr="trã&longs;ponendo">tran&longs;ponendo</expan>, <lb/>poliendo, figurando corrigit, & ad v&longs;us humanos accommodat. <emph.end type="italics"/></s></p></chap><chap> | <s id="id.000339">Re­<lb/>nititur autem Natura &longs;ub&longs;tantia, numero, magnitudine, pondere, <lb/>figura, quæ omnia ars <expan abbr="immutãdo">immutando</expan>, addendo, detrahendo, <expan abbr="trã&longs;ponendo">tran&longs;ponendo</expan>, <lb/>poliendo, figurando corrigit, & ad v&longs;us humanos accommodat. <emph.end type="italics"/></s></p></subchap1><subchap1> |
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| <p type="main"><s id="id.000340"><foreign lang="greek"><gap/></foreign><lb/><arrow.to.target n="marg8"/></s></p><p type="margin"> | <p type="main"><s id="id.000340"><foreign lang="el">dio\ kai\ kalou=men th=s te/xnhs, to\ pro\s ta\s toiau/tas <lb/>a)pori/as bohqou=n me/ros, mhxanh/n, <arrow.to.target n="marg8"/>kaqa/per ga\r e)poi/hsen <lb/>*)antifw=n o( poihth/s, ou(/tw kai\ e)/xei: te/xnh| ga\r kratou=men, <lb/>w(=n fu/sei nikw/meqa.</foreign></s> |
| | <s id="g0110203"><foreign lang="el">toiau=ta de/ e)stin e)n oi(=s ta/ te e)la/ttona <lb/>kratei= tw=n meizo/nwn, kai\ ta\ r(oph\n e)/xonta mikra\n kinei= <lb/>ba/rh mega/la, kai\ pa/nta sxedo\n o(/sa tw=n problhma/twn <lb/>mhxanika\ prosagoreu/omen.</foreign></s><lb/></p><p type="margin"> |
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| <s id="id.000341"><margin.target id="marg8"/><foreign lang="greek">mhxanikh\n. </foreign></s></p><p type="main"> | <s id="id.000341"><margin.target id="marg8"/><foreign lang="el">mhxanikh\n. </foreign></s></p><p type="main"> |
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| <s id="id.000342">Atque propterea partem <lb/>illius artis quæ hæ&longs;itationi <lb/>i&longs;ti &longs;uccurrit Mechanicem <lb/>vocamus. </s> | <s id="id.000342">Atque propterea partem <lb/>illius artis quæ hæ&longs;itationi <lb/>i&longs;ti &longs;uccurrit Mechanicem <lb/>vocamus. </s> |
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| <s id="id.000357"><margin.target id="marg9"/>Cap. 3. lib. <lb/>de cuiu&longs;que <lb/>animi pecc. <lb/>cogno&longs;c. </s></p><p type="main"> | <s id="id.000357"><margin.target id="marg9"/>Cap. 3. lib. <lb/>de cuiu&longs;que <lb/>animi pecc. <lb/>cogno&longs;c. </s></p><p type="main"> |
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| <s id="id.000359">Mechanice.] <emph type="italics"/>In Græco Vecheli legitur hîc<emph.end type="italics"/> <foreign lang="greek">mhxanh\n</foreign>: <emph type="italics"/>vt etiam <lb/>in titulo huius capitis: &longs;ed vtrobique legendum<emph.end type="italics"/> <foreign lang="greek">mhxanikh\n. </foreign><emph type="italics"/>quia ha­<lb/>ctenus in hoc proëmio non machina vna: &longs;ed ars machinarum lau­<lb/>data e&longs;t. </s> | <s id="id.000359">Mechanice.] <emph type="italics"/>In Græco Vecheli legitur hîc <emph.end type="italics"/><foreign lang="el">mhxanh\n</foreign>: <emph type="italics"/>vt etiam <lb/>in titulo huius capitis: &longs;ed vtrobique legendum <emph.end type="italics"/><foreign lang="el">mhxanikh\n. </foreign><emph type="italics"/>quia ha­<lb/>ctenus in hoc proëmio non machina vna: &longs;ed ars machinarum lau­<lb/>data e&longs;t. </s> |
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| <s id="id.000360">Nec tamen definita, vt titulus pollicebatur. </s> | <s id="id.000360">Nec tamen definita, vt titulus pollicebatur. </s> |
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| <s id="id.000367">Cæterùm ex huius machinis, quædam <lb/>mouentur per &longs;e:quædam non &longs;ponte. </s> | <s id="id.000367">Cæterùm ex huius machinis, quædam <lb/>mouentur per &longs;e:quædam non &longs;ponte. </s> |
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| <s id="id.000368">Illæ intra &longs;e principia &longs;uæ mo­<lb/>tionis habent, &<emph.end type="italics"/> <foreign lang="greek">a)uto/mata</foreign> <emph type="italics"/>vocantur: quorum alia Græcis<emph.end type="italics"/> <foreign lang="greek">stata\,</foreign><lb/><emph type="italics"/>Latinis Stataria, fixa, firma dicuntur: alia<emph.end type="italics"/> <foreign lang="greek">u(pa/gonta</foreign> <emph type="italics"/>ambulantia. <lb/></s> | <s id="id.000368">Illæ intra &longs;e principia &longs;uæ mo­<lb/>tionis habent, & <emph.end type="italics"/><foreign lang="el">a)uto/mata</foreign> <emph type="italics"/>vocantur: quorum alia Græcis <emph.end type="italics"/><foreign lang="el">stata\, </foreign><lb/><emph type="italics"/>Latinis Stataria, fixa, firma dicuntur: alia <emph.end type="italics"/><foreign lang="el">u(pa/gonta</foreign> <emph type="italics"/>ambulantia. <lb/></s> |
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| <s id="id.000369">De vtri&longs;que Hero pertractauit, inter quæ pulchrum e&longs;t illud, quod <lb/>docuit con&longs;truere, &longs;cilicet ædem rotundam, in qua Bacchus pateram <lb/>altera manu tenet, altera thyr&longs;um, propè verò ade&longs;t panthera, & <lb/>ara: circum autem Bacchides tympana tenentes, &longs;uprà tholum alata <lb/>& coronata Victoria collocatur, atque vno & <expan abbr="eod&etilde;">eodem</expan> tempore in ara <lb/>ignis &longs;uccenditur, Bacchus lac è patera, vinum è thyr&longs;o ver&longs;at in <lb/>pantheram, Bacchides circum&longs;alientes tympana pul&longs;ant, Victoria <lb/>&longs;e circumagens, & alas qaatiens tuba &longs;onat. </s> | <s id="id.000369">De vtri&longs;que Hero pertractauit, inter quæ pulchrum e&longs;t illud, quod <lb/>docuit con&longs;truere, &longs;cilicet ædem rotundam, in qua Bacchus pateram <lb/>altera manu tenet, altera thyr&longs;um, propè verò ade&longs;t panthera, & <lb/>ara: circum autem Bacchides tympana tenentes, &longs;uprà tholum alata <lb/>& coronata Victoria collocatur, atque vno & <expan abbr="eod&etilde;">eodem</expan> tempore in ara <lb/>ignis &longs;uccenditur, Bacchus lac è patera, vinum è thyr&longs;o ver&longs;at in <lb/>pantheram, Bacchides circum&longs;alientes tympana pul&longs;ant, Victoria <lb/>&longs;e circumagens, & alas qaatiens tuba &longs;onat. </s> |
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| <s id="id.000372">Res inani­<lb/>mæ principium motionis exhibentes &longs;unt aër, &longs;piritus, aqua, ignis, <lb/>&longs;umus. </s> | <s id="id.000372">Res inani­<lb/>mæ principium motionis exhibentes &longs;unt aër, &longs;piritus, aqua, ignis, <lb/>&longs;umus. </s> |
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| <s id="id.000373">Aer & &longs;piritus e&longs;t vel inclu&longs;us, ex quò pneumatica ratio ab­<lb/>&longs;oluitur, de qua etiam Hero in&longs;trumenta Mu&longs;ica, quæ per<emph.end type="italics"/> <foreign lang="greek">a)ntonoma­<lb/>si/an</foreign> <emph type="italics"/>organa vocant: vel liber, vnde ædificia ad molendum. </s> | <s id="id.000373">Aer & &longs;piritus e&longs;t vel inclu&longs;us, ex quò pneumatica ratio ab­<lb/>&longs;oluitur, de qua etiam Hero in&longs;trumenta Mu&longs;ica, quæ per <emph.end type="italics"/><foreign lang="el">a)ntonoma­<lb/>si/an</foreign><emph type="italics"/> organa vocant: vel liber, vnde ædificia ad molendum. </s> |
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| <s id="id.000374">A qua, <lb/>vnde fiunt rotæ etiam ad <expan abbr="molendũ">molendum</expan>, <expan abbr="tũ">tum</expan> tympana, tum &longs;erræ ad trabes <lb/>&longs;ecandas, folles ad <expan abbr="ferrũ">ferrum</expan> tundendum & alia <expan abbr="plera&qacute;">pleraque</expan>;. </s> | <s id="id.000374">A qua, <lb/>vnde fiunt rotæ etiam ad <expan abbr="molendũ">molendum</expan>, <expan abbr="tũ">tum</expan> tympana, tum &longs;erræ ad trabes <lb/>&longs;ecandas, folles ad <expan abbr="ferrũ">ferrum</expan> tundendum & alia <expan abbr="plera&qacute;">pleraque</expan>;. </s> |
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| <s id="id.000378">Sed neque hic <lb/>prætermittenda diui&longs;io Methanices, quæ aliter à Politiano ex He­<emph.end type="italics"/><lb/><arrow.to.target n="marg11"/><lb/><emph type="italics"/>rone inducta e&longs;t. </s> | <s id="id.000378">Sed neque hic <lb/>prætermittenda diui&longs;io Methanices, quæ aliter à Politiano ex He­<emph.end type="italics"/><lb/><arrow.to.target n="marg11"/><lb/><emph type="italics"/>rone inducta e&longs;t. </s> |
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| <s id="id.000379">Mechanices, inquit, altera pars rationalis e&longs;t, quæ <lb/>numerorum, men&longs;urarum, &longs;yderum, naturæ que rationibus perfici­<lb/>tur: altera<emph.end type="italics"/> <foreign lang="greek">xeirourgikh\,</foreign> <emph type="italics"/>cui vel maximè artes illæ, æraria, ædifica­<lb/>toria, materiaria, picturaque, adminiculantur. </s> | <s id="id.000379">Mechanices, inquit, altera pars rationalis e&longs;t, quæ <lb/>numerorum, men&longs;urarum, &longs;yderum, naturæ que rationibus perfici­<lb/>tur: altera<emph.end type="italics"/> <foreign lang="el">xeirourgikh\,</foreign> <emph type="italics"/>cui vel maximè artes illæ, æraria, ædifica­<lb/>toria, materiaria, picturaque, adminiculantur. </s> |
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| <s id="id.000380">Huius autem partes, <lb/>Manganaria per quam pondera immania minima vi tolluntur in <lb/>altum:<emph.end type="italics"/> <foreign lang="greek">mhxanopoihtikh\,</foreign> <emph type="italics"/>quæ facile aquas antlijs extrahit:<emph.end type="italics"/> <foreign lang="greek">*or­<lb/>ganopoihtikh\,</foreign> <emph type="italics"/>quæ bellis accommoda in&longs;trumenta fabricatur, arie­<lb/>tes, te&longs;tudines, turres ambulatorias, helepoleis, &longs;ambucas, exo&longs;tras, <lb/>tollenones & quæcunque Græco vocabulo<emph.end type="italics"/> <foreign lang="greek">poliorkhtika\</foreign> <emph type="italics"/>vocan­<lb/>tur, tormentorumque varia genera, quæ libris Athenæi, Bitonis, <lb/>Heronis, Pappi, Philonis, Apollodorique continentur, vt Latinos <lb/>omi&longs;erim. </s> | <s id="id.000380">Huius autem partes, <lb/>Manganaria per quam pondera immania minima vi tolluntur in <lb/>altum:<emph.end type="italics"/> <foreign lang="el">mhxanopoihtikh\,</foreign> <emph type="italics"/>quæ facile aquas antlijs extrahit:<emph.end type="italics"/> <foreign lang="el">*or­<lb/>ganopoihtikh\,</foreign> <emph type="italics"/>quæ bellis accommoda in&longs;trumenta fabricatur, arie­<lb/>tes, te&longs;tudines, turres ambulatorias, helepoleis, &longs;ambucas, exo&longs;tras, <lb/>tollenones & quæcunque Græco vocabulo<emph.end type="italics"/> <foreign lang="el">poliorkhtika\</foreign> <emph type="italics"/>vocan­<lb/>tur, tormentorumque varia genera, quæ libris Athenæi, Bitonis, <lb/>Heronis, Pappi, Philonis, Apollodorique continentur, vt Latinos <lb/>omi&longs;erim. </s> |
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| <s id="id.000381">Mox & quæ<emph.end type="italics"/> <foreign lang="greek">qaumatourgikh\</foreign> <emph type="italics"/>cuius exempla &longs;unt<emph.end type="italics"/> <foreign lang="greek">u)drau­<lb/>lika\</foreign> <emph type="italics"/>organa, quæque per &longs;e ventorum flatu re&longs;onant. </s> | <s id="id.000381">Mox & quæ<emph.end type="italics"/> <foreign lang="el">qaumatourgikh\</foreign> <emph type="italics"/>cuius exempla &longs;unt<emph.end type="italics"/> <foreign lang="el">u)drau­<lb/>lika\</foreign> <emph type="italics"/>organa, quæque per &longs;e ventorum flatu re&longs;onant. </s> |
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| <s id="id.000382">Et quod vas <lb/>dicæometron vocabant, & quod voces variarum auium exprimit, <lb/>& quod indidem merum, mox dilutum vinum, mox aquam cali­<lb/>dam, mox <expan abbr="frigidã">frigidam</expan>, copio&longs;am <expan abbr="tenuémq;">tenuémque</expan> vicißim funditat. </s> | <s id="id.000382">Et quod vas <lb/>dicæometron vocabant, & quod voces variarum auium exprimit, <lb/>& quod indidem merum, mox dilutum vinum, mox aquam cali­<lb/>dam, mox <expan abbr="frigidã">frigidam</expan>, copio&longs;am <expan abbr="tenuémq;">tenuémque</expan> vicißim funditat. </s> |
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| <s id="id.000383">Et<emph.end type="italics"/> <foreign lang="greek">si/fwnes</foreign><lb/><emph type="italics"/>extinguendis incendijs apti, & medicinabiles cacurbitulæ &longs;ine <lb/>ignis ministerio cutem prehendentes, & pilæ &longs;ponte &longs;altantes, & <lb/>lucerna &longs;uas ip&longs;a producens &longs;tuppas: & animal quod à &longs;tructore dum <lb/>&longs;ecatur in men&longs;a, bibit interim, crepitùque &longs;uo quodam, & voce &longs;i­<lb/>tientis repræ&longs;entat imaginem: milleque alia id genus, quæ breuita­<lb/>tis &longs;tudio præterimus. </s> | <s id="id.000383">Et<emph.end type="italics"/> <foreign lang="el">si/fwnes</foreign><lb/><emph type="italics"/>extinguendis incendijs apti, & medicinabiles cacurbitulæ &longs;ine <lb/>ignis ministerio cutem prehendentes, & pilæ &longs;ponte &longs;altantes, & <lb/>lucerna &longs;uas ip&longs;a producens &longs;tuppas: & animal quod à &longs;tructore dum <lb/>&longs;ecatur in men&longs;a, bibit interim, crepitùque &longs;uo quodam, & voce &longs;i­<lb/>tientis repræ&longs;entat imaginem: milleque alia id genus, quæ breuita­<lb/>tis &longs;tudio præterimus. </s> |
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| <s id="id.000384">Hæc igitur (vt in capita quædam conferatur) <lb/>aut ponderibus vtitur & &longs;piritu, quorum præponderatio mouet, <lb/>æquilibrium &longs;i&longs;tit, (&longs;icuti etiam Timæus definit): aut neruis & <lb/>funiculis animatos qua&longs;i tractus, ac motus imitatur, ac circa illa <lb/>quæ &longs;ubnatant aquis, aut circa aquarum vertitur horologia, quo­<lb/>rum quidem generum primum docet in pneumaticis Heron, alte­<lb/>rum idem in automatis & Zygijs, quartum rur&longs;us in Hydrijs, ter­<lb/>tium verò in Ochoumenis Archimedes. </s> | <s id="id.000384">Hæc igitur (vt in capita quædam conferatur) <lb/>aut ponderibus vtitur & &longs;piritu, quorum præponderatio mouet, <lb/>æquilibrium &longs;i&longs;tit, (&longs;icuti etiam Timæus definit): aut neruis & <lb/>funiculis animatos qua&longs;i tractus, ac motus imitatur, ac circa illa <lb/>quæ &longs;ubnatant aquis, aut circa aquarum vertitur horologia, quo­<lb/>rum quidem generum primum docet in pneumaticis Heron, alte­<lb/>rum idem in automatis & Zygijs, quartum rur&longs;us in Hydrijs, ter­<lb/>tium verò in Ochoumenis Archimedes. </s> |
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| <s id="id.000393">A quo etiam forta&longs;&longs;e proma­<lb/>nauit Senariolus, qui hic citatur ab Ari&longs;totele, ad probandum <lb/>homines arte vincere ea, à quibus natura vincuntur. </s> | <s id="id.000393">A quo etiam forta&longs;&longs;e proma­<lb/>nauit Senariolus, qui hic citatur ab Ari&longs;totele, ad probandum <lb/>homines arte vincere ea, à quibus natura vincuntur. </s> |
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| <s id="id.000394">quod cum fa­<lb/>ciunt in ijs, in quibus iudicio omnium longe à natura &longs;uperantur<emph.end type="italics"/><lb/><foreign lang="greek">paradoxo/poioi,</foreign> <emph type="italics"/>cum Galeno vocari poterunt. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000394">quod cum fa­<lb/>ciunt in ijs, in quibus iudicio omnium longe à natura &longs;uperantur<emph.end type="italics"/><lb/><foreign lang="el">paradoxo/poioi,</foreign> <emph type="italics"/>cum Galeno vocari poterunt. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000395">Vt in his, quæ cum] <emph type="italics"/>Vt cum magnas marmorum moles, tra­<lb/>bes, columnas, colo&longs;&longs;os transferimus, & erigimus, naues &longs;ubduci­<lb/>mus in mare, quod fecit Archimedes conspiciente Hierone rege <lb/>Syracu&longs;arum, Helepoles amplas &longs;upra muros attrahimus, quod <lb/>fecit Callias Rhodien&longs;ibus conspicientibus, Equum Troianum in <lb/>vrbem adducimus (erat enim aliud nihil <expan abbr="quã">quam</expan> machina, vt ait poëta,<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000395">Vt in his, quæ cum] <emph type="italics"/>Vt cum magnas marmorum moles, tra­<lb/>bes, columnas, colo&longs;&longs;os transferimus, & erigimus, naues &longs;ubduci­<lb/>mus in mare, quod fecit Archimedes conspiciente Hierone rege <lb/>Syracu&longs;arum, Helepoles amplas &longs;upra muros attrahimus, quod <lb/>fecit Callias Rhodien&longs;ibus conspicientibus, Equum Troianum in <lb/>vrbem adducimus (erat enim aliud nihil <expan abbr="quã">quam</expan> machina, vt ait poëta,<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000396">In&longs;pectura domos venturáque de&longs;uper vrbi. </s></p><p type="main"> | <s id="id.000396">In&longs;pectura domos venturáque de&longs;uper vrbi. </s></p><p type="main"> |
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| <s id="id.000397"><emph type="italics"/>quales multæ apud Vegetium & Heronem mechanicum.) bom­<lb/>bardas ingentes ad locum destinatum conuertimus. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000397"><emph type="italics"/>quales multæ apud Vegetium & Heronem mechanicum.) bom­<lb/>bardas ingentes ad locum destinatum conuertimus. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000398"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000398"><foreign lang="el">e)/sti de\ tau=ta toi=s fusikoi=s <lb/>problh/masin, ou)/te tau)ta\ pa/mpan, ou)/te kexwrisme/na li/an, <lb/>a)lla\ koina\ tw=n te maqhmatikw=n qewrhma/twn, kai\ tw=n <lb/>fusikw=n: to\ me\n ga\r w(\s dia\ tw=n maqhmatikw=n dh=lon, to\ <lb/>de\ peri\ o(\, dia\ tw=n fusikw=n.</foreign></s></p><p type="main"> |
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| <s id="id.000399">Sunt vero hæc proble­<lb/>matis Phy&longs;icis, nec omni­<lb/>no <expan abbr="ead&etilde;">eadem</expan>, nec valdè di&longs;&longs;imi­<lb/>lia: &longs;ed con&longs;entanea theo­<lb/>tematis, tum mathemati­<lb/>cis, tum Phy&longs;icis. </s> | <s id="id.000399">Sunt vero hæc proble­<lb/>matis Phy&longs;icis, nec omni­<lb/>no <expan abbr="ead&etilde;">eadem</expan>, nec valdè di&longs;&longs;imi­<lb/>lia: &longs;ed con&longs;entanea theo­<lb/>tematis, tum mathemati­<lb/>cis, tum Phy&longs;icis. </s> |
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| <s id="id.000404">Machina­<lb/>rum enim materia lignum e&longs;t vel ferrum & eiu&longs;modi corpora Phy­<lb/>&longs;ica: attributum verò è figuris & terminis Mathematicis cuiu&longs;mo­<lb/>di &longs;unt in Geometria lineæ, diametri, centra, circuli, & eiu&longs;modi, <lb/>è quibus machinæ con&longs;tare & figuratæ e&longs;&longs;e, & vires &longs;uas accipere, <lb/>augere, diminuere, metiri o&longs;tenduntur. </s> | <s id="id.000404">Machina­<lb/>rum enim materia lignum e&longs;t vel ferrum & eiu&longs;modi corpora Phy­<lb/>&longs;ica: attributum verò è figuris & terminis Mathematicis cuiu&longs;mo­<lb/>di &longs;unt in Geometria lineæ, diametri, centra, circuli, & eiu&longs;modi, <lb/>è quibus machinæ con&longs;tare & figuratæ e&longs;&longs;e, & vires &longs;uas accipere, <lb/>augere, diminuere, metiri o&longs;tenduntur. </s> |
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| <s id="id.000405">Vnde Mechanice pars e&longs;t <lb/>mathematicarum non aliter: quam Mu&longs;ica, Optica, A&longs;tronomia, <lb/>quas Ari&longs;toteles dixit e&longs;&longs;e<emph.end type="italics"/> <foreign lang="greek">fusikote/ras,</foreign> <emph type="italics"/>ob &longs;ubiecti &longs;cilicet, quod <lb/>tractant naturam Phy&longs;icas: &longs;ed ob<emph.end type="italics"/> <foreign lang="greek">gra/mmikas</foreign> <emph type="italics"/>id e&longs;t lineares & <lb/>numerales demon&longs;trationes, quibus ip&longs;um explicant, Mathemati­<lb/>cas. </s> | <s id="id.000405">Vnde Mechanice pars e&longs;t <lb/>mathematicarum non aliter: quam Mu&longs;ica, Optica, A&longs;tronomia, <lb/>quas Ari&longs;toteles dixit e&longs;&longs;e<emph.end type="italics"/> <foreign lang="el">fusikote/ras,</foreign> <emph type="italics"/>ob &longs;ubiecti &longs;cilicet, quod <lb/>tractant naturam Phy&longs;icas: &longs;ed ob<emph.end type="italics"/> <foreign lang="el">gra/mmikas</foreign> <emph type="italics"/>id e&longs;t lineares & <lb/>numerales demon&longs;trationes, quibus ip&longs;um explicant, Mathemati­<lb/>cas. </s> |
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| <s id="id.000406">Cæterum exeo quod dicit Ari&longs;toteles problemata Mechanica <lb/>e&longs;&longs;e Phy&longs;icis & Mathematicis con&longs;entanea, &longs;ub indicare videtur, <lb/>ne Mechanicus ante existimet machinas, quarum habuerit demon­<lb/>&longs;trationem in v&longs;um venire po&longs;&longs;e, &longs;uamque efficaciam &longs;ortiri: ni&longs;i <lb/>materia Phy&longs;ica existat, quæ rem patiatur fieri. </s> | <s id="id.000406">Cæterum exeo quod dicit Ari&longs;toteles problemata Mechanica <lb/>e&longs;&longs;e Phy&longs;icis & Mathematicis con&longs;entanea, &longs;ub indicare videtur, <lb/>ne Mechanicus ante existimet machinas, quarum habuerit demon­<lb/>&longs;trationem in v&longs;um venire po&longs;&longs;e, &longs;uamque efficaciam &longs;ortiri: ni&longs;i <lb/>materia Phy&longs;ica existat, quæ rem patiatur fieri. </s> |
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| <s id="id.000411">Sunt præterea vitia materiæ quæ Geometra, aut Mechanicus de­<lb/>mon&longs;trans non con&longs;iderat: nec etiam ob&longs;tant quo minus quæ propo­<lb/>&longs;ita &longs;unt, vera &longs;int in intellectu: Mechanicus igitur operans, priu&longs;­<lb/>quam operi &longs;e accingat, ne fru&longs;tretur, con&longs;iderare debet, an quod <lb/>proponitur effici poßit, habita ratione materiæ ex qua, aut per <expan abbr="quã">quam</expan>, <lb/>& circun&longs;tantiarum præ&longs;ertim temporis quod præ&longs;cribitur, & &longs;um­<lb/>ptuum quos facere oporteret. </s> | <s id="id.000411">Sunt præterea vitia materiæ quæ Geometra, aut Mechanicus de­<lb/>mon&longs;trans non con&longs;iderat: nec etiam ob&longs;tant quo minus quæ propo­<lb/>&longs;ita &longs;unt, vera &longs;int in intellectu: Mechanicus igitur operans, priu&longs;­<lb/>quam operi &longs;e accingat, ne fru&longs;tretur, con&longs;iderare debet, an quod <lb/>proponitur effici poßit, habita ratione materiæ ex qua, aut per <expan abbr="quã">quam</expan>, <lb/>& circun&longs;tantiarum præ&longs;ertim temporis quod præ&longs;cribitur, & &longs;um­<lb/>ptuum quos facere oporteret. </s> |
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| <s id="id.000412">Hæc enim &longs;i abunde &longs;uppetant, nec ma­<lb/>teria omnino repugnet, nihil non fieri poterit. <emph.end type="italics"/></s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><chap><p type="main"> | <s id="id.000412">Hæc enim &longs;i abunde &longs;uppetant, nec ma­<lb/>teria omnino repugnet, nihil non fieri poterit. <emph.end type="italics"/></s></p></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><subchap1><p type="main"> |
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| <s id="id.000413"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000413"><foreign lang="el">perie/xetai de\ tw=n a)poroume/nwn<lb/> e)n tw=| ge/nei tou/tw| ta\ peri\ to\n moxlo/n.</foreign></s> |
| | <s id="g0120102"><foreign lang="el">a)/topon ga\r <lb/>ei)=nai dokei= to\ kinei=sqai me/ga ba/ros u(po\ mikra=s i)sxu/os, <lb/>kai\ tau=ta meta\ ba/rous plei/onos: o(\ ga\r a)/neu moxlou= kinei=n <lb/>ou) du/natai/ tis, tou=to au)to\ to\ ba/ros proslabw\n e)/ti to\ <lb/>tou= moxlou= ba/ros, kinei= qa=tton.</foreign></s></p><p type="main"> |
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| <s id="id.000414">Dubitantur <expan abbr="aut&etilde;">autem</expan> in hoc <lb/>genere ea, quæ de vecte di­<lb/>cuntur. </s> | <s id="id.000414">Dubitantur <expan abbr="aut&etilde;">autem</expan> in hoc <lb/>genere ea, quæ de vecte di­<lb/>cuntur. </s> |
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| <s id="id.000418">Qvæ de vecte.] <emph type="italics"/>Vectis e&longs;t machina &longs;eu in&longs;trumentum in&longs;tar <lb/>pali aut baculi recti longioris, cuius alterum extremum in cu­<lb/>spidem <expan abbr="acutã">acutam</expan> & paulò latiorem de&longs;init, <expan abbr="vocaturq;">vocaturque</expan> lingua: alterum <lb/><expan abbr="extremũ">extremum</expan> caput e&longs;t, aut manubrium. </s> | <s id="id.000418">Qvæ de vecte.] <emph type="italics"/>Vectis e&longs;t machina &longs;eu in&longs;trumentum in&longs;tar <lb/>pali aut baculi recti longioris, cuius alterum extremum in cu­<lb/>spidem <expan abbr="acutã">acutam</expan> & paulò latiorem de&longs;init, <expan abbr="vocaturq;">vocaturque</expan> lingua: alterum <lb/><expan abbr="extremũ">extremum</expan> caput e&longs;t, aut manubrium. </s> |
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| <s id="id.000419">vecti in v&longs;u aliquando &longs;upponi­<lb/>tur fulcimentum, quod Græci<emph.end type="italics"/> <foreign lang="greek">u(pomo/xlion,</foreign> <emph type="italics"/>Vitruuius porrectam <lb/>preßionem appellat. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000419">vecti in v&longs;u aliquando &longs;upponi­<lb/>tur fulcimentum, quod Græci<emph.end type="italics"/> <foreign lang="el">u(pomo/xlion,</foreign> <emph type="italics"/>Vitruuius porrectam <lb/>preßionem appellat. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000420">Ab&longs;urdum enim videtur.] <emph type="italics"/>Ostenditur hic cur problema <lb/>de vecte in Mechanicis, dubitabile, &longs;iue dignum quæ&longs;itu &longs;it. </s> | <s id="id.000420">Ab&longs;urdum enim videtur.] <emph type="italics"/>Ostenditur hic cur problema <lb/>de vecte in Mechanicis, dubitabile, &longs;iue dignum quæ&longs;itu &longs;it. </s> |
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| <s id="id.000423">Nam in omni motu mouens præua­<lb/>lere debet mobili: hîc exigua potentia e&longs;t mouens: magnum pondus <lb/>e&longs;t mobile: illa quatenus exigua e&longs;t, & ante per &longs;e impotens, atque <lb/>infirma, e&longs;t inæquale minus: hoc quatenus magnum, e&longs;t inæquale <lb/>maius, & ei addito vectis onere maius adhuc effici videtur: non <lb/>igitur exigua potentia magno oneri & adaucto in motu præua­<lb/>lere debet. </s> | <s id="id.000423">Nam in omni motu mouens præua­<lb/>lere debet mobili: hîc exigua potentia e&longs;t mouens: magnum pondus <lb/>e&longs;t mobile: illa quatenus exigua e&longs;t, & ante per &longs;e impotens, atque <lb/>infirma, e&longs;t inæquale minus: hoc quatenus magnum, e&longs;t inæquale <lb/>maius, & ei addito vectis onere maius adhuc effici videtur: non <lb/>igitur exigua potentia magno oneri & adaucto in motu præua­<lb/>lere debet. </s> |
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| <s id="id.000424">Si non præualet, non mouet: mouet tamen: Relinquitur <lb/>ergo vt exi&longs;timemus aliquam cau&longs;am in hoc problemate motus eius <lb/>apparentis latentem &longs;ube&longs;&longs;e, dignam Philo&longs;ophi indagatione. <emph.end type="italics"/></s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><chap><p type="main"> | <s id="id.000424">Si non præualet, non mouet: mouet tamen: Relinquitur <lb/>ergo vt exi&longs;timemus aliquam cau&longs;am in hoc problemate motus eius <lb/>apparentis latentem &longs;ube&longs;&longs;e, dignam Philo&longs;ophi indagatione. <emph.end type="italics"/></s></p></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><subchap1><p type="main"> |
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| <s id="id.000425"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000425"><foreign lang="el">pa/ntwn de\ tw=n toiou/twn <lb/>e)/xei th=s ai)ti/as th\n a)rxh\n o( ku/klos, kai\ tou=to eu)lo/gws <lb/>sumbe/bhken.</foreign></s> |
| | <s id="g0120104"><foreign lang="el">e)k me\n ga\r qaumasiwte/rou sumbai/nein ti <lb/>qaumasto\n ou)de\n a)/topon. </foreign></s></p><p type="main"> |
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| <s id="id.000426"><expan abbr="Omniũ">Omnium</expan> verò talium cir­<lb/>culus continet cau&longs;æ prin­<lb/>cipium. </s> | <s id="id.000426"><expan abbr="Omniũ">Omnium</expan> verò talium cir­<lb/>culus continet cau&longs;æ prin­<lb/>cipium. </s> |
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| <s id="id.000434"><emph type="italics"/>Circulus e&longs;t admirabilis, & admirabilior, quam vectis: quamque <lb/>ea quæ à vecte fiunt. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000434"><emph type="italics"/>Circulus e&longs;t admirabilis, & admirabilior, quam vectis: quamque <lb/>ea quæ à vecte fiunt. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000435"><emph type="italics"/>Ergo à circulo prodire id quod e&longs;t admirabile in vecte, mechani­<lb/>ci&longs;que problematis non e&longs;t alienum. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000435"><emph type="italics"/>Ergo à circulo prodire id quod e&longs;t admirabile in vecte, mechani­<lb/>ci&longs;que problematis non e&longs;t alienum. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000436"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000436"><foreign lang="el">qaumasiw/taton de\ to\ tou)nanti/a <lb/>gi/nesqai met' a)llh/lwn.</foreign></s> |
| | <s id="g0120202"><foreign lang="el">o( de\ ku/klos sune/sthken e)k toiou/twn. </foreign></s> |
| | <s id="g0120203"><foreign lang="el"><lb/>eu)qu\s ga\r e)k kinoume/nou te gege/nhtai kai\ me/nontos, w(=n h( <lb/>fu/sis e)sti\n u(penanti/a a)llh/lois. </foreign></s> |
| | <s id="g0120203a"><foreign lang="el">w(/st' e)ntau=qa e)/stin e)pible/yasin <lb/>h(=tton qauma/zein ta\s sumbainou/sas u(penantiw/seis <lb/>peri\ au)to/n.</foreign></s></p><p type="main"> |
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| <s id="id.000437">Maximè verò mirabile <lb/>e&longs;t contraria sibi inuicem <lb/>&longs;imul fieri: Atqui circulus <lb/>ex iis con&longs;titutus e&longs;t. </s> | <s id="id.000437">Maximè verò mirabile <lb/>e&longs;t contraria sibi inuicem <lb/>&longs;imul fieri: Atqui circulus <lb/>ex iis con&longs;titutus e&longs;t. </s> |
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| <s id="id.000446">Sed præter hæc, <lb/>quæ ab Ari&longs;totele de circulo dicuntur, valde notabilia &longs;unt & alia, <lb/>quæ in Geometria in eo ine&longs;&longs;e, partim ponuntur, partim demon&longs;trata <lb/>&longs;unt. </s> | <s id="id.000446">Sed præter hæc, <lb/>quæ ab Ari&longs;totele de circulo dicuntur, valde notabilia &longs;unt & alia, <lb/>quæ in Geometria in eo ine&longs;&longs;e, partim ponuntur, partim demon&longs;trata <lb/>&longs;unt. </s> |
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| <s id="id.000447">Primum quod vna linea terminetur, eâque &longs;implici, &longs;imilari <lb/>vniformi, & carente principio, & fine, neque tamen infinita, vt <lb/>cuius, cum partes aliquot &longs;umptæ &longs;unt, quæ re&longs;tant, minus &longs;int, quam <lb/>ante quam &longs;umptæ e&longs;&longs;ent, quod repugnat infinito in magnitudine: &longs;ed <lb/>tota e&longs;t, & perfecta: vnde circulus figura e&longs;t planarum &longs;implicißi­<lb/>ma, regularißima, perfectißima: Deinde quod ea linea non &longs;it an­<lb/>gulus, ad angulum tamen proxime accedat, vt o&longs;tendimus in no&longs;tro <lb/>libello de angulo contactus, & ob id <expan abbr= "quodãmodo">quodammodo</expan> vndequaque angu­<lb/>lata, cum nu&longs;quam &longs;it, dici poßit, & figura<emph.end type="italics"/> <foreign lang="greek">pa/ngwnos & o(lo/gwnos,</foreign><lb/><emph type="italics"/>tum prima figurarum & vltima: po&longs;tea, quod ex infinitis punctis <lb/>quæ in &longs;patio ab ea comprehen&longs;o &longs;unt, vnum e&longs;t tantum, à quo omnes <lb/>rectæ ad peripheriam ductæ, &longs;unt æquales: quod Diametro bifariam <lb/>&longs;ecetur: quod hinc &longs;emicirculus circa Diametrum manentem <lb/>voluens, quou&longs;que redierit ad eum locum vnde moueri cœpit, &longs;phæ­<lb/>ram constituat, corporum &longs;implicißimum, capacißimum, mobilißi­<lb/>mum, mouentißimum: quod circulus omnium figurarum eiu&longs;dem <lb/>perimetri &longs;it capacißima: quod vno puncto lineam rectam attin­<lb/>gat, &longs;icque offen&longs;ationibus & occur&longs;ationibus minimum pateat, <lb/>&longs;icque in&longs;i&longs;tens dimidia &longs;ui totius parte nutet, vnde propen&longs;ißimus <lb/>e&longs;t ad motum, & dimotus cum moueat annexa, aptißimus quoque <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.056.jpg" pagenum="17"/><emph type="italics"/>erit ad mouendum: po&longs;tremò quod inter rectam circulum tangen­<lb/>tem, & circuli peripheriam altera recta &longs;ine &longs;ectione cadere non <lb/>poßit. </s> | <s id="id.000447">Primum quod vna linea terminetur, eâque &longs;implici, &longs;imilari <lb/>vniformi, & carente principio, & fine, neque tamen infinita, vt <lb/>cuius, cum partes aliquot &longs;umptæ &longs;unt, quæ re&longs;tant, minus &longs;int, quam <lb/>ante quam &longs;umptæ e&longs;&longs;ent, quod repugnat infinito in magnitudine: &longs;ed <lb/>tota e&longs;t, & perfecta: vnde circulus figura e&longs;t planarum &longs;implicißi­<lb/>ma, regularißima, perfectißima: Deinde quod ea linea non &longs;it an­<lb/>gulus, ad angulum tamen proxime accedat, vt o&longs;tendimus in no&longs;tro <lb/>libello de angulo contactus, & ob id <expan abbr= "quodãmodo">quodammodo</expan> vndequaque angu­<lb/>lata, cum nu&longs;quam &longs;it, dici poßit, & figura<emph.end type="italics"/> <foreign lang="el">pa/ngwnos & o(lo/gwnos,</foreign><lb/><emph type="italics"/>tum prima figurarum & vltima: po&longs;tea, quod ex infinitis punctis <lb/>quæ in &longs;patio ab ea comprehen&longs;o &longs;unt, vnum e&longs;t tantum, à quo omnes <lb/>rectæ ad peripheriam ductæ, &longs;unt æquales: quod Diametro bifariam <lb/>&longs;ecetur: quod hinc &longs;emicirculus circa Diametrum manentem <lb/>voluens, quou&longs;que redierit ad eum locum vnde moueri cœpit, &longs;phæ­<lb/>ram constituat, corporum &longs;implicißimum, capacißimum, mobilißi­<lb/>mum, mouentißimum: quod circulus omnium figurarum eiu&longs;dem <lb/>perimetri &longs;it capacißima: quod vno puncto lineam rectam attin­<lb/>gat, &longs;icque offen&longs;ationibus & occur&longs;ationibus minimum pateat, <lb/>&longs;icque in&longs;i&longs;tens dimidia &longs;ui totius parte nutet, vnde propen&longs;ißimus <lb/>e&longs;t ad motum, & dimotus cum moueat annexa, aptißimus quoque <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.056.jpg" pagenum="17"/><emph type="italics"/>erit ad mouendum: po&longs;tremò quod inter rectam circulum tangen­<lb/>tem, & circuli peripheriam altera recta &longs;ine &longs;ectione cadere non <lb/>poßit. </s> |
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| <s id="id.000448">quod 16. prop. lib. 3. elem. e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000448">quod 16. prop. lib. 3. elem. e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000456"><emph type="italics"/>Sit igitur recta A B inter extrema duo­<lb/>rum brachiorum circini A C B diua­<lb/>ricati per interuallum lineæ A B, <lb/>cuius extremum A maneat: alterum B <lb/>lineæ motu feratur per D quou&longs;que redeat <lb/>ad B: &longs;icque circulus B D B erit fa­<lb/>ctus. </s> | <s id="id.000456"><emph type="italics"/>Sit igitur recta A B inter extrema duo­<lb/>rum brachiorum circini A C B diua­<lb/>ricati per interuallum lineæ A B, <lb/>cuius extremum A maneat: alterum B <lb/>lineæ motu feratur per D quou&longs;que redeat <lb/>ad B: &longs;icque circulus B D B erit fa­<lb/>ctus. </s> |
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| <s id="id.000457">Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000457">Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000458"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000458"><foreign lang="el">prw=ton me\n ga\r th=| periexou/sh| grammh=| to\n <lb/>ku/klon pla/tos ou)qe\n e)xou/sh|, ta)nanti/a pws prosemfai/netai, <lb/>to\ koi=lon kai\ to\ kurto/n.</foreign></s> |
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| <s id="id.000459">Primum &longs;iquidem lineæ <lb/>ip&longs;um circulum <expan abbr="compre-hend&etilde;ti">compre­<lb/>hendenti</expan>, licet latitudinem <lb/>nullam habeat, contraria <lb/>quodammodo, cauum & <lb/>conuexum ine&longs;&longs;e <expan abbr="appar&etilde;t">apparent</expan>. <lb/></s> | <s id="g0120204"><foreign lang="el">tau=ta de\ die/sthken a)llh/lwn, <lb/>o(\n tro/pon to\ me/ga kai\ to\ mikro/n. </foreign></s> |
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| | <s id="g0120205"><foreign lang="el">e)kei/nwn te ga\r <lb/>me/son to\ i)/son kai\ tou/twn to\ eu)qu/. </foreign></s> |
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| | <s id="g0120205a"><foreign lang="el">dio\ metaba/llonta ei)s <lb/>a)/llhla, ta\ me\n a)nagkai=a i)/sa gene/sqai pro/teron h)\ tw=n<lb/> a)/krwn o(poteronou=n, th\n de\ grammh\n eu)qei=an, o(/tan e)k kurth=s <lb/>ei)s koi=lon h)\ pa/lin e)k tau/ths gi/nhtai kurth\ kai\ periferh/s. <lb/></foreign></s> |
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| | <s id="g0120205b"><foreign lang="el">e(\n kai\ ou)=n tou=to tw=n a)to/pwn u(pa/rxei peri\ to\n ku/klon.</foreign></s></p><p type="main"> |
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| | <s id="id.000459">Primum &longs;iquidem lineæ <lb/>ip&longs;um circulum <expan abbr="compre­hend&etilde;ti">compre­<lb/>hendenti</expan>, licet latitudinem <lb/>nullam habeat, contraria <lb/>quodammodo, cauum & <lb/>conuexum ine&longs;&longs;e <expan abbr="appar&etilde;t">apparent</expan>. <lb/></s> |
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| <s id="id.000460">Hæc autem ita inter &longs;e di­<lb/>&longs;tant, vt <expan abbr="magnũ">magnum</expan> & paruum. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.057.jpg" pagenum="18"/></s> | <s id="id.000460">Hæc autem ita inter &longs;e di­<lb/>&longs;tant, vt <expan abbr="magnũ">magnum</expan> & paruum. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.057.jpg" pagenum="18"/></s> |
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| <s><foreign lang="greek"><gap/></foreign>horum enim medium e&longs;t <lb/>æquale: illorum verò re­<lb/>ctum. </s> | <s>horum enim medium e&longs;t <lb/>æquale: illorum verò re­<lb/>ctum. </s> |
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| <s id="id.000461">Ideò inuicem cum <lb/>commutantur, priùs ne­<lb/>ce&longs;&longs;e e&longs;t æqualia fieri: li­<lb/>neam &longs;anè rectam, cum ex <lb/>conuexa fit caua: & rur&longs;us <lb/>ex ip&longs;a fit conuexa & ro­<lb/>tunda. </s> | <s id="id.000461">Ideò inuicem cum <lb/>commutantur, priùs ne­<lb/>ce&longs;&longs;e e&longs;t æqualia fieri: li­<lb/>neam &longs;anè rectam, cum ex <lb/>conuexa fit caua: & rur&longs;us <lb/>ex ip&longs;a fit conuexa & ro­<lb/>tunda. </s> |
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| <s id="id.000463">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000463">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000464">Primum &longs;iquidem.] <emph type="italics"/>Vetu&longs;tatis iniuria multas veterum li­<lb/>bris, & huic &longs;ane irrep&longs;i&longs;&longs;e mendas, non e&longs;t res dubia, vt hoc loco<emph.end type="italics"/><lb/><foreign lang="greek">prw/ton</foreign> <emph type="italics"/>pro<emph.end type="italics"/> <foreign lang="greek">deu/teron. </foreign><emph type="italics"/>Namque hîc non prima, vt iam patuit: &longs;ed &longs;e­<lb/>cunda e&longs;t in circulo repugnantia. </s> | <s id="id.000464">Primum &longs;iquidem.] <emph type="italics"/>Vetu&longs;tatis iniuria multas veterum li­<lb/>bris, & huic &longs;ane irrep&longs;i&longs;&longs;e mendas, non e&longs;t res dubia, vt hoc loco<emph.end type="italics"/><lb/><foreign lang="el">prw/ton</foreign> <emph type="italics"/>pro<emph.end type="italics"/> <foreign lang="el">deu/teron. </foreign><emph type="italics"/>Namque hîc non prima, vt iam patuit: &longs;ed &longs;e­<lb/>cunda e&longs;t in circulo repugnantia. </s> |
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| <s id="id.000465">Eaque ex eo quod cum circuli peri­<lb/>pheria &longs;it vna linea def. 15. lib. 1. elem. & idcirco latitudinis expers <lb/>def. 2. lib. eiu&longs;dem: habeat tamen in &longs;e contraria conuexum &longs;cilicet, <lb/>& concauum: illud quidem quà &longs;pectat foras: hoc vero quà intra. <lb/></s> | <s id="id.000465">Eaque ex eo quod cum circuli peri­<lb/>pheria &longs;it vna linea def. 15. lib. 1. elem. & idcirco latitudinis expers <lb/>def. 2. lib. eiu&longs;dem: habeat tamen in &longs;e contraria conuexum &longs;cilicet, <lb/>& concauum: illud quidem quà &longs;pectat foras: hoc vero quà intra. <lb/></s> |
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| <s id="id.000469">vbi nota Ari&longs;totelem dixi&longs;&longs;e hæc<emph.end type="italics"/> <foreign lang="greek">e)nanti/a pws</foreign> <emph type="italics"/>contraria quodam­<lb/>modo. </s> | <s id="id.000469">vbi nota Ari&longs;totelem dixi&longs;&longs;e hæc<emph.end type="italics"/> <foreign lang="el">e)nanti/a pws</foreign> <emph type="italics"/>contraria quodam­<lb/>modo. </s> |
