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| </info> <text> <front> </front> <body> <chap> <pb/><p type="head"> | </info> <text> <front> </front> <body> <chap> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.001.jpg"/><p type="head"> |
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| <s id="id.000001">ARISTOTELIS <lb/>MECHANICA <lb/>Græca, emendata, Latina facta, & <lb/>Commentariis illu&longs;trata. <lb/></s> | <s id="id.000001">ARISTOTELIS <lb/>MECHANICA <lb/>Græca, emendata, Latina facta, & <lb/>Commentariis illu&longs;trata. <lb/></s> |
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| <s id="id.000002">A B <lb/><emph type="italics"/>HENRICO MONANTHOLIO <lb/>Medico, & Mathematicarum artium <lb/>Profe&longs;&longs;ore Regio.<emph.end type="italics"/><lb/>A D <lb/>HENRICVM IIII. GALLIÆ & NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;simum.<!-- KEEP S--></s></p><figure/><p type="head"> | <s id="id.000002">A B <lb/><emph type="italics"/>HENRICO MONANTHOLIO <lb/>Medico, & Mathematicarum artium <lb/>Profe&longs;&longs;ore Regio.<emph.end type="italics"/><lb/>A D <lb/>HENRICVM IIII. GALLIÆ & NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;simum.<!-- KEEP S--></s></p><figure id="id.035.01.001.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.001.1.jpg"/><p type="head"> |
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| <s id="id.000003">PARISIIS, <lb/>Apud <gap/>EMIAM PERIER via Iacobæa, &longs;ub &longs;igno Bellerophontis.</s></p><p type="head"> | <s id="id.000003">PARISIIS, <lb/>Apud <gap/>EMIAM PERIER via Iacobæa, &longs;ub &longs;igno Bellerophontis.</s></p><p type="head"> |
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| <s id="id.000004">M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s></p><pb/><figure/><p type="head"> | <s id="id.000004">M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.002.jpg"/><figure id="id.035.01.002.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.002.1.jpg"/><p type="head"> |
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| <s id="id.000005">HENRICO IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>REGI CHRISTIANISSIMO. <lb/>S. P. D.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000005">HENRICO IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>REGI CHRISTIANISSIMO. <lb/>S. P. D.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000007">Noli, ob&longs;ecrote, ad Mechanicorum ti­<lb/>tulum munus hoc, qua&longs;i minus inge­<lb/>nuum, nec&longs;atis liberaliingenio, 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;ecrote, ad Mechanicorum ti­<lb/>tulum munus hoc, qua&longs;i minus inge­<lb/>nuum, nec&longs;atis liberaliingenio, 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/>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">cuninterrogaretur</expan>, quid ageret Deus, <lb/>re&longs;pondi&longs;&longs;e <foreign lang="greek">a)eigewmebei_n.</foreign> Hoc verbum Lati­<lb/>nè expre&longs;&longs;um &longs;ignificat. </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">cuninterrogaretur</expan>, quid ageret Deus, <lb/>re&longs;pondi&longs;&longs;e <foreign lang="greek">a)eigewmebei_n.</foreign> Hoc verbum Lati­<lb/>nè expre&longs;&longs;um &longs;ignificat. </s> |
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| <s id="id.000009">A&longs;&longs;iduè terram <lb/>metiri. </s> | <s id="id.000009">A&longs;&longs;iduè terram <lb/>metiri. </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)eigewmebei_n</foreign> æ&longs;timetur, <lb/>quode&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="greek">a)eigewmebei_n</foreign> æ&longs;timetur, <lb/>quode&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;iad illud <foreign lang="greek">a)eigew­<lb/>mebei_n</foreign> addi&longs;&longs;et Plato, <foreign lang="greek">kai\ a)eimhxana_<gap/>ai,</foreign> luculen-<pb/>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;iad illud <foreign lang="greek">a)eigew­<lb/>mebei_n</foreign> addi&longs;&longs;et Plato, <foreign lang="greek">kai\ a)eimhxana_<gap/>ai,</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/>huncex 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)eigewmetrei_n kai\ a)eimhxana_<gap/>ai?</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/>huncex 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)eigewmetrei_n kai\ a)eimhxana_<gap/>ai?</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.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="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> |
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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/>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="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> |
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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 iucun di&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> tan quam <lb/>gemmarum pretio&longs;i&longs;&longs;imarum hîc illîc <lb/>in eminentiori, & apparentiori &longs;ui par­<lb/>te collocatorum perenniluce, 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;i^{9} 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 iucun di&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> tan quam <lb/>gemmarum pretio&longs;i&longs;&longs;imarum hîc illîc <lb/>in eminentiori, & apparentiori &longs;ui par­<lb/>te collocatorum perenniluce, 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;i^{9} 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/>mus, potenti&longs;&longs;imus <foreign lang="greek">mhxanao\s,</foreign> & <foreign lang="greek">mhxanepoio\s.</foreign><lb/>Ip&longs;eidem, 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)/rganono)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 resfaceret, vt eas, <lb/>ni&longs;i quotidie fieri, & factas e&longs;&longs;e &longs;æpius <pb/>alij homines &longs;pectarent, omninò fieri <lb/>non po&longs;&longs;e iurarent. </s> | <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">mhxanao\s,</foreign> & <foreign lang="greek">mhxanepoio\s.</foreign><lb/>Ip&longs;eidem, 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)/rganono)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 resfaceret, 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 quæab <lb/>homine <foreign lang="greek">mhxanqpomtikw_|</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/>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 quæab <lb/>homine <foreign lang="greek">mhxanqpomtikw_|</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> |