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| <s id="id.000470">Nec enim vere contraria &longs;unt, quia vere contraria &longs;unt ea, <lb/>quæ &longs;ecundum &longs;eip&longs;a &longs;umpta, ex &longs;eip&longs;is extreme di&longs;tant, & vnde &longs;e <lb/>expellere nata &longs;int, habent: at hæc conuexum & concauum non &longs;ic <lb/>extreme di&longs;tant: &longs;ed ratione &longs;itus partium in diuer&longs;is locorum diffe­<lb/>rentijs, quod &longs;cilicet aliæ alijs &longs;int al­<emph.end type="italics"/><lb/><figure id="id.035.01.057.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.057.1.jpg"/><lb/><emph type="italics"/>tiores, vel depreßiores. </s> | <s id="id.000470">Nec enim vere contraria &longs;unt, quia vere contraria &longs;unt ea, <lb/>quæ &longs;ecundum &longs;eip&longs;a &longs;umpta, ex &longs;eip&longs;is extreme di&longs;tant, & vnde &longs;e <lb/>expellere nata &longs;int, habent: at hæc conuexum & concauum non &longs;ic <lb/>extreme di&longs;tant: &longs;ed ratione &longs;itus partium in diuer&longs;is locorum diffe­<lb/>rentijs, quod &longs;cilicet aliæ alijs &longs;int al­<emph.end type="italics"/><lb/><figure id="id.035.01.057.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.057.1.jpg"/><lb/><emph type="italics"/>tiores, vel depreßiores. </s> |
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| <s id="id.000486">Hinc intellige, vt id obiter annotem, quod apud Ari&longs;to­<lb/>telem memini me legi&longs;&longs;e, nullam paruam mulierem pulchram e&longs;&longs;e, <lb/>quia, quod prima pars e&longs;t pulchritudinis non habet, &longs;ymmetrum &longs;ui <lb/>generis. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000486">Hinc intellige, vt id obiter annotem, quod apud Ari&longs;to­<lb/>telem memini me legi&longs;&longs;e, nullam paruam mulierem pulchram e&longs;&longs;e, <lb/>quia, quod prima pars e&longs;t pulchritudinis non habet, &longs;ymmetrum &longs;ui <lb/>generis. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="greek">to\ a)/topon. </foreign><emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="greek">qauma/sion</foreign> <emph type="italics"/>&longs;umitur, id e&longs;t igitur e&longs;&longs;e conuexum & concauum <lb/>in linea vnum e&longs;t ex admirabilibus circuli. <emph.end type="italics"/></s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/><chap><p type="main"> | <s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="el">to\ a)/topon. </foreign><emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="el">qauma/sion</foreign> <emph type="italics"/>&longs;umitur, id e&longs;t igitur e&longs;&longs;e conuexum & concauum <lb/>in linea vnum e&longs;t ex admirabilibus circuli. <emph.end type="italics"/></s></p></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/><subchap1><p type="main"> |
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| <s id="id.000488"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000488"><foreign lang="el">deu/teron de\ o(/ti a(/ma kinei=tai ta\s e)nanti/as kinh/seis: <lb/>a(/ma ga\r ei)s to\n e)/mprosqen kinei=tai to/pon kai\ to\n o)/pisqen: <lb/>h(/ te gra/fousa grammh\ to\n ku/klon w(sau/tws e)/xei. </foreign></s> |
| | <s id="g0120302a"><foreign lang="el">e)c <lb/>ou(= ga\r a)/rxetai to/pou to\ pe/ras au)th=s, ei)s to\n au)to\n tou=ton to/pon <lb/>e)/rxetai pa/lin: sunexw=s ga\r kinoume/nhs au)th=s to\ e)/sxaton <lb/>pa/lin a)ph=lqe prw=ton, w(/ste kai\ fanero\n o(/ti mete/balen <lb/>e)nteu=qen.</foreign></s> |
| | <s id="g0120303"><foreign lang="el">dio/, kaqa/per ei)/rhtai pro/teron, ou)de\n a)/topon, to\ <lb/>pa/ntwn ei)=nai tw=n qauma/twn au)to\n a)rxh/n.</foreign></s> |
| | <s id="g0120401"><foreign lang="el">ta\ me\n ou)=n peri\ <lb/>to\n zugo\n gino/mena, ei)s to\n ku/klon a)na/getai, ta\ de\ peri\ <lb/>to\n moxlo\n ei)s to\n zugo/n. </foreign></s> |
| | <s id="g0120401a"><foreign lang="el">ta\ d' a)/lla pa/nta sxedo\n ta\ <lb/>peri\ ta\s kinh/seis ta\s mhxanika\s, ei)s to\n moxlo/n.</foreign></s></p><p type="main"> |
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| <s id="id.000489">Secundum e&longs;t, quod con­<lb/>trariis motionibus &longs;imul <lb/>moueatur. </s> | <s id="id.000489">Secundum e&longs;t, quod con­<lb/>trariis motionibus &longs;imul <lb/>moueatur. </s> |
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| <s id="id.000495">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000495">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000496">Secundum.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="greek">deu/teron</foreign> <emph type="italics"/>legamus &longs;i placet<emph.end type="italics"/> <foreign lang="greek">trh/ton. </foreign><emph type="italics"/>Hic enim <lb/>tertia e&longs;t repugnantia in circulo ex contrarijs motionibus, quas <lb/>&longs;imul habet, antè &longs;cilicet cum pars eius vna mouetur: oppo&longs;ita in <lb/>ip&longs;omet tempore ponè mouetur. </s> | <s id="id.000496">Secundum.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="el">deu/teron</foreign> <emph type="italics"/>legamus &longs;i placet<emph.end type="italics"/> <foreign lang="el">trh/ton. </foreign><emph type="italics"/>Hic enim <lb/>tertia e&longs;t repugnantia in circulo ex contrarijs motionibus, quas <lb/>&longs;imul habet, antè &longs;cilicet cum pars eius vna mouetur: oppo&longs;ita in <lb/>ip&longs;omet tempore ponè mouetur. </s> |
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| <s id="id.000497">Hoc autem e&longs;t contrarias motiones <lb/>&longs;imul habere. </s> | <s id="id.000497">Hoc autem e&longs;t contrarias motiones <lb/>&longs;imul habere. </s> |
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| <s id="id.000511">ex cuius tamen natura magnorum effe­<lb/>ctuum po&longs;tea cau&longs;æ repetuntur, cum diametri B D, vt inflexilis <lb/>circa A, centrum fixum motæ, &longs;i B, deprimatur, nece&longs;&longs;e e&longs;t alte­<lb/>rum extremum D, attolli: & contra. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000511">ex cuius tamen natura magnorum effe­<lb/>ctuum po&longs;tea cau&longs;æ repetuntur, cum diametri B D, vt inflexilis <lb/>circa A, centrum fixum motæ, &longs;i B, deprimatur, nece&longs;&longs;e e&longs;t alte­<lb/>rum extremum D, attolli: & contra. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000512">Propterea vt e&longs;t prius.] <emph type="italics"/>Conclu&longs;io generalis e&longs;t, huc, vt exi­<lb/>&longs;timo, è fine primi huius capitis, vbi melius collocaretur, <expan abbr="trãspo&longs;ita">transpo&longs;ita</expan>, <lb/>quod amplius declarant ea, quæ &longs;ubijciuntur de vecte & libra, ad <lb/>quæ cum referat omnia Mechanica, & ip&longs;a vectis & libra referan­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.061.jpg" pagenum="22"/><emph type="italics"/>tur ad circulum, &longs;equenti etiam capite, quod erat proximum, libræ <lb/>motiones explicat. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000512">Propterea vt e&longs;t prius.] <emph type="italics"/>Conclu&longs;io generalis e&longs;t, huc, vt exi­<lb/>&longs;timo, è fine primi huius capitis, vbi melius collocaretur, <expan abbr="trãspo&longs;ita">transpo&longs;ita</expan>, <lb/>quod amplius declarant ea, quæ &longs;ubijciuntur de vecte & libra, ad <lb/>quæ cum referat omnia Mechanica, & ip&longs;a vectis & libra referan­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.061.jpg" pagenum="22"/><emph type="italics"/>tur ad circulum, &longs;equenti etiam capite, quod erat proximum, libræ <lb/>motiones explicat. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000513"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000513"><foreign lang="el">e)/ti de\ <lb/>dia\ to\ mia=s ou)/shs th=s e)k tou= ke/ntrou grammh=s mhqe\n e(/teron <lb/>e(te/rw| fe/resqai tw=n shmei/wn tw=n e)n au)th=| i)sotaxw=s, a)ll' a)ei\ <lb/>to\ tou= me/nontos pe/ratos porrw/teron o)\n qa=tton, polla\ tw=n qaumazome/nwn <lb/>sumbai/nei peri\ ta\s kinh/seis tw=n ku/klwn, peri\ <lb/>w(=n e)n toi=s e(pome/nois problh/masin e)/stai dh=lon.</foreign></s></p><p type="main"> |
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| <s id="id.000514">Præterea etiam, quod, <lb/>cum vna &longs;it ea linea, quæ <lb/>ex centro, nullum eorum, <lb/>quæ in ea &longs;unt, <expan abbr="pũctorum">punctorum</expan>, <lb/>æquè celeriter fertur: &longs;ed <lb/>hoc, quod longius e&longs;t ab <lb/>extremo eius immobili, <lb/>&longs;emper celerius: miranda <lb/>multa circa motiones cir­<lb/>culi contingunt, vt in <expan abbr="&longs;e-qu&etilde;tibus">&longs;e­<lb/>quentibus</expan> problematis fiet <lb/>manife&longs;tum. </s></p><p type="head"> | <s id="id.000514">Præterea etiam, quod, <lb/>cum vna &longs;it ea linea, quæ <lb/>ex centro, nullum eorum, <lb/>quæ in ea &longs;unt, <expan abbr="pũctorum">punctorum</expan>, <lb/>æquè celeriter fertur: &longs;ed <lb/>hoc, quod longius e&longs;t ab <lb/>extremo eius immobili, <lb/>&longs;emper celerius: miranda <lb/>multa circa motiones cir­<lb/>culi contingunt, vt in <expan abbr="&longs;e­qu&etilde;tibus">&longs;e­<lb/>quentibus</expan> problematis fiet <lb/>manife&longs;tum. </s></p><p type="head"> |
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| <s id="id.000515">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000515">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000524">Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul. <emph.end type="italics"/><lb/><figure id="id.035.01.062.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.062.1.jpg"/><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>& D G diame­<lb/>ter. </s> | <s id="id.000524">Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul. <emph.end type="italics"/><lb/><figure id="id.035.01.062.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.062.1.jpg"/><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>& D G diame­<lb/>ter. </s> |
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| <s id="id.000525">Quia igi­<lb/>tur vt diameter <lb/>A C ad <expan abbr="&longs;uã">&longs;uam</expan> <expan abbr="pe-ripheriã">pe­<lb/>ripheriam</expan> A B C: <lb/>ita & D G diameter ad &longs;uam peripheriam D F G, per ea quæ <lb/>demon&longs;trata &longs;unt ab Archimede prop. 3. lib. de dimen&longs;. circuli, & <lb/>vicißim proportionales erunt A C diameter ad D G diametrum: <lb/>vt peripheria A B C ad peripheriam D F G prop. 16. lib. 5. & <lb/>quia A E & D H partes &longs;unt pariter multiplicium A C, D G <lb/>vtpote &longs;emidiametri &longs;uarum diametrorum, erit A E ad D H vt <lb/>A C ad D G prop. 15. lib. 5. ergo & peripheria A B C ad peri­<lb/>pheriam D F G: vt A E ad D H prop. 11. lib. eiu&longs;dem. </s> | <s id="id.000525">Quia igi­<lb/>tur vt diameter <lb/>A C ad <expan abbr="&longs;uã">&longs;uam</expan> <expan abbr="pe­ripheriã">pe­<lb/>ripheriam</expan> A B C: <lb/>ita & D G diameter ad &longs;uam peripheriam D F G, per ea quæ <lb/>demon&longs;trata &longs;unt ab Archimede prop. 3. lib. de dimen&longs;. circuli, & <lb/>vicißim proportionales erunt A C diameter ad D G diametrum: <lb/>vt peripheria A B C ad peripheriam D F G prop. 16. lib. 5. & <lb/>quia A E & D H partes &longs;unt pariter multiplicium A C, D G <lb/>vtpote &longs;emidiametri &longs;uarum diametrorum, erit A E ad D H vt <lb/>A C ad D G prop. 15. lib. 5. ergo & peripheria A B C ad peri­<lb/>pheriam D F G: vt A E ad D H prop. 11. lib. eiu&longs;dem. </s> |
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| <s id="id.000529">E&longs;t <lb/>autem A E maior: quam D H ex hypothe&longs;i. </s> | <s id="id.000529">E&longs;t <lb/>autem A E maior: quam D H ex hypothe&longs;i. </s> |
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| <s id="id.000530">Erit igitur peri­<lb/>pheria A B C maior: quam peripheria D F G. </s> | <s id="id.000530">Erit igitur peri­<lb/>pheria A B C maior: quam peripheria D F G. </s> |
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| <s id="id.000531">Et &longs;ic peripheria <lb/>remotioris puncti à centro maior e&longs;t peripheria puncti centro pro­<lb/>pinquioris, quod fuit demon&longs;trandum. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000531">Et &longs;ic peripheria <lb/>remotioris puncti à centro maior e&longs;t peripheria puncti centro pro­<lb/>pinquioris, quod fuit demon&longs;trandum. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000532"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000532"><foreign lang="el">dia\ de\ to\ <lb/>ta\s e)nanti/as kinh/seis a(/ma kinei=sqai to\n ku/klon, kai\ to\ <lb/>me\n e(/teron th=s diame/trou tw=n a)/krwn, e)f' ou(= to\ a, ei)s tou)/mprosqen <lb/>kinei=sqai, qa/teron de/, e)f' ou(= to\ *b ei)s tou)/pisqen <lb/>kataskeua/zousi/ tines, w(/st' a)po\ mia=s kinh/sews pollou\s u(penanti/ous <lb/>a(/ma kinei=sqai ku/klous, w(/sper ou(\s a)natiqe/asin e)n <lb/>toi=s i(eroi=s; poih/santes troxi/skous xalkou=s te kai\ sidhrou=s.</foreign></s> |
| | <s id="g0120502"><foreign lang="el"><lb/>ei) ga\r ei)/h tou= *a*b ku/klou a(pto/menos e(/teros ku/klos e)f' ou(= <lb/>*g*d, tou= ku/klou, e)f' ou(= *a*b, kinoume/nhs th=s diame/trou <lb/>ei)s tou)/mprosqen, kinhqh/setai h( *g*d ei)s tou)/pisqen tou= ku/klou <lb/>tou= e)f' w(=| *a, kinoume/nhs th=s diame/trou peri\ to\ au)to/.</foreign></s> |
| | <s id="g0120503"><foreign lang="el">ei)s <lb/>tou)nanti/on a)/ra kinhqh/setai o( e)f' ou(= *g*d ku/klos, tw=| e)f' <lb/>ou(= to\ *a*b: kai\ pa/lin au)to\s to\n e)fech=s, e)f' ou(= *e*z, ei)s <lb/>tou)nanti/on au(tw=| kinh/sei dia\ th\n au)th\n tau/thn ai)ti/an.</foreign></s> |
| | <s id="g0120601"><foreign lang="el">to\n au)to\n de\ <lb/>tro/pon ka)\n plei/ous w)=si, tou=to poih/sousin e(no\s mo/nou kinhqe/ntos.</foreign></s> |
| | <s id="g0120602"><foreign lang="el"><lb/>tau/thn ou)=n labo/ntes u(pa/rxousan e)n tw=| ku/klw| th\n <lb/>fu/sin oi( dhmiourgoi\ kataskeua/zousin o)/rganon kru/ptontes <lb/>th\n a)rxh/n, o(/pws h)=| tou= mhxanh/matos fanero\n mo/non to\ <lb/>qaumasto/n, to\ d' ai)/tion a)/dhlon. <lb/></foreign></s></p><p type="main"> |
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| <s id="id.000533">Quod autem circulus <lb/><expan abbr="cõtrariis">contrariis</expan> cieatur motibus, <lb/>& alterum extremorum <lb/>diametri in quo e&longs;t A, dum <lb/>mouetur antror&longs;um, alte­<lb/>rum in quo e&longs;t B mouea­<lb/>tur retror&longs;um, ideo non­<lb/>nulli <expan abbr="faciũt">faciunt</expan>, vt ab vna mo­<lb/>tione multi circuli &longs;imul <lb/>in contraria moueantur: <lb/>vt quos in deorum templis <lb/>&longs;tatuunt, efficientes circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.063.jpg" pagenum="24"/><foreign lang="greek"><gap/></foreign><lb/>los æreos & ferreos. </s> | <s id="id.000533">Quod autem circulus <lb/><expan abbr="cõtrariis">contrariis</expan> cieatur motibus, <lb/>& alterum extremorum <lb/>diametri in quo e&longs;t A, dum <lb/>mouetur antror&longs;um, alte­<lb/>rum in quo e&longs;t B mouea­<lb/>tur retror&longs;um, ideo non­<lb/>nulli <expan abbr="faciũt">faciunt</expan>, vt ab vna mo­<lb/>tione multi circuli &longs;imul <lb/>in contraria moueantur: <lb/>vt quos in deorum templis <lb/>&longs;tatuunt, efficientes circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.063.jpg" pagenum="24"/>los æreos & ferreos. </s> |
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| <s id="id.000534">Si <lb/>enim circulum in quo e&longs;t <lb/>A B, alter circulus in quo <lb/>e&longs;t G D attigerit, diame­<lb/>tro circuli A B antror­<lb/>&longs;um mota, diameter circu­<lb/>li G D retror&longs;um moue­<lb/>bitur, circuli in quo e&longs;t A <lb/>diametro circa idem mo­<lb/>ta. </s> | <s id="id.000534">Si <lb/>enim circulum in quo e&longs;t <lb/>A B, alter circulus in quo <lb/>e&longs;t G D attigerit, diame­<lb/>tro circuli A B antror­<lb/>&longs;um mota, diameter circu­<lb/>li G D retror&longs;um moue­<lb/>bitur, circuli in quo e&longs;t A <lb/>diametro circa idem mo­<lb/>ta. </s> |
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| <s id="id.000538">Qvod autem circulus.] <emph type="italics"/>Tertia repugnantia in vnius cir­<lb/>culi contrarijs motionibus ante po&longs;ita amplius declaratur, ab <lb/>exemplo plurium: &longs;ed contiguorum ab vnica vi primaria &longs;ecundum <lb/>motus contrarios motorum. </s> | <s id="id.000538">Qvod autem circulus.] <emph type="italics"/>Tertia repugnantia in vnius cir­<lb/>culi contrarijs motionibus ante po&longs;ita amplius declaratur, ab <lb/>exemplo plurium: &longs;ed contiguorum ab vnica vi primaria &longs;ecundum <lb/>motus contrarios motorum. </s> |
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| <s id="id.000539">Vt &longs;unto tres circuli contingentes quod­<lb/>que ferè fit denticulis pectinis in&longs;tar &longs;e&longs;e &longs;ubingredientibus in peri­<lb/>phcria præditi, quorum primus A B, moueatur antror&longs;um, &longs;eu &longs;e­<lb/>cundum &longs;uperiorem peripheriam, vt A feratur ver&longs;us C: alter <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.064.jpg" pagenum="25"/><emph type="italics"/>G D ad illius motum nece&longs;&longs;ario mouebitur propter denticulos, &longs;ed <lb/><expan abbr="retrorsũ">retrorsum </expan><emph.end type="italics"/><lb/><figure id="id.035.01.064.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.064.1.jpg"/><lb/><emph type="italics"/>&longs;eu <expan abbr="&longs;ecũ-dum">&longs;ecun­<lb/>dum</expan> <expan abbr="in-ferior&etilde;">in­<lb/>feriorem</expan> <lb/><expan abbr="periphe-riã">periphe­<lb/>riam</expan>, vt <lb/>G ad B: <lb/>tum ter­<lb/>tius E Z ad &longs;ecundi motum mouebitur etiam, &longs;ed antror&longs;um, vt E <lb/>ad F, & &longs;int deinceps alternatim infiniti denticulis &longs;e&longs;e &longs;ubinui­<lb/>cem ingredientibus, &longs;emper mouebuntur. </s> | <s id="id.000539">Vt &longs;unto tres circuli contingentes quod­<lb/>que ferè fit denticulis pectinis in&longs;tar &longs;e&longs;e &longs;ubingredientibus in peri­<lb/>phcria præditi, quorum primus A B, moueatur antror&longs;um, &longs;eu &longs;e­<lb/>cundum &longs;uperiorem peripheriam, vt A feratur ver&longs;us C: alter <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.064.jpg" pagenum="25"/><emph type="italics"/>G D ad illius motum nece&longs;&longs;ario mouebitur propter denticulos, &longs;ed <lb/><expan abbr="retrorsũ">retrorsum </expan><emph.end type="italics"/><lb/><figure id="id.035.01.064.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.064.1.jpg"/><lb/><emph type="italics"/>&longs;eu <expan abbr="&longs;ecũ­dum">&longs;ecun­<lb/>dum</expan> <expan abbr="in­ferior&etilde;">in­<lb/>feriorem</expan> <lb/><expan abbr="periphe­riã">periphe­<lb/>riam</expan>, vt <lb/>G ad B: <lb/>tum ter­<lb/>tius E Z ad &longs;ecundi motum mouebitur etiam, &longs;ed antror&longs;um, vt E <lb/>ad F, & &longs;int deinceps alternatim infiniti denticulis &longs;e&longs;e &longs;ubinui­<lb/>cem ingredientibus, &longs;emper mouebuntur. </s> |
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| <s id="id.000540">Vnde tunc à Fabro dato <lb/>principio motionis, vertebra vertebram continenter mouet, vltimá­<lb/>que ab illis &longs;imulacrorum excita fit præteruectio, non aliter quam in <lb/>animalium genere à &longs;en&longs;u, vel intellectione motionum exorto prin­<lb/>cipio intrin&longs;ecis commotis cau&longs;is, &longs;eque inuicem mouentibus, vt alij <lb/>po&longs;tmodum extrin&longs;ecus, cum partium ip&longs;arum, tum etiam vniuer&longs;i <lb/>corporis vi&longs;untur motus. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000540">Vnde tunc à Fabro dato <lb/>principio motionis, vertebra vertebram continenter mouet, vltimá­<lb/>que ab illis &longs;imulacrorum excita fit præteruectio, non aliter quam in <lb/>animalium genere à &longs;en&longs;u, vel intellectione motionum exorto prin­<lb/>cipio intrin&longs;ecis commotis cau&longs;is, &longs;eque inuicem mouentibus, vt alij <lb/>po&longs;tmodum extrin&longs;ecus, cum partium ip&longs;arum, tum etiam vniuer&longs;i <lb/>corporis vi&longs;untur motus. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000542">Huius rei <lb/>fecit mentionem Galenus, qui miracula inquit moliuntur principio <lb/>motionis exhibito di&longs;cedunt, Machinæ vero ip&longs;æ aliquanti&longs;per, non <lb/>multo tamen tempore per &longs;e ip&longs;æ arti&longs;iciosè impelluntur. cap. 6. lib. de <lb/>fœt. format. </s> | <s id="id.000542">Huius rei <lb/>fecit mentionem Galenus, qui miracula inquit moliuntur principio <lb/>motionis exhibito di&longs;cedunt, Machinæ vero ip&longs;æ aliquanti&longs;per, non <lb/>multo tamen tempore per &longs;e ip&longs;æ arti&longs;iciosè impelluntur. cap. 6. lib. de <lb/>fœt. format. </s> |
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| <s id="id.000545">Herodotus hi&longs;toria &longs;ecunda videtur ex his aliqua<emph.end type="italics"/> <foreign lang="greek">neu­<lb/>ro/spasta</foreign> <emph type="italics"/>appella&longs;&longs;e: qua&longs;i diceremus, per funiculos tanquam neruos <lb/>circa rotulas inuolutos, varijs motibus agitata. </s> | <s id="id.000545">Herodotus hi&longs;toria &longs;ecunda videtur ex his aliqua<emph.end type="italics"/> <foreign lang="el">neu­<lb/>ro/spasta</foreign> <emph type="italics"/>appella&longs;&longs;e: qua&longs;i diceremus, per funiculos tanquam neruos <lb/>circa rotulas inuolutos, varijs motibus agitata. </s> |
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| <s id="id.000546">Eiu&longs;modi erant adeò <lb/>celebratæ Dædali &longs;tatuæ, quæ inquit Plato ni&longs;i ligatæ aufugiebant,<emph.end type="italics"/><lb/><arrow.to.target n="marg12"/><lb/><emph type="italics"/>& vago quodam &longs;inuo&longs;oque impetu ferebantur in fugam: ligatæ <lb/>vero permanebant, vnde illæ non magno pretio emebantur in&longs;tar <lb/>&longs;erui fugitiui: hæ contra magno. </s> | <s id="id.000546">Eiu&longs;modi erant adeò <lb/>celebratæ Dædali &longs;tatuæ, quæ inquit Plato ni&longs;i ligatæ aufugiebant,<emph.end type="italics"/><lb/><arrow.to.target n="marg12"/><lb/><emph type="italics"/>& vago quodam &longs;inuo&longs;oque impetu ferebantur in fugam: ligatæ <lb/>vero permanebant, vnde illæ non magno pretio emebantur in&longs;tar <lb/>&longs;erui fugitiui: hæ contra magno. </s> |
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| <s id="id.000547">Erant enim præclara opera. <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.065.jpg" pagenum="26"/><emph type="italics"/>Hodie etiam no&longs;tri artifices ex hac plurium rotularum mira in­<lb/>ter &longs;e coniunctione, aliquoque ex &longs;e mobili vt animali, vento, fu­<lb/>mo, aqua, lamina chalybea primum motum &longs;uppeditante commota<emph.end type="italics"/><lb/><foreign lang="greek">au)to/mata</foreign> <emph type="italics"/>faciunt non &longs;olum admirabilia: &longs;ed etiam maximè vti­<lb/>lia, qualia &longs;unt horologia veterum clep&longs;ydras, & gnomones &longs;ine luce <lb/>& &longs;erenitate inutiles, commoditate & perpetuitate longè &longs;uperan­<lb/>tia, quibus hodie dies ciuilis in 24. partes, quas horas vocant, di­<lb/>&longs;tribuitur. </s> | <s id="id.000547">Erant enim præclara opera. <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.065.jpg" pagenum="26"/><emph type="italics"/>Hodie etiam no&longs;tri artifices ex hac plurium rotularum mira in­<lb/>ter &longs;e coniunctione, aliquoque ex &longs;e mobili vt animali, vento, fu­<lb/>mo, aqua, lamina chalybea primum motum &longs;uppeditante commota<emph.end type="italics"/><lb/><foreign lang="el">au)to/mata</foreign> <emph type="italics"/>faciunt non &longs;olum admirabilia: &longs;ed etiam maximè vti­<lb/>lia, qualia &longs;unt horologia veterum clep&longs;ydras, & gnomones &longs;ine luce <lb/>& &longs;erenitate inutiles, commoditate & perpetuitate longè &longs;uperan­<lb/>tia, quibus hodie dies ciuilis in 24. partes, quas horas vocant, di­<lb/>&longs;tribuitur. </s> |
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| <s id="id.000548">Ex quibus alia &longs;unt &longs;tataria, & in &longs;ummis templorum no­<lb/>&longs;trorum partibus collocata: alia in <expan abbr="hominũ">hominum</expan> collis, Zoní&longs;ue <expan abbr="app&etilde;&longs;a">appen&longs;a</expan> præ <lb/>exiguitate ponderis nullo modo mole&longs;ta, <expan abbr="circunferũtur">circunferuntur</expan>. </s> | <s id="id.000548">Ex quibus alia &longs;unt &longs;tataria, & in &longs;ummis templorum no­<lb/>&longs;trorum partibus collocata: alia in <expan abbr="hominũ">hominum</expan> collis, Zoní&longs;ue <expan abbr="app&etilde;&longs;a">appen&longs;a</expan> præ <lb/>exiguitate ponderis nullo modo mole&longs;ta, <expan abbr="circunferũtur">circunferuntur</expan>. </s> |
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| <s id="id.000551">Hæc, & quæ imaguncularum ince&longs;&longs;um, &longs;altum, cho­<lb/>reas repræ&longs;entant, faciunt, vt quæ de Architæ columba volatili, & <lb/>de Archimedis &longs;phæra ver&longs;atili memoriæ reliquit antiquitas, pro <lb/>fal&longs;is minime habeamus. <emph.end type="italics"/></s></p><p type="margin"> | <s id="id.000551">Hæc, & quæ imaguncularum ince&longs;&longs;um, &longs;altum, cho­<lb/>reas repræ&longs;entant, faciunt, vt quæ de Architæ columba volatili, & <lb/>de Archimedis &longs;phæra ver&longs;atili memoriæ reliquit antiquitas, pro <lb/>fal&longs;is minime habeamus. <emph.end type="italics"/></s></p><p type="margin"> |
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| <s id="id.000552"><margin.target id="marg12"/>In Menone</s></p></chap><chap><p type="main"> | <s id="id.000552"><margin.target id="marg12"/>In Menone</s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.000553">2. <foreign lang="greek">*amfi\ zugou= dia\ ti/ e)n tw|= <lb/>ku/klw| h( mei/zwn grammh\ <lb/>qa=tton fe/retai th=s e)lattonos, <lb/>kai\ e)nteu=qen dia\ ti/ ta\ mei/­<lb/>zw zuga\ a)kribetera/ e)sti tw=n <lb/>e)latto/nwn. </foreign></s></p><p type="main"> | <s id="id.000553">2. <foreign lang="el">*amfi\ zugou= dia\ ti/ e)n tw|= <lb/>ku/klw| h( mei/zwn grammh\ <lb/>qa=tton fe/retai th=s e)lattonos, <lb/>kai\ e)nteu=qen dia\ ti/ ta\ mei/­<lb/>zw zuga\ a)kribetera/ e)sti tw=n <lb/>e)latto/nwn. </foreign></s></p><p type="main"> |
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| <s id="id.000554">2. De libra propter quid <lb/>maior linea in circulo <lb/>celerius fertur, minore. <lb/></s> | <s id="id.000554">2. De libra propter quid <lb/>maior linea in circulo <lb/>celerius fertur, minore. <lb/></s> |
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| <s id="id.000555">Ex quo fit vt libræ ma­<lb/>iores minoribus &longs;int <lb/>exactiores. </s></p><p type="main"> | <s id="id.000555">Ex quo fit vt libræ ma­<lb/>iores minoribus &longs;int <lb/>exactiores. </s></p><p type="main"> |
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| <s><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s><foreign lang="el">*prw=ton me\n ou)=n ta\ sumbai/nonta peri\ to\n zugo\n a)porei=tai, <lb/>dia\ ti/na ai)ti/an a)kribe/stera/ e)sti ta\ zuga\ ta\ mei/zw <lb/>tw=n e)latto/nwn.</foreign></s> |
| | <s id="g0120702"><foreign lang="el">tou/tou de\ a)rxh/, dia\ ti/ pote e)n tw=| ku/klw| <lb/>h( plei=on a)festhkui=a grammh\ tou= ke/ntrou th=s e)ggu\s, th=| <lb/>au)th=| i)sxu/i kinoume/nh qa=tton fe/retai th=s e)la/ttonos, to\ <lb/>ga\r qa=tton le/getai dixw=s.</foreign></s> |
| | <s id="g0120704"><foreign lang="el">a)/n te ga\r e)n e)la/ttoni xro/nw| <lb/>i)/son to/pon diece/lqh|, qa=tton ei)=nai le/gomen, kai\ e)a\n e)n i)/sw|, <lb/>plei/w.</foreign></s> |
| | <s id="g0120705"><foreign lang="el">h( de\ mei/zwn e)n i)/sw| xro/nw| gra/fei mei/zona ku/klon: <lb/>o( ga\r e)kto\s mei/zwn tou= e)nto/s.</foreign></s></p><p type="main"> |
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| <s id="id.000557"><expan abbr="Primũ">Primum</expan> igitur qu&ecedil; circa <expan abbr="li-brã">li­<lb/>bram</expan> <expan abbr="cõtingunt">contingunt</expan>, <expan abbr="difficultat&etilde;">difficultatem</expan> <lb/><expan abbr="adferũt">adferunt</expan>. </s> | <s id="id.000557"><expan abbr="Primũ">Primum</expan> igitur qu&ecedil; circa <expan abbr="li­brã">li­<lb/>bram</expan> <expan abbr="cõtingunt">contingunt</expan>, <expan abbr="difficultat&etilde;">difficultatem</expan> <lb/><expan abbr="adferũt">adferunt</expan>. </s> |
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| <s id="id.000558">Ob quam cau&longs;am <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.066.jpg" pagenum="27"/><foreign lang="greek"><gap/></foreign><lb/>libræ maiores minoribus <lb/>&longs;int exactiores. </s> | <s id="id.000558">Ob quam cau&longs;am <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.066.jpg" pagenum="27"/>libræ maiores minoribus <lb/>&longs;int exactiores. </s> |
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| <s id="id.000559">Huius vero <lb/><expan abbr="principiũ">principium</expan> e&longs;t quare in cir­<lb/>culo <expan abbr="di&longs;tãtior">di&longs;tantior</expan> linea à cen­<lb/>tro, ei propinquiore <expan abbr="ead&etilde;">eadem</expan> <lb/>vi mota celerius fertur. <lb/></s> | <s id="id.000559">Huius vero <lb/><expan abbr="principiũ">principium</expan> e&longs;t quare in cir­<lb/>culo <expan abbr="di&longs;tãtior">di&longs;tantior</expan> linea à cen­<lb/>tro, ei propinquiore <expan abbr="ead&etilde;">eadem</expan> <lb/>vi mota celerius fertur. <lb/></s> |
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| <s id="id.000583">De <lb/>duabus rectis intra triangulum, rectangulum vel amblygonium <lb/>comprehen&longs;is, quæ maiores con&longs;titui po&longs;&longs;unt ijs à quibus ambiuntur. <lb/></s> | <s id="id.000583">De <lb/>duabus rectis intra triangulum, rectangulum vel amblygonium <lb/>comprehen&longs;is, quæ maiores con&longs;titui po&longs;&longs;unt ijs à quibus ambiuntur. <lb/></s> |
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| <s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis, <lb/>quam circulorum peripherijs, meritò ante, cum huius proprietatis <lb/>mentio fieret, capite præcedenti peripheriam maioris circuli periphe­<lb/>ria minoris maiorem e&longs;&longs;e demon&longs;trauimus, &longs;ed etiam huius magni­<lb/>tudinis maioris cau&longs;a, hic ab Ari&longs;totele &longs;ubiungitur. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000584">Ob hæc igitur, cum hic locus non tam debeat intelligi de circulis, <lb/>quam circulorum peripherijs, meritò ante, cum huius proprietatis <lb/>mentio fieret, capite præcedenti peripheriam maioris circuli periphe­<lb/>ria minoris maiorem e&longs;&longs;e demon&longs;trauimus, &longs;ed etiam huius magni­<lb/>tudinis maioris cau&longs;a, hic ab Ari&longs;totele &longs;ubiungitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| | <s id="id.000585"><foreign lang="el"> ai)/tion de\ tou/twn, o(/ti fe/retai <lb/>du/o fora\s h( gra/fousa to\n ku/klon.</foreign></s> |
| | <s id="g0120707"><foreign lang="el">o(/tan me\n ou)=n e)n lo/gw| <lb/>tini\ fe/rhtai, e)p' eu)qei/as a)na/gkh fe/resqai to\ fero/menon, <lb/>kai\ gi/netai dia/metros au)th\ tou= sxh/matos o(\ poiou=sin ai( <lb/>e)n tou/tw| tw=| lo/gw| sunteqei=sai grammai/.</foreign></s> |
| | <s id="g0120708"><foreign lang="el">e)/stw ga\r o( lo/gos <lb/>o(\n fe/retai to\ fero/menon, o(\n e)/xei h( *a*b, pro\s th\n *a*g, <lb/>kai\ to\ me\n *a*g fere/sqw pro\s to\ *b, h( de\ *a*b u(pofere/sqw <lb/>pro\s th\n *h*g: e)nhne/xqw de\ to\ me\n *a pro\s to\ *d, h( de\ e)f' <lb/>h(=| *a*b pro\s to\ *e. </foreign></s> |
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| <s id="id.000585"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="g0120708a"><foreign lang="el">ou)kou=n e)pi\ th=s fora=s o( lo/gos h)=n, o(\n h( <lb/>*a*b e)/xei pro\s th\n *a*g, a)na/gkh kai\ th\n *a*d, pro\s th\n <lb/>*a*e, tou=ton e)/xein to\n lo/gon, o(/moion a)/ra e)sti\ tw=| lo/gw| to\ <lb/>mikro\n tetra/pleuron tw=| mei/zoni, w(/ste kai\ h( au)th\ dia/metros <lb/>au)tw=n, kai\ to\ *a e)/stai pro\s to\ *z.</foreign></s> |
| | <s id="g0120801"><foreign lang="el">to\n au)to\n dh\ tro/pon <lb/>deixqh/setai ka)\n o(pouou=n dialhfqh=| h( fora/: ai)ei\ ga\r <lb/>e)/stai e)pi\ th=s diame/trou.</foreign></s> |
| | <s id="g0120802"><foreign lang="el">fanero\n ou)=n o(/ti to\ kata\ th\n dia/metron <lb/>fero/menon e)n du/o forai=s, a)na/gkh to\n tw=n pleurw=n <lb/>fe/resqai lo/gon.</foreign></s></p><p type="main"> |
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| <s id="id.000586">Horum vero cau&longs;a e&longs;t, <lb/>quod recta de&longs;cribens <expan abbr="cir-culũ">cir­<lb/>culum</expan> <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas latio­<lb/>nes fertur. </s> | <s id="id.000586">Horum vero cau&longs;a e&longs;t, <lb/>quod recta de&longs;cribens <expan abbr="cir­culũ">cir­<lb/>culum</expan> <expan abbr="&longs;ecundũ">&longs;ecundum</expan> duas latio­<lb/>nes fertur. </s> |
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| <s id="id.000587"><expan abbr="Cũ">Cum</expan> igitur in ali­<lb/>qua ratione du&ecedil; <expan abbr="sũt">sunt</expan> illæ la­<lb/>tiones, nece&longs;&longs;e e&longs;t id, quod <lb/>fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> ferri, <lb/>quæ fit diameter figuræ, <lb/><expan abbr="quã">quam</expan> rectæ in ea ratione <expan abbr="cõ-&longs;titutæ">con­<lb/>&longs;titutæ</expan>, <expan abbr="cõprehendunt">comprehendunt</expan>. </s> | <s id="id.000587"><expan abbr="Cũ">Cum</expan> igitur in ali­<lb/>qua ratione du&ecedil; <expan abbr="sũt">sunt</expan> illæ la­<lb/>tiones, nece&longs;&longs;e e&longs;t id, quod <lb/>fertur <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> ferri, <lb/>quæ fit diameter figuræ, <lb/><expan abbr="quã">quam</expan> rectæ in ea ratione <expan abbr="cõ­&longs;titutæ">con­<lb/>&longs;titutæ</expan>, <expan abbr="cõprehendunt">comprehendunt</expan>. </s> |
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| <s id="id.000588">Sit <lb/>enim ratio <expan abbr="&longs;ecundũ">&longs;ecundum</expan> quam <lb/>mobile fertur ea: quam ha­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.068.jpg" pagenum="29"/><foreign lang="greek"><gap/></foreign><lb/>bet <foreign lang="greek">a b</foreign> ad <foreign lang="greek">a g,</foreign> & quidem <lb/><foreign lang="greek">a</foreign> feratur ad <foreign lang="greek">b,</foreign> & <foreign lang="greek">a b</foreign><lb/>etiam feratur ad <foreign lang="greek">h g</foreign>: la­<lb/>tum vero &longs;it <foreign lang="greek">a</foreign> ad <foreign lang="greek">d,</foreign> & <lb/><foreign lang="greek">a b</foreign> ad <foreign lang="greek">e. </foreign>Igitur cum latio­<lb/>nis ratio erat ea quam ha­<lb/>bet <foreign lang="greek">a b</foreign> ad <foreign lang="greek">a g</foreign>: nece&longs;&longs;e <lb/>e&longs;t & ip&longs;am <foreign lang="greek">a d</foreign> ad <foreign lang="greek">a e</foreign> ean­<lb/>dem habere rationem. </s> | <s id="id.000588">Sit <lb/>enim ratio <expan abbr="&longs;ecundũ">&longs;ecundum</expan> quam <lb/>mobile fertur ea: quam ha­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.068.jpg" pagenum="29"/>bet <foreign lang="el">a b</foreign> ad <foreign lang="el">a g,</foreign> & quidem <lb/><foreign lang="el">a</foreign> feratur ad <foreign lang="el">b,</foreign> & <foreign lang="el">a b</foreign><lb/>etiam feratur ad <foreign lang="el">h g</foreign>: la­<lb/>tum vero &longs;it <foreign lang="el">a</foreign> ad <foreign lang="el">d,</foreign> & <lb/><foreign lang="el">a b</foreign> ad <foreign lang="el">e. </foreign>Igitur cum latio­<lb/>nis ratio erat ea quam ha­<lb/>bet <foreign lang="el">a b</foreign> ad <foreign lang="el">a g</foreign>: nece&longs;&longs;e <lb/>e&longs;t & ip&longs;am <foreign lang="el">a d</foreign> ad <foreign lang="el">a e</foreign> ean­<lb/>dem habere rationem. </s> |
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| <s id="id.000589">Si­<lb/>mile e&longs;t enim ratione par­<lb/>uum quadrilaterum maio­<lb/>ri. </s> | <s id="id.000589">Si­<lb/>mile e&longs;t enim ratione par­<lb/>uum quadrilaterum maio­<lb/>ri. </s> |
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| <s id="id.000590">Itaque & eadem diame­<lb/>ter vtriu&longs;que, & ip&longs;um <foreign lang="greek">a</foreign><lb/>erat vbi <foreign lang="greek">z. </foreign></s> | <s id="id.000590">Itaque & eadem diame­<lb/>ter vtriu&longs;que, & ip&longs;um <foreign lang="el">a</foreign><lb/>erat vbi <foreign lang="el">z. </foreign></s> |
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| <s>Eodem modo <lb/>demon&longs;trabitur <expan abbr="vbicũque">vbicunque</expan> <lb/>latio deprehen&longs;a fuerit. </s> | <s>Eodem modo <lb/>demon&longs;trabitur <expan abbr="vbicũque">vbicunque</expan> <lb/>latio deprehen&longs;a fuerit. </s> |
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| <s id="id.000591"><expan abbr="S&etilde;-per">Sem­<lb/>per</expan> enim &longs;upra diametrum <lb/>erit. </s> | <s id="id.000591"><expan abbr="S&etilde;­per">Sem­<lb/>per</expan> enim &longs;upra diametrum <lb/>erit. </s> |
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| <s id="id.000592">Manife&longs;tum igitur <lb/>quod latum <expan abbr="&longs;ecũdum">&longs;ecundum</expan> dia­<lb/>metrum duabus lationi­<lb/>bus nece&longs;&longs;e habet in ratio­<lb/>ne laterum ferri. </s></p><p type="head"> | <s id="id.000592">Manife&longs;tum igitur <lb/>quod latum <expan abbr="&longs;ecũdum">&longs;ecundum</expan> dia­<lb/>metrum duabus lationi­<lb/>bus nece&longs;&longs;e habet in ratio­<lb/>ne laterum ferri. </s></p><p type="head"> |
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| <s id="id.000604">Propo&longs;itio confirmatur cum &longs;equenti diagrammate. <lb/></s> | <s id="id.000604">Propo&longs;itio confirmatur cum &longs;equenti diagrammate. <lb/></s> |
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| <s id="id.000605">E&longs;to rectangulum<emph.end type="italics"/> <foreign lang="greek">a b h g</foreign> <emph type="italics"/>com­<emph.end type="italics"/><lb/><figure id="id.035.01.069.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.069.1.jpg"/><lb/><emph type="italics"/>prehen&longs;um &longs;ub rectis<emph.end type="italics"/> <foreign lang="greek">a b, a g,</foreign><lb/><emph type="italics"/>quæ &longs;int inter &longs;e in ratione, quam <lb/>duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>habent. <lb/></s> | <s id="id.000605">E&longs;to rectangulum<emph.end type="italics"/> <foreign lang="el">a b h g</foreign> <emph type="italics"/>com­<emph.end type="italics"/><lb/><figure id="id.035.01.069.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.069.1.jpg"/><lb/><emph type="italics"/>prehen&longs;um &longs;ub rectis<emph.end type="italics"/> <foreign lang="el">a b, a g,</foreign><lb/><emph type="italics"/>quæ &longs;int inter &longs;e in ratione, quam <lb/>duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>habent. <lb/></s> |
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| <s id="id.000606">Et intelligatur a latum ver&longs;us<emph.end type="italics"/><lb/><foreign lang="greek">b</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>& ver&longs;us<emph.end type="italics"/><lb/><foreign lang="greek">g</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="greek">e</foreign>: <emph type="italics"/>&longs;icque cum <lb/>lationum ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ratio &longs;it vt<emph.end type="italics"/><lb/><foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g,</foreign> <emph type="italics"/>ergo erit &<emph.end type="italics"/> <foreign lang="greek">a d</foreign><lb/><emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a e</foreign>: <emph type="italics"/>vt<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a y,</foreign> <emph type="italics"/>& rectrangulum minus<emph.end type="italics"/> <foreign lang="greek">a d z e</foreign> <emph type="italics"/>com­<lb/>munem angulum<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>cum maiori<emph.end type="italics"/> <foreign lang="greek">a b h g</foreign> <emph type="italics"/>habens & &longs;imile erit <lb/>def. 1. lib. 6. & proinde circa eandem dimentientem conuer&longs;. prop. <lb/>24. lib. 6. </s> | <s id="id.000606">Et intelligatur a latum ver&longs;us<emph.end type="italics"/><lb/><foreign lang="el">b</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="el">d,</foreign> <emph type="italics"/>& ver&longs;us<emph.end type="italics"/><lb/><foreign lang="el">g</foreign> <emph type="italics"/>perueni&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="el">e</foreign>: <emph type="italics"/>&longs;icque cum <lb/>lationum ip&longs;ius<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>ratio &longs;it vt<emph.end type="italics"/><lb/><foreign lang="el">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a g,</foreign> <emph type="italics"/>ergo erit &<emph.end type="italics"/> <foreign lang="el">a d</foreign><lb/><emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a e</foreign>: <emph type="italics"/>vt<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a y,</foreign> <emph type="italics"/>& rectrangulum minus<emph.end type="italics"/> <foreign lang="el">a d z e</foreign> <emph type="italics"/>com­<lb/>munem angulum<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>cum maiori<emph.end type="italics"/> <foreign lang="el">a b h g</foreign> <emph type="italics"/>habens & &longs;imile erit <lb/>def. 1. lib. 6. & proinde circa eandem dimentientem conuer&longs;. prop. <lb/>24. lib. 6. </s> |
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| <s><emph type="italics"/>Et &longs;ic<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>duabus &longs;uis &longs;ic lationibus latum erit in<emph.end type="italics"/> <foreign lang="greek">z,</foreign> <emph type="italics"/>vt vbi­<lb/>cumque lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&longs;i&longs;tentur, &longs;emper &longs;int &longs;upra diametrum<emph.end type="italics"/><lb/><foreign lang="greek">a h. </foreign><emph type="italics"/>&longs;iquidem lationes i&longs;tæ &longs;unt in ratione<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g. </foreign><emph type="italics"/>proinde <lb/>&longs;upra rectam, quia omnis diameter rectanguli recta e&longs;t. </s> | <s><emph type="italics"/>Et &longs;ic<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>duabus &longs;uis &longs;ic lationibus latum erit in<emph.end type="italics"/> <foreign lang="el">z,</foreign> <emph type="italics"/>vt vbi­<lb/>cumque lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>&longs;i&longs;tentur, &longs;emper &longs;int &longs;upra diametrum<emph.end type="italics"/><lb/><foreign lang="el">a h. </foreign><emph type="italics"/>&longs;iquidem lationes i&longs;tæ &longs;unt in ratione<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a g. </foreign><emph type="italics"/>proinde <lb/>&longs;upra rectam, quia omnis diameter rectanguli recta e&longs;t. </s> |
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| <s id="id.000609">Huic con­<lb/>&longs;entit quod à Proclo ex Gemino acceptum &longs;ic expo&longs;itum e&longs;t. </s> | <s id="id.000609">Huic con­<lb/>&longs;entit quod à Proclo ex Gemino acceptum &longs;ic expo&longs;itum e&longs;t. </s> |
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| <s id="id.000610">Si qua­<lb/>drangulum duo&longs;que motus qui æquali celeritate fiant, alterum qui­<lb/>dem per longitudinem: alterum vero per latitudinem intellexeris <lb/>dimetiens producetur recta exi&longs;tens linea, lib. 2. comm. in def. rectæ <lb/>lineæ. </s> | <s id="id.000610">Si qua­<lb/>drangulum duo&longs;que motus qui æquali celeritate fiant, alterum qui­<lb/>dem per longitudinem: alterum vero per latitudinem intellexeris <lb/>dimetiens producetur recta exi&longs;tens linea, lib. 2. comm. in def. rectæ <lb/>lineæ. </s> |
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| <s id="id.000612">Nunc igitur ponatur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>extremum radij duabus lationibus <lb/>de&longs;cribere circulum non digrediens à recta producere rectam, quod <lb/>e&longs;t contra naturam circuli. </s> | <s id="id.000612">Nunc igitur ponatur<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>extremum radij duabus lationibus <lb/>de&longs;cribere circulum non digrediens à recta producere rectam, quod <lb/>e&longs;t contra naturam circuli. </s> |
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| <s id="id.000613">Non igitur duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ferun­<lb/>tur in ratione<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g. </foreign><emph type="italics"/>Sed hîc obiici pote&longs;t quod Sol motu pri­<lb/>mi mobilis mouetur ab Oriente in Occidentem in 24. horis, & motu <lb/>proprio ab Occidente in Orientem in aliquo tempore quantum e&longs;t <lb/>quod re&longs;pondet æquatori coa&longs;cendenti cum 59'. 8". Eclypticæ. </s> | <s id="id.000613">Non igitur duæ lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>ferun­<lb/>tur in ratione<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a g. </foreign><emph type="italics"/>Sed hîc obiici pote&longs;t quod Sol motu pri­<lb/>mi mobilis mouetur ab Oriente in Occidentem in 24. horis, & motu <lb/>proprio ab Occidente in Orientem in aliquo tempore quantum e&longs;t <lb/>quod re&longs;pondet æquatori coa&longs;cendenti cum 59'. 8". Eclypticæ. </s> |
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| <s id="id.000614">Et &longs;ic <lb/>eius duæ lationes &longs;unt in ratione aliqua, nec tamen Sol fertur &longs;ecun­<lb/>dum rectam &longs;ed <expan abbr="&longs;ecundũ">&longs;ecundum</expan> arcum Eclypticæ. </s> | <s id="id.000614">Et &longs;ic <lb/>eius duæ lationes &longs;unt in ratione aliqua, nec tamen Sol fertur &longs;ecun­<lb/>dum rectam &longs;ed <expan abbr="&longs;ecundũ">&longs;ecundum</expan> arcum Eclypticæ. </s> |
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| <s id="id.000616">Et &longs;it manebit demon&longs;tratio. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000616">Et &longs;it manebit demon&longs;tratio. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000617">Simile e&longs;t enim.] <foreign lang="greek">tw= lo/gw,</foreign> <emph type="italics"/>id e&longs;t ratione, redundat quia quæ <lb/>&longs;imilia &longs;unt quadrangula, habent latera, quæ circum æquales angu­<lb/>los propertionalia, ex def. 1. lib. 6. elem. <emph.end type="italics"/></s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/><chap><p type="main"> | <s id="id.000617">Simile e&longs;t enim.] <foreign lang="el">tw= lo/gw,</foreign> <emph type="italics"/>id e&longs;t ratione, redundat quia quæ <lb/>&longs;imilia &longs;unt quadrangula, habent latera, quæ circum æquales angu­<lb/>los propertionalia, ex def. 1. lib. 6. elem. <emph.end type="italics"/></s></p></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/><subchap1><p type="main"> |
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| <s id="id.000619"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000619"><foreign lang="el">ei) ga\r a)/llon tina/, ou)k oi)sqh/setai kata\ <lb/>th\n dia/metron.</foreign></s> |
| | <s id="g0120804"><foreign lang="el">e)a\n de\ e)n mhdeni\ lo/gw| fe/rhtai du/o fora\s <lb/>kata\ mhde/na xro/non, a)du/naton eu)qei=an ei)=nai th\n fora/n.</foreign></s> |
| | <s id="g0120805"><foreign lang="el"><lb/>e)/stw ga\r eu)qei=a.</foreign></s> |
| | <s id="g0120806"><foreign lang="el">teqei/shs ou)=n tau/ths diame/trou, kai\ paraplhrwqeisw=n <lb/>tw=n pleurw=n, a)na/gkh to\n tw=n pleurw=n lo/gon <lb/>fe/resqai to\ fero/menon: tou=to ga\r de/deiktai pro/teron.</foreign></s> |
| | <s id="g0120807"><foreign lang="el">ou)k <lb/>a)/ra poih/sei eu)qei=an to\ e)n mhdeni\ lo/gw| fero/menon mhde/na <lb/>xro/non.</foreign></s> |
| | <s id="g0120808"><foreign lang="el">e)a\n ga/r tina lo/gon e)nexqh=| e)n xro/nw| tini/, tou=ton <lb/>a)na/gkh to\n xro/non eu)qei=an ei)=nai fora\n dia\ ta\ proeirhme/na.</foreign></s> |
| | <s id="g0120809"><foreign lang="el"><lb/>w(/ste perifere\s gi/netai, du/o fero/menon fora\s e)n mhqeni\ <lb/>lo/gw| mhqe/na xro/non.</foreign></s></p><p type="main"> |
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| <s id="id.000620">Si enim in alia aliqua, <lb/>non feretur <expan abbr="&longs;ecũdum">&longs;ecundum</expan> dia­<lb/>metrum. </s> | <s id="id.000620">Si enim in alia aliqua, <lb/>non feretur <expan abbr="&longs;ecũdum">&longs;ecundum</expan> dia­<lb/>metrum. </s> |
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| <s id="id.000624">Non igi­<lb/>tur &longs;ecundum rectam pro­<lb/>gredietur, id quod fertur <lb/>in nulla ratione, nulloque <lb/>in tempore. </s> | <s id="id.000624">Non igi­<lb/>tur &longs;ecundum rectam pro­<lb/>gredietur, id quod fertur <lb/>in nulla ratione, nulloque <lb/>in tempore. </s> |
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| <s>[Si enim <expan abbr="&longs;e-cũdum">&longs;e­<lb/>cundum</expan> rationem aliquam <lb/>latum &longs;it in aliquo tempo­<lb/>re, nece&longs;&longs;e e&longs;t illud tempus <lb/>rectam e&longs;&longs;e lationem, pro­<lb/>pter ea quæ ante dicta &longs;unt.] </s> | <s>[Si enim <expan abbr="&longs;e­cũdum">&longs;e­<lb/>cundum</expan> rationem aliquam <lb/>latum &longs;it in aliquo tempo­<lb/>re, nece&longs;&longs;e e&longs;t illud tempus <lb/>rectam e&longs;&longs;e lationem, pro­<lb/>pter ea quæ ante dicta &longs;unt.] </s> |
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| <s>Itaque circulare e&longs;t quod <lb/>&longs;ecundum duas lationes latum e&longs;t in nulla ratione nullo <lb/>in tempore. </s></p><p type="head"> | <s>Itaque circulare e&longs;t quod <lb/>&longs;ecundum duas lationes latum e&longs;t in nulla ratione nullo <lb/>in tempore. </s></p><p type="head"> |
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| <s id="id.000625">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000625">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000626">Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i exempli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="id.035.01.070.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.070.1.jpg"/><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame­<lb/>trum<emph.end type="italics"/> <foreign lang="greek">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, quæ erit diameter <lb/>figuræ à lateribus alterius rationis <lb/>con&longs;titutæ, vt e&longs;t in præ&longs;enti dia­<lb/>grammate<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="greek">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i. <emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.071.jpg" pagenum="32"/><p type="main"> | <s id="id.000626">Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i exempli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="id.035.01.070.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.070.1.jpg"/><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame­<lb/>trum<emph.end type="italics"/> <foreign lang="el">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, quæ erit diameter <lb/>figuræ à lateribus alterius rationis <lb/>con&longs;titutæ, vt e&longs;t in præ&longs;enti dia­<lb/>grammate<emph.end type="italics"/> <foreign lang="el">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="el">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i. <emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.071.jpg" pagenum="32"/><p type="main"> |
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| <s id="id.000627">Si vero mobilis.] <emph type="italics"/>Conclu&longs;io e&longs;t confirmata reiterato propo&longs;i­<lb/>tionis præcedentis pro&longs;yllogi&longs;mo, &longs;ic. </s> | <s id="id.000627">Si vero mobilis.] <emph type="italics"/>Conclu&longs;io e&longs;t confirmata reiterato propo&longs;i­<lb/>tionis præcedentis pro&longs;yllogi&longs;mo, &longs;ic. </s> |
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| <s id="id.000641">quantitas enim motus vnius mul­<lb/>tiplicata, alterius vicißim quantitatem &longs;uperare pote&longs;t. </s> | <s id="id.000641">quantitas enim motus vnius mul­<lb/>tiplicata, alterius vicißim quantitatem &longs;uperare pote&longs;t. </s> |
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| <s id="id.000642">Dicimus <lb/>ergo quod ad hoc po&longs;terius attinet, rationem illas habere: &longs;ed<emph.end type="italics"/> <foreign lang="greek">a)/r)r(hton,</foreign><lb/><emph type="italics"/>& non &longs;olum indicibilem, quod numeris exprimi nequeat: &longs;ed & <lb/>quod rectis lineis geometricè id e&longs;t exactè, exprimi non poßit, qualis <lb/>non e&longs;t inter duas lationes è quibus recta creatur, cum hæc &longs;i nume­<lb/>ris non poßit exprimi, at rectis lineis &longs;altem geometricè exprimitur. <lb/></s> | <s id="id.000642">Dicimus <lb/>ergo quod ad hoc po&longs;terius attinet, rationem illas habere: &longs;ed<emph.end type="italics"/> <foreign lang="el">a)/r)r(hton,</foreign><lb/><emph type="italics"/>& non &longs;olum indicibilem, quod numeris exprimi nequeat: &longs;ed & <lb/>quod rectis lineis geometricè id e&longs;t exactè, exprimi non poßit, qualis <lb/>non e&longs;t inter duas lationes è quibus recta creatur, cum hæc &longs;i nume­<lb/>ris non poßit exprimi, at rectis lineis &longs;altem geometricè exprimitur. <lb/></s> |
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| <s id="id.000643">vt cum duarum rectarum, quæ parallelogrammum con&longs;tituunt, vna <lb/>e&longs;t latus quadrati alicuius, altera e&longs;t eius diameter. </s> | <s id="id.000643">vt cum duarum rectarum, quæ parallelogrammum con&longs;tituunt, vna <lb/>e&longs;t latus quadrati alicuius, altera e&longs;t eius diameter. </s> |
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| <s id="id.000644">Tunc enim ratio <lb/>e&longs;t rectis illis licet incommen&longs;erabilibus prop. 116. lib. 10. expre&longs;&longs;a. <lb/></s> | <s id="id.000644">Tunc enim ratio <lb/>e&longs;t rectis illis licet incommen&longs;erabilibus prop. 116. lib. 10. expre&longs;&longs;a. <lb/></s> |
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| <s id="id.000645">At hîc vt inter peripheriam & diametrum &longs;it aliqua ratio, veluti <lb/>inter arcum & &longs;ubtendentem: hæc tamen neque numeris exprimi <lb/>pote&longs;t, nec rectis lineis Geometrice vt videre e&longs;t ex Archimede <lb/>lib. <emph.end type="italics"/> <foreign lang="greek">peri\ metrh/s. kuk,</foreign><emph type="italics"/>& Ptol. lib. 1. <emph.end type="italics"/> <foreign lang="greek">me/gal. sunt. </foreign><emph type="italics"/>quod autem ad <lb/>prius attinet in lationibus illis tempus admittitur, &longs;ed hoc e&longs;t eiu&longs;mo­<lb/>di, vt nullum eius detur in&longs;tans, quo vna latio fiat, quo etiam non <lb/>& altera itidem fiat: quod prioribus licet commune e&longs;&longs;e poßit: pro­<lb/>pter tamen laterum inæqualitatem vbi in æqualia dantur, non ita <lb/>&longs;implex & indiui&longs;ibile e&longs;t. </s> | <s id="id.000645">At hîc vt inter peripheriam & diametrum &longs;it aliqua ratio, veluti <lb/>inter arcum & &longs;ubtendentem: hæc tamen neque numeris exprimi <lb/>pote&longs;t, nec rectis lineis Geometrice vt videre e&longs;t ex Archimede <lb/>lib. <emph.end type="italics"/> <foreign lang="el">peri\ metrh/s. kuk,</foreign><emph type="italics"/>& Ptol. lib. 1. <emph.end type="italics"/> <foreign lang="el">me/gal. sunt. </foreign><emph type="italics"/>quod autem ad <lb/>prius attinet in lationibus illis tempus admittitur, &longs;ed hoc e&longs;t eiu&longs;mo­<lb/>di, vt nullum eius detur in&longs;tans, quo vna latio fiat, quo etiam non <lb/>& altera itidem fiat: quod prioribus licet commune e&longs;&longs;e poßit: pro­<lb/>pter tamen laterum inæqualitatem vbi in æqualia dantur, non ita <lb/>&longs;implex & indiui&longs;ibile e&longs;t. </s> |
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| <s id="id.000648">Cæterum duas has motiones facile ani­<lb/>mo concipiet, qui viderit pueros no&longs;trates &longs;ub medio vere, quo genus <lb/>hoc in&longs;ecti in ro&longs;arijs no&longs;tris abundat, captam vnam grandiorem <lb/>mu&longs;cam viridem Cathelinam ip&longs;i vocant, pede adfuniculum alliga­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.072.jpg" pagenum="33"/><emph type="italics"/>tam permittere volare: ita tamen vt digitis alterum extremum funi­<lb/>culi retineant. </s> | <s id="id.000648">Cæterum duas has motiones facile ani­<lb/>mo concipiet, qui viderit pueros no&longs;trates &longs;ub medio vere, quo genus <lb/>hoc in&longs;ecti in ro&longs;arijs no&longs;tris abundat, captam vnam grandiorem <lb/>mu&longs;cam viridem Cathelinam ip&longs;i vocant, pede adfuniculum alliga­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.072.jpg" pagenum="33"/><emph type="italics"/>tam permittere volare: ita tamen vt digitis alterum extremum funi­<lb/>culi retineant. </s> |
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| <s id="id.000655">Præterea nulla <lb/>harum &longs;implex e&longs;t linea. </s> | <s id="id.000655">Præterea nulla <lb/>harum &longs;implex e&longs;t linea. </s> |
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| <s id="id.000656">Agitur hîc autem de &longs;implicibus tantum, <lb/>quæ vno &longs;implici motu, vel &longs;i duobus, ijs &longs;imilibus creantur, & &longs;i­<lb/>milares &longs;unt: quales cum duæ tantum &longs;int recta &longs;cilicet & circula­<lb/>ris, inde bene inferetur è po&longs;ita &longs;implicè &longs;i recta non e&longs;t, e&longs;&longs;e cir­<lb/>cularis. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000656">Agitur hîc autem de &longs;implicibus tantum, <lb/>quæ vno &longs;implici motu, vel &longs;i duobus, ijs &longs;imilibus creantur, & &longs;i­<lb/>milares &longs;unt: quales cum duæ tantum &longs;int recta &longs;cilicet & circula­<lb/>ris, inde bene inferetur è po&longs;ita &longs;implicè &longs;i recta non e&longs;t, e&longs;&longs;e cir­<lb/>cularis. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000657"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000657"><foreign lang="el">o(/ti me\n toi/nun h( to\n ku/klon gra/fousa <lb/>fe/retai du/o fora\s a(/ma, fanero\n e)/k te tou/twn, <lb/>kai\ o(/ti to\ fero/menon kat' eu)qei=an e)pi\ th\n ka/qeton a)fi­<lb/>knei=tai, w(/ste ei)=nai pa/lin au)th\n a)po\ tou= ke/ntrou ka/qeton.</foreign></s> |
| | <s id="g0121001"><foreign lang="el"><lb/>e)/stw ku/klos o( *a*b*g, to\ d' a)/kron to\ e)f' ou(= *b, fere/sqw <lb/>e)pi\ to\ *d: a)fiknei=tai de/ pote e)pi\ to\ *g.</foreign></s> |
| | <s id="g0121002"><foreign lang="el">ei) me\n ou)=n e)n tw=| <lb/>lo/gw| e)fe/reto o(\n e)/xei h( *b*d, pro\s th\n *d*g, e)fe/reto a)\n <lb/>th\n dia/metron th\n e)f' h(=| *b*g.</foreign></s> |
| | <s id="g0121003"><foreign lang="el">nu=n de/, e)pei/per e)n ou)deni\ <lb/>lo/gw|, e)pi\ th\n perife/reian fe/retai th\n e)f' h(=| *b e *g.</foreign></s></p><p type="main"> |
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| <s id="id.000658">Quod vero recta <expan abbr="de&longs;cri-b&etilde;s">de&longs;cri­<lb/>bens</expan> circulum duabus &longs;imul <lb/>lationibus feratur, <expan abbr="cũ">cum</expan> ex his <lb/>e&longs;t <expan abbr="manife&longs;tũ">manife&longs;tum</expan>, <expan abbr="tũ">tum</expan> quod lata <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> fieret num­<lb/>quam perpendicularis. </s> | <s id="id.000658">Quod vero recta <expan abbr="de&longs;cri­b&etilde;s">de&longs;cri­<lb/>bens</expan> circulum duabus &longs;imul <lb/>lationibus feratur, <expan abbr="cũ">cum</expan> ex his <lb/>e&longs;t <expan abbr="manife&longs;tũ">manife&longs;tum</expan>, <expan abbr="tũ">tum</expan> quod lata <lb/><expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="rectã">rectam</expan> fieret num­<lb/>quam perpendicularis. </s> |
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| <s id="id.000659">Et <lb/>fieri à <expan abbr="c&etilde;tro">centro</expan> <expan abbr="perpendicula-r&etilde;">perpendicula­<lb/>rem</expan> [<expan abbr="demõ&longs;trem">demon&longs;trem</expan>us]. </s> | <s id="id.000659">Et <lb/>fieri à <expan abbr="c&etilde;tro">centro</expan> <expan abbr="perpendicula­r&etilde;">perpendicula­<lb/>rem</expan> [<expan abbr="demõ&longs;trem">demon&longs;trem</expan>us]. </s> |
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| <s>Sit circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.073.jpg" pagenum="34"/><foreign lang="greek">b</foreign><lb/>lus <foreign lang="greek">a b g,</foreign> & extremum <foreign lang="greek">b</foreign><lb/>feratur ad <foreign lang="greek">d,</foreign> perueniet &longs;a­<lb/>ne aliquando ad <foreign lang="greek">g. </foreign></s> | <s>Sit circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.073.jpg" pagenum="34"/><foreign lang="el">b</foreign><lb/>lus <foreign lang="el">a b g,</foreign> & extremum <foreign lang="el">b</foreign><lb/>feratur ad <foreign lang="el">d,</foreign> perueniet &longs;a­<lb/>ne aliquando ad <foreign lang="el">g. </foreign></s> |
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| <s>[Si igi­<lb/>tur ferebatur in ratione <lb/>quam habet <foreign lang="greek">b e</foreign> ad <foreign lang="greek">e g,</foreign> fe­<lb/>rebatur &longs;ecundum diame­<lb/>trum <foreign lang="greek">b g</foreign>: At nunc cum in <lb/>nulla ratione feratur, &longs;e­<lb/>cundum peripheriam <foreign lang="greek">b e g</foreign><lb/>feretur.]</s></p><p type="head"> | <s>[Si igi­<lb/>tur ferebatur in ratione <lb/>quam habet <foreign lang="el">b e</foreign> ad <foreign lang="el">e g,</foreign> fe­<lb/>rebatur &longs;ecundum diame­<lb/>trum <foreign lang="el">b g</foreign>: At nunc cum in <lb/>nulla ratione feratur, &longs;e­<lb/>cundum peripheriam <foreign lang="el">b e g</foreign><lb/>feretur.]</s></p><p type="head"> |
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| <s id="id.000660">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000660">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000664">Idem radius à diametro cir­<emph.end type="italics"/><lb/><figure id="id.035.01.073.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.073.1.jpg"/><lb/><emph type="italics"/>culi digrediens in tran&longs;itu ab vna &longs;emidia­<lb/>metro ad alteram numquam con&longs;equeretur <lb/>cum &longs;itum, per quem ip&longs;i à centro perpen­<lb/>dicularis e&longs;&longs;et. </s> | <s id="id.000664">Idem radius à diametro cir­<emph.end type="italics"/><lb/><figure id="id.035.01.073.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.073.1.jpg"/><lb/><emph type="italics"/>culi digrediens in tran&longs;itu ab vna &longs;emidia­<lb/>metro ad alteram numquam con&longs;equeretur <lb/>cum &longs;itum, per quem ip&longs;i à centro perpen­<lb/>dicularis e&longs;&longs;et. </s> |
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| <s id="id.000665">Con&longs;equitur autem vt cum <lb/>e&longs;t in L<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>diagrammatis hic de&longs;cri­<lb/>pti. </s> | <s id="id.000665">Con&longs;equitur autem vt cum <lb/>e&longs;t in L<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>diagrammatis hic de&longs;cri­<lb/>pti. </s> |
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| <s id="id.000666">Non igitur vna latione tantum fer­<lb/>tur: fertur ergo pluribus. </s> | <s id="id.000666">Non igitur vna latione tantum fer­<lb/>tur: fertur ergo pluribus. </s> |
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| <s id="id.000667">Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, & ab&longs;ce­<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror­<emph.end type="italics"/><lb/><figure id="id.035.01.073.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.073.2.jpg"/><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage­<lb/>tur longius, quam æqualitas di&longs;tantiæ vndi­<lb/>que à centro &longs;eruandæ permittit, vt idem<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ver&longs;us L. </s> | <s id="id.000667">Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, & ab&longs;ce­<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror­<emph.end type="italics"/><lb/><figure id="id.035.01.073.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.073.2.jpg"/><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage­<lb/>tur longius, quam æqualitas di&longs;tantiæ vndi­<lb/>que à centro &longs;eruandæ permittit, vt idem<emph.end type="italics"/> <foreign lang="el">b</foreign><lb/><emph type="italics"/>ver&longs;us L. </s> |
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| <s id="id.000668">Vtraque autem hæc latio quanta &longs;it <lb/>men&longs;uratur lineis rectis, quarum altera in po&longs;te­<lb/>riore diagrammate e&longs;t &longs;inus rectus<emph.end type="italics"/> <foreign lang="greek">g e,</foreign> <emph type="italics"/>altera <lb/>verò e&longs;t &longs;inus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b g. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.074.jpg" pagenum="35"/><p type="main"> | <s id="id.000668">Vtraque autem hæc latio quanta &longs;it <lb/>men&longs;uratur lineis rectis, quarum altera in po&longs;te­<lb/>riore diagrammate e&longs;t &longs;inus rectus<emph.end type="italics"/> <foreign lang="el">g e,</foreign> <emph type="italics"/>altera <lb/>verò e&longs;t &longs;inus ver&longs;us<emph.end type="italics"/> <foreign lang="el">b g. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.074.jpg" pagenum="35"/><p type="main"> |
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| <s id="id.000669">Demon&longs;tremus.] <emph type="italics"/>Dee&longs;t hoc vocabulum in Græco &longs;ine quo <lb/>&longs;en&longs;us e&longs;t imperfectus. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000669">Demon&longs;tremus.] <emph type="italics"/>Dee&longs;t hoc vocabulum in Græco &longs;ine quo <lb/>&longs;en&longs;us e&longs;t imperfectus. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000670">Si igitur ferebatur.] <emph type="italics"/>Rur&longs;us totum hunc textum his notis <lb/>[ ] interclu&longs;um inaniter repeti arbitramur. </s> | <s id="id.000670">Si igitur ferebatur.] <emph type="italics"/>Rur&longs;us totum hunc textum his notis <lb/>[ ] interclu&longs;um inaniter repeti arbitramur. </s> |
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| <s id="id.000671">hoc enim e&longs;t quod an­<lb/>tea e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000671">hoc enim e&longs;t quod an­<lb/>tea e&longs;t demon&longs;tratum. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000672"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000672"><foreign lang="el">e)a\n <lb/>de\ duoi=n ferome/noin a)po\ th=s au)th=s i)sxu/os, to\ me\n e)kkrou/oito <lb/>plei=on, to\ de\ e)/latton, eu)/logon bradu/teron kinhqh=nai <lb/>to\ plei=on e)kkrouo/menon tou= e)/latton e)kkrouome/nou, o(\ dokei= <lb/>sumbai/nein e)pi\ th=s mei/zonos kai\ e)la/ttonos, tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous.</foreign></s> |
| | <s id="g0121102"><foreign lang="el">dia\ ga\r to\ e)ggu/teron <lb/>ei)=nai tou= me/nontos th=s e)la/ttonos to\ a)/kron, h)\ to\ th=s mei/zonos, <lb/>w(/sper a)ntispw/menon ei)s tou)nanti/on, e)pi\ to\ me/son bradu/teron <lb/>fe/retai to\ th=s e)la/ttonos a)/kron.</foreign></s> |
| | <s id="g0121201"><foreign lang="el">pa/sh| me\n ou)=n <lb/>ku/klon grafou/sh| tou=to sumbai/nei.</foreign></s></p><p type="main"> |
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| <s id="id.000673">Si vero duorum eadem <lb/>vi latorum vnum plus re­<lb/>pellitur, alterum minus: <lb/>æquum e&longs;t, plus repul&longs;um, <lb/>altero minus repul&longs;o tar­<lb/>dius ferri. </s> | <s id="id.000673">Si vero duorum eadem <lb/>vi latorum vnum plus re­<lb/>pellitur, alterum minus: <lb/>æquum e&longs;t, plus repul&longs;um, <lb/>altero minus repul&longs;o tar­<lb/>dius ferri. </s> |
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| <s id="id.000687"><emph type="italics"/>Ergo extremum radij minoris mobile plus retrahetur retror­<lb/>&longs;um, & ab anteriori repelletur. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000687"><emph type="italics"/>Ergo extremum radij minoris mobile plus retrahetur retror­<lb/>&longs;um, & ab anteriori repelletur. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000688"><emph type="italics"/>Illu&longs;trari hæc <expan abbr="cõclu&longs;io">conclu&longs;io</expan> po&longs;&longs;et &longs;imilitudine ampli & latè patentis re­<lb/>gni, in cuius medio tanquam centro, cum rex præ&longs;ideat, partes me­<lb/>dio vicinæ regis legibus magis coarctantur & continentur: quam <lb/>remotæ. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000688"><emph type="italics"/>Illu&longs;trari hæc <expan abbr="cõclu&longs;io">conclu&longs;io</expan> po&longs;&longs;et &longs;imilitudine ampli & latè patentis re­<lb/>gni, in cuius medio tanquam centro, cum rex præ&longs;ideat, partes me­<lb/>dio vicinæ regis legibus magis coarctantur & continentur: quam <lb/>remotæ. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000689"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000689"><foreign lang="el">kai\ fe/retai th\n me\n <lb/>kata\ fu/sin, th\n de\ para\ fu/sin kata\ th\n perife/reian <lb/>ei)s to\ pla/gion kai\ to\ ke/ntron. mei/zw d' a)ei\ th\n para\ <lb/>fu/sin h( e)la/ttwn fe/retai: dia\ ga\r to\ e)ggu/teron ei)=nai tou= <lb/>ke/ntrou tou= a)ntispw=ntos, kratei=tai ma=llon.</foreign></s></p><p type="main"> |
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| <s id="id.000690">Et fertur motu <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <lb/>naturam per peripheriam: <lb/>præter <expan abbr="naturã">naturam</expan> vero in <expan abbr="trã&longs;-uer&longs;um">tran&longs;­<lb/>uer&longs;um</expan>, & centrum ver&longs;us. <lb/></s> | <s id="id.000690">Et fertur motu <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <lb/>naturam per peripheriam: <lb/>præter <expan abbr="naturã">naturam</expan> vero in <expan abbr="trã&longs;­uer&longs;um">tran&longs;­<lb/>uer&longs;um</expan>, & centrum ver&longs;us. <lb/></s> |
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| <s id="id.000691">Minor vero [linea] &longs;emper <lb/><expan abbr="maior&etilde;">maiorem</expan> motum habet eum, <lb/>qui præter <expan abbr="naturã">naturam</expan> e&longs;t. </s> | <s id="id.000691">Minor vero [linea] &longs;emper <lb/><expan abbr="maior&etilde;">maiorem</expan> motum habet eum, <lb/>qui præter <expan abbr="naturã">naturam</expan> e&longs;t. </s> |
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| <s id="id.000701">Tum qua forma rei acquiritur, qualis latio per circum­<lb/>ferentiam, cum hæc &longs;it circuli forma &longs;eu finis. </s> | <s id="id.000701">Tum qua forma rei acquiritur, qualis latio per circum­<lb/>ferentiam, cum hæc &longs;it circuli forma &longs;eu finis. </s> |
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| <s id="id.000702">Relinquitur ergo vt ea <lb/>&longs;it contra <expan abbr="naturã">naturam</expan> & per accidens, qua ad ip&longs;um centrum reuellitur. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000702">Relinquitur ergo vt ea <lb/>&longs;it contra <expan abbr="naturã">naturam</expan> & per accidens, qua ad ip&longs;um centrum reuellitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| | <s id="id.000703"><foreign lang="el">o(/ti de\ mei=zon <lb/>to\ para\ fu/sin kinei=tai h( e)la/ttwn th=s mei/zonos, tw=n e)k tou= <lb/>ke/ntrou grafousw=n tou\s ku/klous, e)k tw=nde dh=lon.</foreign></s> |
| | <s id="g0121302"><foreign lang="el">e)/stw <lb/>ku/klos e)f' *b*g*d*e, kai\ a)/llos e)n tou/tw| e)la/ttwn, <lb/>e)f' ou(= *x*n*m*c, peri\ to\ au)to\ ke/ntron to\ *a, kai\ e)kbeblh/sqwsan <lb/>ai( dia/metroi, e)n me\n tw=| mega/lw|, e)f' w(=n *g*d <lb/>kai\ *b*e, e)n de\ tw=| e)la/ttoni ai( *m*x *n*c: kai\ to\ e(tero/mhkes <lb/>parapeplhrw/sqw, to\ *d*y*r*g. </foreign></s> |
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| <s id="id.000703"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="g0121302a"><foreign lang="el">ei) dh\ h( *a*b gra/fousa <lb/>ku/klon h(/cei e)pi\ to\ au)to\ o(/qen w(rmh/qh e)pi\ th\n *a*e, dh­<lb/>lono/ti fe/retai pro\s au(th/n.</foreign></s> |
| | <s id="g0121303"><foreign lang="el">o(moi/ws de\ kai\ h( *a*x, pro\s th\n <lb/>*a*x h(/cei.</foreign></s> |
| | <s id="g0121304"><foreign lang="el">bradu/teron de\ fe/retai h( *a*x th=s *a*b, w(/sper <lb/>ei)/rhtai, dia\ to\ gi/nesqai mei/zona th\n e)/kkrousin, kai\ a)ntispa=sqai <lb/>ma=llon th\n *a*x.</foreign></s> |
| | <s id="g0121401"><foreign lang="el">h)/xqw de\ h( *a*q*h, kai\ a)po\ <lb/>tou= *q ka/qetos e)pi\ th\n *a*b h( *q*z e)n tw=| ku/klw|, kai\ pa/lin <lb/>a)po\ tou= *q h)/xqw para\ th\n *a*b h( *q*w, kai\ h( *w*u, <lb/>e)pi\ th\n *a*b ka/qeton, kai\ h( *h*k.</foreign></s> |
| | <s id="g0121402"><foreign lang="el">ai( dh\ e)f' w(=n *w*u kai\ <lb/>*q*z i)/sai. </foreign></s> |
| | <s id="g0121402a"><foreign lang="el">h( a)/ra *b*u e)la/ttwn th=s *x*z: ai( ga\r i)/sai <lb/>eu)qei=ai e)p' a)ni/sous ku/klous e)mblhqei=sai pro\s o)rqh=| th=| <lb/>diame/trw|, e)/latton tmh=ma a)pote/mnousi th=s diame/trou e)n <lb/>toi=s mei/zosi ku/klois.</foreign></s> |
| | <s id="g0121402b"><foreign lang="el">e)/sti de\ h( *w*u i)/sh th=| *q*z.</foreign></s> |
| | <s id="g0121404"><foreign lang="el">e)n o(/sw|<lb/> dh\ xro/nw| h( *a*q th\n *x*q e)nhne/xqh, e)n tosou/tw| xro/nw| e)n <lb/>tw=| ku/klw| tw=| mei/zoni, mh\ mei/zona th=s *b*w e)nh/nektai to\ a)/kron <lb/>th=s *b*a.</foreign></s> |
| | <s id="g0121501"><foreign lang="el">h( me\n ga\r kata\ fu/sin fora\, i)/sh: h( de\ para\ <lb/>fu/sin e)la/ttwn, h( *b*u, th=s *z*x.</foreign></s></p><p type="main"> |
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| <s id="id.000704">Quod vero minor plus <lb/>præter naturam moueatur: <lb/>quam maior earum, qu&ecedil; ex <lb/>centro <expan abbr="de&longs;cribũt">de&longs;cribunt</expan> circulos, <lb/>ex his erit manife&longs;tum. </s> | <s id="id.000704">Quod vero minor plus <lb/>præter naturam moueatur: <lb/>quam maior earum, qu&ecedil; ex <lb/>centro <expan abbr="de&longs;cribũt">de&longs;cribunt</expan> circulos, <lb/>ex his erit manife&longs;tum. </s> |
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| <s id="id.000705">Sit <lb/>circulus <foreign lang="greek">b g d e,</foreign> & alter <lb/>minor <foreign lang="greek">x n m c,</foreign> eiu&longs;dem <expan abbr="c&etilde;-tri">cen­<lb/>tri</expan> <foreign lang="greek">a,</foreign> Et traductæ &longs;int dia­<lb/>metri in magno quidem <lb/><foreign lang="greek">g d, & b e</foreign>: in minori <foreign lang="greek">m c & <lb/>x n</foreign>: atque alterolongum <lb/>compleatur <foreign lang="greek">d y r g. </foreign></s> | <s id="id.000705">Sit <lb/>circulus <foreign lang="el">b g d e,</foreign> & alter <lb/>minor <foreign lang="el">x n m c,</foreign> eiu&longs;dem <expan abbr="c&etilde;­tri">cen­<lb/>tri</expan> <foreign lang="el">a,</foreign> Et traductæ &longs;int dia­<lb/>metri in magno quidem <lb/><foreign lang="el">g d, & b e</foreign>: in minori <foreign lang="el">m c & <lb/>x n</foreign>: atque alterolongum <lb/>compleatur <foreign lang="el">d y r g. </foreign></s> |
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| <s>Si igi­<lb/>tur <foreign lang="greek">a b</foreign> de&longs;cribens <expan abbr="circulũ">circulum</expan> <lb/>perueniet ad id vnde mo­<lb/>ueri cœpit, manife&longs;tum e&longs;t <lb/>quod fertur ad ip&longs;am [<foreign lang="greek">a b</foreign>] <lb/>&longs;imiliter <foreign lang="greek">a x</foreign> perueniet ad <lb/>ip&longs;am <foreign lang="greek">a x. </foreign></s> | <s>Si igi­<lb/>tur <foreign lang="el">a b</foreign> de&longs;cribens <expan abbr="circulũ">circulum</expan> <lb/>perueniet ad id vnde mo­<lb/>ueri cœpit, manife&longs;tum e&longs;t <lb/>quod fertur ad ip&longs;am [<foreign lang="el">a b</foreign>] <lb/>&longs;imiliter <foreign lang="el">a x</foreign> perueniet ad <lb/>ip&longs;am <foreign lang="el">a x. </foreign></s> |
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| <s>Tardius autem <lb/>fertur <foreign lang="greek">a x</foreign>: quam <foreign lang="greek">a b,</foreign> vt <lb/><expan abbr="dictũ">dictum</expan> e&longs;t, propter maiorem <lb/><expan abbr="repul&longs;ion&etilde;">repul&longs;ionem</expan> & reuul&longs;ionem <lb/>ip&longs;ius <foreign lang="greek">a x. </foreign></s> | <s>Tardius autem <lb/>fertur <foreign lang="el">a x</foreign>: quam <foreign lang="el">a b,</foreign> vt <lb/><expan abbr="dictũ">dictum</expan> e&longs;t, propter maiorem <lb/><expan abbr="repul&longs;ion&etilde;">repul&longs;ionem</expan> & reuul&longs;ionem <lb/>ip&longs;ius <foreign lang="el">a x. </foreign></s> |
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| <s>Ducatur vero <lb/>recta <foreign lang="greek">a q h, & a q</foreign> excitetur <lb/>perpendicularis ad <foreign lang="greek">a b,</foreign> qu&ecedil; <lb/>&longs;it <foreign lang="greek">q z</foreign> in circulo [minori]. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.077.jpg" pagenum="38"/> | <s>Ducatur vero <lb/>recta <foreign lang="el">a q h, & a q</foreign> excitetur <lb/>perpendicularis ad <foreign lang="el">a b,</foreign> qu&ecedil; <lb/>&longs;it <foreign lang="el">q z</foreign> in circulo [minori]. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.077.jpg" pagenum="38"/> |
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| <s><foreign lang="greek"><gap/></foreign>Et rur&longs;us per <foreign lang="greek">q</foreign> ducatur pa­<lb/>rallela ip&longs;i <foreign lang="greek">a b</foreign> quæ &longs;it <foreign lang="greek">q w <lb/>& w n</foreign> perpendicularis ip&longs;i <lb/><foreign lang="greek">a b</foreign> tum & <foreign lang="greek">h k. </foreign></s> | <s>Et rur&longs;us per <foreign lang="el">q</foreign> ducatur pa­<lb/>rallela ip&longs;i <foreign lang="el">a b</foreign> quæ &longs;it <foreign lang="el">q w <lb/>& w n</foreign> perpendicularis ip&longs;i <lb/><foreign lang="el">a b</foreign> tum & <foreign lang="el">h k. </foreign></s> |
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| <s>Sunt vero <lb/><foreign lang="greek">w n & q z</foreign> æquales. </s> | <s>Sunt vero <lb/><foreign lang="el">w n & q z</foreign> æquales. </s> |
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| <s id="id.000706">Rur&longs;us <lb/><foreign lang="greek">b n</foreign> e&longs;t minor: quam <foreign lang="greek">x z. </foreign>In <lb/>circulis enim inæqualibus <lb/>rect&ecedil; &ecedil;quales ad rectos dia­<lb/>metro excitatæ, de diame­<lb/>tro circulorum maiorum <lb/><expan abbr="&longs;egmentũ">&longs;egmentum</expan> minus auferunt. <lb/></s> | <s id="id.000706">Rur&longs;us <lb/><foreign lang="el">b n</foreign> e&longs;t minor: quam <foreign lang="el">x z. </foreign>In <lb/>circulis enim inæqualibus <lb/>rect&ecedil; &ecedil;quales ad rectos dia­<lb/>metro excitatæ, de diame­<lb/>tro circulorum maiorum <lb/><expan abbr="&longs;egmentũ">&longs;egmentum</expan> minus auferunt. <lb/></s> |
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| <s id="id.000707">E&longs;t autem <foreign lang="greek">w n</foreign> æqualis ip&longs;i <lb/><foreign lang="greek">q z. </foreign>In quanto vero tempo­<lb/>re <foreign lang="greek">a x</foreign> peragrauit <foreign lang="greek">x q,</foreign> in <lb/><expan abbr="tãto">tanto</expan> in maiore circulo ex­<lb/>tremum <foreign lang="greek">a b</foreign> non maiorem <lb/><foreign lang="greek">b w</foreign> peragrauit (etenim <lb/>motus &longs;ecundum naturam <lb/>æqualis e&longs;&longs;et) præter na­<lb/>turam vero minor erat, nempe <foreign lang="greek">b n</foreign> quam <foreign lang="greek">x z. </foreign></s></p><p type="head"> | <s id="id.000707">E&longs;t autem <foreign lang="el">w n</foreign> æqualis ip&longs;i <lb/><foreign lang="el">q z. </foreign>In quanto vero tempo­<lb/>re <foreign lang="el">a x</foreign> peragrauit <foreign lang="el">x q,</foreign> in <lb/><expan abbr="tãto">tanto</expan> in maiore circulo ex­<lb/>tremum <foreign lang="el">a b</foreign> non maiorem <lb/><foreign lang="el">b w</foreign> peragrauit (etenim <lb/>motus &longs;ecundum naturam <lb/>æqualis e&longs;&longs;et) præter na­<lb/>turam vero minor erat, nempe <foreign lang="el">b n</foreign> quam <foreign lang="el">x z. </foreign></s></p><p type="head"> |
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| <s id="id.000708">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000708">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000709">Qvod vero minor.] <emph type="italics"/>Altera e&longs;t confirmatio &longs;ed<emph.end type="italics"/> <foreign lang="greek">grammikh\</foreign><lb/><emph type="italics"/>linearis a&longs;&longs;umptionis &longs;yllogi&longs;mi præcedentis. </s> | <s id="id.000709">Qvod vero minor.] <emph type="italics"/>Altera e&longs;t confirmatio &longs;ed<emph.end type="italics"/> <foreign lang="el">grammikh\</foreign><lb/><emph type="italics"/>linearis a&longs;&longs;umptionis &longs;yllogi&longs;mi præcedentis. </s> |
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| <s id="id.000710">Scilicet quod mi­<lb/>nor radius plus retrahatur ad centrum, quam maior. </s> | <s id="id.000710">Scilicet quod mi­<lb/>nor radius plus retrahatur ad centrum, quam maior. </s> |
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| <s id="id.000713">vt videre lice­<lb/>bit in diagrammate hic de&longs;cripto & &longs;uis rationibus nece&longs;&longs;arijs con­<lb/>firmato. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000713">vt videre lice­<lb/>bit in diagrammate hic de&longs;cripto & &longs;uis rationibus nece&longs;&longs;arijs con­<lb/>firmato. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000714"><emph type="italics"/>Sint duo circuli concentrici maior<emph.end type="italics"/> <foreign lang="greek">b d e y,</foreign> <emph type="italics"/>minor<emph.end type="italics"/> <foreign lang="greek">x m n c</foreign> <emph type="italics"/>è cen­<lb/>tro a traiecti diametris<emph.end type="italics"/> <foreign lang="greek">x n & b e. </foreign></s></p><p type="main"> | <s id="id.000714"><emph type="italics"/>Sint duo circuli concentrici maior<emph.end type="italics"/> <foreign lang="el">b d e y,</foreign> <emph type="italics"/>minor<emph.end type="italics"/> <foreign lang="el">x m n c</foreign> <emph type="italics"/>è cen­<lb/>tro a traiecti diametris<emph.end type="italics"/> <foreign lang="el">x n & b e. </foreign></s></p><p type="main"> |
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| <s id="id.000715"><emph type="italics"/>A puncto<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ad punctum<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>ducatur recta<emph.end type="italics"/> <foreign lang="greek">a q,</foreign> <emph type="italics"/>& producatur in<emph.end type="italics"/><lb/><foreign lang="greek">h</foreign> <emph type="italics"/>&longs;itque<emph.end type="italics"/> <foreign lang="greek">a q h. </foreign></s></p><p type="main"> | <s id="id.000715"><emph type="italics"/>A puncto<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>ad punctum<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>ducatur recta<emph.end type="italics"/> <foreign lang="el">a q,</foreign> <emph type="italics"/>& producatur in<emph.end type="italics"/><lb/><foreign lang="el">h</foreign> <emph type="italics"/>&longs;itque<emph.end type="italics"/> <foreign lang="el">a q h. </foreign></s></p><p type="main"> |