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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 appellam^{9}. Sed & ex eo fit perquam <lb/>credibile, ad huius magnæ molis archi­<lb/>tecturam <expan abbr="architectũ">architectum</expan> &longs;uum nihil eguï&longs;&longs;e <lb/>ferramentis, vecte, cuneis, trochleis, axe <lb/>in peritrochio, molitione, conatu, quæ <lb/>impius i&longs;te Velleius ex Epicuri &longs;enten­<lb/>tia apud Ciceronem di&longs;putans &longs;tultè re­<lb/>quirebat. </s> | <s id="id.000025">Hic autem quis pote&longs;t e&longs;&longs;e <lb/>alius, præterquam is, quem Deum om­<lb/>nes appellam^{9}. Sed & ex eo fit perquam <lb/>credibile, ad huius magnæ molis archi­<lb/>tecturam <expan abbr="architectũ">architectum</expan> &longs;uum nihil eguï&longs;&longs;e <lb/>ferramentis, vecte, cuneis, trochleis, axe <lb/>in peritrochio, molitione, conatu, quæ <lb/>impius i&longs;te Velleius ex Epicuri &longs;enten­<lb/>tia apud Ciceronem di&longs;putans &longs;tultè re­<lb/>quirebat. </s> |
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| <s id="id.000027">quan­<lb/>quam po&longs;t &longs;emel à &longs;e mundum ex nihilo <lb/>creatum, ille liberrimum &longs;emper, & po­<lb/>tenti&longs;&longs;imum agens, cum his adiunctis, <lb/>& &longs;ine his quando, quotie&longs;que vult, ni­<lb/>hilominus operatur. </s> | <s id="id.000027">quan­<lb/>quam po&longs;t &longs;emel à &longs;e mundum ex nihilo <lb/>creatum, ille liberrimum &longs;emper, & po­<lb/>tenti&longs;&longs;imum agens, cum his adiunctis, <lb/>& &longs;ine his quando, quotie&longs;que vult, ni­<lb/>hilominus operatur. </s> |
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| <s id="id.000028">Quæ &longs;i rectè & ve­<lb/>rè Deo, <expan abbr="quantũ">quantum</expan> fas e&longs;t homini, dicta <lb/>&longs;unt: ecquidiam &longs;upere&longs;t, Rex Chri&longs;tia­<pb/>ni&longs;&longs;ime, quapropter ab hoc munere vt <lb/>vili abhorreas, & ip&longs;e reformidem, licet <lb/>Mechanicorum <expan abbr="titulũ">titulum</expan> in fronti&longs;picio <lb/>gerat, hoc adeò in&longs;igne opus ab Ari­<lb/>&longs;totele profectum, vtile, <expan abbr="iucũdum">iucundum</expan>, &longs;ub­<lb/>tili&longs;&longs;imè tractatum: &longs;ed temporum iniu­<lb/>ria multis mendis fœdum, ob&longs;curum, <lb/>captu difficile, nunc opera no&longs;tra niti­<lb/>dum, clarum, & captu facile &longs;anctæ ma­<lb/>ie&longs;tati tuæ dicare, ac <expan abbr="cõ&longs;ecrare">con&longs;ecrare</expan>? </s> | <s id="id.000028">Quæ &longs;i rectè & ve­<lb/>rè Deo, <expan abbr="quantũ">quantum</expan> fas e&longs;t homini, dicta <lb/>&longs;unt: ecquidiam &longs;upere&longs;t, Rex Chri&longs;tia­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.009.jpg"/>ni&longs;&longs;ime, quapropter ab hoc munere vt <lb/>vili abhorreas, & ip&longs;e reformidem, licet <lb/>Mechanicorum <expan abbr="titulũ">titulum</expan> in fronti&longs;picio <lb/>gerat, hoc adeò in&longs;igne opus ab Ari­<lb/>&longs;totele profectum, vtile, <expan abbr="iucũdum">iucundum</expan>, &longs;ub­<lb/>tili&longs;&longs;imè tractatum: &longs;ed temporum iniu­<lb/>ria multis mendis fœdum, ob&longs;curum, <lb/>captu difficile, nunc opera no&longs;tra niti­<lb/>dum, clarum, & captu facile &longs;anctæ ma­<lb/>ie&longs;tati tuæ dicare, ac <expan abbr="cõ&longs;ecrare">con&longs;ecrare</expan>? </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;untin 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 magno pere delectari, atque <lb/>cos, qui de iis &longs;ubtiliter, & ingeniose tra­<lb/>ctarint, libros oblatos non grati&longs;&longs;imè <pb/>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;untin 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 magno pere delectari, atque <lb/>cos, 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">Tunam que 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">kolo<gap/>ikw/ta<gap/>on,</foreign> graui&longs;&longs;imum certè, & num­<lb/>quam &longs;i fieri po&longs;&longs;et, commouendum: <lb/>vbi, vbitamen 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/>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">Tunam que 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">kolo<gap/>ikw/ta<gap/>on,</foreign> graui&longs;&longs;imum certè, & num­<lb/>quam &longs;i fieri po&longs;&longs;et, commouendum: <lb/>vbi, vbitamen 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.000038">Ad concordiam inter &longs;e, & tecum &longs;er­<lb/>uandam: ad beneuolentiam ergate præ­<lb/>&longs;tandam, obedientiam, fidelitatem rede<gap/><lb/>gi&longs;ti. </s> | <s id="id.000038">Ad concordiam inter &longs;e, & tecum &longs;er­<lb/>uandam: ad beneuolentiam ergate præ­<lb/>&longs;tandam, obedientiam, fidelitatem rede<gap/><lb/>gi&longs;ti. </s> |
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| <s id="id.000039">Extraneos verò longo bello: bre-<pb/>uioritamen, quam &longs;perare, aut promit­<lb/>tere nobis au&longs;i fuerimus, fractos, &longs;æpe <lb/>Marte aperto, & manibus <expan abbr="vtrinq;">vtrinque</expan> con­<lb/>&longs;ertis victos, fugatos, tandem procul <lb/>ab omnibus Galliæ finibus reieci&longs;ti: & <lb/>quan quam anteà &longs;emperab omni pacis <lb/>conditione alieni&longs;&longs;imos, vt pacem ip&longs;i <lb/>appeterent, & peterent coëgi&longs;ti. </s> | <s id="id.000039">Extraneos verò longo bello: bre-<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.012.jpg"/>uioritamen, quam &longs;perare, aut promit­<lb/>tere nobis au&longs;i fuerimus, fractos, &longs;æpe <lb/>Marte aperto, & manibus <expan abbr="vtrinq;">vtrinque</expan> con­<lb/>&longs;ertis victos, fugatos, tandem procul <lb/>ab omnibus Galliæ finibus reieci&longs;ti: & <lb/>quan quam anteà &longs;emperab omni pacis <lb/>conditione alieni&longs;&longs;imos, vt pacem ip&longs;i <lb/>appeterent, & peterent coëgi&longs;ti. </s> |
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| <s id="id.000040">Quid <lb/>tuilico? </s> | <s id="id.000040">Quid <lb/>tuilico? </s> |
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| <s id="id.000041">Quandoquidem pax victo &longs;em­<lb/>per &longs;it nece&longs;&longs;aria, & victoriea, 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 perfectare <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, & victoriea, 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 perfectare <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 etuo &longs;anctiore con&longs;ilio de­<lb/>lectis con&longs;iliariis tibi, id e&longs;t patriæ <pb/>&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 perte 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/>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 etuo &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 perte 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">quantunuis</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">memoriarreducimus</expan>, <pb/>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">quantunuis</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">memoriarreducimus</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.000045">quidve inele­<lb/>gans facimus? </s> | <s id="id.000045">quidve inele­<lb/>gans facimus? </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;imiardore, 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;imiardore, 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">colophom</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/>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="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">colophom</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">nommediocrem</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, aliquandoe&longs;&longs;e cogitatu­<lb/>rum, & perfecturum. </s> | <s id="id.000049">Spemque adferunt <lb/><expan abbr="nõmediocrem">nommediocrem</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, aliquandoe&longs;&longs;e cogitatu­<lb/>rum, & perfecturum. </s> |
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| <s id="id.000050">Hæc igitur mihi <lb/><expan abbr="per&longs;ua&longs;erũt">per&longs;ua&longs;erunt</expan>, ne quicquam vererer opus <lb/>hoc, ratione opellæ <expan abbr="quali&longs;cunq;">quali&longs;cunque</expan> no&longs;træ, <lb/>exiguum &longs;cio: &longs;ed ratione authoris &longs;ui, <lb/>Ari&longs;totelis, magnum, &longs;anctæ maie&longs;tati <lb/>tuæ co&longs;ecrare. </s> | <s id="id.000050">Hæc igitur mihi <lb/><expan abbr="per&longs;ua&longs;erũt">per&longs;ua&longs;erunt</expan>, ne quicquam vererer opus <lb/>hoc, ratione opellæ <expan abbr="quali&longs;cunq;">quali&longs;cunque</expan> no&longs;træ, <lb/>exiguum &longs;cio: &longs;ed ratione authoris &longs;ui, <lb/>Ari&longs;totelis, magnum, &longs;anctæ maie&longs;tati <lb/>tuæ co&longs;ecrare. </s> |
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| <s id="id.000051">Quod <expan abbr="nũc">nunc</expan> igitur tam lu­<lb/>benter facio: quam Deum <expan abbr="optimũ">optimum</expan> ma­<lb/>ximum obnixè precor, vt vitam tibi <lb/>impertiat, in duas annorum quadrage­<lb/>narias ita partitam vt &longs;ecundam, quam <pb/>belli reliquiis, & pace in ea confectis fœ­<lb/>liciter ingre&longs;&longs;us es, tot rebus pacis tam <lb/>magnificis, & glorio&longs;is adhuc aggre­<lb/>diundis, & perficiundis con&longs;umas: quot <lb/>in rebus belli admirabilibus, atque in­<lb/>credibilibus perfectis primam con&longs;um­<lb/>p&longs;i&longs;ti. </s> | <s id="id.000051">Quod <expan abbr="nũc">nunc</expan> igitur tam lu­<lb/>benter facio: quam Deum <expan abbr="optimũ">optimum</expan> ma­<lb/>ximum obnixè precor, vt vitam tibi <lb/>impertiat, in duas annorum quadrage­<lb/>narias ita partitam vt &longs;ecundam, quam <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.017.jpg"/>belli reliquiis, & pace in ea confectis fœ­<lb/>liciter ingre&longs;&longs;us es, tot rebus pacis tam <lb/>magnificis, & glorio&longs;is adhuc aggre­<lb/>diundis, & perficiundis con&longs;umas: quot <lb/>in rebus belli admirabilibus, atque in­<lb/>credibilibus perfectis primam con&longs;um­<lb/>p&longs;i&longs;ti. </s> |
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| <s id="id.000052">Hoc, &longs;i tibi, Deo ita volente, eue­<lb/>niat, haud profectò verendum erit di­<lb/>cere, & palam, quod omnium hi&longs;toriæ <lb/>conte&longs;tabuntur, proclamare, te <expan abbr="rerũ">rerum</expan> ad­<lb/>mirabili&longs;&longs;imarum regem, & regum, qui <lb/>hactenus in quacunque orbis regione <lb/>regnauere, fore præ&longs;tanti&longs;&longs;imum, & ad­<lb/>mirabili&longs;&longs;imum. </s> | <s id="id.000052">Hoc, &longs;i tibi, Deo ita volente, eue­<lb/>niat, haud profectò verendum erit di­<lb/>cere, & palam, quod omnium hi&longs;toriæ <lb/>conte&longs;tabuntur, proclamare, te <expan abbr="rerũ">rerum</expan> ad­<lb/>mirabili&longs;&longs;imarum regem, & regum, qui <lb/>hactenus in quacunque orbis regione <lb/>regnauere, fore præ&longs;tanti&longs;&longs;imum, & ad­<lb/>mirabili&longs;&longs;imum. </s> |
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| <s id="id.000056">Humillimus &longs;eruus</s></p><p type="main"> | <s id="id.000056">Humillimus &longs;eruus</s></p><p type="main"> |
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| <s id="id.000057">HENRICVS MONANTHOLIVS.</s></p><pb/><p type="head"> | <s id="id.000057">HENRICVS MONANTHOLIVS.</s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.018.jpg"/><p type="head"> |
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| <s id="id.000058">A D <lb/>HENRICVM IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;&longs;imum.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000058">A D <lb/>HENRICVM IIII. <lb/>GALLIÆ ET NAVARRÆ <lb/>Regem Chri&longs;tiani&longs;&longs;imum.<!-- KEEP S--></s></p><p type="main"> |
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| </p><pb/><figure/><p type="head"> | </p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.019.jpg"/><figure id="id.035.01.019.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.019.1.jpg"/><p type="head"> |
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| <s id="id.000077">PRAEFATIO IN <lb/>MECHANICA ARISTO­<lb/>TELIS, AD LECTOREM.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000077">PRAEFATIO IN <lb/>MECHANICA ARISTO­<lb/>TELIS, AD LECTOREM.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000084">Pythagoram, Hippocra­<lb/>tem medicum, Platonem, Ari&longs;totelem, Theophra&longs;tum, <lb/>Galenum &longs;i non omnia tenui&longs;&longs;e: quamplurima certè & <lb/>aliorum libri, & commentarij ab illis po&longs;teritati relicti <lb/>copiosè loquuntur. </s> | <s id="id.000084">Pythagoram, Hippocra­<lb/>tem medicum, Platonem, Ari&longs;totelem, Theophra&longs;tum, <lb/>Galenum &longs;i non omnia tenui&longs;&longs;e: quamplurima certè & <lb/>aliorum libri, & commentarij ab illis po&longs;teritati relicti <lb/>copiosè loquuntur. </s> |