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| <s id="id.000716"><emph type="italics"/>Tum à puncto<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>excitetur perpendicularis lineæ<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>prop. 12. <lb/>lib. 1. &longs;itque<emph.end type="italics"/> <foreign lang="greek">q z. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.078.jpg" pagenum="39"/><p type="main"> | <s id="id.000716"><emph type="italics"/>Tum à puncto<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>excitetur perpendicularis lineæ<emph.end type="italics"/> <foreign lang="el">a x</foreign> <emph type="italics"/>prop. 12. <lb/>lib. 1. &longs;itque<emph.end type="italics"/> <foreign lang="el">q z. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.078.jpg" pagenum="39"/><p type="main"> |
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| <s id="id.000717"><emph type="italics"/>Et per punctum<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>ducatur parallela rectæ<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>prop. 31. lib. 1. <lb/>quæ &longs;it<emph.end type="italics"/> <foreign lang="greek">q w. </foreign></s></p><figure id="id.035.01.078.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.078.1.jpg"/><p type="main"> | <s id="id.000717"><emph type="italics"/>Et per punctum<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>ducatur parallela rectæ<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>prop. 31. lib. 1. <lb/>quæ &longs;it<emph.end type="italics"/> <foreign lang="el">q w. </foreign></s></p><figure id="id.035.01.078.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.078.1.jpg"/><p type="main"> |
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| <s id="id.000718"><emph type="italics"/>Rur&longs;us à puncto<emph.end type="italics"/> <foreign lang="greek">w</foreign> <emph type="italics"/>excitetur perpendicularis lineæ<emph.end type="italics"/> <foreign lang="greek">a b,</foreign> <emph type="italics"/>&longs;itque<emph.end type="italics"/><lb/><foreign lang="greek">w n</foreign>: <emph type="italics"/>& &longs;ic parallelogrammum erit<emph.end type="italics"/> <foreign lang="greek">w n z q</foreign> <emph type="italics"/>ex def. </s> | <s id="id.000718"><emph type="italics"/>Rur&longs;us à puncto<emph.end type="italics"/> <foreign lang="el">w</foreign> <emph type="italics"/>excitetur perpendicularis lineæ<emph.end type="italics"/> <foreign lang="el">a b,</foreign> <emph type="italics"/>&longs;itque<emph.end type="italics"/><lb/><foreign lang="el">w n</foreign>: <emph type="italics"/>& &longs;ic parallelogrammum erit<emph.end type="italics"/> <foreign lang="el">w n z q</foreign> <emph type="italics"/>ex def. </s> |
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| <s id="id.000719">parallelog. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000719">parallelog. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000720"><emph type="italics"/>Sicque<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>motum ad<emph.end type="italics"/> <foreign lang="greek">w</foreign> <emph type="italics"/>tantum confecit &longs;patij &longs;ecundum natu­<lb/>ram, quam<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/>motum ad<emph.end type="italics"/> <foreign lang="greek">q</foreign>. </s> | <s id="id.000720"><emph type="italics"/>Sicque<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>motum ad<emph.end type="italics"/> <foreign lang="el">w</foreign> <emph type="italics"/>tantum confecit &longs;patij &longs;ecundum natu­<lb/>ram, quam<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/>motum ad<emph.end type="italics"/> <foreign lang="el">q</foreign>. </s> |
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| <s><emph type="italics"/>Spatia enim cum metiatur perpendicu­<lb/>laris, vtpote optima <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan>, quia minima, & &longs;ola regularis & nota. <lb/></s> | <s><emph type="italics"/>Spatia enim cum metiatur perpendicu­<lb/>laris, vtpote optima <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan>, quia minima, & &longs;ola regularis & nota. <lb/></s> |
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| <s id="id.000721">Sint autem<emph.end type="italics"/> <foreign lang="greek">w n, q z</foreign> <emph type="italics"/>perpendiculares ex fab. & æquales, quia late­<lb/>ra oppo&longs;ita in parallelogrammo<emph.end type="italics"/> <foreign lang="greek">w n z q</foreign> <emph type="italics"/>prop. 34. lib. 1. </s> | <s id="id.000721">Sint autem<emph.end type="italics"/> <foreign lang="el">w n, q z</foreign> <emph type="italics"/>perpendiculares ex fab. & æquales, quia late­<lb/>ra oppo&longs;ita in parallelogrammo<emph.end type="italics"/> <foreign lang="el">w n z q</foreign> <emph type="italics"/>prop. 34. lib. 1. </s> |
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| <s>Erant vtro­<lb/>bique &longs;patia<emph.end type="italics"/> <foreign lang="greek">b w & x q</foreign> <emph type="italics"/>æqualia. <emph.end type="italics"/></s></p><p type="main"> | <s>Erant vtro­<lb/>bique &longs;patia<emph.end type="italics"/> <foreign lang="el">b w & x q</foreign> <emph type="italics"/>æqualia. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000723"><foreign lang="greek">b n</foreign> <emph type="italics"/>vero eadem ratione metitur &longs;patium motus præter naturam <lb/>ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">b, & x z</foreign> <emph type="italics"/>ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">x. </foreign><emph type="italics"/>&longs;i igitur<emph.end type="italics"/> <foreign lang="greek">x z</foreign> (<emph type="italics"/>quod po&longs;tea demon&longs;tra­<lb/>bitur) maior &longs;it quam<emph.end type="italics"/> <foreign lang="greek">b n,</foreign> <emph type="italics"/>erit puncti<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/>motus præter naturam <lb/>maior in eodem &longs;patio motus naturalis: quam puncti<emph.end type="italics"/> <foreign lang="greek">b. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.079.jpg" pagenum="40"/><p type="main"> | <s id="id.000723"><foreign lang="el">b n</foreign> <emph type="italics"/>vero eadem ratione metitur &longs;patium motus præter naturam <lb/>ip&longs;ius<emph.end type="italics"/> <foreign lang="el">b, & x z</foreign> <emph type="italics"/>ip&longs;ius<emph.end type="italics"/> <foreign lang="el">x. </foreign><emph type="italics"/>&longs;i igitur<emph.end type="italics"/> <foreign lang="el">x z</foreign> (<emph type="italics"/>quod po&longs;tea demon&longs;tra­<lb/>bitur) maior &longs;it quam<emph.end type="italics"/> <foreign lang="el">b n,</foreign> <emph type="italics"/>erit puncti<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/>motus præter naturam <lb/>maior in eodem &longs;patio motus naturalis: quam puncti<emph.end type="italics"/> <foreign lang="el">b. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.079.jpg" pagenum="40"/><p type="main"> |
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| <s id="id.000724"><emph type="italics"/>Sed & &longs;i perficiantur parallelogramma<emph.end type="italics"/> <foreign lang="greek">d s t f & d y r g</foreign>: <lb/><emph type="italics"/>illud erit vtile ad o&longs;tendendum<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>tralatum vno motu v&longs;que ad<emph.end type="italics"/> <foreign lang="greek">s,</foreign><lb/><emph type="italics"/>altero motu, quo retrahitur ad centrum, reductum e&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="greek">t</foreign>: <emph type="italics"/>& <lb/>huius retractiones <expan abbr="men&longs;urã">men&longs;uram</expan> e&longs;&longs;e<emph.end type="italics"/> <foreign lang="greek">s t</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek">d f</foreign>: <emph type="italics"/>hoc vero vtile <expan abbr="etiã">etiam</expan> erit <lb/>ad terminandos motus illos duos <expan abbr="natural&etilde;">naturalem</expan>, &longs;cilicet & præter <expan abbr="naturã">naturam</expan>. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000724"><emph type="italics"/>Sed & &longs;i perficiantur parallelogramma<emph.end type="italics"/> <foreign lang="el">d s t f & d y r g</foreign>: <lb/><emph type="italics"/>illud erit vtile ad o&longs;tendendum<emph.end type="italics"/> <foreign lang="el">d</foreign> <emph type="italics"/>tralatum vno motu v&longs;que ad<emph.end type="italics"/> <foreign lang="el">s,</foreign><lb/><emph type="italics"/>altero motu, quo retrahitur ad centrum, reductum e&longs;&longs;e ad<emph.end type="italics"/> <foreign lang="el">t</foreign>: <emph type="italics"/>& <lb/>huius retractiones <expan abbr="men&longs;urã">men&longs;uram</expan> e&longs;&longs;e<emph.end type="italics"/> <foreign lang="el">s t</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="el">d f</foreign>: <emph type="italics"/>hoc vero vtile <expan abbr="etiã">etiam</expan> erit <lb/>ad terminandos motus illos duos <expan abbr="natural&etilde;">naturalem</expan>, &longs;cilicet & præter <expan abbr="naturã">naturam</expan>. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000725">Atque alterolongum.] <emph type="italics"/>Hoc <expan abbr="quadrilaterũ">quadrilaterum</expan> <expan abbr="oblongũ">oblongum</expan>, & rectan­<lb/>gulum compleri debui&longs;&longs;e dici pote&longs;t, vt rectus in eo motus appareat, <lb/>quem facturus radius fui&longs;&longs;et, ni&longs;i retraheretur in centrum: tum vt <lb/>terminet motus eos, qui &longs;unt &longs;ecundum naturam & præter naturam. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000725">Atque alterolongum.] <emph type="italics"/>Hoc <expan abbr="quadrilaterũ">quadrilaterum</expan> <expan abbr="oblongũ">oblongum</expan>, & rectan­<lb/>gulum compleri debui&longs;&longs;e dici pote&longs;t, vt rectus in eo motus appareat, <lb/>quem facturus radius fui&longs;&longs;et, ni&longs;i retraheretur in centrum: tum vt <lb/>terminet motus eos, qui &longs;unt &longs;ecundum naturam & præter naturam. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000726"><foreign lang="greek">a q h</foreign>] <emph type="italics"/><expan abbr="Punctũ">Punctum</expan><emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>vbi libet in peripheria accipitur ad de&longs;ignandum <lb/>quoduis <expan abbr="&longs;patiũ">&longs;patium</expan>, quod confecerit<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/><expan abbr="extremũ">extremum</expan> mobile minoris radij<emph.end type="italics"/> <foreign lang="greek">a x. </foreign></s></p><p type="main"> | <s id="id.000726"><foreign lang="el">a q h</foreign>] <emph type="italics"/><expan abbr="Punctũ">Punctum</expan><emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>vbi libet in peripheria accipitur ad de&longs;ignandum <lb/>quoduis <expan abbr="&longs;patiũ">&longs;patium</expan>, quod confecerit<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/><expan abbr="extremũ">extremum</expan> mobile minoris radij<emph.end type="italics"/> <foreign lang="el">a x. </foreign></s></p><p type="main"> |
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| <s id="id.000727">Et <foreign lang="greek">a q</foreign> excitetur.] <emph type="italics"/>A puncto<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>extra lineam<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>dato ex­<lb/>citatur in ip&longs;am perpendicularis, quæ e&longs;t<emph.end type="italics"/> <foreign lang="greek">q z</foreign> <emph type="italics"/>prop. 12. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000727">Et <foreign lang="el">a q</foreign> excitetur.] <emph type="italics"/>A puncto<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>extra lineam<emph.end type="italics"/> <foreign lang="el">a x</foreign> <emph type="italics"/>dato ex­<lb/>citatur in ip&longs;am perpendicularis, quæ e&longs;t<emph.end type="italics"/> <foreign lang="el">q z</foreign> <emph type="italics"/>prop. 12. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000728">Et rur&longs;us per <foreign lang="greek">q</foreign>] <emph type="italics"/>Per punctum<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>datum datæ rectæ<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>duci­<lb/>tur parallela prop. 31. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000728">Et rur&longs;us per <foreign lang="el">q</foreign>] <emph type="italics"/>Per punctum<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>datum datæ rectæ<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>duci­<lb/>tur parallela prop. 31. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000729">Et <foreign lang="greek">w n</foreign> perpend.] <emph type="italics"/>prop. 12. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000729">Et <foreign lang="el">w n</foreign> perpend.] <emph type="italics"/>prop. 12. lib. 1. elem. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000731">Sunt vero <foreign lang="greek">w n</foreign> &] <emph type="italics"/>Quia<emph.end type="italics"/> <foreign lang="greek">q w</foreign> <emph type="italics"/>parallela e&longs;t ip&longs;i<emph.end type="italics"/> <foreign lang="greek">z n</foreign> <emph type="italics"/>ex fabrica: <lb/>tùm<emph.end type="italics"/> <foreign lang="greek">w n</foreign> <emph type="italics"/>etiam parallela e&longs;t ip&longs;i<emph.end type="italics"/> <foreign lang="greek">q z,</foreign> <emph type="italics"/>quia in eas incidens<emph.end type="italics"/> <foreign lang="greek">z n</foreign> <emph type="italics"/>facit an­<lb/>gulos internos ad <expan abbr="ea&longs;d&etilde;">ea&longs;dem</expan> partes rectos, ex fab. proinde æquales ax. 10. <lb/><expan abbr="itaq;">itaque</expan> parallelæ prop. 28. lib. 1. </s> | <s id="id.000731">Sunt vero <foreign lang="el">w n</foreign> &] <emph type="italics"/>Quia<emph.end type="italics"/> <foreign lang="el">q w</foreign> <emph type="italics"/>parallela e&longs;t ip&longs;i<emph.end type="italics"/> <foreign lang="el">z n</foreign> <emph type="italics"/>ex fabrica: <lb/>tùm<emph.end type="italics"/> <foreign lang="el">w n</foreign> <emph type="italics"/>etiam parallela e&longs;t ip&longs;i<emph.end type="italics"/> <foreign lang="el">q z,</foreign> <emph type="italics"/>quia in eas incidens<emph.end type="italics"/> <foreign lang="el">z n</foreign> <emph type="italics"/>facit an­<lb/>gulos internos ad <expan abbr="ea&longs;d&etilde;">ea&longs;dem</expan> partes rectos, ex fab. proinde æquales ax. 10. <lb/><expan abbr="itaq;">itaque</expan> parallelæ prop. 28. lib. 1. </s> |
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| <s><expan abbr="parallelogrãmũ">parallelogramum</expan> erit<emph.end type="italics"/> <foreign lang="greek">w n z q. </foreign><emph type="italics"/>per def. pa­<lb/>rall. </s> | <s><expan abbr="parallelogrãmũ">parallelogramum</expan> erit<emph.end type="italics"/> <foreign lang="el">w n z q. </foreign><emph type="italics"/>per def. pa­<lb/>rall. </s> |
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| <s id="id.000735">quare eius latera oppo&longs;ita<emph.end type="italics"/> <foreign lang="greek">w n & q z</foreign> <emph type="italics"/><expan abbr="erũt">erunt</expan> æqualia prop. 34. lib. 1. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000735">quare eius latera oppo&longs;ita<emph.end type="italics"/> <foreign lang="el">w n & q z</foreign> <emph type="italics"/><expan abbr="erũt">erunt</expan> æqualia prop. 34. lib. 1. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000736">In circulis.] <emph type="italics"/>Ex hoc loco elicitur hoc theorema. </s> | <s id="id.000736">In circulis.] <emph type="italics"/>Ex hoc loco elicitur hoc theorema. </s> |
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| <s>quod oportuit facere. <emph.end type="italics"/></s></p><p type="main"> | <s>quod oportuit facere. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000749"><emph type="italics"/>Iam nunc de A G maiori &longs;emidiametro detrahatur portio A H <lb/>æqualis D H minori prop. 3. lib. 1. centro H interuallo A H de&longs;­<lb/>cribatur circulus A M L po&longs;tul. </s> | <s id="id.000749"><emph type="italics"/>Iam nunc de A G maiori &longs;emidiametro detrahatur portio A H <lb/>æqualis D H minori prop. 3. lib. 1. centro H interuallo A H de&longs;­<lb/>cribatur circulus A M L po&longs;tul. 3. qui erit æqualis dato D E F. <lb/>def. 1. lib. 3. </s> |
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| <s id="id.000750">3. qui erit æqualis dato D E F. <lb/>def. 1. lib. 3. </s> | |
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| <s>Et tanget intus circulum A B C in puncto A ex probl. <lb/>præ&longs;umpto. </s> | <s>Et tanget intus circulum A B C in puncto A ex probl. <lb/>præ&longs;umpto. </s> |
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| <s>quod fuit demon&longs;trandum. </s> | <s>quod fuit demon&longs;trandum. </s> |
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| <s id="id.000769">Hoc autem theorema videtur <expan abbr="quo-dãmodo">quo­<lb/>dammodo</expan><emph.end type="italics"/> <foreign lang="greek">para/docon. </foreign><emph type="italics"/>Erat enim veri&longs;imilius in maiore circulo <expan abbr="&longs;eg-mentũ">&longs;eg­<lb/>mentum</expan> &longs;emidiametri e&longs;&longs;e maius, & in minore minus: at non ita e&longs;t vt <lb/>patuit. </s> | <s id="id.000769">Hoc autem theorema videtur <expan abbr="quo­dãmodo">quo­<lb/>dammodo</expan><emph.end type="italics"/> <foreign lang="el">para/docon. </foreign><emph type="italics"/>Erat enim veri&longs;imilius in maiore circulo <expan abbr="&longs;eg­mentũ">&longs;eg­<lb/>mentum</expan> &longs;emidiametri e&longs;&longs;e maius, & in minore minus: at non ita e&longs;t vt <lb/>patuit. </s> |
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| <s id="id.000770">Cau&longs;a autem hæc reddi pote&longs;t, quod eadem recta, &longs;i fiat arcus <lb/>minoris circuli plus incuruetur oportet: quam &longs;i fiat arcus maioris, <lb/>atque his omnibus eo tendit Ari&longs;toteles, vt o&longs;tendat maiorem circu­<lb/>lum mobiliorem, & ideo etiam mouentiorem e&longs;&longs;e minori: rationem <lb/>autem mobilitatum e&longs;&longs;e, vt &longs;emidiametrorum. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000770">Cau&longs;a autem hæc reddi pote&longs;t, quod eadem recta, &longs;i fiat arcus <lb/>minoris circuli plus incuruetur oportet: quam &longs;i fiat arcus maioris, <lb/>atque his omnibus eo tendit Ari&longs;toteles, vt o&longs;tendat maiorem circu­<lb/>lum mobiliorem, & ideo etiam mouentiorem e&longs;&longs;e minori: rationem <lb/>autem mobilitatum e&longs;&longs;e, vt &longs;emidiametrorum. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000773">Nam &longs;inus tam <lb/>rectus quam ver&longs;us, quibus rationis harum lationum termini expri­<lb/>muntur, vt &longs;int rectæ lineæ: hæ tamen non ad vnguem arcus &longs;uos <lb/>metiuntur. </s> | <s id="id.000773">Nam &longs;inus tam <lb/>rectus quam ver&longs;us, quibus rationis harum lationum termini expri­<lb/>muntur, vt &longs;int rectæ lineæ: hæ tamen non ad vnguem arcus &longs;uos <lb/>metiuntur. </s> |
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| <s id="id.000774">Et &longs;ic in nulla &longs;unt ratione ad vnguem expre&longs;&longs;a: &longs;unt ta­<lb/>men vt hic quodammodo, & vt aiunt ferè. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000774">Et &longs;ic in nulla &longs;unt ratione ad vnguem expre&longs;&longs;a: &longs;unt ta­<lb/>men vt hic quodammodo, & vt aiunt ferè. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000775"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000775"><foreign lang="el">dei= de\ a)na/logon ei)=nai, <lb/>w(s to\ kata\ fu/sin pro\s to\ kata\ fu/sin, to\ para\ fu/sin <lb/>pro\s to\ para\ fu/sin.</foreign></s> |
| | <s id="g0121503"><foreign lang="el">mei/zona a)/ra perife/reian dielh/luqe <lb/>th\n *h*b th=s *w*b.</foreign></s> |
| | <s id="g0121504"><foreign lang="el">a)na/gkh de\ th\n *h*b e)n tou/tw| tw=| xro/nw| <lb/>dielhluqe/nai: e)ntau=qa ga\r e)/stai, o(/tan a)na/logon a)mfote/rws <lb/>sumbai/nh| to\ para\ fu/sin, pro\s to\ kata\ fu/sin.</foreign></s> |
| | <s id="g0121506"><foreign lang="el">ei) dh\ <lb/>mei=zo/n e)sti to\ kata\ fu/sin e)n th=| mei/zoni ku/klw|, kai\ to\ para\ fu/sin <lb/>mei=zon, a)\n e)ntau=qa sumpi/ptoi monaxw=s, w(/ste to\ *b, e)nhne/xqai <lb/>a)\n th\n *b*h e)n tw=| e)f' ou(= *x shmei=on. </foreign></s> |
| | <s id="g0121506a"><foreign lang="el">e)ntau=qa ga\r <lb/>kata\ fu/sin me\n gi/netai tw=| *b shmei/w| h( *k *b. </foreign></s> |
| | <s id="g0121506b"><foreign lang="el">e)/sti ga\r <lb/>au)th\ a)po\ tou= *h ka/qetos, para\ fu/sin de\ e)s th\n *k*b.</foreign></s> |
| | <s id="g0121508"><foreign lang="el">e)/sti <lb/>de\ w(s th\n *h*k pro\s th\n *k*b, h( *q*z pro\s th\n *z*x. </foreign></s> |
| | <s id="g0121508a"><foreign lang="el">fanero\n <lb/>de\ e)a\n e)pizeuxqw=sin, a)po\ tw=n *b, *x e)pi\ ta\ *h, *q.</foreign></s> |
| | <s id="g0121509"><foreign lang="el">ei) de\ <lb/>e)la/ttwn h)\ mei/zwn th=s *h*b e)/stai, h)ne/xqh to\ *b, ou)x o(moi/ws <lb/>e)/stai ou)de\ a)na/logon e)n a)mfoi=n to\ kata\ fu/sin pro\s to\ <lb/>para\ fu/sin.</foreign></s> |
| | <s id="g0121510"><foreign lang="el">di' h(\n me\n toi/nun ai)ti/an a)po\ th=s au)th=s <lb/>i)sxu/os fe/retai qa=tton to\ ple/on a)pe/xon tou= ke/ntrou shmei=on [1kai\ m gra/fei h( mei/zwn]1 <lb/>dh=lon dia\ tw=n ei)rhme/nwn.</foreign></s></p><p type="main"> |
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| <s id="id.000776">At oportet analoga e&longs;&longs;e, <lb/>vt id quod <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan>, <lb/>ad id quod <expan abbr="&longs;ecũdum">&longs;ecundum</expan> natu­<lb/>ram: &longs;ic quod præter natu­<lb/>ram, ad id quod præter <expan abbr="na-turã">na­<lb/>turam</expan>. </s> | <s id="id.000776">At oportet analoga e&longs;&longs;e, <lb/>vt id quod <expan abbr="&longs;ecundũ">&longs;ecundum</expan> <expan abbr="naturã">naturam</expan>, <lb/>ad id quod <expan abbr="&longs;ecũdum">&longs;ecundum</expan> natu­<lb/>ram: &longs;ic quod præter natu­<lb/>ram, ad id quod præter <expan abbr="na­turã">na­<lb/>turam</expan>. </s> |
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| <s id="id.000777">Igitur maiorem quam <lb/><foreign lang="greek">b w</foreign> <expan abbr="peripheriã">peripheriam</expan>, vt <foreign lang="greek">b h</foreign> <expan abbr="per-trã&longs;ijt">per­<lb/>tran&longs;ijt</expan>. </s> | <s id="id.000777">Igitur maiorem quam <lb/><foreign lang="el">b w</foreign> <expan abbr="peripheriã">peripheriam</expan>, vt <foreign lang="el">b h</foreign> <expan abbr="per­trã&longs;ijt">per­<lb/>tran&longs;ijt</expan>. </s> |
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| <s id="id.000778">Nece&longs;&longs;e igitur in eo <lb/>tempore <foreign lang="greek">b h</foreign> tran&longs;ij&longs;&longs;e. </s> | <s id="id.000778">Nece&longs;&longs;e igitur in eo <lb/>tempore <foreign lang="el">b h</foreign> tran&longs;ij&longs;&longs;e. </s> |
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| <s id="id.000779">Ibi <lb/>enim erit, vbi proportiona­<lb/>les <expan abbr="cõting&etilde;t">contingent</expan> <expan abbr="vtrinq;">vtrinque</expan> motus <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.082.jpg" pagenum="43"/><foreign lang="greek"><gap/></foreign><lb/>præter naturam ad motus <lb/>&longs;ecundum naturam. </s> | <s id="id.000779">Ibi <lb/>enim erit, vbi proportiona­<lb/>les <expan abbr="cõting&etilde;t">contingent</expan> <expan abbr="vtrinq;">vtrinque</expan> motus <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.082.jpg" pagenum="43"/><lb/>præter naturam ad motus <lb/>&longs;ecundum naturam. </s> |
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| <s id="id.000780">Si igi­<lb/>tur maius e&longs;t id quod <expan abbr="&longs;ecũ-dum">&longs;ecun­<lb/>dum</expan> <expan abbr="naturã">naturam</expan> in maiore cir­<lb/>culo, & quod e&longs;t pr&ecedil;ter na­<lb/>turam maius, vtique illuc <lb/>concidet vno modo, ita vt <lb/><foreign lang="greek">b</foreign> &longs;it latum per lineam <foreign lang="greek">b h. </foreign><lb/>eo in tempore quo <expan abbr="pũctum">punctum</expan> <lb/><foreign lang="greek">x</foreign> [per <foreign lang="greek">x q</foreign>]. </s> | <s id="id.000780">Si igi­<lb/>tur maius e&longs;t id quod <expan abbr="&longs;ecũ­dum">&longs;ecun­<lb/>dum</expan> <expan abbr="naturã">naturam</expan> in maiore cir­<lb/>culo, & quod e&longs;t pr&ecedil;ter na­<lb/>turam maius, vtique illuc <lb/>concidet vno modo, ita vt <lb/><foreign lang="el">b</foreign> &longs;it latum per lineam <foreign lang="el">b h. </foreign><lb/>eo in tempore quo <expan abbr="pũctum">punctum</expan> <lb/><foreign lang="el">x</foreign> [per <foreign lang="el">x q</foreign>]. </s> |
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| <s>Ibi enim pun­<lb/>cto <foreign lang="greek">b</foreign> &longs;ecundum <expan abbr="quid&etilde;">quidem</expan> na­<lb/>turam e&longs;t recta <foreign lang="greek">k h,</foreign> ab <foreign lang="greek">h</foreign><lb/>enim e&longs;t ip&longs;a perpendicu­<lb/>laris, præter naturam vero <lb/><foreign lang="greek">b k.</foreign> </s> | <s>Ibi enim pun­<lb/>cto <foreign lang="el">b</foreign> &longs;ecundum <expan abbr="quid&etilde;">quidem</expan> na­<lb/>turam e&longs;t recta <foreign lang="el">k h,</foreign> ab <foreign lang="el">h</foreign><lb/>enim e&longs;t ip&longs;a perpendicu­<lb/>laris, præter naturam vero <lb/><foreign lang="el">b k.</foreign> </s> |
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| <s>E&longs;t &longs;iquidem vt <foreign lang="greek">h k</foreign> ad <lb/><foreign lang="greek">h k</foreign>: &longs;ic <foreign lang="greek">q z</foreign> ad <foreign lang="greek">x z,</foreign> quod <lb/>erit manife&longs;tum, &longs;i à pun­<lb/>ctis <foreign lang="greek">b, x</foreign> ad <foreign lang="greek">h, q</foreign> rectæ adiun­<lb/>ctæ &longs;int. </s> | <s>E&longs;t &longs;iquidem vt <foreign lang="el">h k</foreign> ad <lb/><foreign lang="el">h k</foreign>: &longs;ic <foreign lang="el">q z</foreign> ad <foreign lang="el">x z,</foreign> quod <lb/>erit manife&longs;tum, &longs;i à pun­<lb/>ctis <foreign lang="el">b, x</foreign> ad <foreign lang="el">h, q</foreign> rectæ adiun­<lb/>ctæ &longs;int. </s> |
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| <s id="id.000781">Si vero minor vel <lb/>maior: quam <foreign lang="greek">h b</foreign> fuerit ea, <lb/>perquam <foreign lang="greek">b</foreign> motum e&longs;t, non <lb/>&longs;imiliter neque proportio­<lb/>naliter in <expan abbr="vtri&longs;q;">vtri&longs;que</expan> erit, quod <lb/><arrow.to.target n="marg13"/><lb/>&longs;ecundum naturam ad id <lb/>quod præter naturam. </s> | <s id="id.000781">Si vero minor vel <lb/>maior: quam <foreign lang="el">h b</foreign> fuerit ea, <lb/>perquam <foreign lang="el">b</foreign> motum e&longs;t, non <lb/>&longs;imiliter neque proportio­<lb/>naliter in <expan abbr="vtri&longs;q;">vtri&longs;que</expan> erit, quod <lb/><arrow.to.target n="marg13"/><lb/>&longs;ecundum naturam ad id <lb/>quod præter naturam. </s> |
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| <s id="id.000782">Ob <lb/><expan abbr="hãc">hanc</expan> igitur cau&longs;am ex dictis <lb/>manife&longs;tum, quod punctum à centro di&longs;tantius, vt ea­<lb/>dem vi &longs;it motum, celerius fertur. </s></p><p type="margin"> | <s id="id.000782">Ob <lb/><expan abbr="hãc">hanc</expan> igitur cau&longs;am ex dictis <lb/>manife&longs;tum, quod punctum à centro di&longs;tantius, vt ea­<lb/>dem vi &longs;it motum, celerius fertur. </s></p><p type="margin"> |
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| <s id="id.000785">At oportet.] <emph type="italics"/>Nunc o&longs;tendit in maiore circulo motum &longs;ecun­<lb/>dum naturam maiorem e&longs;&longs;e motu &longs;ecundum naturam in mino­<lb/>re circulo eodem tempore factum. </s> | <s id="id.000785">At oportet.] <emph type="italics"/>Nunc o&longs;tendit in maiore circulo motum &longs;ecun­<lb/>dum naturam maiorem e&longs;&longs;e motu &longs;ecundum naturam in mino­<lb/>re circulo eodem tempore factum. </s> |
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| <s id="id.000786">Ratio e&longs;t, Circuli inæquales eadem <lb/>vi moti &longs;eruant analogiam in motibus &longs;cilicet: vt quæ ratio &longs;it mo­<lb/>tus in maiore circulo &longs;ecundum naturam ad &longs;uum motum præter na­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.083.jpg" pagenum="44"/><emph type="italics"/>turam: eadem &longs;it motus in minore circulo &longs;ecundum naturam ad <lb/>&longs;uum motum præter naturam: at hæc analogia tantum reperiri po­<lb/>te&longs;t, &longs;i cum<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/>delatum e&longs;t in<emph.end type="italics"/> <foreign lang="greek">q,</foreign> <emph type="italics"/>intelligatur etiam<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>delatum in<emph.end type="italics"/> <foreign lang="greek">h,</foreign><lb/><emph type="italics"/>à quo<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>e&longs;t perpendicularis<emph.end type="italics"/> <foreign lang="greek">h k</foreign> <emph type="italics"/>in diametrum<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>metiens motum <lb/>ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>per peripheriam<emph.end type="italics"/> <foreign lang="greek">b h. </foreign><emph type="italics"/></s> | <s id="id.000786">Ratio e&longs;t, Circuli inæquales eadem <lb/>vi moti &longs;eruant analogiam in motibus &longs;cilicet: vt quæ ratio &longs;it mo­<lb/>tus in maiore circulo &longs;ecundum naturam ad &longs;uum motum præter na­<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.083.jpg" pagenum="44"/><emph type="italics"/>turam: eadem &longs;it motus in minore circulo &longs;ecundum naturam ad <lb/>&longs;uum motum præter naturam: at hæc analogia tantum reperiri po­<lb/>te&longs;t, &longs;i cum<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/>delatum e&longs;t in<emph.end type="italics"/> <foreign lang="el">q,</foreign> <emph type="italics"/>intelligatur etiam<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>delatum in<emph.end type="italics"/> <foreign lang="el">h,</foreign><lb/><emph type="italics"/>à quo<emph.end type="italics"/> <foreign lang="el">h</foreign> <emph type="italics"/>e&longs;t perpendicularis<emph.end type="italics"/> <foreign lang="el">h k</foreign> <emph type="italics"/>in diametrum<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>metiens motum <lb/>ip&longs;ius<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>per peripheriam<emph.end type="italics"/> <foreign lang="el">b h. </foreign><emph type="italics"/></s> |
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| <s>Ergo quo tempore<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/>delatum e&longs;t ad<emph.end type="italics"/><lb/><foreign lang="greek">q,</foreign> <emph type="italics"/>eodem<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>delatum erit ad<emph.end type="italics"/> <foreign lang="greek">h. </foreign><emph type="italics"/></s> | <s>Ergo quo tempore<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/>delatum e&longs;t ad<emph.end type="italics"/><lb/><foreign lang="el">q,</foreign> <emph type="italics"/>eodem<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>delatum erit ad<emph.end type="italics"/> <foreign lang="el">h. </foreign><emph type="italics"/></s> |
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| <s>Cæterum eadem vis in vtri&longs;que cir­<lb/>culis intelligitur ex æqualitate angulorum ad centrum con&longs;tituto­<lb/>rum. </s> | <s>Cæterum eadem vis in vtri&longs;que cir­<lb/>culis intelligitur ex æqualitate angulorum ad centrum con&longs;tituto­<lb/>rum. </s> |
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| <s id="id.000787">Æqualis enim e&longs;t angulus<emph.end type="italics"/> <foreign lang="greek">b a h</foreign> <emph type="italics"/>angulo<emph.end type="italics"/> <foreign lang="greek">x a q</foreign>. </s></p><p type="main"> | <s id="id.000787">Æqualis enim e&longs;t angulus<emph.end type="italics"/> <foreign lang="el">b a h</foreign> <emph type="italics"/>angulo<emph.end type="italics"/> <foreign lang="el">x a q</foreign>. </s></p><p type="main"> |
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| <s id="id.000788">Ab <foreign lang="greek">h</foreign> enim e&longs;t.] <emph type="italics"/>Curuas lineas perpendicularis &longs;ola vt breui&longs;­<lb/>&longs;ima, quantum fieri pote&longs;t exacte metitur. </s> | <s id="id.000788">Ab <foreign lang="el">h</foreign> enim e&longs;t.] <emph type="italics"/>Curuas lineas perpendicularis &longs;ola vt breui&longs;­<lb/>&longs;ima, quantum fieri pote&longs;t exacte metitur. </s> |
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| <s id="id.000789">vt &longs;cribit autem Ptolo­<lb/>mæus in lib. de Analemmate, & Simplicius in lib. de Dimen&longs;ione, <lb/>men&longs;ura cuiu&longs;cunque rei debet e&longs;&longs;e &longs;tata, determinata, & non indefi­<lb/>nita. </s> | <s id="id.000789">vt &longs;cribit autem Ptolo­<lb/>mæus in lib. de Analemmate, & Simplicius in lib. de Dimen&longs;ione, <lb/>men&longs;ura cuiu&longs;cunque rei debet e&longs;&longs;e &longs;tata, determinata, & non indefi­<lb/>nita. </s> |
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| <s id="id.000790">Talis autem e&longs;t perpendicularis ad linearum reliquarum dimen­<lb/>&longs;ionem. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000790">Talis autem e&longs;t perpendicularis ad linearum reliquarum dimen­<lb/>&longs;ionem. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000791">E&longs;t &longs;iquidem vt <foreign lang="greek">h k. </foreign>] <emph type="italics"/>Triangula enim<emph.end type="italics"/> <foreign lang="greek">x q z & b h k</foreign> <emph type="italics"/>&longs;unt <lb/>æquiangula. </s> | <s id="id.000791">E&longs;t &longs;iquidem vt <foreign lang="el">h k. </foreign>] <emph type="italics"/>Triangula enim<emph.end type="italics"/> <foreign lang="el">x q z & b h k</foreign> <emph type="italics"/>&longs;unt <lb/>æquiangula. </s> |
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| <s id="id.000792">Nam, qui anguli ad<emph.end type="italics"/> <foreign lang="greek">z & k,</foreign> <emph type="italics"/>&longs;unt recti ex fab. qui vero <lb/>ad<emph.end type="italics"/> <foreign lang="greek">x & b</foreign> <emph type="italics"/>&longs;unt externus & internus ad ea&longs;dem partes facti à re­<lb/>cta<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>incidente in parallelas<emph.end type="italics"/> <foreign lang="greek">x q, b h</foreign> <emph type="italics"/>prop. 3. lib. 6. </s> | <s id="id.000792">Nam, qui anguli ad<emph.end type="italics"/> <foreign lang="el">z & k,</foreign> <emph type="italics"/>&longs;unt recti ex fab. qui vero <lb/>ad<emph.end type="italics"/> <foreign lang="el">x & b</foreign> <emph type="italics"/>&longs;unt externus & internus ad ea&longs;dem partes facti à re­<lb/>cta<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>incidente in parallelas<emph.end type="italics"/> <foreign lang="el">x q, b h</foreign> <emph type="italics"/>prop. 3. lib. 6. </s> |
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| <s>Nam<emph.end type="italics"/> <foreign lang="greek">x q</foreign><lb/><emph type="italics"/>proportionaliter &longs;ecat<emph.end type="italics"/> <foreign lang="greek">a b & a h</foreign> <emph type="italics"/>latera trianguli<emph.end type="italics"/> <foreign lang="greek">b a h. </foreign><emph type="italics"/></s> | <s>Nam<emph.end type="italics"/> <foreign lang="el">x q</foreign><lb/><emph type="italics"/>proportionaliter &longs;ecat<emph.end type="italics"/> <foreign lang="el">a b & a h</foreign> <emph type="italics"/>latera trianguli<emph.end type="italics"/> <foreign lang="el">b a h. </foreign><emph type="italics"/></s> |
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| <s>Sunt enim<emph.end type="italics"/><lb/><foreign lang="greek">a x, a q</foreign> <emph type="italics"/>æquales radj,<emph.end type="italics"/> & <foreign lang="greek">x b, q h</foreign> <emph type="italics"/>item æquales lineæ, quia re­<lb/>liquæ ex æqualibus radijs<emph.end type="italics"/> <foreign lang="greek">a b, a h</foreign>: <emph type="italics"/>habent autem æquales ad <lb/>æquales eandem rationem. </s> | <s>Sunt enim<emph.end type="italics"/><lb/><foreign lang="el">a x, a q</foreign> <emph type="italics"/>æquales radj,<emph.end type="italics"/> & <foreign lang="el">x b, q h</foreign> <emph type="italics"/>item æquales lineæ, quia re­<lb/>liquæ ex æqualibus radijs<emph.end type="italics"/> <foreign lang="el">a b, a h</foreign>: <emph type="italics"/>habent autem æquales ad <lb/>æquales eandem rationem. </s> |
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| <s>E&longs;t igitur<emph.end type="italics"/> <foreign lang="greek">x q</foreign> <emph type="italics"/>parallela ba&longs;i<emph.end type="italics"/> <foreign lang="greek">b h,</foreign> <emph type="italics"/>& &longs;ic <lb/>anguli qui ad<emph.end type="italics"/> <foreign lang="greek">x</foreign> <emph type="italics"/>externus, & qui ad<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>internus erunt æquales <lb/>prop. 29. lib. 1. </s> | <s>E&longs;t igitur<emph.end type="italics"/> <foreign lang="el">x q</foreign> <emph type="italics"/>parallela ba&longs;i<emph.end type="italics"/> <foreign lang="el">b h,</foreign> <emph type="italics"/>& &longs;ic <lb/>anguli qui ad<emph.end type="italics"/> <foreign lang="el">x</foreign> <emph type="italics"/>externus, & qui ad<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>internus erunt æquales <lb/>prop. 29. lib. 1. </s> |
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| <s>Ergo & reliqui qui ad<emph.end type="italics"/> <foreign lang="greek">q & h</foreign> <emph type="italics"/>prop. 32. lib. 1. </s> | <s>Ergo & reliqui qui ad<emph.end type="italics"/> <foreign lang="el">q & h</foreign> <emph type="italics"/>prop. 32. lib. 1. </s> |
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| <s>Hæc <lb/>igitur duo triangula circa æquales angulos habebunt latera propor­<lb/>tionalia prop. 4. lib. 6. </s> | <s>Hæc <lb/>igitur duo triangula circa æquales angulos habebunt latera propor­<lb/>tionalia prop. 4. lib. 6. </s> |
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| <s>Sicque erit vt<emph.end type="italics"/> <foreign lang="greek">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">x z</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="greek">h k</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">k b,</foreign><lb/><emph type="italics"/>& alternatim vt<emph.end type="italics"/> <foreign lang="greek">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h k</foreign><emph type="italics"/>: &longs;ic<emph.end type="italics"/> <foreign lang="greek">x z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">k b</foreign> <emph type="italics"/>prop. 16. lib. 5. <emph.end type="italics"/></s></p><p type="main"> | <s>Sicque erit vt<emph.end type="italics"/> <foreign lang="el">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">x z</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="el">h k</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">k b,</foreign><lb/><emph type="italics"/>& alternatim vt<emph.end type="italics"/> <foreign lang="el">q z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">h k</foreign><emph type="italics"/>: &longs;ic<emph.end type="italics"/> <foreign lang="el">x z</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">k b</foreign> <emph type="italics"/>prop. 16. lib. 5. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000795">Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi­<lb/>tur punctum à centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000795">Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi­<lb/>tur punctum à centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000796"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000796"><foreign lang="el">dio/ti de\ ta\ me\n mei/zw zuga\ <lb/>a)kribe/stera/ e)sti tw=n e)latto/nwn, fanero\n e)k tou/twn.</foreign></s> |
| | <s id="g0130102"><foreign lang="el">gi/netai <lb/>ga\r to\ me\n spa/rton ke/ntron.</foreign></s> |
| | <s id="g0130102a"><foreign lang="el">me/nei ga\r tou=to. </foreign></s> |
| | <s id="g0130102b"><foreign lang="el">to\ de\ e)pi\ <lb/>e(ka/teron me/ros th=s pla/stiggos, ai( e)k tou= ke/ntrou.</foreign></s> |
| | <s id="g0130103"><foreign lang="el">a)po\ ou)=n <lb/>tou= au)tou= ba/rous a)na/gkh qa=tton kinei=sqai to\ a)/kron th=s <lb/>pla/stiggos, o(/sw| a)\n plei=on a)pe/xh| tou= spa/rtou, kai\ e)/nia <lb/>me\n mh\ dh=la ei)=nai e)n toi=s mikroi=s zugoi=s pro\s th\n ai)/sqhsin <lb/>e)pitiqe/mena ba/rh: e)n de\ toi=s mega/lois, dh=la. </foreign></s> |
| | <s id="g0130105"><foreign lang="el">ou)qe\n ga\r <lb/>kwlu/ei e)/latton kinhqh=nai me/geqos, h)\ w(/ste ei)=nai th=| o)/yei <lb/>fanero/n.</foreign></s></p><p type="main"> |
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| <s id="id.000797">Quod vero propterea li­<lb/>br&ecedil; maiores minoribus &longs;int <lb/>exactiores, <expan abbr="manife&longs;tũ">manife&longs;tum</expan> ex his <lb/>erit. </s> | <s id="id.000797">Quod vero propterea li­<lb/>br&ecedil; maiores minoribus &longs;int <lb/>exactiores, <expan abbr="manife&longs;tũ">manife&longs;tum</expan> ex his <lb/>erit. </s> |
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| <s id="id.000799">Hæc enim quie&longs;cit. </s> | <s id="id.000799">Hæc enim quie&longs;cit. </s> |
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| <s id="id.000800"><expan abbr="vtræq;">vtræque</expan> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.084.jpg" pagenum="45"/><foreign lang="greek"><gap/></foreign><lb/>vero librilis partes lineæ <lb/>&longs;unt ex centro. </s> | <s id="id.000800"><expan abbr="vtræq;">vtræque</expan> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.084.jpg" pagenum="45"/><lb/>vero librilis partes lineæ <lb/>&longs;unt ex centro. </s> |
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| <s id="id.000801">Ab eodem <lb/>igitur pondere nece&longs;&longs;e e&longs;t <lb/>eò celerius extremum li­<lb/>brilis ferri, quò plus ab agi­<lb/>na di&longs;titerit, & nonnulla in <lb/>paruis libris pondera im­<lb/>po&longs;ita non manife&longs;ta &longs;en­<lb/>&longs;ui e&longs;&longs;e, quæ in magnis ma­<lb/>nife&longs;ta erunt. </s> | <s id="id.000801">Ab eodem <lb/>igitur pondere nece&longs;&longs;e e&longs;t <lb/>eò celerius extremum li­<lb/>brilis ferri, quò plus ab agi­<lb/>na di&longs;titerit, & nonnulla in <lb/>paruis libris pondera im­<lb/>po&longs;ita non manife&longs;ta &longs;en­<lb/>&longs;ui e&longs;&longs;e, quæ in magnis ma­<lb/>nife&longs;ta erunt. </s> |
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| <s id="id.000803">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000803">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000804">Qvod vero propterea libræ.] <foreign lang="greek">zugo\s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek">zugo\n</foreign> <emph type="italics"/>præter iu­<lb/>gum, remigum &longs;edes, & tran&longs;tra curruum & nauium &longs;ignifi­<lb/>cat etiam libram & &longs;tateram, hinc illud Pythagoræ<emph.end type="italics"/> <foreign lang="greek">mh\ zugo\n u(per­<lb/>bai/nein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris & vt annotat Budæus<emph.end type="italics"/> <foreign lang="greek">zugosta/­<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="põderibus">ponderibus</expan> præfecti ap­<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena & examinata æquitate <lb/>à Zygo quod e&longs;t libra publice temperata & con&longs;tituta, vt quemad­<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam. <emph.end type="italics"/><lb/><arrow.to.target n="marg14"/><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>& pondus æquum voluntas eius. <emph.end type="italics"/></s></p><p type="margin"> | <s id="id.000804">Qvod vero propterea libræ.] <foreign lang="el">zugo\s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="el">zugo\n</foreign> <emph type="italics"/>præter iu­<lb/>gum, remigum &longs;edes, & tran&longs;tra curruum & nauium &longs;ignifi­<lb/>cat etiam libram & &longs;tateram, hinc illud Pythagoræ<emph.end type="italics"/> <foreign lang="el">mh\ zugo\n u(per­<lb/>bai/nein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris & vt annotat Budæus<emph.end type="italics"/> <foreign lang="el">zugosta/­<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="põderibus">ponderibus</expan> præfecti ap­<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena & examinata æquitate <lb/>à Zygo quod e&longs;t libra publice temperata & con&longs;tituta, vt quemad­<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam. <emph.end type="italics"/><lb/><arrow.to.target n="marg14"/><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>& pondus æquum voluntas eius. <emph.end type="italics"/></s></p><p type="margin"> |
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| <s id="id.000805"><margin.target id="marg14"/>Initio <lb/>cap. 11. <lb/>Prouerb. </s></p><p type="main"> | <s id="id.000805"><margin.target id="marg14"/>Initio <lb/>cap. 11. <lb/>Prouerb. </s></p><p type="main"> |
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| <s id="id.000807">Quod <lb/>vt intelligatur prius <lb/>in libra A D B C <lb/>H I partes notan­<lb/>dæ &longs;unt. </s> | <s id="id.000807">Quod <lb/>vt intelligatur prius <lb/>in libra A D B C <lb/>H I partes notan­<lb/>dæ &longs;unt. </s> |
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| <s id="id.000808">Sit igitur <lb/>libræ librile, &longs;eu <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.085.jpg" pagenum="46"/><emph type="italics"/>&longs;capus &longs;eu iugum A B, & C D trutina, &longs;eu an&longs;a, quæ pro com­<lb/>muni more &longs;emper e&longs;t perpendicularis ad horizontis planum: pun­<lb/>ctum vero C e&longs;t agina,<emph.end type="italics"/> <foreign lang="greek">spa/rtion</foreign> <emph type="italics"/>vocatur ab Ari&longs;totele, & e&longs;t cen­<lb/>trum libræ circa quod brachia C A, C B moueri intelliguntur <lb/>pro ponderibus impo&longs;itis in H vel I lancibus, quas<emph.end type="italics"/> <foreign lang="greek">pla/stiggas</foreign> <emph type="italics"/>Ari­<lb/>&longs;toteles appellabit, quo etiam nomine appellat librile, &longs;eu &longs;capum, &longs;eu <lb/>iugum A B. </s> | <s id="id.000808">Sit igitur <lb/>libræ librile, &longs;eu <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.085.jpg" pagenum="46"/><emph type="italics"/>&longs;capus &longs;eu iugum A B, & C D trutina, &longs;eu an&longs;a, quæ pro com­<lb/>muni more &longs;emper e&longs;t perpendicularis ad horizontis planum: pun­<lb/>ctum vero C e&longs;t agina,<emph.end type="italics"/> <foreign lang="el">spa/rtion</foreign> <emph type="italics"/>vocatur ab Ari&longs;totele, & e&longs;t cen­<lb/>trum libræ circa quod brachia C A, C B moueri intelliguntur <lb/>pro ponderibus impo&longs;itis in H vel I lancibus, quas<emph.end type="italics"/> <foreign lang="el">pla/stiggas</foreign> <emph type="italics"/>Ari­<lb/>&longs;toteles appellabit, quo etiam nomine appellat librile, &longs;eu &longs;capum, &longs;eu <lb/>iugum A B. </s> |
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| <s id="id.000809">E&longs;t etiam recta E C F &longs;emper perpendicularis ip&longs;i <lb/>A B vtcunque moueatur. </s> | <s id="id.000809">E&longs;t etiam recta E C F &longs;emper perpendicularis ip&longs;i <lb/>A B vtcunque moueatur. </s> |
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| <s id="id.000811">His ita declaratis, ilico ex præ­<lb/>cedentibus con&longs;tat, quod C centro fixo, &longs;i A C vel C B lineæ quæ <lb/>ex centro, moueantur, de&longs;cribent circulum pro &longs;uo interuallo, in <lb/>minore librili, minorem: in maiore maiorem: &longs;icque cum magnitudo <lb/>&longs;patij motu tran&longs;iti, quò maior, eò vi&longs;ibilior, & quò etiam librilis <lb/>pars maior, eò mobilior, citius ex æquali pondere, & magis mouebitur <lb/>librile maius: <expan abbr="quã">quam</expan> minus, proinde etiam erit exactius. </s> | <s id="id.000811">His ita declaratis, ilico ex præ­<lb/>cedentibus con&longs;tat, quod C centro fixo, &longs;i A C vel C B lineæ quæ <lb/>ex centro, moueantur, de&longs;cribent circulum pro &longs;uo interuallo, in <lb/>minore librili, minorem: in maiore maiorem: &longs;icque cum magnitudo <lb/>&longs;patij motu tran&longs;iti, quò maior, eò vi&longs;ibilior, & quò etiam librilis <lb/>pars maior, eò mobilior, citius ex æquali pondere, & magis mouebitur <lb/>librile maius: <expan abbr="quã">quam</expan> minus, proinde etiam erit exactius. </s> |
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| <s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000812">id e&longs;t minores <lb/>ponderum differentias patefaciet. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000813"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000813"><foreign lang="el">e)pi\ de\ th=s mega/lhs pla/stiggos poiei= o(rato\n to\ <lb/>au)to\ ba/ros me/geqos.</foreign></s> |
| | <s id="g0130107"><foreign lang="el">e)/nia de\ dh=la me\n e)p' a)mfoi=n e)sti/n, <lb/>a)lla\ pollw=| ma=llon e)pi\ tw=n meizo/nwn, dia\ to\ pollw=| <lb/>mei=zon gi/nesqai to\ me/geqos th=s r(oph=s u(po\ tou= au)tou= ba/rous <lb/>e)n toi=s mei/zosi.</foreign></s> |
| | <s id="g0130108"><foreign lang="el">kai\ dia\ tou=to texna/zousin oi( a(lourgopw=lai <lb/>pro\s to\ parakrou/esqai i(sta/ntes, to/, te spa/rton <lb/>ou)k e)n me/sw| tiqe/ntes, kai\ mo/lubdon th=s fa/laggos ei)s <lb/>qa/teron me/ros e)gxe/ontes, h)\ tou= cu/lou to\ pro\s th\n r(i/zan <lb/>pro\s o(\ bou/lontai r(e/pein poiou=ntes, h)\ e)a\n e)/xh| o)/zon. </foreign></s> |
| | <s id="g0130108a"><foreign lang="el">baru/­<lb/>teron ga\r e)n w(=| me/ros h( r(i/za tou= cu/lou e)sti/n. </foreign></s> |
| | <s id="g0130108b"><foreign lang="el">o( de\ o)/zos r(i/za <lb/>ti/s e)stin.</foreign></s></p><p type="main"> |
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| <s id="id.000814">In magno <expan abbr="aut&etilde;">autem</expan> librili <expan abbr="id&etilde;">idem</expan> <lb/><expan abbr="põdus">pondus</expan> <expan abbr="magnitudin&etilde;">magnitudinem</expan> reddet <lb/><expan abbr="a&longs;pectabil&etilde;">a&longs;pectabilem</expan>. </s> | <s id="id.000814">In magno <expan abbr="aut&etilde;">autem</expan> librili <expan abbr="id&etilde;">idem</expan> <lb/><expan abbr="põdus">pondus</expan> <expan abbr="magnitudin&etilde;">magnitudinem</expan> reddet <lb/><expan abbr="a&longs;pectabil&etilde;">a&longs;pectabilem</expan>. </s> |
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| <s id="id.000829">Ducitur ex effectu eorum qui fraudare <expan abbr="volũt">volunt</expan>, <lb/>emptores. </s> | <s id="id.000829">Ducitur ex effectu eorum qui fraudare <expan abbr="volũt">volunt</expan>, <lb/>emptores. </s> |
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| <s id="id.000830">Imponunt enim pondus rei venditæ leuius æquipondio<emph.end type="italics"/><lb/>(<foreign lang="greek">sfai/rwma</foreign> <emph type="italics"/>po&longs;tea vocabitur) in librilis brachio longiore: &longs;icque, <lb/>vel æquiponderat vel etiam præponderat: & ita paucum pro multo <lb/>vendunt. </s> | <s id="id.000830">Imponunt enim pondus rei venditæ leuius æquipondio<emph.end type="italics"/><lb/>(<foreign lang="el">sfai/rwma</foreign> <emph type="italics"/>po&longs;tea vocabitur) in librilis brachio longiore: &longs;icque, <lb/>vel æquiponderat vel etiam præponderat: & ita paucum pro multo <lb/>vendunt. </s> |
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| <s id="id.000831">Nec tamen vacua libra ponderibus, iniqua videtur. </s> | <s id="id.000831">Nec tamen vacua libra ponderibus, iniqua videtur. </s> |
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| </p><p type="main"> | </p><p type="main"> |
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| <s id="id.000842">Purpuræ venditores.] <foreign lang="greek">a(lourgopw/lai</foreign> <emph type="italics"/>dicuntur quia<emph.end type="italics"/> <foreign lang="greek">a(/lour­<lb/>gon</foreign> <emph type="italics"/>purpura e&longs;t<emph.end type="italics"/> <foreign lang="greek">a)po\ tou= a(/ls kai\ e)/rgon</foreign> <emph type="italics"/>à maris opere. </s> | <s id="id.000842">Purpuræ venditores.] <foreign lang="el">a(lourgopw/lai</foreign> <emph type="italics"/>dicuntur quia<emph.end type="italics"/> <foreign lang="el">a(/lour­<lb/>gon</foreign> <emph type="italics"/>purpura e&longs;t<emph.end type="italics"/> <foreign lang="el">a)po\ tou= a(/ls kai\ e)/rgon</foreign> <emph type="italics"/>à maris opere. </s> |
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| <s id="id.000843">quia purpura è <emph.end type="italics"/><lb/><arrow.to.target n="marg17"/><lb/><emph type="italics"/>concha marina colligitur. </s> | <s id="id.000843">quia purpura è <emph.end type="italics"/><lb/><arrow.to.target n="marg17"/><lb/><emph type="italics"/>concha marina colligitur. </s> |
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| <s id="id.000845">Hunc in medijs fau­<lb/>cibus conchæ gerunt, candida quadam vena conclu&longs;um colore ni­<lb/>gricantis ro&longs;æ pellucidum. <emph.end type="italics"/></s></p><p type="margin"> | <s id="id.000845">Hunc in medijs fau­<lb/>cibus conchæ gerunt, candida quadam vena conclu&longs;um colore ni­<lb/>gricantis ro&longs;æ pellucidum. <emph.end type="italics"/></s></p><p type="margin"> |
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| <s id="id.000846"><margin.target id="marg17"/>Lib. 9. cap. <lb/>36. </s></p></chap><chap><p type="main"> | <s id="id.000846"><margin.target id="marg17"/>Lib. 9. cap. <lb/>36. </s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.000847">3. <foreign lang="greek">*dia\ ti\ e)a\n me\n a)/nwqen h(=| to\ <lb/>spa/rtion, o(/tan a)qerh| to\ ba/­<lb/>ros, pa/lin a)naqe/retai to\ zu­<lb/>go/n: de\ ka/twqen, me/nei. </foreign></s></p><p type="main"> | <s id="id.000847">3. <foreign lang="el">*dia\ ti\ e)a\n me\n a)/nwqen h)=| to\ <lb/>spa/rtion, o(/tan a)qerh| to\ ba/­<lb/>ros, pa/lin a)naqe/retai to\ zu­<lb/>go/n: de\ ka/twqen, me/nei. </foreign></s></p><p type="main"> |
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| <s id="id.000848">3. Propter quid, &longs;i in &longs;upe­<lb/>riore librilis parte fuerit <lb/>agina, <expan abbr="quãdo">quando</expan> <expan abbr="põdus">pondus</expan>, ali­<lb/>quod depre&longs;&longs;erit, rur&longs;us <lb/>librile referatur: At &longs;i in <lb/>inferiore, non refertur. </s></p><p type="main"> | <s id="id.000848">3. Propter quid, &longs;i in &longs;upe­<lb/>riore librilis parte fuerit <lb/>agina, <expan abbr="quãdo">quando</expan> <expan abbr="põdus">pondus</expan>, ali­<lb/>quod depre&longs;&longs;erit, rur&longs;us <lb/>librile referatur: At &longs;i in <lb/>inferiore, non refertur. </s></p><p type="main"> |
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| <s><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="g0130202"><foreign lang="el">*dia\ ti/, e)a\n me\n a)/nwqen h)=| to\ sparti/on, o(/tan ka/twqen <lb/>r(e/yantos a)fe/lh| to\ ba/ros pa/lin a)nafe/retai to\ zugo/n: <lb/>e)a\n de\ ka/twqen u(posth=|, ou)k a)nafe/retai, a)lla\ me/nei, h)\ <lb/>dio/ti a)/nwqen me\n tou= sparti/ou o)/ntos, plei=on tou= zugou= gi/netai <lb/>to\ e)pe/keina th=s kaqe/tou, to\ ga\r sparti/on e)sti\ ka/qetos, <lb/>w(/ste a)na/gkh e)sti\ ka/tw r(e/pein to\ ple/on, e(/ws a)\n e)/lqh| h( <lb/>di/xa diairou=sa to\ zugo\n e)pi\ th\n ka/qeton au)th/n, e)pikeime/nou <lb/>tou= ba/rous e)n tw=| a)nespasme/nw| mori/w| tou= zugou=.</foreign></s> |
| | <s id="g0130203"><foreign lang="el"><lb/>e)/stw zugo\n o)rqo\n, e)f' ou(= *b*g, sparti/on de\ to\ *a*d. </foreign></s> |
| | <s id="g0130203a"><foreign lang="el">e)kballo/menou <lb/>dh\ tou=tou, ka/tw ka/qetos e)/stai, e)f' h(=s h( *a*d*m.</foreign></s> |
| | <s id="g0130204"><foreign lang="el"><lb/>e)a\n ou)=n e)pi\ to\ *b h( r(oph\ e)piteqei/setai, to\ me\n *b ou(= to\ *e, <lb/>to\ de\ *g ou(= to\ *z e)/stai, w(/ste h( di/xa diairou=sa to\ zugo\n.</foreign></s> |
| | <s id="g0130204a"><foreign lang="el"> prw=ton <lb/>me\n h)=n h( *a*d*m th=s kaqe/tou au)th=s.</foreign></s> |
| | <s id="g0130204b"><foreign lang="el"> e)pikeime/nhs de\ th=s r(oph=s <lb/>e)/stai h( *d*q, w(/ste tou= zugou= e)f' w(=| *e*z, to\ e)/cw th=s kaqe/tou <lb/>th=s e)f' h(=s *a*m, tou= e)n w(=| *f*p, mei/zw tou= h(mi/seos.</foreign></s> |
| | <s id="g0130205"><foreign lang="el"><lb/>e)a\n ou)=n a)faireqh=| to\ ba/ros a)po\ tou= *e, a)na/gkh ka/tw fe/resqai <lb/>to\ *z.</foreign></s> |
| | <s id="g0130205a"><foreign lang="el">e)/latton ga/r e)sti to\ *e.</foreign></s> |
| | <s id="g0130206"><foreign lang="el">e)a\n me\n ou)=n a)/nw to\ <lb/>sparti/on e)/xh|, pa/lin dia\ tou=to a)nafe/retai to\ zugo/n.</foreign></s> |
| | <s id="g0130207"><foreign lang="el">e)a\n <lb/>de\ ka/twqen h)=| to\ u(pokei/menon, tou)nanti/on poiei=: plei=on ga\r <lb/>gi/netai tou= h(mi/seos tou= zugou= to\ ka/tw me/ros, h)\ w(s h( ka/qetos <lb/>diairei=, w(/ste ou)k a)nafe/retai: koufo/teron ga\r to\ e)phrthme/non.</foreign></s> |
| | <s id="g0130208"><foreign lang="el"><lb/>e)/stw zugo\n to\ e)f' ou(= *n*c to\ o)rqo/n, ka/qetos de\ h( <lb/>*k*l*m, di/xa dh\ diairei=tai to\ *n*c.</foreign></s> |
| | <s id="g0130209"><foreign lang="el">e)piteqe/ntos de\ ba/rous <lb/>e)pi\ to\ *n, e)/stai to\ me\n *n ou(= to\ *o, to\ de\ *c, ou(= to\ *r.</foreign></s> |
| | <s id="g0130209a"><foreign lang="el"> h( de\ <lb/>*k*l ou(= to\ *l*q, w(/ste mei=zo/n e)sti to\ *l*o tou= *l*r, tw=| *q*k*l.</foreign></s> |
| | <s id="g0130210"><foreign lang="el"><lb/>kai\ a)faireqe/ntos ou)=n tou= ba/rous, a)na/gkh me/nein: e)pi/keitai <lb/>ga\r w(/sper ba/ros h( u(peroxh\ h( tou= h(mi/seos tou= e)n w(=| to\ *l*o.</foreign></s></p><p type="main"> |
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| <s id="id.000850">Propter quid &longs;i in &longs;upe­<lb/>riore librilis parte fuerit <lb/>agina, cum præ <expan abbr="põdere">pondere</expan> <expan abbr="de-mi&longs;sũ">de­<lb/>mi&longs;sum</expan> e&longs;t, hoc &longs;ublato rur­<lb/>&longs;us redit: Sed &longs;i in inferiore <lb/>fuerit, <expan abbr="nõ">non</expan> redit, &longs;ed manet? <lb/></s> | <s id="id.000850">Propter quid &longs;i in &longs;upe­<lb/>riore librilis parte fuerit <lb/>agina, cum præ <expan abbr="põdere">pondere</expan> <expan abbr="de­mi&longs;sũ">de­<lb/>mi&longs;sum</expan> e&longs;t, hoc &longs;ublato rur­<lb/>&longs;us redit: Sed &longs;i in inferiore <lb/>fuerit, <expan abbr="nõ">non</expan> redit, &longs;ed manet? <lb/></s> |
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| <s id="id.000851">an quia &longs;uperne exi&longs;tente <lb/>agina, librilis plus erit ex­<lb/>tra perpendicularem. </s> | <s id="id.000851">an quia &longs;uperne exi&longs;tente <lb/>agina, librilis plus erit ex­<lb/>tra perpendicularem. </s> |
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| <s id="id.000853"><expan abbr="Itaq;">Itaque</expan> nece&longs;&longs;e e&longs;t, quod <lb/>plus e&longs;t deor&longs;um vergere, <lb/>incumbente <expan abbr="põdere">pondere</expan> in par­<lb/>te librilis &longs;ur&longs;um rapta, do­<lb/>nec venerit eò, vbi ad per­<lb/>pendicularem ip&longs;am librile <lb/>bifariam diuiditur. </s> | <s id="id.000853"><expan abbr="Itaq;">Itaque</expan> nece&longs;&longs;e e&longs;t, quod <lb/>plus e&longs;t deor&longs;um vergere, <lb/>incumbente <expan abbr="põdere">pondere</expan> in par­<lb/>te librilis &longs;ur&longs;um rapta, do­<lb/>nec venerit eò, vbi ad per­<lb/>pendicularem ip&longs;am librile <lb/>bifariam diuiditur. </s> |
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| <s id="id.000854">E&longs;to li­<lb/>brile rectum <foreign lang="greek">b y,</foreign> trutina <foreign lang="greek">a <lb/>d</foreign>: at hoc deor&longs;um demi&longs;&longs;o <lb/>&longs;it perpendicularis <foreign lang="greek">a d m. </foreign><lb/></s> | <s id="id.000854">E&longs;to li­<lb/>brile rectum <foreign lang="el">b y,</foreign> trutina <foreign lang="el">a <lb/>d</foreign>: at hoc deor&longs;um demi&longs;&longs;o <lb/>&longs;it perpendicularis <foreign lang="el">a d m. </foreign><lb/></s> |
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| <s>Si igitur pondus impona­<lb/>tur in lance <foreign lang="greek">b,</foreign> erit <foreign lang="greek">b</foreign> vbi <foreign lang="greek">e, <lb/>& g</foreign> vbi <foreign lang="greek">z. </foreign></s> | <s>Si igitur pondus impona­<lb/>tur in lance <foreign lang="el">b,</foreign> erit <foreign lang="el">b</foreign> vbi <foreign lang="el">e, <lb/>& g</foreign> vbi <foreign lang="el">z. </foreign></s> |
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| <s>Itaque recta bi­<lb/>fariam diuidens librile, pri­<lb/>mùm quidem erat <foreign lang="greek">a d m,</foreign><lb/>ip&longs;a <expan abbr="perp&etilde;dicularis">perpendicularis</expan> <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan>: <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.088.jpg" pagenum="49"/><foreign lang="greek"><gap/></foreign><lb/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="greek">f p. </foreign></s> | <s>Itaque recta bi­<lb/>fariam diuidens librile, pri­<lb/>mùm quidem erat <foreign lang="el">a d m,</foreign><lb/>ip&longs;a <expan abbr="perp&etilde;dicularis">perpendicularis</expan> <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan>: <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.088.jpg" pagenum="49"/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="el">f p. </foreign></s> |
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| <s>Itaque librilis <lb/><foreign lang="greek">e c</foreign> id quod e&longs;t extra per­<lb/>pendicularem <foreign lang="greek">a m</foreign> in ea <lb/>quæ e&longs;t <foreign lang="greek">f p</foreign> plus e&longs;t: quam <lb/>dimidium. </s> | <s>Itaque librilis <lb/><foreign lang="el">e c</foreign> id quod e&longs;t extra per­<lb/>pendicularem <foreign lang="el">a m</foreign> in ea <lb/>quæ e&longs;t <foreign lang="el">f p</foreign> plus e&longs;t: quam <lb/>dimidium. </s> |
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| <s id="id.000855">Si igitur pon­<lb/>dus, quod erat in <foreign lang="greek">e</foreign> tolla­<lb/>tur, nece&longs;&longs;e e&longs;t <foreign lang="greek">z</foreign> deor&longs;um <lb/>ferri. </s> | <s id="id.000855">Si igitur pon­<lb/>dus, quod erat in <foreign lang="el">e</foreign> tolla­<lb/>tur, nece&longs;&longs;e e&longs;t <foreign lang="el">z</foreign> deor&longs;um <lb/>ferri. </s> |
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| <s id="id.000856">E&longs;t enim <foreign lang="greek">e</foreign> minus: &longs;i <lb/>igitur in &longs;uperiori parte <lb/>fuerit agina, rur&longs;us ob id li­<lb/>brile refertur: &longs;i vero in in­<lb/>feriori parte &longs;ubijciatur a­<lb/>gina, contra euenit. </s> | <s id="id.000856">E&longs;t enim <foreign lang="el">e</foreign> minus: &longs;i <lb/>igitur in &longs;uperiori parte <lb/>fuerit agina, rur&longs;us ob id li­<lb/>brile refertur: &longs;i vero in in­<lb/>feriori parte &longs;ubijciatur a­<lb/>gina, contra euenit. </s> |
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| <s id="id.000857">Pars <lb/>enim maior dimidia libri­<lb/>lis e&longs;t id, quod infra e&longs;t, & <lb/>quod à perpendiculari &longs;e­<lb/>catur. </s> | <s id="id.000857">Pars <lb/>enim maior dimidia libri­<lb/>lis e&longs;t id, quod infra e&longs;t, & <lb/>quod à perpendiculari &longs;e­<lb/>catur. </s> |
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| <s id="id.000859">Leuior enim e&longs;t pars &longs;ur­<lb/>&longs;um lata. </s> | <s id="id.000859">Leuior enim e&longs;t pars &longs;ur­<lb/>&longs;um lata. </s> |
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| <s id="id.000860">E&longs;to librile <foreign lang="greek">n c</foreign> re­<lb/>ctum, perpendicularis vero <lb/><foreign lang="greek">k l m,</foreign> quæ bifariam diui­<lb/>dat <foreign lang="greek">n c,</foreign> & impo&longs;ito pon­<lb/>dere in <foreign lang="greek">n,</foreign> &longs;it <foreign lang="greek">n</foreign> vbi e&longs;t <foreign lang="greek">o, & <lb/>x</foreign> vbi e&longs;t <foreign lang="greek">r, & k l</foreign> vbi <foreign lang="greek">l q</foreign>. <lb/></s> | <s id="id.000860">E&longs;to librile <foreign lang="el">n c</foreign> re­<lb/>ctum, perpendicularis vero <lb/><foreign lang="el">k l m,</foreign> quæ bifariam diui­<lb/>dat <foreign lang="el">n c,</foreign> & impo&longs;ito pon­<lb/>dere in <foreign lang="el">n,</foreign> &longs;it <foreign lang="el">n</foreign> vbi e&longs;t <foreign lang="el">o, & <lb/>x</foreign> vbi e&longs;t <foreign lang="el">r, & k l</foreign> vbi <foreign lang="el">l q</foreign>. <lb/></s> |
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| <s>Itaque maior erit <foreign lang="greek">l o</foreign> quam <lb/><foreign lang="greek">l r</foreign> ip&longs;o <foreign lang="greek">x l q. </foreign></s> | <s>Itaque maior erit <foreign lang="el">l o</foreign> quam <lb/><foreign lang="el">l r</foreign> ip&longs;o <foreign lang="el">x l q. </foreign></s> |
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| <s>Igitur &longs;u­<lb/>blato pondere nece&longs;&longs;e e&longs;t <lb/>manere. </s> | <s>Igitur &longs;u­<lb/>blato pondere nece&longs;&longs;e e&longs;t <lb/>manere. </s> |
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| <s id="id.000861">Incumbit enim <lb/>ceu pondus exce&longs;&longs;us medietatis, qui e&longs;t in <foreign lang="greek">l o. </foreign></s></p><p type="head"> | <s id="id.000861">Incumbit enim <lb/>ceu pondus exce&longs;&longs;us medietatis, qui e&longs;t in <foreign lang="el">l o. </foreign></s></p><p type="head"> |
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| <s id="id.000862">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000862">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000868">Quæ vt intelligantur &longs;cire conuenit vel libram hic capi, cuius librile <lb/>latitudinem aliquam effatu dignam habet, vel cum quo trutina ita <lb/>connexa e&longs;t, vt ad vnius motum moueatur alterum, & contra: quia <lb/>totum continuum e&longs;t. </s> | <s id="id.000868">Quæ vt intelligantur &longs;cire conuenit vel libram hic capi, cuius librile <lb/>latitudinem aliquam effatu dignam habet, vel cum quo trutina ita <lb/>connexa e&longs;t, vt ad vnius motum moueatur alterum, & contra: quia <lb/>totum continuum e&longs;t. </s> |
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| <s id="id.000869">In extremo autem trutinæ, non eo quidem, <lb/>quod e&longs;t ei cum librili <expan abbr="cõ-">con­</expan><emph.end type="italics"/><lb/><figure id="id.035.01.089.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.089.1.jpg"/><lb/><emph type="italics"/>mune: &longs;ed altero, <expan abbr="c&etilde;trum">centrum</expan> <lb/>circa quod <expan abbr="tanquã">tanquam</expan> <expan abbr="fixũ">fixum</expan>, <lb/>ip&longs;a moueantur, <expan abbr="&longs;itũ">&longs;itum</expan> &longs;it. <lb/></s> | <s id="id.000869">In extremo autem trutinæ, non eo quidem, <lb/>quod e&longs;t ei cum librili <expan abbr="cõ­">con­</expan><emph.end type="italics"/><lb/><figure id="id.035.01.089.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.089.1.jpg"/><lb/><emph type="italics"/>mune: &longs;ed altero, <expan abbr="c&etilde;trum">centrum</expan> <lb/>circa quod <expan abbr="tanquã">tanquam</expan> <expan abbr="fixũ">fixum</expan>, <lb/>ip&longs;a moueantur, <expan abbr="&longs;itũ">&longs;itum</expan> &longs;it. <lb/></s> |
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| <s id="id.000870">Sine horum enim altero <lb/>modo intelligi <expan abbr="nõ">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li­<lb/>nea, admittat dif­<emph.end type="italics"/><lb/><figure id="id.035.01.089.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.089.2.jpg"/><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;ursũ">&longs;ursum</expan> deor&longs;um. </s> | <s id="id.000870">Sine horum enim altero <lb/>modo intelligi <expan abbr="nõ">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li­<lb/>nea, admittat dif­<emph.end type="italics"/><lb/><figure id="id.035.01.089.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.089.2.jpg"/><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;ursũ">&longs;ursum</expan> deor&longs;um. </s> |
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| <s id="id.000876">Totum enim librile &longs;upponitur e&longs;&longs;e materiæ vnigeneris. </s> | <s id="id.000876">Totum enim librile &longs;upponitur e&longs;&longs;e materiæ vnigeneris. </s> |
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| <s id="id.000877">Redit <lb/>igitur libera relicta, &longs;itumque recuperat, vbi paria momenta <expan abbr="æqui-ponderãt">æqui­<lb/>ponderant</expan>. </s> | <s id="id.000877">Redit <lb/>igitur libera relicta, &longs;itumque recuperat, vbi paria momenta <expan abbr="æqui­ponderãt">æqui­<lb/>ponderant</expan>. </s> |
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| <s id="id.000878">Talis <expan abbr="aut&etilde;">autem</expan> e&longs;t is &longs;itus in quo llbrile <expan abbr="parallelũ">parallelum</expan> fit horizonti. <lb/></s> | <s id="id.000878">Talis <expan abbr="aut&etilde;">autem</expan> e&longs;t is &longs;itus in quo llbrile <expan abbr="parallelũ">parallelum</expan> fit horizonti. <lb/></s> |
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| <s id="id.000881">Non itaque per &longs;e redibit: &longs;ed &longs;itum <lb/>detracta decliuem retinebit: alias id graue, quo excedit, &longs;ur&longs;um &longs;ua <lb/>&longs;ponte a&longs;cenderet, contra def. grauis. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000881">Non itaque per &longs;e redibit: &longs;ed &longs;itum <lb/>detracta decliuem retinebit: alias id graue, quo excedit, &longs;ur&longs;um &longs;ua <lb/>&longs;ponte a&longs;cenderet, contra def. grauis. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000883">Itaque librilis <foreign lang="greek">e z. </foreign>] <emph type="italics"/>Quod pars &longs;uperior librilis in vno &longs;itu <lb/>centri &longs;it maior, in altero &longs;it minor, non e&longs;t probatum ab Ari&longs;totele: <lb/>&longs;ed ex fabrica librilis vtriu&longs;que generis res ilico fit euidens, etiam <lb/>pro Ari&longs;totelis characteribus no&longs;tris ad diagrammata adiunctis. <emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.091.jpg" pagenum="52"/> | <s id="id.000883">Itaque librilis <foreign lang="el">e z. </foreign>] <emph type="italics"/>Quod pars &longs;uperior librilis in vno &longs;itu <lb/>centri &longs;it maior, in altero &longs;it minor, non e&longs;t probatum ab Ari&longs;totele: <lb/>&longs;ed ex fabrica librilis vtriu&longs;que generis res ilico fit euidens, etiam <lb/>pro Ari&longs;totelis characteribus no&longs;tris ad diagrammata adiunctis. <emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.091.jpg" pagenum="52"/> |
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| <s><emph type="italics"/>Nam in librili primi modi cum obliquatur C F perpendiculum li­<lb/>brilis, quod ip&longs;um perpetuò bifariam &longs;ecat, digreditur à perpendicu­<lb/>lari intellecta, quam &longs;ecat<emph.end type="italics"/><lb/><figure id="id.035.01.091.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.091.1.jpg"/><lb/><emph type="italics"/>in centro, &longs;icque triangu­<lb/>lum con&longs;tituit comprehen­<lb/>dens aliquam partem al­<lb/>terutrius brachij nempe F <lb/>C E, vel R C F, quæ &longs;ic <lb/>detracta vni, & alteri ad­<lb/>dita, reddit hoc à quo de­<lb/>trahitur minus, & eius <lb/>detractæ partis duplo alte­<lb/>rum <expan abbr="brachiũ">brachium</expan> maius. </s> | <s><emph type="italics"/>Nam in librili primi modi cum obliquatur C F perpendiculum li­<lb/>brilis, quod ip&longs;um perpetuò bifariam &longs;ecat, digreditur à perpendicu­<lb/>lari intellecta, quam &longs;ecat<emph.end type="italics"/><lb/><figure id="id.035.01.091.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.091.1.jpg"/><lb/><emph type="italics"/>in centro, &longs;icque triangu­<lb/>lum con&longs;tituit comprehen­<lb/>dens aliquam partem al­<lb/>terutrius brachij nempe F <lb/>C E, vel R C F, quæ &longs;ic <lb/>detracta vni, & alteri ad­<lb/>dita, reddit hoc à quo de­<lb/>trahitur minus, & eius <lb/>detractæ partis duplo alte­<lb/>rum <expan abbr="brachiũ">brachium</expan> maius. </s> |
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| <s id="id.000889">Manebit igitur <lb/>(præ&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan> <emph.end type="italics"/><lb/><figure id="id.035.01.092.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.092.2.jpg"/><lb/><emph type="italics"/>lanx in&longs;ideat ter­<lb/>ræ vel alicui ful­<lb/>cro. </s> | <s id="id.000889">Manebit igitur <lb/>(præ&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan> <emph.end type="italics"/><lb/><figure id="id.035.01.092.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.092.2.jpg"/><lb/><emph type="italics"/>lanx in&longs;ideat ter­<lb/>ræ vel alicui ful­<lb/>cro. </s> |
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| <s id="id.000890">Sed & in li­<lb/>brilibus huius ge­<lb/>neris reditus & <lb/>non reditus alia <lb/><expan abbr="etiã">etiam</expan> cau&longs;a e&longs;t, &longs;ci­<lb/>licet quia <expan abbr="nullũ">nullum</expan> <expan abbr="c&etilde;trũ">cen<lb/>trum</expan> grauitatis ma­<lb/>net ni&longs;i &longs;u&longs;tinea­<lb/>tur à linea <expan abbr="per-p&etilde;diculari">per­<lb/>pendiculari</expan> ad pla­<lb/>num horizontis. </s> | <s id="id.000890">Sed & in li­<lb/>brilibus huius ge­<lb/>neris reditus & <lb/>non reditus alia <lb/><expan abbr="etiã">etiam</expan> cau&longs;a e&longs;t, &longs;ci­<lb/>licet quia <expan abbr="nullũ">nullum</expan> <expan abbr="c&etilde;trũ">cen<lb/>trum</expan> grauitatis ma­<lb/>net ni&longs;i &longs;u&longs;tinea­<lb/>tur à linea <expan abbr="per­p&etilde;diculari">per­<lb/>pendiculari</expan> ad pla­<lb/>num horizontis. </s> |
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| <s id="id.000891">quod e&longs;t demon&longs;tratum ab Vbaldo prop. 1. lib. de lib. <lb/></s> | <s id="id.000891">quod e&longs;t demon&longs;tratum ab Vbaldo prop. 1. lib. de lib. <lb/></s> |
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| <s id="id.000897">Et &longs;ic patet &longs;olutio tertiæ partis huius problematis ab Ari&longs;totele <lb/>prætermi&longs;&longs;æ. </s> | <s id="id.000897">Et &longs;ic patet &longs;olutio tertiæ partis huius problematis ab Ari&longs;totele <lb/>prætermi&longs;&longs;æ. </s> |
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| <s id="id.000898">Rarò tamen huic demon&longs;trationi licet veræ, experien­<lb/>tia re&longs;pondet, propter in&longs;trumentorum materiam Phy&longs;icam, in qua <lb/>exacte medium con&longs;tituere non datur in puncto geometrico, vtcum­<lb/>que tamen alias re&longs;pondet. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000898">Rarò tamen huic demon&longs;trationi licet veræ, experien­<lb/>tia re&longs;pondet, propter in&longs;trumentorum materiam Phy&longs;icam, in qua <lb/>exacte medium con&longs;tituere non datur in puncto geometrico, vtcum­<lb/>que tamen alias re&longs;pondet. <emph.end type="italics"/></s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.000899">4. <foreign lang="greek">*tou= moxlou= duna/mews ai)/tion. </foreign></s></p><p type="main"> | <s id="id.000899">4. <foreign lang="el">*tou= moxlou= duna/mews ai)/tion. </foreign></s></p><p type="main"> |
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| <s id="id.000900">4. Potentiæ vectis cau&longs;a. </s></p><p type="main"> | <s id="id.000900">4. Potentiæ vectis cau&longs;a. </s></p><p type="main"> |
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| <s id="id.000901"><foreign lang="greek"><gap/></foreign><arrow.to.target n="marg18"/></s></p><p type="margin"> | <s id="id.000901"><foreign lang="el">*dia\ ti/ kinou=si mega/la ba/rh mikrai\ duna/meis tw=| moxlw=|: <lb/>w(/sper e)le/xqh kai\ kat' a)rxh/n: proslabo/nti ba/ros <lb/>e)/ti to\ tou= moxlou=; r(a=|dion de\ to\ e)/latto/n e)sti kinh=sai ba/ros.</foreign></s> |
| | <s id="g0130301"><foreign lang="el"><lb/>e)/latton de/ e)stin a)/neu tou= moxlou=.</foreign></s> |
| | <s id="g0130302"><foreign lang="el">h)\ o(/ti ai)/tio/n e)stin o( moxlo/s <lb/>zugo\n ka/twqen, e)/xon to\ sparti/on, kai\ ei)s a)/nisa dih|rhme/non, <lb/>to\ ga\r u(pomo/xlio/n e)sti to\ sparti/on.</foreign></s> |
| | <s id="g0130302a"><foreign lang="el">me/nei <lb/>ga\r a)/mfw tau=ta, w(/sper to\ ke/ntron, e)pei\ de\ qa=tton u(po\ <lb/>tou= i)/sou ba/rous kinei=tai h( mei/zwn tw=n e)k tou= ke/ntrou.</foreign></s> |
| | <s id="g0130302b"><foreign lang="el">e)/sti de\ <lb/>tri/a ta\ peri\ to\n moxlo/n.</foreign></s> |
| | <s id="g0130302c"><foreign lang="el">to\ me\n u(pomo/xlion, spa/rton, <lb/>kai\ ke/ntron.</foreign></s> |
| | <s id="g0130302d"><foreign lang="el">du/o de\ ba/rh, o(/, te kinw=n, kai\ to\ kinou/menon.</foreign><arrow.to.target n="marg18"/></s></p><p type="margin"> |
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| <s id="id.000902"><margin.target id="marg18"/>Videtur hic <lb/>aliquid de­<lb/>e&longs;&longs;e & fortè. <lb/><emph type="italics"/>Radius au­<lb/>tem minor <lb/>tardius. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000902"><margin.target id="marg18"/>Videtur hic <lb/>aliquid de­<lb/>e&longs;&longs;e & fortè. <lb/><emph type="italics"/>Radius au­<lb/>tem minor <lb/>tardius. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000904">Facilius enim e&longs;t minus mo­<lb/>uere onus: minus vero e&longs;t <lb/>ab&longs;que vecte. </s> | <s id="id.000904">Facilius enim e&longs;t minus mo­<lb/>uere onus: minus vero e&longs;t <lb/>ab&longs;que vecte. </s> |
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| <s id="id.000905">An quia ve­<lb/>ctis cau&longs;a e&longs;t, qui & in&longs;tar <lb/>libræ deor&longs;um habet <expan abbr="agi-nã">agi­<lb/>nam</expan>, & in inæqualia diui&longs;us <lb/>e&longs;t? </s> | <s id="id.000905">An quia ve­<lb/>ctis cau&longs;a e&longs;t, qui & in&longs;tar <lb/>libræ deor&longs;um habet <expan abbr="agi­nã">agi­<lb/>nam</expan>, & in inæqualia diui&longs;us <lb/>e&longs;t? </s> |
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| <s id="id.000906">E&longs;t enim pre&longs;&longs;io pro <lb/>agina. </s> | <s id="id.000906">E&longs;t enim pre&longs;&longs;io pro <lb/>agina. </s> |
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| <s id="id.000907">ambæ enim &longs;tant vt <lb/>centrum. </s> | <s id="id.000907">ambæ enim &longs;tant vt <lb/>centrum. </s> |
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| <s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde­<lb/>re mouetur radius maior. </s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><chap> | <s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde­<lb/>re mouetur radius maior. </s></p></subchap1><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><subchap1> |
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| <p type="main"><s><foreign lang="greek"><gap/></foreign></s></p> | |
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| <p type="main"><s>Sunt vero tria circa <expan abbr="vect&etilde;">vectem</expan> <lb/>pre&longs;&longs;io quidem e&longs;t agina & <lb/><expan abbr="centrũ">centrum</expan>, duo etiam pondera <lb/>mouens &longs;cilicet, & mobile. </s></p><p type="head"> | <p type="main"><s>Sunt vero tria circa <expan abbr="vect&etilde;">vectem</expan> <lb/>pre&longs;&longs;io quidem e&longs;t agina & <lb/><expan abbr="centrũ">centrum</expan>, duo etiam pondera <lb/>mouens &longs;cilicet, & mobile. </s></p><p type="head"> |
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| <s id="id.000913">vectis <lb/>enim per &longs;e machina e&longs;t. </s> | <s id="id.000913">vectis <lb/>enim per &longs;e machina e&longs;t. </s> |
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| <s id="id.000914">E&longs;t igitur vectis palus oblongior vno <expan abbr="&longs;uorũ">&longs;uorum</expan> <lb/>extremorum acutus, altero obtu&longs;us ex ligno vel ferro inflexibi­<lb/>lis ad <expan abbr="commou&etilde;-">commouen­</expan><emph.end type="italics"/><lb/><figure id="id.035.01.094.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.094.1.jpg"/><lb/><emph type="italics"/>da onera factus, <lb/>vt e&longs;t A B. pars <lb/>obtu&longs;a caput: pars acuta lingula vocatur. </s> | <s id="id.000914">E&longs;t igitur vectis palus oblongior vno <expan abbr="&longs;uorũ">&longs;uorum</expan> <lb/>extremorum acutus, altero obtu&longs;us ex ligno vel ferro inflexibi­<lb/>lis ad <expan abbr="commou&etilde;­">commouen­</expan><emph.end type="italics"/><lb/><figure id="id.035.01.094.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.094.1.jpg"/><lb/><emph type="italics"/>da onera factus, <lb/>vt e&longs;t A B. pars <lb/>obtu&longs;a caput: pars acuta lingula vocatur. </s> |
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| <s id="id.000915">Hoc vtendi modus duplex <lb/>e&longs;t. </s> | <s id="id.000915">Hoc vtendi modus duplex <lb/>e&longs;t. </s> |
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| <s id="id.000916">Primus cum lingula &longs;ubditur oneri commouendo, & vecti ip&longs;i <lb/>quam proxime lingulæ &longs;ubditur corpu&longs;culum firmum, quod Græcis<emph.end type="italics"/><lb/><foreign lang="greek">u(pomo/xlion,</foreign> <emph type="italics"/>Vitruuio preßio dicitur. </s> | <s id="id.000916">Primus cum lingula &longs;ubditur oneri commouendo, & vecti ip&longs;i <lb/>quam proxime lingulæ &longs;ubditur corpu&longs;culum firmum, quod Græcis<emph.end type="italics"/><lb/><foreign lang="el">u(pomo/xlion,</foreign> <emph type="italics"/>Vitruuio preßio dicitur. </s> |
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| <s id="id.000917">Huius figura e&longs;t ferè quæ­<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana æqualia &longs;imilia, parallela, &longs;int trian­<emph.end type="italics"/><lb/><figure id="id.035.01.094.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.094.2.jpg"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. </s> | <s id="id.000917">Huius figura e&longs;t ferè quæ­<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana æqualia &longs;imilia, parallela, &longs;int trian­<emph.end type="italics"/><lb/><figure id="id.035.01.094.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.094.2.jpg"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. </s> |