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| <s id="id.000085">Sed quibus non ita magnus vel fuit, <pb/>vel e&longs;t animus, illi vel propen&longs;ione naturali, vel iudicio, <lb/>vel ca&longs;u aliquo de multis nonnulla &longs;eligunt, in quibus <lb/>tempus & operam non &longs;ine v&longs;ura collocent &longs;uam. </s> | <s id="id.000085">Sed quibus non ita magnus vel fuit, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.020.jpg"/>vel e&longs;t animus, illi vel propen&longs;ione naturali, vel iudicio, <lb/>vel ca&longs;u aliquo de multis nonnulla &longs;eligunt, in quibus <lb/>tempus & operam non &longs;ine v&longs;ura collocent &longs;uam. </s> |
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| <s id="id.000086">Om­<lb/>nium, quæ &longs;unt, genera quatuor e&longs;&longs;e reperio, &longs;ingula cer­<lb/>tè digni&longs;&longs;ima hominis contemplatione. </s> | <s id="id.000086">Om­<lb/>nium, quæ &longs;unt, genera quatuor e&longs;&longs;e reperio, &longs;ingula cer­<lb/>tè digni&longs;&longs;ima hominis contemplatione. </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;o la 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;o la 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/>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 fueritiudica­<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 fueritiudica­<lb/>tus. </s> |
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| <s id="id.000096">Ego <expan abbr="quoq;">quoque</expan> <expan abbr="potenti&longs;&longs;imũ">potenti&longs;&longs;imum</expan> <expan abbr="ead&etilde;">eadem</expan> de cau&longs;a <expan abbr="iudic&etilde;">iudicem</expan>. </s> | <s id="id.000096">Ego <expan abbr="quoq;">quoque</expan> <expan abbr="potenti&longs;&longs;imũ">potenti&longs;&longs;imum</expan> <expan abbr="ead&etilde;">eadem</expan> de cau&longs;a <expan abbr="iudic&etilde;">iudicem</expan>. </s> |
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| <s id="id.000111"><emph type="italics"/>Percurrit proprium mentitus &longs;ignifer annum, <lb/>Et &longs;imulata nouo Cynthia men&longs;e redit.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000111"><emph type="italics"/>Percurrit proprium mentitus &longs;ignifer annum, <lb/>Et &longs;imulata nouo Cynthia men&longs;e redit.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000112"><emph type="italics"/>Iamque &longs;uum voluens audax indu&longs;tria mundum<emph.end type="italics"/><pb/><emph type="italics"/>Gauder, & humana &longs;idera mente regit.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000112"><emph type="italics"/>Iamque &longs;uum voluens audax indu&longs;tria mundum<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.022.jpg"/><emph type="italics"/>Gauder, & humana &longs;idera mente regit.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000113"><emph type="italics"/>Quid &longs;al&longs;o in&longs;ontem tonitru Salmonea miror? <lb/></s> | <s id="id.000113"><emph type="italics"/>Quid &longs;al&longs;o in&longs;ontem tonitru Salmonea miror? <lb/></s> |
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| <s id="id.000122">quales fuerunt icunculæ illæ <lb/>ad <expan abbr="cantũ">cantum</expan> cytharæ &longs;altitantes, manus manibus iungentes, <lb/>in equos, in currus con&longs;cendentes, modò rur&longs;us <expan abbr="curr&etilde;tes">currentes</expan>, <lb/>modo re&longs;titantes. </s> | <s id="id.000122">quales fuerunt icunculæ illæ <lb/>ad <expan abbr="cantũ">cantum</expan> cytharæ &longs;altitantes, manus manibus iungentes, <lb/>in equos, in currus con&longs;cendentes, modò rur&longs;us <expan abbr="curr&etilde;tes">currentes</expan>, <lb/>modo re&longs;titantes. </s> |
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| <s id="id.000123">Tum ca&longs;tellum illud mirabile, in quo <lb/><expan abbr="fabrorũ">fabrorum</expan> genus omne &longs;uum munus affabrè, nec o&longs;citanter <pb/>exercebat, quod hîc Lutetiæ vidimus. </s> | <s id="id.000123">Tum ca&longs;tellum illud mirabile, in quo <lb/><expan abbr="fabrorũ">fabrorum</expan> genus omne &longs;uum munus affabrè, nec o&longs;citanter <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.023.jpg"/>exercebat, quod hîc Lutetiæ vidimus. </s> |
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| <s id="id.000124">Vt & Noribergæ <lb/>mu&longs;ca ferrea <expan abbr="cõmemoratur">commemoratur</expan> è manu artificis &longs;ui cuola&longs;&longs;e, <lb/>& conuiuas circumuolita&longs;&longs;e, <expan abbr="tandemq;">tandemque</expan> veluti defe&longs;&longs;a in <lb/>&longs;ui domini manum redij&longs;&longs;e: tum aquila illa, quæ in aëre <lb/>&longs;ublimis Carolo imperatori huius nominis quinto ad vr­<lb/>bem aduentanti obuia facta, <expan abbr="v&longs;q;">v&longs;que</expan> ad vrbis <expan abbr="portã">portam</expan> cundem <lb/>comitata e&longs;t, ne fabulam exi&longs;timemus quod de columba <lb/>Architæ <expan abbr="volãte">volante</expan> à veteribus <expan abbr="cõmemoratum">commemoratum</expan> e&longs;t: <expan abbr="neq;">neque</expan> illud <lb/>quod fertur de Dædaleis operibus, & Vulcani tripodi­<lb/>bus, pectinibus, malleis, qui iniu&longs;&longs;i ad opus &longs;ponte &longs;ua ve­<lb/>niebant, & ni&longs;i vinculis coercerentur, aufugiebant. </s> | <s id="id.000124">Vt & Noribergæ <lb/>mu&longs;ca ferrea <expan abbr="cõmemoratur">commemoratur</expan> è manu artificis &longs;ui cuola&longs;&longs;e, <lb/>& conuiuas circumuolita&longs;&longs;e, <expan abbr="tandemq;">tandemque</expan> veluti defe&longs;&longs;a in <lb/>&longs;ui domini manum redij&longs;&longs;e: tum aquila illa, quæ in aëre <lb/>&longs;ublimis Carolo imperatori huius nominis quinto ad vr­<lb/>bem aduentanti obuia facta, <expan abbr="v&longs;q;">v&longs;que</expan> ad vrbis <expan abbr="portã">portam</expan> cundem <lb/>comitata e&longs;t, ne fabulam exi&longs;timemus quod de columba <lb/>Architæ <expan abbr="volãte">volante</expan> à veteribus <expan abbr="cõmemoratum">commemoratum</expan> e&longs;t: <expan abbr="neq;">neque</expan> illud <lb/>quod fertur de Dædaleis operibus, & Vulcani tripodi­<lb/>bus, pectinibus, malleis, qui iniu&longs;&longs;i ad opus &longs;ponte &longs;ua ve­<lb/>niebant, & ni&longs;i vinculis coercerentur, aufugiebant. </s> |