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| <s id="id.000922">Vtrumque vectis v&longs;um Vitruuius cap. 8. lib. 10. &longs;ic <lb/>explicuit. </s> | <s id="id.000922">Vtrumque vectis v&longs;um Vitruuius cap. 8. lib. 10. &longs;ic <lb/>explicuit. </s> |
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| <s id="id.000923">Ferreus vectis cum e&longs;t commotus ad onus, quod manuum <lb/>multitudo non pote&longs;t mouere, &longs;uppo&longs;ita vti centro cito porrecta pre&longs;­<lb/>&longs;ione, quòd Græci<emph.end type="italics"/> <foreign lang="greek">u(pomo/xlion</foreign> <emph type="italics"/>appellant, & vectis lingua &longs;ub <lb/>onus &longs;ubdita, caput eius vnius hominis viribus pre&longs;&longs;um, id onus ex­<lb/>tollet. </s> | <s id="id.000923">Ferreus vectis cum e&longs;t commotus ad onus, quod manuum <lb/>multitudo non pote&longs;t mouere, &longs;uppo&longs;ita vti centro cito porrecta pre&longs;­<lb/>&longs;ione, quòd Græci<emph.end type="italics"/> <foreign lang="el">u(pomo/xlion</foreign> <emph type="italics"/>appellant, & vectis lingua &longs;ub <lb/>onus &longs;ubdita, caput eius vnius hominis viribus pre&longs;&longs;um, id onus ex­<lb/>tollet. </s> |
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| <s id="id.000924">Item &longs;i &longs;ub onus vectis ferrei lingula &longs;ubiecta fuerit, neque <lb/>caput eius preßione in imum: &longs;ed aduer&longs;us in altitudinem extolletur, <lb/>lingula fulcta in areæ &longs;olo habebit eam pro onere, oneris <expan abbr="aut&etilde;">autem</expan> ip&longs;ius <lb/>angulum pro preßione: ita non tam faciliter quam per preßionem, <lb/>&longs;ed aduer&longs;us nihilominus in pondus oneris erit <expan abbr="excitatũ">excitatum</expan>. </s> | <s id="id.000924">Item &longs;i &longs;ub onus vectis ferrei lingula &longs;ubiecta fuerit, neque <lb/>caput eius preßione in imum: &longs;ed aduer&longs;us in altitudinem extolletur, <lb/>lingula fulcta in areæ &longs;olo habebit eam pro onere, oneris <expan abbr="aut&etilde;">autem</expan> ip&longs;ius <lb/>angulum pro preßione: ita non tam faciliter quam per preßionem, <lb/>&longs;ed aduer&longs;us nihilominus in pondus oneris erit <expan abbr="excitatũ">excitatum</expan>. </s> |
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| <s id="id.000948"><emph type="italics"/>Vectis e&longs;t libra deor&longs;um habens <expan abbr="aginã">aginam</expan>, & brachium vnum <lb/>longius (agina enim &longs;eu centrum fit hypomochlium, & <lb/>quidem ita vt ip&longs;am diuidat in partes inæquales, è quibus <lb/>quæ ad caput longior &longs;it, alioqui aliter in v&longs;um adhibitus <lb/>vis mouens non magis mouere pote&longs;t, quam &longs;ine vecte.)<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000948"><emph type="italics"/>Vectis e&longs;t libra deor&longs;um habens <expan abbr="aginã">aginam</expan>, & brachium vnum <lb/>longius (agina enim &longs;eu centrum fit hypomochlium, & <lb/>quidem ita vt ip&longs;am diuidat in partes inæquales, è quibus <lb/>quæ ad caput longior &longs;it, alioqui aliter in v&longs;um adhibitus <lb/>vis mouens non magis mouere pote&longs;t, quam &longs;ine vecte.)<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000949"><emph type="italics"/>Ergo vectis facile deprimetur, depre&longs;&longs;u&longs;que manebit, & ad eius <lb/>motum pondus incumbens mouebitur. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.000949"><emph type="italics"/>Ergo vectis facile deprimetur, depre&longs;&longs;u&longs;que manebit, & ad eius <lb/>motum pondus incumbens mouebitur. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.000950"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.000950"><foreign lang="el">o(\<lb/> ou)=n to\ kinou/menon ba/ros pro\s to\ kinou=n, to\ mh=kos pro\s to\ mh=kos <lb/>a)ntipe/ponqen.</foreign></s> |
| | <s id="g0130304"><foreign lang="el">ai)ei\ de\ o(/sw| a)\n mei=zon a)festh/koi, tou= u(pomoxli/ou, <lb/>r(a=|on kinh/sei.</foreign></s> |
| | <s id="g0130305"><foreign lang="el">ai)ti/a de/ e)stin h( prolexqei=sa, o(/ti h( <lb/>plei=on a)pe/xousa e)k tou= ke/ntrou, mei/zona ku/klon gra/fei.</foreign></s> |
| | <s id="g0130306"><foreign lang="el">w(/ste <lb/>a)po\ th=s au)th=s i)sxu/os ple/on metasth/setai to\ kinou=n to\ <lb/>plei=on tou= u(pomoxli/ou a)pe/xon.</foreign></s> |
| | <s id="g0130307"><foreign lang="el">e)/stw moxlo\s e)f' ou(= *a*b. <lb/>ba/ros de\ e)f' w(=| to\ *g.to\ de\ kinou=n, e)f' w(=| to\ *d. u(pomo/xlion <lb/>e)f' w(=| to\ *e. </foreign></s> |
| | <s id="g0130308"><foreign lang="el">to\ de\ e)f' w(=| to\ *d kinh=san, e)f' w(=| to\ *h: kekinhme/non <lb/>de\ to\ e)f' ou(= *g. ba/ros e)f' ou(= *k.</foreign></s></p><p type="main"> |
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| <s id="id.000951">Quod autem e&longs;t mobile <lb/>ad mouens, id e&longs;t longitu­<lb/>do ad longitudinem reci­<lb/>procè. </s> | <s id="id.000951">Quod autem e&longs;t mobile <lb/>ad mouens, id e&longs;t longitu­<lb/>do ad longitudinem reci­<lb/>procè. </s> |
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| <s id="id.000952">Semper &longs;ane quantò <lb/>longitudo magis di&longs;tabit à <lb/>pre&longs;&longs;ione, facilius mouebit. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.097.jpg" pagenum="58"/> | <s id="id.000952">Semper &longs;ane quantò <lb/>longitudo magis di&longs;tabit à <lb/>pre&longs;&longs;ione, facilius mouebit. </s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.097.jpg" pagenum="58"/> |
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| <s><foreign lang="greek"><gap/></foreign>Cau&longs;a vero ante dicta e&longs;t: <lb/>quoniam radius maior ma­<lb/>iorem de&longs;cribit circulum. <lb/></s> | <s>Cau&longs;a vero ante dicta e&longs;t: <lb/>quoniam radius maior ma­<lb/>iorem de&longs;cribit circulum. <lb/></s> |
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| <s id="id.000953">Itaque ab eadem vi plus <lb/>mutabitur mouens illud, <lb/>quod plus di&longs;tat à pre&longs;&longs;io­<lb/>ne. </s> | <s id="id.000953">Itaque ab eadem vi plus <lb/>mutabitur mouens illud, <lb/>quod plus di&longs;tat à pre&longs;&longs;io­<lb/>ne. </s> |
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| <s id="id.000954">Sit vectis <foreign lang="greek">a b,</foreign> pondus <lb/>vero <foreign lang="greek">g,</foreign> mouens autem <foreign lang="greek">d,</foreign><lb/>pre&longs;&longs;io <foreign lang="greek">e. </foreign>Ip&longs;um vero quod <lb/>mouerit <foreign lang="greek">d,</foreign> &longs;it vbi <foreign lang="greek">h,</foreign> & pon­<lb/>dus <foreign lang="greek">g</foreign> motum vbi <foreign lang="greek">k. </foreign></s></p><p type="head"> | <s id="id.000954">Sit vectis <foreign lang="el">a b,</foreign> pondus <lb/>vero <foreign lang="el">g,</foreign> mouens autem <foreign lang="el">d,</foreign><lb/>pre&longs;&longs;io <foreign lang="el">e. </foreign>Ip&longs;um vero quod <lb/>mouerit <foreign lang="el">d,</foreign> &longs;it vbi <foreign lang="el">h,</foreign> & pon­<lb/>dus <foreign lang="el">g</foreign> motum vbi <foreign lang="el">k. </foreign></s></p><p type="head"> |
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| <s id="id.000955">COMMENTARIVS. </s></p><p type="main"> | <s id="id.000955">COMMENTARIVS. </s></p><p type="main"> |
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| <s id="id.000971">Secundum. <emph type="italics"/>Quò pars ab hypomochlio ad lingulam minor erit: <lb/>eò minor potentia ad &longs;u&longs;tinendum &longs;ufficiet. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000971">Secundum. <emph type="italics"/>Quò pars ab hypomochlio ad lingulam minor erit: <lb/>eò minor potentia ad &longs;u&longs;tinendum &longs;ufficiet. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000972">Reciproce.] <foreign lang="greek">*antipepo/nqhsis. </foreign><emph type="italics"/>Reciprocatio quid &longs;it de&longs;umen­<lb/>dum e&longs;t ex Eucl. def. 2. lib. 6. vbi reciprocæ figuræ definiuntur cum in <lb/>vtraque figura antecedentes & con&longs;equentes rationum termini fue­<lb/>rint, id e&longs;t quando in altera quidem e&longs;t terminus antecedens primæ <lb/>rationis, & con&longs;equens &longs;ecundæ: in altera vero e&longs;t con&longs;equens pri­<lb/>mæ, & antecedens &longs;ecundæ. </s> | <s id="id.000972">Reciproce.] <foreign lang="el">*antipepo/nqhsis. </foreign><emph type="italics"/>Reciprocatio quid &longs;it de&longs;umen­<lb/>dum e&longs;t ex Eucl. def. 2. lib. 6. vbi reciprocæ figuræ definiuntur cum in <lb/>vtraque figura antecedentes & con&longs;equentes rationum termini fue­<lb/>rint, id e&longs;t quando in altera quidem e&longs;t terminus antecedens primæ <lb/>rationis, & con&longs;equens &longs;ecundæ: in altera vero e&longs;t con&longs;equens pri­<lb/>mæ, & antecedens &longs;ecundæ. </s> |
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| <s id="id.000974">Quæ vt conuenire huic loco intelligan­<lb/>tur, &longs;umendum e&longs;t pondus mouendum &longs;imul cum parte vectis ab hy­<lb/>pomochlio ad lingulam cui appenditur pro vna figura: & potentia <lb/>mouens cum reliqua parte vectis pro altera figura. </s> | <s id="id.000974">Quæ vt conuenire huic loco intelligan­<lb/>tur, &longs;umendum e&longs;t pondus mouendum &longs;imul cum parte vectis ab hy­<lb/>pomochlio ad lingulam cui appenditur pro vna figura: & potentia <lb/>mouens cum reliqua parte vectis pro altera figura. </s> |
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| <s id="id.000982">Pars enim vectis ab hy­<lb/>pomochlio ad caput radij in&longs;tar e&longs;t maioris, qui depre&longs;&longs;us & ideo vo­<lb/>lutus circa hypomochlium fixum tanquam <expan abbr="c&etilde;trum">centrum</expan>, de&longs;cribit arcum <lb/>tanto maiorem: quanto ip&longs;e radius maior erat. </s> | <s id="id.000982">Pars enim vectis ab hy­<lb/>pomochlio ad caput radij in&longs;tar e&longs;t maioris, qui depre&longs;&longs;us & ideo vo­<lb/>lutus circa hypomochlium fixum tanquam <expan abbr="c&etilde;trum">centrum</expan>, de&longs;cribit arcum <lb/>tanto maiorem: quanto ip&longs;e radius maior erat. </s> |
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| <s id="id.000983">Adde igitur & ex<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.099.jpg" pagenum="60"/><emph type="italics"/>antecedentibus, velocius quoque moueri, quod hîc e&longs;t<emph.end type="italics"/> <foreign lang="greek">ra=|on kai\ ple/on <lb/>ki/neisqai,</foreign> <emph type="italics"/>facilius & plus moueri. </s> | <s id="id.000983">Adde igitur & ex<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.099.jpg" pagenum="60"/><emph type="italics"/>antecedentibus, velocius quoque moueri, quod hîc e&longs;t<emph.end type="italics"/> <foreign lang="el">ra=|on kai\ ple/on <lb/>ki/neisqai,</foreign> <emph type="italics"/>facilius & plus moueri. </s> |
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| <s id="id.000984">Ex his autem colligendum e&longs;t il­<lb/>lud, quod e&longs;t ab Archimede profectum problema admirabile. </s> | <s id="id.000984">Ex his autem colligendum e&longs;t il­<lb/>lud, quod e&longs;t ab Archimede profectum problema admirabile. </s> |
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| <s id="id.000987">Quod in quouis dato pondere cum rèrum natura non <lb/>patiatur, problema alioqui geometricè demon&longs;tratum, in v&longs;u ob ma­<lb/>teriæ &longs;atis longæ & firmæ <expan abbr="defectũ">defectum</expan> &longs;uæ rationi re&longs;pondere <expan abbr="nõ">non</expan> pote&longs;t. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.000987">Quod in quouis dato pondere cum rèrum natura non <lb/>patiatur, problema alioqui geometricè demon&longs;tratum, in v&longs;u ob ma­<lb/>teriæ &longs;atis longæ & firmæ <expan abbr="defectũ">defectum</expan> &longs;uæ rationi re&longs;pondere <expan abbr="nõ">non</expan> pote&longs;t. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000988">Sit vectis <foreign lang="greek">a b</foreign>] <emph type="italics"/>huius diagrammatis expo&longs;itio &longs;i non imperfe­<lb/>cta e&longs;t, adfertur tantum ad o&longs;tendendum quod pondus<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>ab eo cum <emph.end type="italics"/><lb/><figure id="id.035.01.099.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.099.1.jpg"/><lb/><emph type="italics"/>erat in<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>per depreßionem<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="greek">k. </foreign></s> | <s id="id.000988">Sit vectis <foreign lang="el">a b</foreign>] <emph type="italics"/>huius diagrammatis expo&longs;itio &longs;i non imperfe­<lb/>cta e&longs;t, adfertur tantum ad o&longs;tendendum quod pondus<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>ab eo cum <emph.end type="italics"/><lb/><figure id="id.035.01.099.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.099.1.jpg"/><lb/><emph type="italics"/>erat in<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>per depreßionem<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">h</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="el">k. </foreign></s> |
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| <s><emph type="italics"/>Sed adhuc <lb/>paulo ob&longs;curius. </s> | <s><emph type="italics"/>Sed adhuc <lb/>paulo ob&longs;curius. </s> |
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| <s id="id.000989">Apertius igitur &longs;ic. </s> | <s id="id.000989">Apertius igitur &longs;ic. </s> |
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| <s id="id.000990">Sit vectis<emph.end type="italics"/> <foreign lang="greek">a b,</foreign> <emph type="italics"/>pondus vero<emph.end type="italics"/> <foreign lang="greek">g,</foreign><lb/><emph type="italics"/>mouens autem<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>preßio<emph.end type="italics"/> <foreign lang="greek">e. </foreign><emph type="italics"/></s> | <s id="id.000990">Sit vectis<emph.end type="italics"/> <foreign lang="el">a b,</foreign> <emph type="italics"/>pondus vero<emph.end type="italics"/> <foreign lang="el">g,</foreign><lb/><emph type="italics"/>mouens autem<emph.end type="italics"/> <foreign lang="el">d,</foreign> <emph type="italics"/>preßio<emph.end type="italics"/> <foreign lang="el">e. </foreign><emph type="italics"/></s> |
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| <s>Cum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>quod moueat, &longs;it vbi<emph.end type="italics"/> <foreign lang="greek">h</foreign><emph type="italics"/>: <lb/>& pondus<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>motum erit vbi<emph.end type="italics"/> <foreign lang="greek">k. </foreign></s> | <s>Cum ip&longs;um<emph.end type="italics"/> <foreign lang="el">d,</foreign> <emph type="italics"/>quod moueat, &longs;it vbi<emph.end type="italics"/> <foreign lang="el">h</foreign><emph type="italics"/>: <lb/>& pondus<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>motum erit vbi<emph.end type="italics"/> <foreign lang="el">k. </foreign></s> |
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| <s><emph type="italics"/>quod ita &longs;e habere o&longs;tendit tertia <lb/>proprietas circuli, ex qua cap. 1. huius lib. o&longs;ten&longs;um e&longs;t diametri ex­<lb/>tremo vno deor&longs;um moto, alterum eodem tempore &longs;ur&longs;um moueri. </s> | <s><emph type="italics"/>quod ita &longs;e habere o&longs;tendit tertia <lb/>proprietas circuli, ex qua cap. 1. huius lib. o&longs;ten&longs;um e&longs;t diametri ex­<lb/>tremo vno deor&longs;um moto, alterum eodem tempore &longs;ur&longs;um moueri. </s> |
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| <s id="id.000991">E&longs;t <lb/>autem hic vectis<emph.end type="italics"/> <foreign lang="greek">b a,</foreign> <emph type="italics"/>vt diameter circuli cuius extremum<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>deor­<lb/>&longs;um cum ad<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>mouetur, alterum<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&longs;ur&longs;um &longs;imul moueri vt ad<emph.end type="italics"/> <foreign lang="greek">k,</foreign> <emph type="italics"/>ne­<lb/>ce&longs;&longs;um e&longs;t. </s> | <s id="id.000991">E&longs;t <lb/>autem hic vectis<emph.end type="italics"/> <foreign lang="el">b a,</foreign> <emph type="italics"/>vt diameter circuli cuius extremum<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>deor­<lb/>&longs;um cum ad<emph.end type="italics"/> <foreign lang="el">h</foreign> <emph type="italics"/>mouetur, alterum<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>&longs;ur&longs;um &longs;imul moueri vt ad<emph.end type="italics"/> <foreign lang="el">k,</foreign> <emph type="italics"/>ne­<lb/>ce&longs;&longs;um e&longs;t. </s> |
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| <s id="id.000992">Et ex his denique contendit Ari&longs;toteles o&longs;tendere circula­<lb/>rem motum omnium machinationum principia in &longs;e continere, vt <lb/>multis po&longs;tea &longs;pecialibus exemplis declarabit, in quibus & alijs om­<lb/>nibus, qui &longs;citè di&longs;tinguet, quid oneri re&longs;pondeat, pro quo &longs;it vectis, <lb/>quale &longs;it hypomochlium, vnde vis mouens habeatur, hic habebit <lb/>abundè, quid &longs;entiendum &longs;it. <emph.end type="italics"/></s></p></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><chap><p type="main"> | <s id="id.000992">Et ex his denique contendit Ari&longs;toteles o&longs;tendere circula­<lb/>rem motum omnium machinationum principia in &longs;e continere, vt <lb/>multis po&longs;tea &longs;pecialibus exemplis declarabit, in quibus & alijs om­<lb/>nibus, qui &longs;citè di&longs;tinguet, quid oneri re&longs;pondeat, pro quo &longs;it vectis, <lb/>quale &longs;it hypomochlium, vnde vis mouens habeatur, hic habebit <lb/>abundè, quid &longs;entiendum &longs;it. <emph.end type="italics"/></s></p></subchap1></chap><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><chap><subchap1><p type="main"> |
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| <s id="id.000993">5. <foreign lang="greek">*dia\ ti/ oi( meso/neoi ma/lista <lb/> th\n nau=n kinou=si. </foreign></s></p><p type="main"> | <s id="id.000993">5. <foreign lang="el">*dia\ ti/ oi( meso/neoi ma/lista <lb/> th\n nau=n kinou=si. </foreign></s></p><p type="main"> |
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| <s id="id.000994">5. Cur nauim mouent ma­<lb/>xime remiges, qui in <lb/>media naui &longs;edent. </s></p><p type="main"> | <s id="id.000994">5. Cur nauim mouent ma­<lb/>xime remiges, qui in <lb/>media naui &longs;edent. </s></p><p type="main"> |
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| <s><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="g0130401a"><foreign lang="el">*dia\ ti/ oi( meso/neoi ma/lista th\n nau=n kinou=sin; </foreign></s> |
| | <s id="g0130402"><foreign lang="el">h)\ dio/ti <lb/>h( kw/ph moxlo/s e)stin, u(pomo/xlion me\n ga\r o( skalmo\s gi/netai.</foreign></s> |
| | <s id="g0130402a"><foreign lang="el"><lb/>me/nei ga\r dh\ ou(=tos.</foreign></s> |
| | <s id="g0130402b"><foreign lang="el">to\ de\ ba/ros h( qa/latta, h(\n <lb/>a)pwqei= h( kw/ph.</foreign></s> |
| | <s id="g0130402c"><foreign lang="el">o( de\ kinw=n to\n moxlo\n o( nau/ths e)sti/n.</foreign></s> |
| | <s id="g0130403"><foreign lang="el"><lb/>a)ei\ de\ ple/on ba/ros kinei=, o(/sw| a)\n ple/on a)festh/kh| tou= u(pomoxli/ou <lb/>o( kinw=n to\ ba/ros.</foreign></s> |
| | <s id="g0130404"><foreign lang="el">mei/zwn ga\r ou(/tw gi/netai h( e)k <lb/>tou= ke/ntrou.</foreign></s> |
| | <s id="g0130404a"><foreign lang="el">o( de\ skalmo\s u(pomo/xlion w)\n ke/ntron e)sti/n.</foreign></s> |
| | <s id="g0130405"><foreign lang="el">e)n <lb/>me/sh| de\ th=| nhi\, plei=ston th=s kw/phs e)nto/s e)sti.</foreign></s> |
| | <s id="g0130405a"><foreign lang="el">kai\ ga\r h( <lb/>nau=s tau/th| eu)ruta/th e)sti/n.</foreign></s> |
| | <s id="g0130405b"><foreign lang="el">w(/ste plei=on e)p' a)mfo/tera e)nde/xesqai <lb/>me/ros th=s kw/phs e(kate/rou toi/xou e)nto\s ei)=nai th=s <lb/>new/s.</foreign></s> |
| | <s id="g0130406"><foreign lang="el">kinei=tai me\n ou)=n h( nau=s, dia\ to\ a)pereidome/nhs th=s kw/phs <lb/>ei)s th\n qa/lassan, to\ a)/kron th=s kw/phs to\ e)nto\s proi+e/nai <lb/>ei)s to\ pro/sqen: th\n de\ nau=n prosdedeme/nhn tw=| skalmw=| sumproi+e/nai, <lb/>h(=| to\ a)/kron th=s kw/phs.</foreign></s> |
| | <s id="g0130408"><foreign lang="el">h(=| ga\r plei/sthn qa/lassan <lb/>diairei= h( kw/ph, tau/th| a)na/gkh ma/lista prowqei=sqai.</foreign></s> |
| | <s id="g0130408a"><foreign lang="el">plei/sthn <lb/>de\ diairei=, h(=| plei=ston me/ros a)po\ tou= skalmou= th=s kw/phs <lb/>e)sti/.</foreign></s> |
| | <s id="g0130409"><foreign lang="el">dia\ tou=to oi( meso/neoi ma/lista kinou=sin: me/giston ga\r <lb/>e)n me/sh| nhi\+, to\ a)po\ tou= skalmou= th=s kw/phs to\ e)nto/s e)stin.</foreign></s></p><p type="main"> |
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| <s id="id.000996">Cur nauim <expan abbr="mou&etilde;t">mouent</expan> maxi­<lb/>me remiges mediani? </s> | <s id="id.000996">Cur nauim <expan abbr="mou&etilde;t">mouent</expan> maxi­<lb/>me remiges mediani? </s> |
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| <s id="id.000997">An qa <lb/>remus e&longs;t vectis, pre&longs;&longs;io <expan abbr="&longs;i-quid&etilde;">&longs;i­<lb/>quidem</expan> &longs;calmus efficitur. </s> | <s id="id.000997">An qa <lb/>remus e&longs;t vectis, pre&longs;&longs;io <expan abbr="&longs;i­quid&etilde;">&longs;i­<lb/>quidem</expan> &longs;calmus efficitur. </s> |
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| <s id="id.000998">Hic <lb/>enim manet. </s> | <s id="id.000998">Hic <lb/>enim manet. </s> |
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| <s id="id.001000">Sed &longs;emper plus <expan abbr="põderis">ponderis</expan> <lb/>mouet, quanto plus motor <lb/>di&longs;titerit à pre&longs;&longs;ione. </s> | <s id="id.001000">Sed &longs;emper plus <expan abbr="põderis">ponderis</expan> <lb/>mouet, quanto plus motor <lb/>di&longs;titerit à pre&longs;&longs;ione. </s> |
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| <s id="id.001001">Ibi <lb/>enim maior fit radius, & <lb/>&longs;calmus pre&longs;&longs;io <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan> <expan abbr="cen-trũ">cen­<lb/>trum</expan> e&longs;t. </s> | <s id="id.001001">Ibi <lb/>enim maior fit radius, & <lb/>&longs;calmus pre&longs;&longs;io <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan> <expan abbr="cen­trũ">cen­<lb/>trum</expan> e&longs;t. </s> |
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| <s id="id.001002">In nauis <expan abbr="aut&etilde;">autem</expan> medio <lb/><expan abbr="plurimũ">plurimum</expan> remi intus e&longs;t. </s> | <s id="id.001002">In nauis <expan abbr="aut&etilde;">autem</expan> medio <lb/><expan abbr="plurimũ">plurimum</expan> remi intus e&longs;t. </s> |
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| <s id="id.001003">Ete­<lb/>nim nauis ea parte lati&longs;&longs;ima <lb/>exi&longs;tit: ideo vtrinque remi <lb/>partem maiorem intus in <lb/>vtro que latere nauis <expan abbr="cõtin-git">contin­<lb/>git</expan> e&longs;&longs;e. </s> | <s id="id.001003">Ete­<lb/>nim nauis ea parte lati&longs;&longs;ima <lb/>exi&longs;tit: ideo vtrinque remi <lb/>partem maiorem intus in <lb/>vtro que latere nauis <expan abbr="cõtin­git">contin­<lb/>git</expan> e&longs;&longs;e. </s> |
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| <s id="id.001004"><expan abbr="Itaq;">Itaque</expan> mouetur na­<lb/>uis, quia dum remus inni­<lb/>titur mari, <expan abbr="extremũ">extremum</expan> remi, <lb/>quod intus e&longs;t antror&longs;um <lb/>procedit: Tum que nauim <lb/>&longs;calmo <expan abbr="alligatã">alligatam</expan> procedere <lb/>nece&longs;&longs;e e&longs;t eò, vbi e&longs;t <expan abbr="extre-mũ">extre­<lb/>mum</expan> remi. </s> | <s id="id.001004"><expan abbr="Itaq;">Itaque</expan> mouetur na­<lb/>uis, quia dum remus inni­<lb/>titur mari, <expan abbr="extremũ">extremum</expan> remi, <lb/>quod intus e&longs;t antror&longs;um <lb/>procedit: Tum que nauim <lb/>&longs;calmo <expan abbr="alligatã">alligatam</expan> procedere <lb/>nece&longs;&longs;e e&longs;t eò, vbi e&longs;t <expan abbr="extre­mũ">extre­<lb/>mum</expan> remi. </s> |
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| <s id="id.001005">Vbi enim remus <lb/><expan abbr="plurimũ">plurimum</expan> maris diuidit, eò <lb/>maxime nece&longs;&longs;e e&longs;t impel­<lb/>li. </s> | <s id="id.001005">Vbi enim remus <lb/><expan abbr="plurimũ">plurimum</expan> maris diuidit, eò <lb/>maxime nece&longs;&longs;e e&longs;t impel­<lb/>li. </s> |
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| <s id="id.001023">An­<lb/>tiquißima nauium Argô à Fabro nauali, qui eam ædificauit, &longs;i <lb/>Apollonio creditur, nuncupata e&longs;t. </s> | <s id="id.001023">An­<lb/>tiquißima nauium Argô à Fabro nauali, qui eam ædificauit, &longs;i <lb/>Apollonio creditur, nuncupata e&longs;t. </s> |
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| <s id="id.001024">Sic enim in<emph.end type="italics"/> <foreign lang="greek">*argonautikw=n. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.102.jpg" pagenum="63"/><p type="main"> | <s id="id.001024">Sic enim in<emph.end type="italics"/> <foreign lang="el">*argonautikw=n. </foreign></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.102.jpg" pagenum="63"/><p type="main"> |
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| <s id="id.001025"><foreign lang="greek">*nh=a d' e)pikrate/ws ar)gou= u(poqhmosu/nh|si</foreign></s></p><p type="main"> | <s id="id.001025"><foreign lang="el">*nh=a d' e)pikrate/ws ar)gou= u(poqhmosu/nh|si</foreign></s></p><p type="main"> |
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| <s id="id.001026"><foreign lang="greek">*ezwsan, pa/mprwton e)u+strefei= e)ndoqen o(/plw|. </foreign><lb/><emph type="italics"/>quæ &longs;ic reddidit Lazarus Bayfius. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001026"><foreign lang="el">*ezwsan, pa/mprwton e)u+strefei= e)ndoqen o(/plw|. </foreign><lb/><emph type="italics"/>quæ &longs;ic reddidit Lazarus Bayfius. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001027">Imprimis nauem diuinis artibus Argi, </s> | <s id="id.001027">Imprimis nauem diuinis artibus Argi, </s> |
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| <s id="id.001040">Remigum autem antiquitus, vt & hodie, <lb/>alij voluntarij: alij mercede <expan abbr="cõducti">conducti</expan>: alij vt adacti, vt in bello capti, <lb/>aut ab Archipyratis in locis maritimis <expan abbr="compreh&etilde;&longs;i">comprehen&longs;i</expan>, aut ob &longs;celera ad <lb/>remos à iudicibus damnati, <expan abbr="cõpediti">compediti</expan>, & alligati &longs;ine mercede etiam <lb/>nudi &longs;ub flagellis remigant. </s> | <s id="id.001040">Remigum autem antiquitus, vt & hodie, <lb/>alij voluntarij: alij mercede <expan abbr="cõducti">conducti</expan>: alij vt adacti, vt in bello capti, <lb/>aut ab Archipyratis in locis maritimis <expan abbr="compreh&etilde;&longs;i">comprehen&longs;i</expan>, aut ob &longs;celera ad <lb/>remos à iudicibus damnati, <expan abbr="cõpediti">compediti</expan>, & alligati &longs;ine mercede etiam <lb/>nudi &longs;ub flagellis remigant. </s> |
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| <s id="id.001041">Omnes intres ordines reduxit quidam <lb/>Scholia&longs;tes Ari&longs;tophanis in Ranis locum illum,<emph.end type="italics"/> <foreign lang="greek">*kai\ a)popardei=n e)s <lb/>to\ sto/ma tw=| qala/maki,</foreign> <emph type="italics"/>interpretans, dum dicit eos, qui in inferiore <lb/>parte nauis <expan abbr="eß&etilde;t">eßent</expan><emph.end type="italics"/> <foreign lang="greek">qalami=tas</foreign> <emph type="italics"/>&longs;eu<emph.end type="italics"/> <foreign lang="greek">qala/makas,</foreign> <emph type="italics"/>qui in medio<emph.end type="italics"/> <foreign lang="greek">zugi=tas,</foreign><lb/><emph type="italics"/>qui in &longs;uperiore<emph.end type="italics"/> <foreign lang="greek">qrani=tas</foreign> <emph type="italics"/>appellatos fui&longs;&longs;e. </s> | <s id="id.001041">Omnes intres ordines reduxit quidam <lb/>Scholia&longs;tes Ari&longs;tophanis in Ranis locum illum,<emph.end type="italics"/> <foreign lang="el">*kai\ a)popardei=n e)s <lb/>to\ sto/ma tw=| qala/maki,</foreign> <emph type="italics"/>interpretans, dum dicit eos, qui in inferiore <lb/>parte nauis <expan abbr="eß&etilde;t">eßent</expan><emph.end type="italics"/> <foreign lang="el">qalami=tas</foreign> <emph type="italics"/>&longs;eu<emph.end type="italics"/> <foreign lang="el">qala/makas,</foreign> <emph type="italics"/>qui in medio<emph.end type="italics"/> <foreign lang="el">zugi=tas,</foreign><lb/><emph type="italics"/>qui in &longs;uperiore<emph.end type="italics"/> <foreign lang="el">qrani=tas</foreign> <emph type="italics"/>appellatos fui&longs;&longs;e. </s> |
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| <s id="id.001042">Vnde nonnulli exi&longs;tima­<lb/>runt fui&longs;&longs;e naues, quæ in parte laterali &longs;upra aquas eminente, tria fo­<lb/>ramina<emph.end type="italics"/> <foreign lang="greek">kat' i)/cin</foreign> <emph type="italics"/>eius partis habui&longs;&longs;e, <expan abbr="quorũ">quorum</expan> &longs;ingula &longs;uum remum <lb/>haberet alligatum. </s> | <s id="id.001042">Vnde nonnulli exi&longs;tima­<lb/>runt fui&longs;&longs;e naues, quæ in parte laterali &longs;upra aquas eminente, tria fo­<lb/>ramina<emph.end type="italics"/> <foreign lang="el">kat' i)/cin</foreign> <emph type="italics"/>eius partis habui&longs;&longs;e, <expan abbr="quorũ">quorum</expan> &longs;ingula &longs;uum remum <lb/>haberet alligatum. </s> |
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| <s id="id.001043">Vnde cum hi remi &longs;itu pro differentia loci &longs;ur­<lb/>&longs;um & deor&longs;um e&longs;&longs;ent di&longs;tincti: ita quoque &longs;uos remiges haberent <lb/>di&longs;tinctos: &longs;ed eam mentem non fui&longs;&longs;e &longs;cholia&longs;tis illius indicat, <lb/>quod paulò pò&longs;t &longs;ubiunxit. <emph.end type="italics"/> <foreign lang="greek">qrani/ths )esti,</foreign> <emph type="italics"/>inquit<emph.end type="italics"/> <foreign lang="greek">o( pro\s th\n pru/mnan, <lb/>zugi/ths o( mesos, qalami/ths o( pro\s th\n prw/ran. </foreign></s> | <s id="id.001043">Vnde cum hi remi &longs;itu pro differentia loci &longs;ur­<lb/>&longs;um & deor&longs;um e&longs;&longs;ent di&longs;tincti: ita quoque &longs;uos remiges haberent <lb/>di&longs;tinctos: &longs;ed eam mentem non fui&longs;&longs;e &longs;cholia&longs;tis illius indicat, <lb/>quod paulò pò&longs;t &longs;ubiunxit. <emph.end type="italics"/> <foreign lang="el">qrani/ths )esti,</foreign> <emph type="italics"/>inquit<emph.end type="italics"/> <foreign lang="el">o( pro\s th\n pru/mnan, <lb/>zugi/ths o( mesos, qalami/ths o( pro\s th\n prw/ran. </foreign></s> |
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| <s><emph type="italics"/>Thranites e&longs;t is, <lb/>qui ad puppim remigat, Zygites qui in media naui, Thalamites qui <lb/>ad proram, vbi manife&longs;tè &longs;uperiorem nauis partem explicat ad pup­<lb/>pim in qua &longs;edet gubernator, vt quæ altior e&longs;t: inferiorem ad proram, <lb/>quæ inferior e&longs;t, ne gubernatoris ob&longs;truat luminibus: ideo inter istos <lb/>zygitæ &longs;unt, quos hic Ari&longs;toteles vocabulo compo&longs;ito<emph.end type="italics"/> <foreign lang="greek">e)k mesh=s kai\ <lb/>ne/ws</foreign> <emph type="italics"/>vocat me&longs;oneos. </s> | <s><emph type="italics"/>Thranites e&longs;t is, <lb/>qui ad puppim remigat, Zygites qui in media naui, Thalamites qui <lb/>ad proram, vbi manife&longs;tè &longs;uperiorem nauis partem explicat ad pup­<lb/>pim in qua &longs;edet gubernator, vt quæ altior e&longs;t: inferiorem ad proram, <lb/>quæ inferior e&longs;t, ne gubernatoris ob&longs;truat luminibus: ideo inter istos <lb/>zygitæ &longs;unt, quos hic Ari&longs;toteles vocabulo compo&longs;ito<emph.end type="italics"/> <foreign lang="el">e)k mesh=s kai\ <lb/>ne/ws</foreign> <emph type="italics"/>vocat me&longs;oneos. </s> |
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| <s id="id.001044">Sed hic non leuis obrepit controuer&longs;ia, & pro­<lb/>pter præ&longs;entem Ari&longs;totelis contextum ante di&longs;&longs;oluenda, &longs;i pote&longs;t, ex <lb/>duobus locis, altero Thucydidis, altero Galeni. </s> | <s id="id.001044">Sed hic non leuis obrepit controuer&longs;ia, & pro­<lb/>pter præ&longs;entem Ari&longs;totelis contextum ante di&longs;&longs;oluenda, &longs;i pote&longs;t, ex <lb/>duobus locis, altero Thucydidis, altero Galeni. </s> |
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| <s id="id.001045">Ille enim li. 6. hæc ha­<lb/>bet. <emph.end type="italics"/></s> | <s id="id.001045">Ille enim li. 6. hæc ha­<lb/>bet. <emph.end type="italics"/></s> |
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| <s><foreign lang="greek">tw=n prihra/rxwn )epifora\s pro\s tw=| )ek dimwsi/ou misqw=| dido/ntwn <lb/>toi=s qrani/tais,</foreign> <emph type="italics"/>Thranitæ præter &longs;tipendium publicum à trierarchis <lb/>donatiuum con&longs;equebantur, cuius rei cau&longs;a &longs;ubdita e&longs;t à &longs;choliaste, <lb/><expan abbr="quoniã">quoniam</expan> remos longiores trahebant, grauioreque labore vexabantur, <lb/>& adhuc hodie eò loci remigant ex omnibus delecti robu&longs;tiores, à <lb/>largis &longs;patulis Gallis dicti Eppaliers. </s> | <s><foreign lang="el">tw=n prihra/rxwn )epifora\s pro\s tw=| )ek dimwsi/ou misqw=| dido/ntwn <lb/>toi=s qrani/tais,</foreign> <emph type="italics"/>Thranitæ præter &longs;tipendium publicum à trierarchis <lb/>donatiuum con&longs;equebantur, cuius rei cau&longs;a &longs;ubdita e&longs;t à &longs;choliaste, <lb/><expan abbr="quoniã">quoniam</expan> remos longiores trahebant, grauioreque labore vexabantur, <lb/>& adhuc hodie eò loci remigant ex omnibus delecti robu&longs;tiores, à <lb/>largis &longs;patulis Gallis dicti Eppaliers. </s> |
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| <s id="id.001047">Hic verò cap. 24. lib. I, de v&longs;u <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.104.jpg" pagenum="65"/><emph type="italics"/>partium &longs;ic ait, In triremibus <expan abbr="remorũ">remorum</expan> extremitates ad vnam æqua­<lb/>litatem perueniunt, cum tamen ip&longs;i omnes non &longs;int æquales, etenim <lb/>etiam ibi medios eandem ob cau&longs;am maximos efficiunt, id e&longs;t, vt vi­<lb/>dere licet ex i&longs;to cap. Galen. citato, vt manus digiti inæ quales &longs;unt, <lb/>& medius longißimus ad firmam rerum apprehen&longs;ionem, & ap­<lb/>prehen&longs;arum retentionem, quod illius munus e&longs;t, quod non aliter fit <lb/>quam quum digitorum extremitates ad æqualitatem perueniunt: &longs;ic <lb/>ob nauigationis perfectionem in valido & faciliori nauis, quâ prora <lb/>&longs;pectat impul&longs;u po&longs;itam, remi facti &longs;unt inæquales, & eorum me­<lb/>dius maximus: & horum quidem i&longs;ta inæqualitas ob eandem cau­<lb/>&longs;am, vt &longs;cilicet remorum extremitates &longs;imul omnes in remigatione <lb/>ad æqualitatem peruenirent. </s> | <s id="id.001047">Hic verò cap. 24. lib. I, de v&longs;u <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.104.jpg" pagenum="65"/><emph type="italics"/>partium &longs;ic ait, In triremibus <expan abbr="remorũ">remorum</expan> extremitates ad vnam æqua­<lb/>litatem perueniunt, cum tamen ip&longs;i omnes non &longs;int æquales, etenim <lb/>etiam ibi medios eandem ob cau&longs;am maximos efficiunt, id e&longs;t, vt vi­<lb/>dere licet ex i&longs;to cap. Galen. citato, vt manus digiti inæ quales &longs;unt, <lb/>& medius longißimus ad firmam rerum apprehen&longs;ionem, & ap­<lb/>prehen&longs;arum retentionem, quod illius munus e&longs;t, quod non aliter fit <lb/>quam quum digitorum extremitates ad æqualitatem perueniunt: &longs;ic <lb/>ob nauigationis perfectionem in valido & faciliori nauis, quâ prora <lb/>&longs;pectat impul&longs;u po&longs;itam, remi facti &longs;unt inæquales, & eorum me­<lb/>dius maximus: & horum quidem i&longs;ta inæqualitas ob eandem cau­<lb/>&longs;am, vt &longs;cilicet remorum extremitates &longs;imul omnes in remigatione <lb/>ad æqualitatem peruenirent. </s> |
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| <s id="id.001048">Ex his locis <expan abbr="vtriq;">vtrique</expan> conueniunt eiu&longs;dem <lb/>lateris remos e&longs;&longs;e inæquales: &longs;ed in hoc in &longs;igniter di&longs;crepant, quod <lb/>Galenus a&longs;&longs;erat medios, id e&longs;t remos Zygitarum, &longs;eu<emph.end type="italics"/> <foreign lang="greek">mesone/wn</foreign> <emph type="italics"/>e&longs;&longs;e <lb/>maximos: Ari&longs;toteles non hos, &longs;ed <expan abbr="Thranitarũ">Thranitarum</expan>. </s> | <s id="id.001048">Ex his locis <expan abbr="vtriq;">vtrique</expan> conueniunt eiu&longs;dem <lb/>lateris remos e&longs;&longs;e inæquales: &longs;ed in hoc in &longs;igniter di&longs;crepant, quod <lb/>Galenus a&longs;&longs;erat medios, id e&longs;t remos Zygitarum, &longs;eu<emph.end type="italics"/> <foreign lang="el">mesone/wn</foreign> <emph type="italics"/>e&longs;&longs;e <lb/>maximos: Ari&longs;toteles non hos, &longs;ed <expan abbr="Thranitarũ">Thranitarum</expan>. </s> |
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| <s id="id.001049">Et <expan abbr="verũ">verum</expan> dicere Gale­<lb/>num cogno&longs;cemus &longs;i prius intellexerimus quomodo remorum extre­<lb/>mitates in remigationis ictu ad æqualitatem perueniant. </s> | <s id="id.001049">Et <expan abbr="verũ">verum</expan> dicere Gale­<lb/>num cogno&longs;cemus &longs;i prius intellexerimus quomodo remorum extre­<lb/>mitates in remigationis ictu ad æqualitatem perueniant. </s> |
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| <s id="id.001053">Moueretur enim aqua &longs;ecundum rectam E F remorum extremita­<lb/>tes excipientem. </s> | <s id="id.001053">Moueretur enim aqua &longs;ecundum rectam E F remorum extremita­<lb/>tes excipientem. </s> |
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| <s id="id.001054">Po&longs;terior igitur e&longs;t &longs;i de&longs;inant &longs;ecundum lineam pa­<lb/>rallelam &longs;pondæ nauis quæ &longs;emper e&longs;t<emph.end type="italics"/> <foreign lang="greek">periferikoeidh\s. </foreign><emph type="italics"/>Sic enim <lb/>Galenus <expan abbr="digitorũ">digitorum</expan> corpus valde <expan abbr="&longs;phæricũ">&longs;phæricum</expan> omnium à manu <expan abbr="appreh&etilde;-dendorũ">apprehen­<lb/>dendorum</expan> <expan abbr="difficillimũ">difficillimum</expan>, <expan abbr="apprehendentiũ">apprehendentium</expan> extremitates vult de &longs;inere in <lb/>eandem circuli ip&longs;um &longs;ecantis <expan abbr="peripheriã">peripheriam</expan>. </s> | <s id="id.001054">Po&longs;terior igitur e&longs;t &longs;i de&longs;inant &longs;ecundum lineam pa­<lb/>rallelam &longs;pondæ nauis quæ &longs;emper e&longs;t<emph.end type="italics"/> <foreign lang="el">periferikoeidh\s. </foreign><emph type="italics"/>Sic enim <lb/>Galenus <expan abbr="digitorũ">digitorum</expan> corpus valde <expan abbr="&longs;phæricũ">&longs;phæricum</expan> omnium à manu <expan abbr="appreh&etilde;­dendorũ">apprehen­<lb/>dendorum</expan> <expan abbr="difficillimũ">difficillimum</expan>, <expan abbr="apprehendentiũ">apprehendentium</expan> extremitates vult de &longs;inere in <lb/>eandem circuli ip&longs;um &longs;ecantis <expan abbr="peripheriã">peripheriam</expan>. </s> |
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| <s id="id.001055">Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe­<emph.end type="italics"/><lb/><figure id="id.035.01.105.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.105.1.jpg"/><lb/><emph type="italics"/><expan abbr="riphericã">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de-&longs;inãt">de­<lb/>&longs;inant</expan> prædicti re­<lb/>mi, non &longs;olum re­<lb/>morum erit inæ­<lb/>qualitas, & me­<lb/>dius erit maxi­<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed & nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="cõtrarias">contrarias</expan> <lb/>cau&longs;as, quippè ve­<lb/>luti circulationes <lb/><expan abbr="vndarũ">vndarum</expan> circa na­<lb/>uim fient, vnde <lb/>quæ ante e&longs;t pro­<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>& retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s> | <s id="id.001055">Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe­<emph.end type="italics"/><lb/><figure id="id.035.01.105.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.105.1.jpg"/><lb/><emph type="italics"/><expan abbr="riphericã">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de­&longs;inãt">de­<lb/>&longs;inant</expan> prædicti re­<lb/>mi, non &longs;olum re­<lb/>morum erit inæ­<lb/>qualitas, & me­<lb/>dius erit maxi­<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed & nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="cõtrarias">contrarias</expan> <lb/>cau&longs;as, quippè ve­<lb/>luti circulationes <lb/><expan abbr="vndarũ">vndarum</expan> circa na­<lb/>uim fient, vnde <lb/>quæ ante e&longs;t pro­<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>& retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s> |