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| <s id="id.000132">Trutinarum <lb/>librarumque examinatio reperta, inquit Vitruuius, vin­<lb/>dicat ab iniquitate iu&longs;tis moribus <expan abbr="vitã">vitam</expan>. </s> | <s id="id.000132">Trutinarum <lb/>librarumque examinatio reperta, inquit Vitruuius, vin­<lb/>dicat ab iniquitate iu&longs;tis moribus <expan abbr="vitã">vitam</expan>. </s> |
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| <s id="id.000133">Vnde &longs;tatera do­<lb/>lo&longs;a abhominatio e&longs;t apud Deum, dixit <expan abbr="&longs;api&etilde;s">&longs;apiens</expan>, & pondus <pb/>æquum voluntas eius, & alibi abhominatio e&longs;t apud Deum <lb/>pondus & pondus. </s> | <s id="id.000133">Vnde &longs;tatera do­<lb/>lo&longs;a abhominatio e&longs;t apud Deum, dixit <expan abbr="&longs;api&etilde;s">&longs;apiens</expan>, & pondus <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.024.jpg"/>æquum voluntas eius, & alibi abhominatio e&longs;t apud Deum <lb/>pondus & pondus. </s> |
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| <s id="id.000134">Itaque libræ inucntrix A &longs;træa pro dea <lb/>lu&longs;tici&ecedil; culta e&longs;t. </s> | <s id="id.000134">Itaque libræ inucntrix A &longs;træa pro dea <lb/>lu&longs;tici&ecedil; culta e&longs;t. </s> |
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| <s id="id.000147"><expan abbr="aquã">aquam</expan> pro pondere loco dimouens? <lb/></s> | <s id="id.000147"><expan abbr="aquã">aquam</expan> pro pondere loco dimouens? <lb/></s> |
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| <s id="id.000148">vt in eum cedat nauis, & quidem impul&longs;us ille à remige pro <pb/>vectiatio tanquam tridens à Neptuno? </s> | <s id="id.000148">vt in eum cedat nauis, & quidem impul&longs;us ille à remige pro <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.025.jpg"/>vectiatio tanquam tridens à Neptuno? </s> |
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| <s id="id.000149">Quin & guberna­<lb/>calum, quo gubernator in puppi <expan abbr="&longs;ed&etilde;s">&longs;edens</expan> tam facilè obliquat <lb/>nauim etiam ingentem, & cum magna in prora loci muta­<lb/>tione, licet in puppi adeò exigua, vt nihil agere, aut <expan abbr="etiã">etiam</expan> lu­<lb/>dere videatur: aliud <expan abbr="tam&etilde;">tamen</expan> nihil, quam vectis e&longs;&longs;e <expan abbr="cõperietur">comperietur</expan>. <lb/></s> | <s id="id.000149">Quin & guberna­<lb/>calum, quo gubernator in puppi <expan abbr="&longs;ed&etilde;s">&longs;edens</expan> tam facilè obliquat <lb/>nauim etiam ingentem, & cum magna in prora loci muta­<lb/>tione, licet in puppi adeò exigua, vt nihil agere, aut <expan abbr="etiã">etiam</expan> lu­<lb/>dere videatur: aliud <expan abbr="tam&etilde;">tamen</expan> nihil, quam vectis e&longs;&longs;e <expan abbr="cõperietur">comperietur</expan>. <lb/></s> |
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| <s id="id.000159">quod in vectc, trochlea, & axe in peritro­<lb/>chio nuper à Guidone Vbaldo demon&longs;trationibus geome­<lb/>tricis habemus confirmatum. </s> | <s id="id.000159">quod in vectc, trochlea, & axe in peritro­<lb/>chio nuper à Guidone Vbaldo demon&longs;trationibus geome­<lb/>tricis habemus confirmatum. </s> |
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| <s id="id.000160">Vectis &longs;olus pondera de loco <pb/>propellit &longs;uo, trochlea euellit, & eadem ad alti&longs;&longs;imas ædi­<lb/>ficiorum vbi opus e&longs;t &longs;edes trahit. </s> | <s id="id.000160">Vectis &longs;olus pondera de loco <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.026.jpg"/>propellit &longs;uo, trochlea euellit, & eadem ad alti&longs;&longs;imas ædi­<lb/>ficiorum vbi opus e&longs;t &longs;edes trahit. </s> |
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| <s id="id.000161">Sit in polo horizontis qui <lb/>trochleæ appendiculum firmet, & ad eum homo ip&longs;e &longs;e &longs;u­<lb/>bleuabit. </s> | <s id="id.000161">Sit in polo horizontis qui <lb/>trochleæ appendiculum firmet, & ad eum homo ip&longs;e &longs;e &longs;u­<lb/>bleuabit. </s> |
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| <s id="id.000180">Hoc <expan abbr="cũ">cum</expan> malleo lignator in&longs;tructus, <lb/>&longs;yluam breuiori tempore integram diui&longs;erit: quam &longs;ine ijs <lb/>arboris vnius vnum truncum. </s> | <s id="id.000180">Hoc <expan abbr="cũ">cum</expan> malleo lignator in&longs;tructus, <lb/>&longs;yluam breuiori tempore integram diui&longs;erit: quam &longs;ine ijs <lb/>arboris vnius vnum truncum. </s> |
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| <s id="id.000181">Milo Crotoniates Athleta <lb/>ille ro bu&longs;ti&longs;&longs;imus fertur cum arborem bifurcatam proprijs <lb/>viribus diuellere contenderet, & diuelli in cœptam retinere <lb/>non po&longs;&longs;et, quin partes diuul&longs;æ &longs;umma celeritate in &longs;e&longs;e re­<lb/>dirent, vnâque raptas manus interciperent, præda vt im­<pb/>bellis ouis fui&longs;&longs;e lupis. </s> | <s id="id.000181">Milo Crotoniates Athleta <lb/>ille ro bu&longs;ti&longs;&longs;imus fertur cum arborem bifurcatam proprijs <lb/>viribus diuellere contenderet, & diuelli in cœptam retinere <lb/>non po&longs;&longs;et, quin partes diuul&longs;æ &longs;umma celeritate in &longs;e&longs;e re­<lb/>dirent, vnâque raptas manus interciperent, præda vt im­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.027.jpg"/>bellis ouis fui&longs;&longs;e lupis. </s> |
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| <s id="id.000182">Itaque proprijs,</s></p><p type="main"> | <s id="id.000182">Itaque proprijs,</s></p><p type="main"> |
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| <s id="id.000199">Et habui&longs;­<lb/>&longs;et tantò impetu cœpta res fortunam, ni&longs;i vnus homo Syra­<lb/>cu&longs;is ea <expan abbr="t&etilde;pe&longs;tate">tempe&longs;tate</expan> fui&longs;&longs;et Archimedes. <!-- KEEP S--></s> | <s id="id.000199">Et habui&longs;­<lb/>&longs;et tantò impetu cœpta res fortunam, ni&longs;i vnus homo Syra­<lb/>cu&longs;is ea <expan abbr="t&etilde;pe&longs;tate">tempe&longs;tate</expan> fui&longs;&longs;et Archimedes. <!-- KEEP S--></s> |
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| <s id="id.000200">Is erat vnicus &longs;pecta­<lb/>tor cœli &longs;iderum que: mirabilior tamen inuentor ac machi­<lb/>nator bellicorum <expan abbr="torm&etilde;torum">tormentorum</expan>, operumque: quibus ea quæ <lb/>ho&longs;tes ingenti mole agerent ip&longs;e perleui momento ludi&longs;i-<pb/>caretur. </s> | <s id="id.000200">Is erat vnicus &longs;pecta­<lb/>tor cœli &longs;iderum que: mirabilior tamen inuentor ac machi­<lb/>nator bellicorum <expan abbr="torm&etilde;torum">tormentorum</expan>, operumque: quibus ea quæ <lb/>ho&longs;tes ingenti mole agerent ip&longs;e perleui momento ludi&longs;i-<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.028.jpg"/>caretur. </s> |
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| <s id="id.000201">Murum per in&ecedil;quales ductum colles, pleraque alta <lb/>& difficilia aditu, &longs;ummi&longs;&longs;a quædam, & quæ planis vallibus <lb/>adiri po&longs;&longs;ent, vt cuique aptum vi&longs;um e&longs;t loco, ita omni ge­<lb/>nere tormento rum in&longs;truxit. </s> | <s id="id.000201">Murum per in&ecedil;quales ductum colles, pleraque alta <lb/>& difficilia aditu, &longs;ummi&longs;&longs;a quædam, & quæ planis vallibus <lb/>adiri po&longs;&longs;ent, vt cuique aptum vi&longs;um e&longs;t loco, ita omni ge­<lb/>nere tormento rum in&longs;truxit. </s> |
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| 4. decad. </s> | 4. decad. </s> |
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| <s id="id.000216">3. Vilium igitur, &longs;ordidorum que ho­<lb/>minum ne dixerimus ea e&longs;&longs;e in&longs;trumenta, quæ vel à dijs, vel <pb/>à nobili&longs;&longs;imis hominibus inuenta, & v&longs;urpata &longs;unt, & nunc <lb/>ad v&longs;us humanos perquam nece&longs;&longs;aria hone&longs;ti&longs;&longs;imum quæ­<lb/>&longs;tum, & qualem agricultura dominis agricolis &longs;uppeditant. <lb/></s> | <s id="id.000216">3. Vilium igitur, &longs;ordidorum que ho­<lb/>minum ne dixerimus ea e&longs;&longs;e in&longs;trumenta, quæ vel à dijs, vel <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.029.jpg"/>à nobili&longs;&longs;imis hominibus inuenta, & v&longs;urpata &longs;unt, & nunc <lb/>ad v&longs;us humanos perquam nece&longs;&longs;aria hone&longs;ti&longs;&longs;imum quæ­<lb/>&longs;tum, & qualem agricultura dominis agricolis &longs;uppeditant. <lb/></s> |
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| <s id="id.000217">Quanquam non co animo à nobis hæc dicuntur, vt ad eas <lb/>artes, quarum &longs;unt in&longs;trumenta, ve&longs;tras animi, corpori&longs;que <lb/>vires &longs;uadeam conferatis: vos dico,</s></p><p type="main"> | <s id="id.000217">Quanquam non co animo à nobis hæc dicuntur, vt ad eas <lb/>artes, quarum &longs;unt in&longs;trumenta, ve&longs;tras animi, corpori&longs;que <lb/>vires &longs;uadeam conferatis: vos dico,</s></p><p type="main"> |
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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 pue<gap/>iliter irrideat, quod regius mathem aticarum ar­<lb/>tium profe&longs;&longs;or in rebus, vt putabit, vili&longs;&longs;imis philo&longs;ophari, <lb/>& <foreign lang="greek">g<gap/>wmebu_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 pue<gap/>iliter irrideat, quod regius mathem aticarum ar­<lb/>tium profe&longs;&longs;or in rebus, vt putabit, vili&longs;&longs;imis philo&longs;ophari, <lb/>& <foreign lang="greek">g<gap/>wmebu_n</foreign> contenderit. </s> |
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| <s id="id.000226">Huic re&longs;pondebimus, quod ali­<lb/>quando Hera clitum dixi&longs;&longs;c ferunt ijs, qui cum alioqui evm <lb/>vellent, quod forte in ca&longs;a furnatia caloris gratia &longs;edentem <lb/>vid<gap/>&longs;&longs;ent, accedere temperarunt, & ingredi fidenter cum <pb/>iu&longs;&longs;i&longs;&longs;et. </s> | <s id="id.000226">Huic re&longs;pondebimus, quod ali­<lb/>quando Hera clitum dixi&longs;&longs;c ferunt ijs, qui cum alioqui evm <lb/>vellent, quod forte in ca&longs;a furnatia caloris gratia &longs;edentem <lb/>vid<gap/>&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 recentio ribus 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 recentio ribus 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.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, can dide 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, can dide 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.000230">Vale.<!-- KEEP S--></s></p><pb/><p type="head"> | <s id="id.000230">Vale.<!-- KEEP S--></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.031.jpg"/><p type="head"> |
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| <s id="id.000231"><emph type="italics"/>Extraict du Priuilege du Roy.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.000231"><emph type="italics"/>Extraict du Priuilege du Roy.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000235"><emph type="italics"/>Signé par le Con&longs;eil<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.000235"><emph type="italics"/>Signé par le Con&longs;eil<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000236"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.<!-- KEEP S--></s></p><pb/><p type="head"> | <s id="id.000236"><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.<!-- KEEP S--></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.032.jpg"/><p type="head"> |