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| <s id="id.001056">Quod autem <lb/>M H N medius remus &longs;it longior remis O I P & K G L fa­<lb/>cile demon&longs;tratur ducta recta G I parallela ip&longs;i K. O. </s> | <s id="id.001056">Quod autem <lb/>M H N medius remus &longs;it longior remis O I P & K G L fa­<lb/>cile demon&longs;tratur ducta recta G I parallela ip&longs;i K. O. </s> |
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| <s id="id.001109">E&longs;t enim verbum totum nauti­<lb/>cum: quanquam id quidem &longs;ciebam: &longs;ed arbitrabar &longs;u&longs;tineri remos, <lb/>quum inhibere e&longs;&longs;ent remiges iußi. </s> | <s id="id.001109">E&longs;t enim verbum totum nauti­<lb/>cum: quanquam id quidem &longs;ciebam: &longs;ed arbitrabar &longs;u&longs;tineri remos, <lb/>quum inhibere e&longs;&longs;ent remiges iußi. </s> |
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| <s id="id.001110">Id non e&longs;&longs;e eiu&longs;modi, didici heri, <lb/>quum ad villam no&longs;tram nauis appelleretur: non enim &longs;u&longs;tinent, &longs;ed <lb/>alio modo remigant, id ab<emph.end type="italics"/> <foreign lang="greek">e)poxh=s</foreign> <emph type="italics"/>remotißimum e&longs;t. </s> | <s id="id.001110">Id non e&longs;&longs;e eiu&longs;modi, didici heri, <lb/>quum ad villam no&longs;tram nauis appelleretur: non enim &longs;u&longs;tinent, &longs;ed <lb/>alio modo remigant, id ab<emph.end type="italics"/> <foreign lang="el">e)poxh=s</foreign> <emph type="italics"/>remotißimum e&longs;t. </s> |
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| <s id="id.001111">Et po&longs;tea &longs;ubdit. <lb/></s> | <s id="id.001111">Et po&longs;tea &longs;ubdit. <lb/></s> |
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| <s id="id.001129">Eo vbi e&longs;t.] <emph type="italics"/>Non quidem &longs;emper antror&longs;um iu&longs;tè ad perpendi­<lb/>culum: &longs;ed paulo vltra aut citra, pro vt mouens validius: aut imbe­<lb/>cillius mouet manubrium, & aqua plus, minu&longs;ve renititur pauca <lb/>enim & tenuis minus: multa & cra&longs;&longs;a magis renititur. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001129">Eo vbi e&longs;t.] <emph type="italics"/>Non quidem &longs;emper antror&longs;um iu&longs;tè ad perpendi­<lb/>culum: &longs;ed paulo vltra aut citra, pro vt mouens validius: aut imbe­<lb/>cillius mouet manubrium, & aqua plus, minu&longs;ve renititur pauca <lb/>enim & tenuis minus: multa & cra&longs;&longs;a magis renititur. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001130">Vbi enim remus.] <emph type="italics"/>Illu&longs;tratio e&longs;t &longs;ecundæ partis propo&longs;itionis <lb/>primarij &longs;yllogi&longs;mi vbi<emph.end type="italics"/> <foreign lang="greek">plei/sthn qa/lassan th\n kw/phn diairei=n. </foreign><emph type="italics"/>Re­<lb/>mum diuidere plurimum maris dici pote&longs;t duobus modis, vno cum <lb/>palmula profundius ingrediatur mare. </s> | <s id="id.001130">Vbi enim remus.] <emph type="italics"/>Illu&longs;tratio e&longs;t &longs;ecundæ partis propo&longs;itionis <lb/>primarij &longs;yllogi&longs;mi vbi<emph.end type="italics"/> <foreign lang="el">plei/sthn qa/lassan th\n kw/phn diairei=n. </foreign><emph type="italics"/>Re­<lb/>mum diuidere plurimum maris dici pote&longs;t duobus modis, vno cum <lb/>palmula profundius ingrediatur mare. </s> |
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| <s id="id.001131">Penetrans enim pedes duos <lb/>plus diuidit penetrante vnum: altero cum palmulæ pars intrà aquam <lb/>in vno remi impul&longs;u maius &longs;patium conficit: vtroque autem modo <lb/>palmula mediani remigis plus diuidit mare <expan abbr="quã">quam</expan> <expan abbr="aliorũ">aliorum</expan>. </s> | <s id="id.001131">Penetrans enim pedes duos <lb/>plus diuidit penetrante vnum: altero cum palmulæ pars intrà aquam <lb/>in vno remi impul&longs;u maius &longs;patium conficit: vtroque autem modo <lb/>palmula mediani remigis plus diuidit mare <expan abbr="quã">quam</expan> <expan abbr="aliorũ">aliorum</expan>. </s> |
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| <s id="id.001135">E&longs;t autem palmula eorum <lb/>qui &longs;unt in medio nauis, quæ intra aquam, radius maior: quam pal­<lb/>mula aliorum, & &longs;ic maius &longs;patium peragrat. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001135">E&longs;t autem palmula eorum <lb/>qui &longs;unt in medio nauis, quæ intra aquam, radius maior: quam pal­<lb/>mula aliorum, & &longs;ic maius &longs;patium peragrat. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001136">Propter id remiges.] <emph type="italics"/>Conclu&longs;io e&longs;t primarij &longs;yllogi&longs;mi cum <lb/>repetione cau&longs;æ eiu&longs;dem. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001136">Propter id remiges.] <emph type="italics"/>Conclu&longs;io e&longs;t primarij &longs;yllogi&longs;mi cum <lb/>repetione cau&longs;æ eiu&longs;dem. <emph.end type="italics"/></s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.001137">6. <foreign lang="greek">*tou= phdali/ou duna/mews <lb/>ai)/tion, kai\ tou= ma=llon proe/r­<lb/>xesqai ei)s tou)nantioon to\ <lb/>ploi=on, h)\ th\n th=s kw/phs <lb/> pla/thn. </foreign></s></p><p type="main"> | <s id="id.001137">6. <foreign lang="el">*tou= phdali/ou duna/mews <lb/>ai)/tion, kai\ tou= ma=llon proe/r­<lb/>xesqai ei)s tou)nantioon to\ <lb/>ploi=on, h)\ th\n th=s kw/phs <lb/> pla/thn. </foreign></s></p><p type="main"> |
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| <s id="id.001138">6. Potentiæ gubernaculi <lb/>cau&longs;a, & quod <expan abbr="nauigiũ">nauigium</expan> <lb/>magis in <expan abbr="contrariũ">contrarium</expan> pro­<lb/>cedat: quam remi pal­<lb/>mula. </s></p><p type="main"> | <s id="id.001138">6. Potentiæ gubernaculi <lb/>cau&longs;a, & quod <expan abbr="nauigiũ">nauigium</expan> <lb/>magis in <expan abbr="contrariũ">contrarium</expan> pro­<lb/>cedat: quam remi pal­<lb/>mula. </s></p><p type="main"> |
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| <s id="id.001139"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001139"><foreign lang="el">*dia\ ti/ to\ phda/lion mikro\n o)/n, kai\ e)p' e)sxa/tw| tw=| <lb/>ploi/w|, tosau/thn du/namin e)/xei w(/ste u(po\ mikrou= oi)/akos, kai\ <lb/>e(no\s a)nqrw/pou duna/mews, kai\ tau/ths h)remai/as, mega/la kinei=sqai <lb/>mege/qh ploi/wn, h)\ dio/ti kai\ to\ phda/lion e)sti\ moxlo\s, <lb/>to\ de\ ba/ros h( qa/lassa, o( de\ kubernh/ths o( kinw=n.</foreign></s> |
| | <s id="g0130503"><foreign lang="el"><lb/>ou) kata\ pla/tos de\ lamba/nei th\n qa/lassan, w(/sper h( kw/ph, <lb/>to\ phda/lion. ou) ga\r ei)s to\ pro/sqen kinei= to\ ploi=on, a)lla\ <lb/>kinou/menon kli/nei, plagi/ws th\n qa/lattan dexo/menon.</foreign></s> |
| | <s id="g0130504"><foreign lang="el">e)pei\ <lb/>ga\r to\ ba/ros h)=n h( qa/lassa, tou)nanti/on a)pereido/menon kli/nei <lb/>to\ ploi=on. to\ ga\r u(pomo/xlion ei)s tou)nanti/on stre/fetai,<lb/> h( qa/lassa de\ e)nto/s: e)kei=no de\ ei)s to\ e)kto/s. tou/tw| de\ a)kolouqei= <lb/>to\ ploi=on, dia\ to\ sundede/sqai.</foreign></s> |
| | <s id="g0130505"><foreign lang="el">h( me\n ou)=n kw/ph kata\ <lb/>pla/tos to\ ba/ros w)qou=sa kai\ u(p' e)kei/nou a)ntwqoume/nh, ei)s to\ <lb/>eu)qu\ proa/gei.</foreign></s> |
| | <s id="g0130505a"><foreign lang="el">to\ de\ phda/lion, w(/sper ka/qhtai pla/gion, <lb/>th\n ei)s to\ pla/gion, h)\ deu=ro, h)\ e)kei= poiei= ki/nhsin.</foreign></s></p><p type="main"> |
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| <s id="id.001140">Cur gubernaculum par­<lb/>uum quid exi&longs;tens, & in <lb/>extrema parte nauigij tan­<lb/>tam vim habet, vt ab exi­<lb/>guo temone, & vnius ho­<lb/>minis etiam propemodum <lb/>quie&longs;centis viribus, magnæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.111.jpg" pagenum="72"/><foreign lang="greek"><gap/></foreign><lb/><expan abbr="nauigiorũ">nauigiorum</expan> moles mouean­<lb/>tur? </s> | <s id="id.001140">Cur gubernaculum par­<lb/>uum quid exi&longs;tens, & in <lb/>extrema parte nauigij tan­<lb/>tam vim habet, vt ab exi­<lb/>guo temone, & vnius ho­<lb/>minis etiam propemodum <lb/>quie&longs;centis viribus, magnæ <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.111.jpg" pagenum="72"/><expan abbr="nauigiorũ">nauigiorum</expan> moles mouean­<lb/>tur? </s> |
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| <s id="id.001141">An quia <expan abbr="gubernaculũ">gubernaculum</expan> <lb/>e&longs;t vectis: pondus mare, gu­<lb/>bernator mouens. </s> | <s id="id.001141">An quia <expan abbr="gubernaculũ">gubernaculum</expan> <lb/>e&longs;t vectis: pondus mare, gu­<lb/>bernator mouens. </s> |
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| <s id="id.001205"><emph type="italics"/>Vitruuius &longs;ic mentionem facit. </s> | <s id="id.001205"><emph type="italics"/>Vitruuius &longs;ic mentionem facit. </s> |
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| <s id="id.001206">Nauis onerariæ maximæ guber­<lb/>nator an&longs;am gubernaculi tenens, quod<emph.end type="italics"/> <foreign lang="greek">o)/iac</foreign> <emph type="italics"/>à Græcis ap­<lb/>pellatur, vna manu momento per centri rationem preßioni­<lb/>bus artis agitans, ver&longs;at eam amplißimis & immanibus <lb/>mercis & penus ponderibus oneratam. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001206">Nauis onerariæ maximæ guber­<lb/>nator an&longs;am gubernaculi tenens, quod<emph.end type="italics"/> <foreign lang="el">o)/iac</foreign> <emph type="italics"/>à Græcis ap­<lb/>pellatur, vna manu momento per centri rationem preßioni­<lb/>bus artis agitans, ver&longs;at eam amplißimis & immanibus <lb/>mercis & penus ponderibus oneratam. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001207">Pondus mare.] <emph type="italics"/>Vt antè in remis dictum e&longs;t. </s> | <s id="id.001207">Pondus mare.] <emph type="italics"/>Vt antè in remis dictum e&longs;t. </s> |
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| <s id="id.001217">Mouet igitur obliquè nauim (quod e&longs;t intelligendum de <lb/>puppi non de prora quæ in partem ad quam mare mouetur) &longs;ini­<lb/>&longs;tror&longs;um, &longs;i illud dextror&longs;um: vel dextror&longs;um, &longs;i illud &longs;ini&longs;tror&longs;um <lb/>depul&longs;um e&longs;t. <emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.116.jpg" pagenum="77"/><p type="main"> | <s id="id.001217">Mouet igitur obliquè nauim (quod e&longs;t intelligendum de <lb/>puppi non de prora quæ in partem ad quam mare mouetur) &longs;ini­<lb/>&longs;tror&longs;um, &longs;i illud dextror&longs;um: vel dextror&longs;um, &longs;i illud &longs;ini&longs;tror&longs;um <lb/>depul&longs;um e&longs;t. <emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.116.jpg" pagenum="77"/><p type="main"> |
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| <s id="id.001218"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001218"><foreign lang="el">e)p' a)/krou <lb/>de\ kai\ ou)k e)n me/sw| kei=tai, o(/ti r(a=|ston to\ kinou/menon kinh=sai <lb/>a)p' a)/krou kinou=n: ta/xista ga\r fe/retai to\ prw=ton me/ros, <lb/>dia\ to\ w(/sper e)n toi=s ferome/nois e)pi\ te/lei lh/gein th\n fora/n, <lb/>ou(/tw kai\ tou= sunexou=s e)pi\ te/lous a)sqenesta/th e)sti\n h( fora/. <lb/></foreign></s> |
| | <s id="g0130507a"><foreign lang="el">h( de\ a)sqenesta/th r(a|di/a e)kkrou/ein. </foreign></s> |
| | <s id="g0130508"><foreign lang="el">dia/ te dh\ tau=ta e)n th=| <lb/>pru/mnh| to\ phda/lio/n e)sti, kai\ o(/ti e)ntau=qa mikra=s kinh/sews <lb/>genome/nhs pollw=| mei=zon to\ dia/sthma e)pi\ tw=| e)sxa/tw| gi/netai, <lb/>dia\ to\ th\n i)/shn gwni/an e)pi\ mei/zona kaqh=sqai.</foreign></s> |
| | <s id="g0130508a"><foreign lang="el">kai\ o(/sw| <lb/>a)\n mei/zous w)=sin ai( perie/xoustai.</foreign></s></p><p type="main"> |
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| <s>In extremo autem, non <lb/>in medio po&longs;itum e&longs;t. </s> | <s>In extremo autem, non <lb/>in medio po&longs;itum e&longs;t. </s> |
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| <s id="id.001262">Nam rectæ ab A puncto Cardini re&longs;pondente in ima parte na­<lb/>uis propè puppis extremum ad extremum proræ id e&longs;t A D, A C <lb/>longè maiores &longs;unt breuißimis ijs, quæ &longs;unt ab <expan abbr="eod&etilde;">eodem</expan> puncto A ad ex­<lb/>tremum puppis A B, A E. </s> | <s id="id.001262">Nam rectæ ab A puncto Cardini re&longs;pondente in ima parte na­<lb/>uis propè puppis extremum ad extremum proræ id e&longs;t A D, A C <lb/>longè maiores &longs;unt breuißimis ijs, quæ &longs;unt ab <expan abbr="eod&etilde;">eodem</expan> puncto A ad ex­<lb/>tremum puppis A B, A E. </s> |
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| <s id="id.001263">Peragrabit igitur prora D lineam C B <lb/>longè maiorem, cum B peragrabit B E multo minorem. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001263">Peragrabit igitur prora D lineam C B <lb/>longè maiorem, cum B peragrabit B E multo minorem. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.001264"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001264"><foreign lang="el">dh=lon de\ e)k tou/tou, kai\ di' h(\n <lb/>ai)ti/an ma=llon proe/rxetai ei)s tou)nanti/on to\ ploi=on h)\ h( th=s <lb/>kw/phs pla/th: to\ au)to\ ga\r me/geqos th=| au)th=| i)sxu/i+ kinou/menon <lb/>e)n a)e/ri, ple/on h)\: e)n tw=| u(/dati pro/eisin.</foreign></s> |
| | <s id="g0130510"><foreign lang="el">e)/stw ga\r h( *a <lb/>*b kw/ph, to\ de\ *g o( skalmo/s, to\ de\ *a to\ e)n tw=| ploi/w|, h( <lb/>a)rxh\ th=s kw/phs, to\ de\ *b to\ e)n th=| qala/tth|.</foreign></s> |
| | <s id="g0130511"><foreign lang="el">ei) dh\ to\ *a <lb/>ou(= to\ *d metakeki/nhtai, to\ *b ou)k e)/stai ou(= to\ *e: i)/sh ga\r h( *b <lb/>*e th=| *a*d.</foreign></s> |
| | <s id="g0130511a"><foreign lang="el">i)/son ou)=n metakexwrhko\s e)/stai, a)ll' h)=n e)/latton. <lb/></foreign></s> |
| | <s id="g0130512"><foreign lang="el">e)/stai dh\ ou(= to\ *z [1h)\ to\ *q. a)/ra toi/nun th\n *a*b, kai\ ou)x h( to\ <lb/>*g, kai\ ka/twqen.]1 </foreign></s> |
| | <s id="g0130512a"><foreign lang="el">e)la/ttwn ga\r h( *b*z, th=s *a*d, w(/ste kai\ <lb/>h( *q*z th=s *d*q: o(/moia ga\r ta\ tri/gwna.</foreign></s> |
| | <s id="g0130513"><foreign lang="el">kaqesthko\s de\ <lb/>e)/stai kai\ to\ me/son, to\ e)f' ou(= *g: ei)s tou)nanti/on ga\r tw=| e)n th=| <lb/>qala/tth| a)/krw| to\ *b metaxwrei=, h(=|per to\ e)n ploi/w| <lb/>a)/kron to\ *a.</foreign></s> |
| | <s id="g0130514"><foreign lang="el">mh\ e)gxw/rei de\ ou(= to\ *d. </foreign></s> |
| | <s id="g0130514a"><foreign lang="el">ei) mh\ metakinhqh/setai to\ <lb/>ploi=on, kai\ e)kei= ou(= h( a)rxh\ th=s kw/phs metafe/retai.</foreign></s></p><p type="main"> |
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| <s id="id.001265">Ex hoc autem <expan abbr="manife&longs;tũ">manife&longs;tum</expan> <lb/>e&longs;t, ob quam cau&longs;am nauis <lb/>in contrarium magis pro­<lb/>cedat: quam remi palmula. <lb/></s> | <s id="id.001265">Ex hoc autem <expan abbr="manife&longs;tũ">manife&longs;tum</expan> <lb/>e&longs;t, ob quam cau&longs;am nauis <lb/>in contrarium magis pro­<lb/>cedat: quam remi palmula. <lb/></s> |
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| <s id="id.001266">Eadem enim moles eadem <lb/>vi mota per aerem plus, <lb/>quam per aquam progre­<lb/>ditur. </s> | <s id="id.001266">Eadem enim moles eadem <lb/>vi mota per aerem plus, <lb/>quam per aquam progre­<lb/>ditur. </s> |
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| <s id="id.001267">Sit enim remus <foreign lang="greek">a b</foreign><lb/>& &longs;calmus <foreign lang="greek">g,</foreign> & intra nauim <lb/>caput remi <foreign lang="greek">a</foreign> palmula intra <lb/>mare <foreign lang="greek">b. </foreign>Si itaque <foreign lang="greek">a</foreign> <expan abbr="tran&longs;la-tũ">tran&longs;la­<lb/>tum</expan> &longs;it eò, vbi e&longs;t <foreign lang="greek">d</foreign>: ip&longs;um <foreign lang="greek">b</foreign><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.119.jpg" pagenum="80"/><foreign lang="greek"><gap/></foreign><lb/><arrow.to.target n="marg21"/><lb/>non erit vbi e&longs;t <foreign lang="greek">e. </foreign>E&longs;t enim <lb/><foreign lang="greek">b e</foreign> æqualis ip&longs;i <foreign lang="greek">a d. </foreign>Ex <lb/>æquo igítur tran&longs;latum e&longs;­<lb/>&longs;et, &longs;ed minus erat. </s> | <s id="id.001267">Sit enim remus <foreign lang="el">a b</foreign><lb/>& &longs;calmus <foreign lang="el">g,</foreign> & intra nauim <lb/>caput remi <foreign lang="el">a</foreign> palmula intra <lb/>mare <foreign lang="el">b. </foreign>Si itaque <foreign lang="el">a</foreign> <expan abbr="tran&longs;la­tũ">tran&longs;la­<lb/>tum</expan> &longs;it eò, vbi e&longs;t <foreign lang="el">d</foreign>: ip&longs;um <foreign lang="el">b</foreign><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.119.jpg" pagenum="80"/><arrow.to.target n="marg21"/><lb/>non erit vbi e&longs;t <foreign lang="el">e. </foreign>E&longs;t enim <lb/><foreign lang="el">b e</foreign> æqualis ip&longs;i <foreign lang="el">a d. </foreign>Ex <lb/>æquo igítur tran&longs;latum e&longs;­<lb/>&longs;et, &longs;ed minus erat. </s> |
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| <s id="id.001268">E&longs;t igi­<lb/>tur vbi <foreign lang="greek">z. </foreign>Minor enim e&longs;t <lb/><foreign lang="greek">b z</foreign>: <expan abbr="quã">quam</expan> <foreign lang="greek">a d. </foreign>Itaque etiam <lb/><foreign lang="greek">q z</foreign> quam <foreign lang="greek">d q. </foreign></s> | <s id="id.001268">E&longs;t igi­<lb/>tur vbi <foreign lang="el">z. </foreign>Minor enim e&longs;t <lb/><foreign lang="el">b z</foreign>: <expan abbr="quã">quam</expan> <foreign lang="el">a d. </foreign>Itaque etiam <lb/><foreign lang="el">q z</foreign> quam <foreign lang="el">d q. </foreign></s> |
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| <s>Similia enim <lb/>&longs;unt triangula. </s> | <s>Similia enim <lb/>&longs;unt triangula. </s> |
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| <s id="id.001269">Con&longs;i&longs;tens <lb/>vero erit medium vbi e&longs;t <foreign lang="greek">g. </foreign><lb/>In contrarium enim extre­<lb/>mo <foreign lang="greek">b,</foreign> quod in mari e&longs;t <lb/>procedit <expan abbr="extremũ">extremum</expan> <foreign lang="greek">a,</foreign> quod <lb/>in nauigio e&longs;t. </s> | <s id="id.001269">Con&longs;i&longs;tens <lb/>vero erit medium vbi e&longs;t <foreign lang="el">g. </foreign><lb/>In contrarium enim extre­<lb/>mo <foreign lang="el">b,</foreign> quod in mari e&longs;t <lb/>procedit <expan abbr="extremũ">extremum</expan> <foreign lang="el">a,</foreign> quod <lb/>in nauigio e&longs;t. </s> |
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| <s id="id.001270">Non autem <lb/>ad <foreign lang="greek">d</foreign> procederet, ni&longs;i mo­<lb/>ueretur nauis, & eo vbi e&longs;t <lb/>caput remi, transferretur. </s></p><p type="margin"> | <s id="id.001270">Non autem <lb/>ad <foreign lang="el">d</foreign> procederet, ni&longs;i mo­<lb/>ueretur nauis, & eo vbi e&longs;t <lb/>caput remi, transferretur. </s></p><p type="margin"> |
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| <s id="id.001271"><margin.target id="marg21"/>Inclu&longs;a his <lb/>notis [] ni­<lb/>hil faciunt <lb/>ad rem. </s></p><p type="head"> | <s id="id.001271"><margin.target id="marg21"/>Inclu&longs;a his <lb/>notis [] ni­<lb/>hil faciunt <lb/>ad rem. </s></p><p type="head"> |
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| <s id="id.001298">A&longs;&longs;umptionis confirmatio pendet ab eo quod cum caput <lb/>& palmula remi &longs;int eadem moles eadem vi mota, illud tamen per <lb/>aërem: hæc per aquam medium aëre den&longs;ius, moueatur. </s> | <s id="id.001298">A&longs;&longs;umptionis confirmatio pendet ab eo quod cum caput <lb/>& palmula remi &longs;int eadem moles eadem vi mota, illud tamen per <lb/>aërem: hæc per aquam medium aëre den&longs;ius, moueatur. </s> |
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| <s id="id.001299">Quæ ratio <lb/>verißima e&longs;t in ijs, quæ &longs;eor&longs;um mouentur, vt &longs;i remus totus per <lb/>aërem, & totus per aquam ferretur eadem vi, dubium non e&longs;t quin <lb/>citius, & plus per aërem, quam per aquam, ob maiorem in aqua <expan abbr="re&longs;i-&longs;t&etilde;tiam">re&longs;i­<lb/>&longs;tentiam</expan> feratur. </s> | <s id="id.001299">Quæ ratio <lb/>verißima e&longs;t in ijs, quæ &longs;eor&longs;um mouentur, vt &longs;i remus totus per <lb/>aërem, & totus per aquam ferretur eadem vi, dubium non e&longs;t quin <lb/>citius, & plus per aërem, quam per aquam, ob maiorem in aqua <expan abbr="re&longs;i­&longs;t&etilde;tiam">re&longs;i­<lb/>&longs;tentiam</expan> feratur. </s> |
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| <s id="id.001300">At remus vnus e&longs;t, &longs;ed &longs;uperficie aquæ &longs;ectus, qua&longs;i <lb/>duo &longs;int ita capi pote&longs;t. </s> | <s id="id.001300">At remus vnus e&longs;t, &longs;ed &longs;uperficie aquæ &longs;ectus, qua&longs;i <lb/>duo &longs;int ita capi pote&longs;t. </s> |
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| <s id="id.001303">vnde infert caput remi ab eo loco, in quo erat ante remi­<lb/>gationem, ad alium transferri. </s> | <s id="id.001303">vnde infert caput remi ab eo loco, in quo erat ante remi­<lb/>gationem, ad alium transferri. </s> |
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| <s id="id.001304">Ergo<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>caput remi tran&longs;latum &longs;it ad<emph.end type="italics"/><lb/><foreign lang="greek">d.</foreign> </s> | <s id="id.001304">Ergo<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>caput remi tran&longs;latum &longs;it ad<emph.end type="italics"/><lb/><foreign lang="el">d.</foreign> </s> |
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| <s><emph type="italics"/>Quo autem tempore<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="greek">d,</foreign> <emph type="italics"/>palmula<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>non <lb/>transfertur ad<emph.end type="italics"/> <foreign lang="greek">e</foreign><emph type="italics"/>: alioqui æqualiter moueretur palmula atque caput, <lb/>contra ea quæ ante po&longs;ita &longs;unt. </s> | <s><emph type="italics"/>Quo autem tempore<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>tran&longs;latum e&longs;t ad<emph.end type="italics"/> <foreign lang="el">d,</foreign> <emph type="italics"/>palmula<emph.end type="italics"/> <foreign lang="el">b</foreign> <emph type="italics"/>non <lb/>transfertur ad<emph.end type="italics"/> <foreign lang="el">e</foreign><emph type="italics"/>: alioqui æqualiter moueretur palmula atque caput, <lb/>contra ea quæ ante po&longs;ita &longs;unt. </s> |
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| <s id="id.001305">Intelligatur enim remus<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>vbi e&longs;t<emph.end type="italics"/><lb/><foreign lang="greek">d e,</foreign> <emph type="italics"/>&longs;calmo<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>manente. </s> | <s id="id.001305">Intelligatur enim remus<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>vbi e&longs;t<emph.end type="italics"/><lb/><foreign lang="el">d e,</foreign> <emph type="italics"/>&longs;calmo<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>manente. </s> |
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| <s id="id.001306">fiunt duo triangula<emph.end type="italics"/> <foreign lang="greek">a g d & b g e,</foreign><lb/><emph type="italics"/>quorum anguli qui ad<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>quia ad <expan abbr="vertic&etilde;">verticem</expan> oppo&longs;iti, &longs;unt æquales prop. <lb/>15. lib. 1. </s> | <s id="id.001306">fiunt duo triangula<emph.end type="italics"/> <foreign lang="el">a g d & b g e,</foreign><lb/><emph type="italics"/>quorum anguli qui ad<emph.end type="italics"/> <foreign lang="el">g,</foreign> <emph type="italics"/>quia ad <expan abbr="vertic&etilde;">verticem</expan> oppo&longs;iti, &longs;unt æquales prop. <lb/>15. lib. 1. </s> |
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| <s>Tum latera, quæ ip&longs;os continent<emph.end type="italics"/> <foreign lang="greek">a g, d g,</foreign> <emph type="italics"/>duobus<emph.end type="italics"/> <foreign lang="greek">b g, <lb/>e g</foreign> <emph type="italics"/>&longs;unt æqualia, quia partes &longs;unt dimidiæ eiu&longs;dem remi<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ax. 6. <lb/></s> | <s>Tum latera, quæ ip&longs;os continent<emph.end type="italics"/> <foreign lang="el">a g, d g,</foreign> <emph type="italics"/>duobus<emph.end type="italics"/> <foreign lang="el">b g, <lb/>e g</foreign> <emph type="italics"/>&longs;unt æqualia, quia partes &longs;unt dimidiæ eiu&longs;dem remi<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>ax. 6. <lb/></s> |
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| <s id="id.001308">erunt igitur ba&longs;es<emph.end type="italics"/> <foreign lang="greek">a d, b e</foreign> <emph type="italics"/>æquales, vt reliqui anguli prop. 4. lib. 1. <emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.121.jpg" pagenum="82"/> | <s id="id.001308">erunt igitur ba&longs;es<emph.end type="italics"/> <foreign lang="el">a d, b e</foreign> <emph type="italics"/>æquales, vt reliqui anguli prop. 4. lib. 1. <emph.end type="italics"/></s><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.121.jpg" pagenum="82"/> |
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| <s><emph type="italics"/>Et &longs;ic palmula perducta ad<emph.end type="italics"/> <foreign lang="greek">e</foreign> <emph type="italics"/>cum<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>caput prouectum e&longs;&longs;et ad<emph.end type="italics"/> <foreign lang="greek">d</foreign><lb/><emph type="italics"/>æqualiter moueretur, &longs;ed in i&longs;to ca&longs;u<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>&longs;calmo manente nauis immo­<lb/>ta e&longs;&longs;et, <expan abbr="cũ">cum</expan> tamen prouecta e&longs;&longs;e &longs;upponatur. </s> | <s><emph type="italics"/>Et &longs;ic palmula perducta ad<emph.end type="italics"/> <foreign lang="el">e</foreign> <emph type="italics"/>cum<emph.end type="italics"/> <foreign lang="el">a</foreign> <emph type="italics"/>caput prouectum e&longs;&longs;et ad<emph.end type="italics"/> <foreign lang="el">d</foreign><lb/><emph type="italics"/>æqualiter moueretur, &longs;ed in i&longs;to ca&longs;u<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>&longs;calmo manente nauis immo­<lb/>ta e&longs;&longs;et, <expan abbr="cũ">cum</expan> tamen prouecta e&longs;&longs;e &longs;upponatur. </s> |
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| <s id="id.001309">Intelligatur igitur mini­<lb/>mùm, vt ad<emph.end type="italics"/> <foreign lang="greek">z</foreign> <emph type="italics"/>e&longs;&longs;e perducta palmula<emph.end type="italics"/> <foreign lang="greek">b.</foreign> </s> | <s id="id.001309">Intelligatur igitur mini­<lb/>mùm, vt ad<emph.end type="italics"/> <foreign lang="el">z</foreign> <emph type="italics"/>e&longs;&longs;e perducta palmula<emph.end type="italics"/> <foreign lang="el">b.</foreign> </s> |
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| <s><emph type="italics"/>Ex hoc rur&longs;us <expan abbr="cõcludit">concludit</expan> Ari­<lb/>&longs;toteles ex figura à Victore Fau&longs;to & ab alijs paßim rectam<emph.end type="italics"/> <foreign lang="greek">d q</foreign><lb/><emph type="italics"/>maiorem e&longs;&longs;e: quam<emph.end type="italics"/> <foreign lang="greek">q z.</foreign> </s> | <s><emph type="italics"/>Ex hoc rur&longs;us <expan abbr="cõcludit">concludit</expan> Ari­<lb/>&longs;toteles ex figura à Victore Fau&longs;to & ab alijs paßim rectam<emph.end type="italics"/> <foreign lang="el">d q</foreign><lb/><emph type="italics"/>maiorem e&longs;&longs;e: quam<emph.end type="italics"/> <foreign lang="el">q z.</foreign> </s> |
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| <s><emph type="italics"/>Et ita e&longs;&longs;e o&longs;tendamus, quia duorum trian­<lb/>gulorum<emph.end type="italics"/> <foreign lang="greek">a q d & b q z</foreign> <emph type="italics"/>anguli, qui ad<emph.end type="italics"/> <foreign lang="greek">q</foreign> <emph type="italics"/>ad verticem oppo&longs;iti, <lb/>&longs;unt æquales prop. 15. lib. 1. </s> | <s><emph type="italics"/>Et ita e&longs;&longs;e o&longs;tendamus, quia duorum trian­<lb/>gulorum<emph.end type="italics"/> <foreign lang="el">a q d & b q z</foreign> <emph type="italics"/>anguli, qui ad<emph.end type="italics"/> <foreign lang="el">q</foreign> <emph type="italics"/>ad verticem oppo&longs;iti, <lb/>&longs;unt æquales prop. 15. lib. 1. </s> |
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| <s>tum<emph.end type="italics"/> <foreign lang="greek">q a d</foreign> <emph type="italics"/>æqualis e&longs;t<emph.end type="italics"/> <foreign lang="greek">q b z</foreign> <emph type="italics"/>vel quia <lb/>&longs;unt alterni facti à recta<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>incidente in parallelas<emph.end type="italics"/> <foreign lang="greek">a d, b e.</foreign> </s> | <s>tum<emph.end type="italics"/> <foreign lang="el">q a d</foreign> <emph type="italics"/>æqualis e&longs;t<emph.end type="italics"/> <foreign lang="el">q b z</foreign> <emph type="italics"/>vel quia <lb/>&longs;unt alterni facti à recta<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>incidente in parallelas<emph.end type="italics"/> <foreign lang="el">a d, b e.</foreign> </s> |
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| <s><emph type="italics"/>Ex <lb/>præcedenti <expan abbr="demõ&longs;tratione">demon&longs;tratione</expan>. </s> | <s><emph type="italics"/>Ex <lb/>præcedenti <expan abbr="demõ&longs;tratione">demon&longs;tratione</expan>. </s> |
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| <s id="id.001310">Ergo reliquus<emph.end type="italics"/> <foreign lang="greek">q d a</foreign> <emph type="italics"/>reliquo<emph.end type="italics"/> <foreign lang="greek">b z q</foreign> <emph type="italics"/>æqua­<lb/>lis erit prop. 32. lib. 1. </s> | <s id="id.001310">Ergo reliquus<emph.end type="italics"/> <foreign lang="el">q d a</foreign> <emph type="italics"/>reliquo<emph.end type="italics"/> <foreign lang="el">b z q</foreign> <emph type="italics"/>æqua­<lb/>lis erit prop. 32. lib. 1. </s> |
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| <s>Et &longs;ic triangula<emph.end type="italics"/> <foreign lang="greek">a q d & b q z</foreign> <emph type="italics"/>&longs;unt æquian­<lb/>gula, proinde & circum æquales angulos latera proportionalia prop. 4. lib. 6. <lb/></s> | <s>Et &longs;ic triangula<emph.end type="italics"/> <foreign lang="el">a q d & b q z</foreign> <emph type="italics"/>&longs;unt æquian­<lb/>gula, proinde & circum æquales angulos latera proportionalia prop. 4. lib. 6. <lb/></s> |
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| <s id="id.001311">E&longs;t igitur vt<emph.end type="italics"/> <foreign lang="greek">a q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">q d</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="greek">b q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">q z,</foreign> <emph type="italics"/>& vicißim <lb/>prop. 16. lib. 5. vt<emph.end type="italics"/> <foreign lang="greek">a q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">q b</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="greek">d q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">q z.</foreign> </s> | <s id="id.001311">E&longs;t igitur vt<emph.end type="italics"/> <foreign lang="el">a q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">q d</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="el">b q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">q z,</foreign> <emph type="italics"/>& vicißim <lb/>prop. 16. lib. 5. vt<emph.end type="italics"/> <foreign lang="el">a q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">q b</foreign>: <emph type="italics"/>&longs;ic<emph.end type="italics"/> <foreign lang="el">d q</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="el">q z.</foreign> </s> |
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| <s><emph type="italics"/>E&longs;t <expan abbr="aut&etilde;">autem</expan><emph.end type="italics"/> <foreign lang="greek">a q</foreign> <emph type="italics"/>maior: <lb/>quam<emph.end type="italics"/> <foreign lang="greek">q b,</foreign> <emph type="italics"/>quia<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>erat bi&longs;&longs;ecta in<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>& detracta e&longs;t de dimi­<lb/>dia<emph.end type="italics"/> <foreign lang="greek">g b</foreign> <emph type="italics"/>portio<emph.end type="italics"/> <foreign lang="greek">q g,</foreign> <emph type="italics"/>quæ additur ip&longs;i dimidiæ<emph.end type="italics"/> <foreign lang="greek">a g.</foreign> </s> | <s><emph type="italics"/>E&longs;t <expan abbr="aut&etilde;">autem</expan><emph.end type="italics"/> <foreign lang="el">a q</foreign> <emph type="italics"/>maior: <lb/>quam<emph.end type="italics"/> <foreign lang="el">q b,</foreign> <emph type="italics"/>quia<emph.end type="italics"/> <foreign lang="el">a b</foreign> <emph type="italics"/>erat bi&longs;&longs;ecta in<emph.end type="italics"/> <foreign lang="el">g,</foreign> <emph type="italics"/>& detracta e&longs;t de dimi­<lb/>dia<emph.end type="italics"/> <foreign lang="el">g b</foreign> <emph type="italics"/>portio<emph.end type="italics"/> <foreign lang="el">q g,</foreign> <emph type="italics"/>quæ additur ip&longs;i dimidiæ<emph.end type="italics"/> <foreign lang="el">a g.</foreign> </s> |
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| <s><emph type="italics"/>E&longs;t igitur<emph.end type="italics"/><lb/><foreign lang="greek">d q</foreign> <emph type="italics"/>maior quam<emph.end type="italics"/> <foreign lang="greek">q z. </foreign></s></p><p type="main"> | <s><emph type="italics"/>E&longs;t igitur<emph.end type="italics"/><lb/><foreign lang="el">d q</foreign> <emph type="italics"/>maior quam<emph.end type="italics"/> <foreign lang="el">q z. </foreign></s></p><p type="main"> |
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| <s id="id.001312"><emph type="italics"/>Hoc autem quanquam verum &longs;it, quor&longs;um tamen, dubium e&longs;t. <lb/></s> | <s id="id.001312"><emph type="italics"/>Hoc autem quanquam verum &longs;it, quor&longs;um tamen, dubium e&longs;t. <lb/></s> |
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| <s id="id.001313">Exi&longs;timauit Nonius ideò hîc po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi­<emph.end type="italics"/><lb/><figure id="id.035.01.121.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.121.1.jpg"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hanc de&longs;cri­<lb/>bit figuram. </s> | <s id="id.001313">Exi&longs;timauit Nonius ideò hîc po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi­<emph.end type="italics"/><lb/><figure id="id.035.01.121.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.121.1.jpg"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hanc de&longs;cri­<lb/>bit figuram. </s> |
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| <s id="id.001314">qua demon­<lb/>&longs;trat cum A caput remi <lb/>remigatione facta e&longs;t in <lb/>D, palmulam B remi A <lb/>B e&longs;&longs;e non in <emph.end type="italics"/><foreign lang="greek"> z</foreign><emph type="italics"/>: &longs;ed in K <lb/>vltra <emph.end type="italics"/><foreign lang="greek"> z</foreign>. </s> | <s id="id.001314">qua demon­<lb/>&longs;trat cum A caput remi <lb/>remigatione facta e&longs;t in <lb/>D, palmulam B remi A <lb/>B e&longs;&longs;e non in <emph.end type="italics"/><foreign lang="el"> z</foreign><emph type="italics"/>: &longs;ed in K <lb/>vltra <emph.end type="italics"/><foreign lang="el"> z</foreign>. </s> |
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| <s id="id.001315"><emph type="italics"/>Nihilominu&longs;que <lb/>B K motum palmulæ B <lb/>retror&longs;um minorem e&longs;&longs;e A <lb/>D motu capitis A an­<lb/>tror&longs;um, &longs;ecundum &longs;enten­<lb/>tiam Ari&longs;totelis. </s> | <s id="id.001315"><emph type="italics"/>Nihilominu&longs;que <lb/>B K motum palmulæ B <lb/>retror&longs;um minorem e&longs;&longs;e A <lb/>D motu capitis A an­<lb/>tror&longs;um, &longs;ecundum &longs;enten­<lb/>tiam Ari&longs;totelis. </s> |
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| <s id="id.001316">Et &longs;ic <lb/>Nonius remigatione facta <lb/>& tran&longs;uecta naui ponit <lb/>&longs;calmum C tran&longs;uectum e&longs;&longs;e in T: vel ex &longs;uperiori Victoris figura <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.122.jpg" pagenum="83"/><emph type="italics"/>ex<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>in<emph.end type="italics"/> <foreign lang="greek">q.</foreign> </s> | <s id="id.001316">Et &longs;ic <lb/>Nonius remigatione facta <lb/>& tran&longs;uecta naui ponit <lb/>&longs;calmum C tran&longs;uectum e&longs;&longs;e in T: vel ex &longs;uperiori Victoris figura <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.122.jpg" pagenum="83"/><emph type="italics"/>ex<emph.end type="italics"/> <foreign lang="el">g</foreign> <emph type="italics"/>in<emph.end type="italics"/> <foreign lang="el">q.</foreign> </s> |
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| <s><emph type="italics"/>Sed &longs;i &longs;ic e&longs;&longs;et, T idem &longs;calmus qui C, propior cum &longs;it <lb/>aquæ: quam ip&longs;e C, &longs;equeretur vt in vnius remigationis principio, <lb/>medio, fine nauis plus & minus mergeretur. </s> | <s><emph type="italics"/>Sed &longs;i &longs;ic e&longs;&longs;et, T idem &longs;calmus qui C, propior cum &longs;it <lb/>aquæ: quam ip&longs;e C, &longs;equeretur vt in vnius remigationis principio, <lb/>medio, fine nauis plus & minus mergeretur. </s> |
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| <s>Ba&longs;es erunt æquales, &longs;i triangula fiant æqui <lb/>crura, &longs;i iniquicrura, illius trianguli ba&longs;is erit maior, cuius latera <lb/>angulum continentia &longs;unt maiora, vt antea ostendimus. </s> | <s>Ba&longs;es erunt æquales, &longs;i triangula fiant æqui <lb/>crura, &longs;i iniquicrura, illius trianguli ba&longs;is erit maior, cuius latera <lb/>angulum continentia &longs;unt maiora, vt antea ostendimus. </s> |
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| <s id="id.001320">Hæc igi­<lb/>tur cum expendo cogor aliud &longs;entire quam Nonius licet timidè (quia <lb/>viro huic propter &longs;cientiam præ&longs;tantem, & quod in loco natus &longs;it, <lb/>vixeritque ad nauigandum opportunißimo, multò plura quam mihi <lb/>tribuere &longs;oleo) dicam tamen quod &longs;entio nempe conclu&longs;ionem i&longs;tam<emph.end type="italics"/><lb/><foreign lang="greek">d q</foreign> <emph type="italics"/>maiorem e&longs;&longs;e<emph.end type="italics"/> <foreign lang="greek">q z,</foreign> <emph type="italics"/>pertinere eò, vt inferatur caput remi A <lb/>tran&longs;uecti non con&longs;i&longs;tere in<emph.end type="italics"/> <foreign lang="greek">d</foreign>: <emph type="italics"/>&longs;ed vltra. </s> | <s id="id.001320">Hæc igi­<lb/>tur cum expendo cogor aliud &longs;entire quam Nonius licet timidè (quia <lb/>viro huic propter &longs;cientiam præ&longs;tantem, & quod in loco natus &longs;it, <lb/>vixeritque ad nauigandum opportunißimo, multò plura quam mihi <lb/>tribuere &longs;oleo) dicam tamen quod &longs;entio nempe conclu&longs;ionem i&longs;tam<emph.end type="italics"/><lb/><foreign lang="el">d q</foreign> <emph type="italics"/>maiorem e&longs;&longs;e<emph.end type="italics"/> <foreign lang="el">q z,</foreign> <emph type="italics"/>pertinere eò, vt inferatur caput remi A <lb/>tran&longs;uecti non con&longs;i&longs;tere in<emph.end type="italics"/> <foreign lang="el">d</foreign>: <emph type="italics"/>&longs;ed vltra. </s> |
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| <s id="id.001321">vt in figuræ no&longs;træ pun­<lb/>cto F. </s> | <s id="id.001321">vt in figuræ no&longs;træ pun­<lb/>cto F. </s> |
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| <s id="id.001425">Nihil autem vnquam re­<lb/>trocedere o&longs;tendetur in hunc modum. </s> | <s id="id.001425">Nihil autem vnquam re­<lb/>trocedere o&longs;tendetur in hunc modum. </s> |
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| <s id="id.001426">Eadem celeritate mouentur A <lb/>in H, & C ver&longs;us <emph.end type="italics"/><foreign lang="greek">z</foreign><emph type="italics"/> circa &longs;calmum. </s> | <s id="id.001426">Eadem celeritate mouentur A <lb/>in H, & C ver&longs;us <emph.end type="italics"/><foreign lang="el">z</foreign><emph type="italics"/> circa &longs;calmum. </s> |
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| <s id="id.001427">Atqui per hypothe&longs;im cele­<lb/>rius fertur nauis: quam C ver&longs;us <emph.end type="italics"/><foreign lang="greek">z</foreign><emph type="italics"/>. </s> | <s id="id.001427">Atqui per hypothe&longs;im cele­<lb/>rius fertur nauis: quam C ver&longs;us <emph.end type="italics"/><foreign lang="el">z</foreign><emph type="italics"/>. </s> |