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| <s id="id.000237">INDEX MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs.<lb/><arrow.to.target n="table1"/><!-- KEEP S--></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">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia 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 opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione 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 ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/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 angubus æqualitatis, ideóque quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omniaæ <expan abbr="quit&longs;cũt">quit&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 medÿ 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"/>Archelairegis factum in edip&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"/>Architectureæ 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 plenæ.<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">*au<gap/>/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/><row><cell><emph type="italics"/>Bouilli error, qui put abat rectam iuuen-tam equalem 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 pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<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/<gap/>ar</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)ntixeir,</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/><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;orÿ &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 proÿcit, 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 Lhullerÿ 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/><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">magni&longs;icum</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="põderil^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligneũ">ligneum</expan> facili^{9} 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="fcrũ-tur">fcrun-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> graui^{9} 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">pa<gap/>adosopcioi\.</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/><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"/>Nauigÿ 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;c^{9} 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/g<gap/>a *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">*ou<gap/>ano/suopcs</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/><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 peripherÿs 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"/>Phalangarÿ tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangÿ 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">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>& canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, & p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</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/><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">*e*h/mwma</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">*etata</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">*qanmatou<gap/>gim*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/><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">*zugosa/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 MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>& eorum Commentarijs.<lb/><arrow.to.target n="table1"/><!-- KEEP S--></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">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia 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 opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione 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 ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/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 angubus æqualitatis, ideóque quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omniaæ <expan abbr="quit&longs;cũt">quit&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 medÿ 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"/>Archelairegis factum in edip&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"/>Architectureæ 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 plenæ.<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">*au<gap/>/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 put abat rectam iuuen-tam equalem 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 pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<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/<gap/>ar</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)ntixeir,</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;orÿ &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 proÿcit, 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 Lhullerÿ 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">magni&longs;icum</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="põderil^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligneũ">ligneum</expan> facili^{9} 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="fcrũ-tur">fcrun-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> graui^{9} 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">pa<gap/>adosopcioi\.</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"/>Nauigÿ 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;c^{9} 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/g<gap/>a *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">*ou<gap/>ano/suopcs</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 peripherÿs 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"/>Phalangarÿ tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangÿ 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">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>& canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, & p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</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">*e*h/mwma</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">*etata</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">*qanmatou<gap/>gim*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">*zugosa/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.<!-- KEEP S--></s></p><pb pagenum="1"/><figure/><p type="head"> | <s id="id.000238">FINIS.<!-- KEEP S--></s></p><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 type="head"> |
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| <s id="id.000239"><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u<gap/></foreign><lb/>MHX ANIKA. <lb/>ARISTOTELIS <lb/>MECHANICA.</s></p><p type="main"> | <s id="id.000239"><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u<gap/></foreign><lb/>MHX ANIKA. <lb/>ARISTOTELIS <lb/>MECHANICA.</s></p><p type="main"> |