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| <s id="id.001428">Et mouetur idem C ip&longs;a nauis <lb/>celeritate ver&longs;us K. </s> | <s id="id.001428">Et mouetur idem C ip&longs;a nauis <lb/>celeritate ver&longs;us K. </s> |
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| <s>celerius igitur feretur C ad K: quam ad <emph.end type="italics"/><foreign lang="greek">z</foreign><emph type="italics"/>. <lb/></s> | <s>celerius igitur feretur C ad K: quam ad <emph.end type="italics"/><foreign lang="el">z</foreign><emph type="italics"/>. <lb/></s> |
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| <s>quapropter nihil vnquam retrocedet ip&longs;um C. </s> | <s>quapropter nihil vnquam retrocedet ip&longs;um C. </s> |
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| <s id="id.001429">Imo vero in vlte­<lb/>riora progredietur, interuallumque decurret C K, quod quidem re­<lb/>linquitur, detracto <emph.end type="italics"/><foreign lang="greek">z</foreign><emph type="italics"/> C ex <emph.end type="italics"/><foreign lang="greek">z</foreign><emph type="italics"/> K. </s> | <s id="id.001429">Imo vero in vlte­<lb/>riora progredietur, interuallumque decurret C K, quod quidem re­<lb/>linquitur, detracto <emph.end type="italics"/><foreign lang="el">z</foreign><emph type="italics"/> C ex <emph.end type="italics"/><foreign lang="el">z</foreign><emph type="italics"/> K. </s> |
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| <s id="id.001430">Si enim remi palmula tota ip&longs;a <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.129.jpg" pagenum="90"/><emph type="italics"/>nauigij celeritate moueretur, vltra k progrederetur, cum B perue­<lb/>niret ad D: &longs;ed retrahitur interim, propter eum motum, qui fit cir­<lb/>ca B. </s> | <s id="id.001430">Si enim remi palmula tota ip&longs;a <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.129.jpg" pagenum="90"/><emph type="italics"/>nauigij celeritate moueretur, vltra k progrederetur, cum B perue­<lb/>niret ad D: &longs;ed retrahitur interim, propter eum motum, qui fit cir­<lb/>ca B. </s> |
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| <s id="id.001436">Po&longs;tremo cum nauis longius progreditur: quam palmula <lb/>regreditur: minus quo que interuallum decurrit: quam caput remi, & <lb/>&longs;ic non æquale. </s> | <s id="id.001436">Po&longs;tremo cum nauis longius progreditur: quam palmula <lb/>regreditur: minus quo que interuallum decurrit: quam caput remi, & <lb/>&longs;ic non æquale. </s> |
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| <s id="id.001437">Atque hæc cum &longs;int &longs;uis veris demon&longs;trationibus <lb/>&longs;tabilita Ari&longs;totelem in hoc problemate dormita&longs;&longs;e, quod aliquando <lb/>bono Homero contingit, conuincunt. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001437">Atque hæc cum &longs;int &longs;uis veris demon&longs;trationibus <lb/>&longs;tabilita Ari&longs;totelem in hoc problemate dormita&longs;&longs;e, quod aliquando <lb/>bono Homero contingit, conuincunt. <emph.end type="italics"/></s></p></subchap1><subchap1><p type="main"> |
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| <s id="id.001438"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001438"><foreign lang="el">to\ d' <lb/>au)to\ kai\ to\ phda/lion poiei=.</foreign></s> |
| | <s id="g0130515a"><foreign lang="el"> plh\n o(/ti ei)s to\ pro/sqen ou)de\n <lb/>sumba/lletai tw=| ploi/w|, w(/sper e)le/xqh e)pi\ a)/nw, a)lla\ <lb/>mo/non th\n pru/mnan ei)s to\ pla/gion a)pwqei= e)/nqa h)\ e)/nqa.</foreign></s> |
| | <s id="g0130515b"><foreign lang="el">ei)s <lb/>tou)nanti/on ga\r h( prw=|ra ou(/tw neu/ei.</foreign></s> |
| | <s id="g0130516"><foreign lang="el">h(=| me\n dh\ to\ phda/lion <lb/>prose/zeuktai, dei= oi(=o/n ti tou= kinoume/nou me/son noei=n, kai\ w(/sper <lb/>o( skalmo\s th=| kw/ph|: to\ de\ me/son u(poxwrei=, h(=| o( oi)/as metakinei=tai.</foreign></s> |
| | <s id="g0130517"><foreign lang="el"><lb/>e)a\n me\n ei)/sw a)/gh|, kai\ h( pru/mna deu=ro meqe/sthken: <lb/>h( de\ prw=|ra ei)s tou)nanti/on neu/ei.</foreign></s> |
| | <s id="g0130517a"><foreign lang="el">e)n ga\r tw=| au)tw=| <lb/>ou)/shs th=s prw/|ras, to\ ploi=on meqe/sthken o(/lon.</foreign></s></p><p type="main"> |
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| <s id="id.001439">Id etiam ip&longs;um facit gu­<lb/>bernaculum, ni&longs;i quod an­<lb/>terius non mouet nauim: <lb/>vt antea dictum e&longs;t: &longs;ed <lb/>hinc vel hinc puppim &longs;o­<lb/>lum in tran&longs;uer&longs;um pellit. <lb/></s> | <s id="id.001439">Id etiam ip&longs;um facit gu­<lb/>bernaculum, ni&longs;i quod an­<lb/>terius non mouet nauim: <lb/>vt antea dictum e&longs;t: &longs;ed <lb/>hinc vel hinc puppim &longs;o­<lb/>lum in tran&longs;uer&longs;um pellit. <lb/></s> |
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| <s id="id.001440">Sic enim in <expan abbr="cõtrariũ">contrarium</expan> prora <lb/>vergit. </s> | <s id="id.001440">Sic enim in <expan abbr="cõtrariũ">contrarium</expan> prora <lb/>vergit. </s> |
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| <s id="id.001441">Vbi igitur <expan abbr="guberna-culũ">guberna­<lb/>culum</expan> <expan abbr="adiũctũ">adiunctum</expan> e&longs;t, ibi opor­<lb/>tet aliquod eius, quod mo­<lb/>uetur <expan abbr="mediũ">medium</expan> intelligere, & <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.130.jpg" pagenum="91"/><foreign lang="greek"><gap/></foreign><lb/>qualis e&longs;t &longs;calmus remo: <lb/>Illud vero medium proce­<lb/>dit, quo temo transfertur. <lb/></s> | <s id="id.001441">Vbi igitur <expan abbr="guberna­culũ">guberna­<lb/>culum</expan> <expan abbr="adiũctũ">adiunctum</expan> e&longs;t, ibi opor­<lb/>tet aliquod eius, quod mo­<lb/>uetur <expan abbr="mediũ">medium</expan> intelligere, & <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.130.jpg" pagenum="91"/>qualis e&longs;t &longs;calmus remo: <lb/>Illud vero medium proce­<lb/>dit, quo temo transfertur. <lb/></s> |
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| <s id="id.001442">Si quidem intror&longs;us agat, <lb/>etiam puppis eò transfer­<lb/>tur, prora verò in con­<lb/>trarium nutat. </s> | <s id="id.001442">Si quidem intror&longs;us agat, <lb/>etiam puppis eò transfer­<lb/>tur, prora verò in con­<lb/>trarium nutat. </s> |
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| <s id="id.001452">Id nunc adiungit. </s> | <s id="id.001452">Id nunc adiungit. </s> |
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| <s id="id.001453">E&longs;t autem cardo cui puppis <lb/>nauis annectitur non aliter quam &longs;calmo remus, vt & circa cardi­<lb/>nem gubernaculum vertitur, &longs;icut circa &longs;calmum remus. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001453">E&longs;t autem cardo cui puppis <lb/>nauis annectitur non aliter quam &longs;calmo remus, vt & circa cardi­<lb/>nem gubernaculum vertitur, &longs;icut circa &longs;calmum remus. <emph.end type="italics"/></s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.001454"><foreign lang="greek">*th=s kerai/as duna/menews ai)/tion. </foreign></s></p><p type="main"> | <s id="id.001454">7. <foreign lang="el">*th=s kerai/as duna/menews ai)/tion. </foreign></s></p><p type="main"> |
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| <s id="id.001455">7. Cau&longs;a pote&longs;tatis <lb/>Antemnæ. </s></p><p type="main"> | <s id="id.001455">7. Cau&longs;a pote&longs;tatis <lb/>Antemnæ. </s></p><p type="main"> |
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| <s id="id.001456"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001456"><foreign lang="el">*dia\ ti/ o(/sw| a)\n h( kerai/a a)nwte/ra h)=|, qa=tton plei= ta\ <lb/>ploi=a tw=| au)tw=| i(sti/w| kai\ tw=| au)tw=| pneu/mati; </foreign></s> |
| | <s id="g0130602"><foreign lang="el">h)\ dio/ti gi/netai <lb/>o( me\n i(sto\s moxlo/s, u(pomo/xlion de\ to\ e(dw/lion e)n w(=|<lb/> e)mpe/phgen;</foreign></s> |
| | <s id="g0130602a"><foreign lang="el">o(\ de\ dei= kinei=n ba/ros, to\ ploi=on, to\ de\ kinou=n, <lb/>to\ e)n tw=| i(sti/w| pneu=ma.</foreign></s> |
| | <s id="g0130603"><foreign lang="el">ei) d' o(/sw| a)\n por)r(w/teron h)=| to\ u(pomo/xlion, <lb/>r(a=|on kinei= kai\ qa=tton h( au)th\ du/namis to\ au)to\ <lb/>ba/ros.</foreign></s> |
| | <s id="g0130603a"><foreign lang="el">h( ou)=n kerai/a a)nw/teron a)gome/nh, kai\ to\ i(sti/on por)r(w/teron <lb/>poiei= tou= e(dwli/ou u(pomoxli/ou o)/ntos.</foreign></s></p><p type="main"> |
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| <s id="id.001457">Cur quantò antemna &longs;u­<lb/>perior fuerit, tantò celerius <lb/>nauis feratur <expan abbr="eod&etilde;">eodem</expan> velo, <expan abbr="eo-demq;">eo­<lb/>demque</expan> <expan abbr="v&etilde;to">vento</expan>? </s> | <s id="id.001457">Cur quantò antemna &longs;u­<lb/>perior fuerit, tantò celerius <lb/>nauis feratur <expan abbr="eod&etilde;">eodem</expan> velo, <expan abbr="eo­demq;">eo­<lb/>demque</expan> <expan abbr="v&etilde;to">vento</expan>? </s> |
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| <s id="id.001458">An quia malus <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.131.jpg" pagenum="92"/><foreign lang="greek"><gap/></foreign><lb/>e&longs;t vectis, & calx in qua in­<lb/>figitur, pre&longs;&longs;io? </s> | <s id="id.001458">An quia malus <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.131.jpg" pagenum="92"/>e&longs;t vectis, & calx in qua in­<lb/>figitur, pre&longs;&longs;io? </s> |
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| <s id="id.001459">Quod vero <lb/>pondus mouere oportet, <lb/>e&longs;t nauis: & ventus in <expan abbr="velũ">velum</expan>, <lb/>e&longs;t mouens. </s> | <s id="id.001459">Quod vero <lb/>pondus mouere oportet, <lb/>e&longs;t nauis: & ventus in <expan abbr="velũ">velum</expan>, <lb/>e&longs;t mouens. </s> |
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| <s id="id.001462">Antemnæ.] <emph type="italics"/>Antemna lignum e&longs;t per tran&longs;uer&longs;um in malo <lb/>nauis po&longs;itum, à quo velum dependet. </s> | <s id="id.001462">Antemnæ.] <emph type="italics"/>Antemna lignum e&longs;t per tran&longs;uer&longs;um in malo <lb/>nauis po&longs;itum, à quo velum dependet. </s> |
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| <s id="id.001463">Latini illius ligni extre­<lb/>mas partes <expan abbr="vocãt">vocant</expan> cornua ob quod Bayfius putat antemnas dici Græ­<lb/>cis<emph.end type="italics"/> <foreign lang="greek">kerai/an. </foreign><emph type="italics"/></s> | <s id="id.001463">Latini illius ligni extre­<lb/>mas partes <expan abbr="vocãt">vocant</expan> cornua ob quod Bayfius putat antemnas dici Græ­<lb/>cis<emph.end type="italics"/> <foreign lang="el">kerai/an. </foreign><emph type="italics"/></s> |
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| <s>Malus vero nauis aliud e&longs;t lignum propè in medio nauis <lb/>in&longs;tar <expan abbr="trũci">trunci</expan> arboris perpendiculariter infixum,<emph.end type="italics"/> <foreign lang="greek">i(sto\s,</foreign> <emph type="italics"/>cuius partes di­<lb/>uer&longs;is appellationibus di&longs;tinctæ à Macrobio in quinto Saturnalium <lb/>in hæc verba &longs;unt. </s> | <s>Malus vero nauis aliud e&longs;t lignum propè in medio nauis <lb/>in&longs;tar <expan abbr="trũci">trunci</expan> arboris perpendiculariter infixum,<emph.end type="italics"/> <foreign lang="el">i(sto\s,</foreign> <emph type="italics"/>cuius partes di­<lb/>uer&longs;is appellationibus di&longs;tinctæ à Macrobio in quinto Saturnalium <lb/>in hæc verba &longs;unt. </s> |
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| <s id="id.001464">A&longs;clepiades autem vir inter Græcos apprimè <lb/>doctus ac diligens carche&longs;ia à nauali re dicta exi&longs;timat. </s> | <s id="id.001464">A&longs;clepiades autem vir inter Græcos apprimè <lb/>doctus ac diligens carche&longs;ia à nauali re dicta exi&longs;timat. </s> |
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| <s id="id.001465">At enim <lb/>naualis mali partem inferiorem, pternam vocari, at circa mediam <lb/>ferme partem<emph.end type="italics"/> <foreign lang="greek">tra/xhlon</foreign> <emph type="italics"/>dici: &longs;ummam vero partem carche&longs;ium <lb/>nominari, & inde diffundi in vtrumque veli latus ea quæ cornua <lb/>vocantur. </s> | <s id="id.001465">At enim <lb/>naualis mali partem inferiorem, pternam vocari, at circa mediam <lb/>ferme partem<emph.end type="italics"/> <foreign lang="el">tra/xhlon</foreign> <emph type="italics"/>dici: &longs;ummam vero partem carche&longs;ium <lb/>nominari, & inde diffundi in vtrumque veli latus ea quæ cornua <lb/>vocantur. </s> |
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| <s id="id.001466">Velum etiam e&longs;t linteum quadrangulum vel triangulum <lb/>ex antemna dependens, quod expen&longs;um excipit ventum, cuius im­<lb/>pul&longs;u nauis tran&longs;uehitur non aliter <expan abbr="quã">quam</expan> antea diximus remis. </s> | <s id="id.001466">Velum etiam e&longs;t linteum quadrangulum vel triangulum <lb/>ex antemna dependens, quod expen&longs;um excipit ventum, cuius im­<lb/>pul&longs;u nauis tran&longs;uehitur non aliter <expan abbr="quã">quam</expan> antea diximus remis. </s> |
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| <s id="id.001469">Sic enim de eo apud Diodorum legimus. <emph.end type="italics"/> </s> | <s id="id.001469">Sic enim de eo apud Diodorum legimus. <emph.end type="italics"/> </s> |
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| <s><foreign lang="greek">pro\s de\ <lb/>tou/tois th\n tw=n i(sti/wn xrei/an toi=s nautikoi=s ei)shgh/sasqai kai\ di­<lb/>da/cai. </foreign><emph type="italics"/> </s> | <s><foreign lang="el">pro\s de\ <lb/>tou/tois th\n tw=n i(sti/wn xrei/an toi=s nautikoi=s ei)shgh/sasqai kai\ di­<lb/>da/cai. </foreign><emph type="italics"/> </s> |
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| <s>id e&longs;t in&longs;uper & velorum v&longs;um nautis introduxi&longs;&longs;e, ratio­<lb/>nemque vtendi docui&longs;&longs;e. </s> | <s>id e&longs;t in&longs;uper & velorum v&longs;um nautis introduxi&longs;&longs;e, ratio­<lb/>nemque vtendi docui&longs;&longs;e. </s> |
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| <s id="id.001470">velorum autem apud veteres tria fuerunt <lb/>genera Artemo & acatium, quod velum maius: dolo, quod minus <lb/>erat: &<emph.end type="italics"/> <foreign lang="greek">e)po/dromos,</foreign> <emph type="italics"/>quod velum à tergo ponebatur. </s> | <s id="id.001470">velorum autem apud veteres tria fuerunt <lb/>genera Artemo & acatium, quod velum maius: dolo, quod minus <lb/>erat: &<emph.end type="italics"/> <foreign lang="el">e)po/dromos,</foreign> <emph type="italics"/>quod velum à tergo ponebatur. </s> |
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| <s id="id.001471">vnde nauis à <lb/>Iulio polluce<emph.end type="italics"/> <foreign lang="greek">triar/menos,</foreign> <emph type="italics"/>Antigoni dicta, quæ tria vela haberet <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.132.jpg" pagenum="93"/><emph type="italics"/>trino&longs;que malos, quod antiquis fuit <expan abbr="rarũ">rarum</expan>, no&longs;tris hodie <expan abbr="frequ&etilde;tißimũ">frequentißimum</expan>. <lb/></s> | <s id="id.001471">vnde nauis à <lb/>Iulio polluce<emph.end type="italics"/> <foreign lang="el">triar/menos,</foreign> <emph type="italics"/>Antigoni dicta, quæ tria vela haberet <emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.132.jpg" pagenum="93"/><emph type="italics"/>trino&longs;que malos, quod antiquis fuit <expan abbr="rarũ">rarum</expan>, no&longs;tris hodie <expan abbr="frequ&etilde;tißimũ">frequentißimum</expan>. <lb/></s> |
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| <s id="id.001472">quia inuenta pyxide nautica, inquit Cardanus, & lapidis Herculis <lb/>auxilio pluribus locis vela dispo&longs;ita, melius dirigunt iter: antiquis <lb/>contrà, quoniam &longs;yderibus Cyno&longs;ura, & Helice, vias dirigebant, & <lb/>ob id non ad amußim, nec ex lineis, cra&longs;&longs;a quidem Minerua: &longs;ed certa <lb/>deformatis malorum multitudo confu&longs;ionem in cur&longs;u, & impedi­<lb/>mentum, maiu&longs;que periculum attuli&longs;&longs;et. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001472">quia inuenta pyxide nautica, inquit Cardanus, & lapidis Herculis <lb/>auxilio pluribus locis vela dispo&longs;ita, melius dirigunt iter: antiquis <lb/>contrà, quoniam &longs;yderibus Cyno&longs;ura, & Helice, vias dirigebant, & <lb/>ob id non ad amußim, nec ex lineis, cra&longs;&longs;a quidem Minerua: &longs;ed certa <lb/>deformatis malorum multitudo confu&longs;ionem in cur&longs;u, & impedi­<lb/>mentum, maiu&longs;que periculum attuli&longs;&longs;et. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001476">Nam nauis velocitas, <lb/>non &longs;olum pendet à ventorum impetu & rectitudine, & velorum <lb/>magnitudine: &longs;ed & ex loco humiliore, vel &longs;ublimiore, ex cæli ab <lb/>Oriente in Occidentem conuer&longs;ione, nauis leuitate & forma. </s> | <s id="id.001476">Nam nauis velocitas, <lb/>non &longs;olum pendet à ventorum impetu & rectitudine, & velorum <lb/>magnitudine: &longs;ed & ex loco humiliore, vel &longs;ublimiore, ex cæli ab <lb/>Oriente in Occidentem conuer&longs;ione, nauis leuitate & forma. </s> |
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| <s id="id.001477">quæ <lb/>enim non merguntur vt<emph.end type="italics"/> <foreign lang="greek">droma/des</foreign> <emph type="italics"/>(&longs;ic enim vocat Ari&longs;tophanes <lb/>eas, quas nunc vulgus fregatas appellat) qua&longs;i aquis innitentes cur&longs;u <lb/>&longs;unt velocißimæ, & longiores latis, po&longs;t eas, quæ carinam habent te­<lb/>nuem, vt aquas facile diuidant, vltimo loco quæ qua&longs;i mediæ ante <lb/>quidem tenues, po&longs;t latiores ad velocem cur&longs;um & ferendum onera <lb/>aptæ, & humiles altis, & leui ex ligno: &longs;ed & parte intra aquam <lb/>polita læuigata & &longs;æuo illita. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001477">quæ <lb/>enim non merguntur vt<emph.end type="italics"/> <foreign lang="el">droma/des</foreign> <emph type="italics"/>(&longs;ic enim vocat Ari&longs;tophanes <lb/>eas, quas nunc vulgus fregatas appellat) qua&longs;i aquis innitentes cur&longs;u <lb/>&longs;unt velocißimæ, & longiores latis, po&longs;t eas, quæ carinam habent te­<lb/>nuem, vt aquas facile diuidant, vltimo loco quæ qua&longs;i mediæ ante <lb/>quidem tenues, po&longs;t latiores ad velocem cur&longs;um & ferendum onera <lb/>aptæ, & humiles altis, & leui ex ligno: &longs;ed & parte intra aquam <lb/>polita læuigata & &longs;æuo illita. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001478">An quia malus e&longs;t.] <emph type="italics"/>Solutio e&longs;t problematis propo&longs;iti per re­<lb/>ductionem mali ad vectem, & eius calcis ad hypomochlium. </s> | <s id="id.001478">An quia malus e&longs;t.] <emph type="italics"/>Solutio e&longs;t problematis propo&longs;iti per re­<lb/>ductionem mali ad vectem, & eius calcis ad hypomochlium. </s> |
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| <s id="id.001496">Quin &longs;i nimium adhuc venti &longs;æuiant, <lb/>dolonem demittant adhuc infra magis, quin & ip&longs;um malum etiam <lb/>&longs;ublato velo, aut circa antemnam implexo & inuoluto, & ne nauis <lb/>obruatur, antror&longs;um. </s> | <s id="id.001496">Quin &longs;i nimium adhuc venti &longs;æuiant, <lb/>dolonem demittant adhuc infra magis, quin & ip&longs;um malum etiam <lb/>&longs;ublato velo, aut circa antemnam implexo & inuoluto, & ne nauis <lb/>obruatur, antror&longs;um. </s> |
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| <s id="id.001497">Hæc enim pars vim <expan abbr="ventorũ">ventorum</expan> omnem excipit: <lb/>gubernatores etiam puppim multa arena, lapilli&longs;que onerare, &longs;i de&longs;it <lb/>aliud onus, &longs;olent. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001497">Hæc enim pars vim <expan abbr="ventorũ">ventorum</expan> omnem excipit: <lb/>gubernatores etiam puppim multa arena, lapilli&longs;que onerare, &longs;i de&longs;it <lb/>aliud onus, &longs;olent. <emph.end type="italics"/></s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.001498"><foreign lang="greek">*dia\ ti/ o(/tan e)kkerai/as bou/­<lb/>lwntai diadramei=n po/da poiou=si. </foreign></s></p><p type="main"> | <s id="id.001498">8. <foreign lang="el">*dia\ ti/ o(/tan e)kkerai/as bou/­<lb/>lwntai diadramei=n po/da poiou=si. </foreign></s></p><p type="main"> |
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| <s id="id.001499">8. Cur quando è cornu vo­<lb/>lunt nauigare pedem fa­<lb/>ciunt. </s></p><p type="main"> | <s id="id.001499">8. Cur quando è cornu vo­<lb/>lunt nauigare pedem fa­<lb/>ciunt. </s></p><p type="main"> |
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| <s id="id.001500"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001500"><foreign lang="el">*dia\ ti/ o(/tan e)kke)rai/as bou/lwntai diadramei=n, mh\ ou)ri/ou <lb/>tou= pneu/matos o)/ntos, to\ me\n pro\s to\n kubernh/thn tou= i(sti/ou <lb/>me/ros ste/llontai, to\ de\ pro\s th\n prw=|ran podiai=on poihsa/menoi <lb/>e)fia=sin; </foreign></s> |
| | <s id="g0130702"><foreign lang="el">h)\ dio/ti a)ntispa=| to\ phda/lion: pollw=| ma=llon <lb/>o)/nti tw=| pneu/mati, ou) du/natai, o)li/gw| de/ o(\ u(poste/llontai.</foreign></s> |
| | <s id="g0130703"><foreign lang="el"><lb/>proa/gei me\n ou)=n to\ pneu=ma, ei)s ou)/rion de\ kaqi/sthsi to\ <lb/>phda/lion, a)ntispw=n kai\ moxleu=on th\n qa/lattan.</foreign></s> |
| | <s id="g0130704"><foreign lang="el">a(/ma <lb/>de\ kai\ oi( nau=tai ma/xontai tw=| pneu/mati: a)nakli/nousi ga\r <lb/>e)pi\ to\ e)nanti/on e(autou/s.</foreign></s></p><p type="main"> |
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| <s id="id.001501">Cur quando è cornu na­<lb/>uigare voluerint vento &longs;e­<lb/>cundo non exi&longs;tente, par­<lb/>tem quidem veli ad guber­<lb/>natorem &longs;pectantem con­<lb/>trahunt: <expan abbr="part&etilde;">partem</expan> vero ad pro­<lb/>ram <expan abbr="relaxãt">relaxant</expan> pedem facien­<lb/>tes. </s> | <s id="id.001501">Cur quando è cornu na­<lb/>uigare voluerint vento &longs;e­<lb/>cundo non exi&longs;tente, par­<lb/>tem quidem veli ad guber­<lb/>natorem &longs;pectantem con­<lb/>trahunt: <expan abbr="part&etilde;">partem</expan> vero ad pro­<lb/>ram <expan abbr="relaxãt">relaxant</expan> pedem facien­<lb/>tes. </s> |
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| <s id="id.001502">An quia gubernacu­<lb/>lum non pote&longs;t auertere, <lb/>cum multus exiftit ventus: <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.134.jpg" pagenum="95"/><foreign lang="greek"><gap/></foreign><lb/><expan abbr="cũ">cum</expan> paucus verò pote&longs;t. </s> | <s id="id.001502">An quia gubernacu­<lb/>lum non pote&longs;t auertere, <lb/>cum multus exiftit ventus: <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.134.jpg" pagenum="95"/><expan abbr="cũ">cum</expan> paucus verò pote&longs;t. </s> |
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| <s id="id.001503"><expan abbr="v&etilde;tus">ventus</expan> <lb/>igitur perpellit, quem &longs;e­<lb/>cundum facit gubernacu­<lb/>lum, auertens & compel­<lb/>lens mare, &longs;imul & nautæ <lb/>pugnant cum vento, & in <lb/>contrariam nituntur par­<lb/>tem. </s></p><p type="head"> | <s id="id.001503"><expan abbr="v&etilde;tus">ventus</expan> <lb/>igitur perpellit, quem &longs;e­<lb/>cundum facit gubernacu­<lb/>lum, auertens & compel­<lb/>lens mare, &longs;imul & nautæ <lb/>pugnant cum vento, & in <lb/>contrariam nituntur par­<lb/>tem. </s></p><p type="head"> |
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| <s id="id.001509">Cornua velatarum obuertimus antemnarum. </s></p><p type="main"> | <s id="id.001509">Cornua velatarum obuertimus antemnarum. </s></p><p type="main"> |
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| <s id="id.001510">Pedem faciunt.] <emph type="italics"/>Ex textu & rei natura quæ in eo explica­<lb/>tur ratiocinantes hîc pro<emph.end type="italics"/> <foreign lang="greek">ou(/tws poiou=oi</foreign> <emph type="italics"/>repo&longs;uimus<emph.end type="italics"/> <foreign lang="greek">po/da poiou=oi. </foreign><emph type="italics"/>E&longs;t <lb/>autem<emph.end type="italics"/> <foreign lang="greek">pou/s</foreign> <emph type="italics"/>Græcis, & pes Latinis variæ admodum &longs;ignificationis. <lb/></s> | <s id="id.001510">Pedem faciunt.] <emph type="italics"/>Ex textu & rei natura quæ in eo explica­<lb/>tur ratiocinantes hîc pro<emph.end type="italics"/> <foreign lang="el">ou(/tws poiou=oi</foreign> <emph type="italics"/>repo&longs;uimus<emph.end type="italics"/> <foreign lang="el">po/da poiou=oi. </foreign><emph type="italics"/>E&longs;t <lb/>autem<emph.end type="italics"/> <foreign lang="el">pou/s</foreign> <emph type="italics"/>Græcis, & pes Latinis variæ admodum &longs;ignificationis. <lb/></s> |
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| <s id="id.001511">Præter cæteras hîc huius duas annotare licet. </s> | <s id="id.001511">Præter cæteras hîc huius duas annotare licet. </s> |
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| <s id="id.001512">Prior venit in men­<lb/>tem ob duos locos apud Galenum à perpaucis intellectos. </s> | <s id="id.001512">Prior venit in men­<lb/>tem ob duos locos apud Galenum à perpaucis intellectos. </s> |
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| <s id="id.001513">Alter e&longs;t <lb/>cap. 9. lib. 2. de mu&longs;c. motu: alter com. 4. in lib. 6. <emph.end type="italics"/> <foreign lang="greek">e(pid. </foreign><emph type="italics"/>in Aph. 24. <lb/>vbi dicit tibicines, præcones, nuncupatum<emph.end type="italics"/> <foreign lang="greek">po/da,</foreign> <emph type="italics"/>id e&longs;t, pedem cane­<lb/>re. </s> | <s id="id.001513">Alter e&longs;t <lb/>cap. 9. lib. 2. de mu&longs;c. motu: alter com. 4. in lib. 6. <emph.end type="italics"/> <foreign lang="el">e(pid. </foreign><emph type="italics"/>in Aph. 24. <lb/>vbi dicit tibicines, præcones, nuncupatum<emph.end type="italics"/> <foreign lang="el">po/da,</foreign> <emph type="italics"/>id e&longs;t, pedem cane­<lb/>re. </s> |
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| <s id="id.001516">vbi dubium non e&longs;t Galenum &longs;ignificare volui&longs;&longs;e genus quod­<lb/>dam vocis, quæ vehementi & longa exufflatione opus habeat, vt <lb/><expan abbr="etiã">etiam</expan> &longs;en&longs;it Hieronymus Mercurialis, qui hos Galeni locos ob&longs;erua­<lb/>uit. </s> | <s id="id.001516">vbi dubium non e&longs;t Galenum &longs;ignificare volui&longs;&longs;e genus quod­<lb/>dam vocis, quæ vehementi & longa exufflatione opus habeat, vt <lb/><expan abbr="etiã">etiam</expan> &longs;en&longs;it Hieronymus Mercurialis, qui hos Galeni locos ob&longs;erua­<lb/>uit. </s> |
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| <s id="id.001518">Cæ&longs;aris cum <expan abbr="pugnandũ">pugnandum</expan> &longs;ibi foret, <lb/>iußi&longs;&longs;e ab equis milites <expan abbr="de&longs;c&etilde;dere">de&longs;cendere</expan>, nequis <expan abbr="&longs;p&etilde;">&longs;pem</expan> fugæ in <expan abbr="equorũ">equorum</expan> celerita­<lb/>te reponeret. </s> | <s id="id.001518">Cæ&longs;aris cum <expan abbr="pugnandũ">pugnandum</expan> &longs;ibi foret, <lb/>iußi&longs;&longs;e ab equis milites <expan abbr="de&longs;c&etilde;dere">de&longs;cendere</expan>, nequis <expan abbr="&longs;p&etilde;">&longs;pem</expan> fugæ in <expan abbr="equorũ">equorum</expan> celerita­<lb/>te reponeret. </s> |
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| <s id="id.001519">Quæ iußio forta&longs;&longs;e erat,<emph.end type="italics"/> <foreign lang="greek">e)rei=n po/da,</foreign> <emph type="italics"/>dicere <expan abbr="ped&etilde;">pedem</expan>, vbi <expan abbr="St&etilde;-torea">Sten­<lb/>torea</expan> voce opus erat, vt ab omnibus audiretur: contra hodie apud <lb/>Gallos, inituris pugnam iubetur a&longs;cendere in equos: po&longs;terior e&longs;t qua <lb/>ea pars in velo, quæ acutior & inferior ad nauis latus, vel ad mali <lb/><expan abbr="pternã">pternam</expan> religatur, modóque <expan abbr="cõtrahitur">contrahitur</expan> modò relaxatur. </s> | <s id="id.001519">Quæ iußio forta&longs;&longs;e erat,<emph.end type="italics"/> <foreign lang="el">e)rei=n po/da,</foreign> <emph type="italics"/>dicere <expan abbr="ped&etilde;">pedem</expan>, vbi <expan abbr="St&etilde;­torea">Sten­<lb/>torea</expan> voce opus erat, vt ab omnibus audiretur: contra hodie apud <lb/>Gallos, inituris pugnam iubetur a&longs;cendere in equos: po&longs;terior e&longs;t qua <lb/>ea pars in velo, quæ acutior & inferior ad nauis latus, vel ad mali <lb/><expan abbr="pternã">pternam</expan> religatur, modóque <expan abbr="cõtrahitur">contrahitur</expan> modò relaxatur. </s> |
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| <s id="id.001520">vnde Poëta:<emph.end type="italics"/><lb/><arrow.to.target n="marg24"/></s></p><p type="margin"> | <s id="id.001520">vnde Poëta:<emph.end type="italics"/><lb/><arrow.to.target n="marg24"/></s></p><p type="margin"> |
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| <s id="id.001523"><emph type="italics"/>Alij tamen dicunt e&longs;&longs;e funem, quo id fit. </s> | <s id="id.001523"><emph type="italics"/>Alij tamen dicunt e&longs;&longs;e funem, quo id fit. </s> |
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| <s id="id.001524">Interpres Apollonij Rho­<lb/>dij funes veli id e&longs;t<emph.end type="italics"/> <foreign lang="greek">ka/lw</foreign> <emph type="italics"/>rudentes in tria genera diuidit. </s> | <s id="id.001524">Interpres Apollonij Rho­<lb/>dij funes veli id e&longs;t<emph.end type="italics"/> <foreign lang="el">ka/lw</foreign> <emph type="italics"/>rudentes in tria genera diuidit. </s> |
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| <s id="id.001525">Aut enim<arrow.to.target n="marg25"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.135.jpg" pagenum="96"/>detrahitur his velum, & vocantur<emph.end type="italics"/> <foreign lang="greek">mesouri/ai</foreign>: <emph type="italics"/>aut intenditur vtrin­<lb/>que ad proram, & &longs;unt<emph.end type="italics"/> <foreign lang="greek">pro/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek">kata\ ta\s gwni/as</foreign> <emph type="italics"/>ad angulos, & dicuntur<emph.end type="italics"/> <foreign lang="greek">po/des</foreign> <emph type="italics"/>& ante hos<emph.end type="italics"/><lb/><foreign lang="greek">pro/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib. 2. cap. 47. </s> | <s id="id.001525">Aut enim<arrow.to.target n="marg25"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.135.jpg" pagenum="96"/>detrahitur his velum, & vocantur<emph.end type="italics"/> <foreign lang="el">mesouri/ai</foreign>: <emph type="italics"/>aut intenditur vtrin­<lb/>que ad proram, & &longs;unt<emph.end type="italics"/> <foreign lang="el">pro/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="el">kata\ ta\s gwni/as</foreign> <emph type="italics"/>ad angulos, & dicuntur<emph.end type="italics"/> <foreign lang="el">po/des</foreign> <emph type="italics"/>& ante hos<emph.end type="italics"/><lb/><foreign lang="el">pro/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib. 2. cap. 47. </s> |
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| <s>Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant. <emph.end type="italics"/></s></p><p type="margin"> | <s>Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant. <emph.end type="italics"/></s></p><p type="margin"> |
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| <s id="id.001528">Cur quando.] <emph type="italics"/>Sextum e&longs;t problema &longs;peciale de vecte in naui­<lb/>gatione obliqua, quod &longs;oluitur triplici ope nempe veli obliqui ex par­<lb/>te contracti, parteque expan&longs;i gubernaculi tanquam vectis, & re­<lb/>migum renixus. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001528">Cur quando.] <emph type="italics"/>Sextum e&longs;t problema &longs;peciale de vecte in naui­<lb/>gatione obliqua, quod &longs;oluitur triplici ope nempe veli obliqui ex par­<lb/>te contracti, parteque expan&longs;i gubernaculi tanquam vectis, & re­<lb/>migum renixus. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001529">E cornu nauigare.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="greek">e)k ou)ri/as</foreign> <emph type="italics"/>hîc legendum putamus vt <lb/>in titulo<emph.end type="italics"/> <foreign lang="greek">e)k kerai/as</foreign> <emph type="italics"/>nam hæc &longs;unt<emph.end type="italics"/> <foreign lang="greek">a)si/stata</foreign> <emph type="italics"/>velle nauigare<emph.end type="italics"/> <foreign lang="greek">e)k ou)ri/as</foreign><lb/><emph type="italics"/>&<emph.end type="italics"/> <foreign lang="greek">mh\ ou)ri/ou pneu/ma/tos o(/ntos.</foreign> </s> | <s id="id.001529">E cornu nauigare.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="el">e)k ou)ri/as</foreign> <emph type="italics"/>hîc legendum putamus vt <lb/>in titulo<emph.end type="italics"/> <foreign lang="el">e)k kerai/as</foreign> <emph type="italics"/>nam hæc &longs;unt<emph.end type="italics"/> <foreign lang="el">a)si/stata</foreign> <emph type="italics"/>velle nauigare<emph.end type="italics"/> <foreign lang="el">e)k ou)ri/as</foreign><lb/><emph type="italics"/>&<emph.end type="italics"/> <foreign lang="el">mh\ ou)ri/ou pneu/ma/tos o(/ntos.</foreign> </s> |
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| <s><emph type="italics"/>Quomodo enim nauigabitur vento <lb/>&longs;ecundo, &longs;i ventus &longs;ecundus non e&longs;t. </s> | <s><emph type="italics"/>Quomodo enim nauigabitur vento <lb/>&longs;ecundo, &longs;i ventus &longs;ecundus non e&longs;t. </s> |
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| <s>Reliquus igitur G P Q <lb/>reliquo G A E minor erit, & ita de cæteris. </s> | <s>Reliquus igitur G P Q <lb/>reliquo G A E minor erit, & ita de cæteris. </s> |
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| <s id="id.001577">Sicque nauis proce&longs;&longs;u <lb/>&longs;uo mutabit &longs;en&longs;im temonem, vt & vela. <emph.end type="italics"/></s></p></chap><chap><p type="main"> | <s id="id.001577">Sicque nauis proce&longs;&longs;u <lb/>&longs;uo mutabit &longs;en&longs;im temonem, vt & vela. <emph.end type="italics"/></s></p></subchap1></chap><chap><subchap1><p type="main"> |
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| <s id="id.001578"><foreign lang="greek">*dia\ ti/ ta\ periferh= tw=n sxhma/twn eu)kinhto/tera. </foreign></s></p><p type="main"> | <s id="id.001578">9. <foreign lang="el">*dia\ ti/ ta\ periferh= tw=n sxhma/twn eu)kinhto/tera. </foreign></s></p><p type="main"> |
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| <s id="id.001579">9. Cur è figuris rotundæ <lb/>&longs;unt mobiliores. </s></p><p type="main"> | <s id="id.001579">9. Cur è figuris rotundæ <lb/>&longs;unt mobiliores. </s></p><p type="main"> |
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| <s id="id.001580"><foreign lang="greek"><gap/></foreign></s></p><p type="main"> | <s id="id.001580"><foreign lang="el">*dia\ ti/ ta\ stroggu/la kai\ periferh= tw=n sxhma/twn <lb/>eu)kinhto/tera; </foreign></s> |
| | <s id="g0130802"><foreign lang="el">trixw=s de\ e)nde/xetai to\n ku/klon kulisqh=nai: <lb/>h)\ ga\r kata\ th\n a(yi=da, summetaba/llontos tou= ke/ntrou, <lb/>w(/sper o( troxo\s o( th=s a(ma/chs kuli/etai: h)\ peri\ to\ ke/ntron <lb/>mo/non, w(/sper ai( troxile/ai tou= ke/ntrou me/nontos, h)\ para\ <lb/>to\ e)pi/pedon, tou= ke/ntrou me/nontos, w(/sper o( kerameiko\s troxo\s <lb/>kuli/ndetai.</foreign></s> |
| | <s id="g0130803"><foreign lang="el">h)\ me\n dh\ ta/xista ta\ toiau=ta, dia/ te to\ <lb/>mikrw=| a(/ptesqai tou= e)pipe/dou, w(/sper o( ku/klos kata\ stigmh/n, <lb/>kai\ dia\ to\ mh\ prosko/ptein: a)fe/sthke ga\r th=s gh=s <lb/>h( gwni/a.</foreign></s> |
| | <s id="g0130804"><foreign lang="el">kai\ e)/ti w(=| a)\n a)panth/sh| sw/mati, pa/lin tou/tou <lb/>kata\ mikro\n a(/ptetai.</foreign></s> |
| | <s id="g0130805"><foreign lang="el">ei) de\ eu)qu/grammon h)=n, th=| eu)qei/a| <lb/>e)pi\ polu\ h(/pteto a)\n tou= e)pipe/dou.</foreign></s></p><p type="main"> |
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| <s id="id.001581">Cur quæ figurarum ro­<lb/>tundæ & circulares exi­<lb/>&longs;tunt, facilius mouentur. <lb/></s> | <s id="id.001581">Cur quæ figurarum ro­<lb/>tundæ & circulares exi­<lb/>&longs;tunt, facilius mouentur. <lb/></s> |
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| <s id="id.001583">vel <lb/>enim &longs;ecundum curuatu­<lb/>ram vnà centro tran&longs;lato, <lb/>qualiter rota plau&longs;tri vol­<lb/>uitur: vel circa centrum <lb/>tantum, quod ip&longs;um quie&longs;­<lb/>cat, vt trochleæ vel in pla­<lb/>no, manente centro, vt fi­<lb/>guli rota vertitur. </s> | <s id="id.001583">vel <lb/>enim &longs;ecundum curuatu­<lb/>ram vnà centro tran&longs;lato, <lb/>qualiter rota plau&longs;tri vol­<lb/>uitur: vel circa centrum <lb/>tantum, quod ip&longs;um quie&longs;­<lb/>cat, vt trochleæ vel in pla­<lb/>no, manente centro, vt fi­<lb/>guli rota vertitur. </s> |
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| <s id="id.001584">An igi­<lb/>tur hæc celerrima fiunt, <lb/>quod parua &longs;ui parte <expan abbr="planũ">planum</expan> <lb/><expan abbr="attingãt">attingant</expan>, vt circulus in <expan abbr="pũ-cto">pun­<lb/>cto</expan>, & quia non offen&longs;ant? <lb/></s> | <s id="id.001584">An igi­<lb/>tur hæc celerrima fiunt, <lb/>quod parua &longs;ui parte <expan abbr="planũ">planum</expan> <lb/><expan abbr="attingãt">attingant</expan>, vt circulus in <expan abbr="pũ­cto">pun­<lb/>cto</expan>, & quia non offen&longs;ant? <lb/></s> |
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| <s id="id.001585">Di&longs;tat enim angulus à terra. <lb/></s> | <s id="id.001585">Di&longs;tat enim angulus à terra. <lb/></s> |
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| <s id="id.001586">Et hoc <expan abbr="etiã">etiam</expan> cui occur&longs;ant, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.139.jpg" pagenum="100"/><foreign lang="greek"><gap/></foreign><lb/>corpus rur&longs;us parum tan­<lb/>gant. </s> | <s id="id.001586">Et hoc <expan abbr="etiã">etiam</expan> cui occur&longs;ant, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.139.jpg" pagenum="100"/>corpus rur&longs;us parum tan­<lb/>gant. </s> |
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| <s id="id.001587">At &longs;i recti lineum e&longs;­<lb/>&longs;et, rectitudine &longs;ua mul­<lb/>tum plani attingeret. </s></p><p type="head"> | <s id="id.001587">At &longs;i recti lineum e&longs;­<lb/>&longs;et, rectitudine &longs;ua mul­<lb/>tum plani attingeret. </s></p><p type="head"> |
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| <s id="id.001630">Atque ea &longs;unt impedimenta, quorum duo &longs;ublatis for­<lb/>tuitis è figurarum &longs;uperficialibus rectilineæ, è &longs;olidis cubo in&longs;unt. <lb/></s> | <s id="id.001630">Atque ea &longs;unt impedimenta, quorum duo &longs;ublatis for­<lb/>tuitis è figurarum &longs;uperficialibus rectilineæ, è &longs;olidis cubo in&longs;unt. <lb/></s> |
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| <s id="id.001631">Sit enim <lb/>ABCD <lb/><figure id="id.035.01.141.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.141.1.jpg"/><lb/><expan abbr="rectili-neũ">rectili­<lb/>neum</expan> pla­<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>& <expan abbr="qui-d&etilde;">qui­<lb/>dem</expan> &longs;i na­<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, & ad rectos in&longs;i&longs;tet rectis A C <lb/>& B D & omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s> | <s id="id.001631">Sit enim <lb/>ABCD <lb/><figure id="id.035.01.141.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.141.1.jpg"/><lb/><expan abbr="rectili­neũ">rectili­<lb/>neum</expan> pla­<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>& <expan abbr="qui­d&etilde;">qui­<lb/>dem</expan> &longs;i na­<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, & ad rectos in&longs;i&longs;tet rectis A C <lb/>& B D & omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s> |
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| <s id="id.001632">Præterea aër vel <lb/>aqua medium occurrens lateri A C, quantum in &longs;e, e&longs;t impedit tot <lb/>punctis, quot &longs;unt in A C. <emph.end type="italics"/></s></p><p type="main"> | <s id="id.001632">Præterea aër vel <lb/>aqua medium occurrens lateri A C, quantum in &longs;e, e&longs;t impedit tot <lb/>punctis, quot &longs;unt in A C. <emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001633"><emph type="italics"/>Sit & cubus A D, planum K L, vna &longs;uperficierum &longs;uarum <lb/>E D attingens, tum habeat rectas A E, C F, B D, H G, ad<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.142.jpg" pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten­<emph.end type="italics"/><lb/><figure id="id.035.01.142.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.142.1.jpg"/><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u­<lb/>per |
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