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| <s id="id.000248">Franci&longs;cus Patri-<emph.end type="italics"/><lb/><arrow.to.target n="marg3"/><lb/><emph type="italics"/>cius vbi in omnes Ari&longs;totelis libros diligenter in­<lb/>quirit, ab eorum numero exclu&longs;it, cau&longs;am tamen attulit nullam, ni&longs;i <lb/>quod multi libri magnorum virorum nomine circumferantur, quo­<lb/>rum ip&longs;i authores non &longs;unt. </s> | <s id="id.000248">Franci&longs;cus Patri-<emph.end type="italics"/><lb/><arrow.to.target n="marg3"/><lb/><emph type="italics"/>cius vbi in omnes Ari&longs;totelis libros diligenter in­<lb/>quirit, ab eorum numero exclu&longs;it, cau&longs;am tamen attulit nullam, ni&longs;i <lb/>quod multi libri magnorum virorum nomine circumferantur, quo­<lb/>rum ip&longs;i authores non &longs;unt. </s> |
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| <s id="id.000249">quod licet verum e&longs;&longs;e multis rationibus,<emph.end type="italics"/><pb pagenum="2"/><emph type="italics"/>testimoniis, & exemplis coufirmarit: ob id tamen hunc Ari&longs;toteli <lb/>detrahendum e&longs;&longs;e, non e&longs;t nece&longs;&longs;e. </s> | <s id="id.000249">quod licet verum e&longs;&longs;e multis rationibus,<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.041.jpg" pagenum="2"/><emph type="italics"/>testimoniis, & exemplis coufirmarit: ob id tamen hunc Ari&longs;toteli <lb/>detrahendum e&longs;&longs;e, non e&longs;t nece&longs;&longs;e. </s> |
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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.000269">At quæ<gap/> umque, cluenda e&longs;t macula. </s> | <s id="id.000269">At quæ<gap/> umque, cluenda e&longs;t macula. </s> |
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| <s id="id.000270">Manauit enim à<emph.end type="italics"/><pb 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 ornduere, quæ in &longs;ola con­<lb/>templatione ver&longs;arentur, & contemplantis duntaxat ingenium <lb/>acuerent, atque perficerent: viles autem eas putduere, 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 ornduere, quæ in &longs;ola con­<lb/>templatione ver&longs;arentur, & contemplantis duntaxat ingenium <lb/>acuerent, atque perficerent: viles autem eas putduere, quæ ocium fu­<lb/>gientes, in negotio atque efficientia occuparentur. </s> |
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| <s id="id.000271">At ÿ 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)neleuqirous <gap/>anow/oous a)<gap/>ai/ous</foreign> <emph type="italics"/>viles, illiberales, <lb/>&longs;ordidas, circunforaneas. </s> | <s id="id.000271">At ÿ 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)neleuqirous <gap/>anow/oous a)<gap/>ai/ous</foreign> <emph type="italics"/>viles, illiberales, <lb/>&longs;ordidas, circunforaneas. </s> |
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| <s id="id.000280">In quarum &longs;ingulis aliæ &longs;unt im­<lb/>perantes, quæ & architectonicæ dicuntur: aliæ mini&longs;trantes. </s> | <s id="id.000280">In quarum &longs;ingulis aliæ &longs;unt im­<lb/>perantes, quæ & architectonicæ dicuntur: aliæ mini&longs;trantes. </s> |
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| <s id="id.000281">Impe­<lb/>rantes, habere debent præuias illas &longs;eptem liberales ante dictas, vt <lb/>videre e&longs;t apud Vitruuium de &longs;uo architecto, & in no&longs;tro com­<lb/>mentario Iuri&longs;iurandi Hipp. <!-- REMOVE S-->de Hippocrateo medico: apud <expan abbr="Virgiliũ">Virgilium</expan> <lb/>de &longs;uo agricola: apud Vegetium de &longs;uo imperatore, & eadem ratione <lb/>in reliquis: ita vt, qui imperantibus i&longs;tis artibus præditi fuerint, in­<lb/>ter homines præ&longs;tantißimi habiti &longs;emper &longs;int, & &longs;emper haberi <lb/>debeant, quanquam aliarum opera aliis aut nece&longs;&longs;aria magis, aut<emph.end type="italics"/><pb pagenum="4"/><emph type="italics"/>præ&longs;tantiora, aut vtiliora, aut certiora exi&longs;tant. </s> | <s id="id.000281">Impe­<lb/>rantes, habere debent præuias illas &longs;eptem liberales ante dictas, vt <lb/>videre e&longs;t apud Vitruuium de &longs;uo architecto, & in no&longs;tro com­<lb/>mentario Iuri&longs;iurandi Hipp. <!-- REMOVE S-->de Hippocrateo medico: apud <expan abbr="Virgiliũ">Virgilium</expan> <lb/>de &longs;uo agricola: apud Vegetium de &longs;uo imperatore, & eadem ratione <lb/>in reliquis: ita vt, qui imperantibus i&longs;tis artibus præditi fuerint, in­<lb/>ter homines præ&longs;tantißimi habiti &longs;emper &longs;int, & &longs;emper haberi <lb/>debeant, quanquam aliarum opera aliis aut nece&longs;&longs;aria magis, aut<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.043.jpg" pagenum="4"/><emph type="italics"/>præ&longs;tantiora, aut vtiliora, aut certiora exi&longs;tant. </s> |
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| <s id="id.000293">&longs;ic igitur erit clarior. </s> | <s id="id.000293">&longs;ic igitur erit clarior. </s> |
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| <s id="id.000294">Quemadmodum in re­<lb/>bus naturalibus miræ &longs;unt illæ, quarum cau&longs;a ignoratur: ita & in <lb/>his, quæ præter naturam arte factæ hominibus conferunt, &longs;i & ea­<lb/>rum cau&longs;a lateat, vbi notandum admirationem e&longs;&longs;e animi in rem<emph.end type="italics"/><pb pagenum="5"/><emph type="italics"/>propo&longs;itam intuitionem cum cupiditate cau&longs;am cogno&longs;cendi: ex quo <lb/>intelligitur Deum qui cogno&longs;cit & tenet cau&longs;as <expan abbr="omniũ">omnium</expan>, Bruta quia <lb/><expan abbr="ne&longs;ciũt">ne&longs;ciunt</expan>, nec &longs;cire cupiunt, nihil admirari: <expan abbr="&longs;olũ">&longs;olum</expan> hominem inter vtro&longs;­<lb/>que po&longs;itum, qui ne&longs;ciat, &longs;cire autem cupiat, admirationis e&longs;&longs;e capa­<lb/>cem, vnde non &longs;unt &longs;impliciter intelligendi hi ver&longs;us Horatiani,<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000294">Quemadmodum in re­<lb/>bus naturalibus miræ &longs;unt illæ, quarum cau&longs;a ignoratur: ita & in <lb/>his, quæ præter naturam arte factæ hominibus conferunt, &longs;i & ea­<lb/>rum cau&longs;a lateat, vbi notandum admirationem e&longs;&longs;e animi in rem<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.044.jpg" pagenum="5"/><emph type="italics"/>propo&longs;itam intuitionem cum cupiditate cau&longs;am cogno&longs;cendi: ex quo <lb/>intelligitur Deum qui cogno&longs;cit & tenet cau&longs;as <expan abbr="omniũ">omnium</expan>, Bruta quia <lb/><expan abbr="ne&longs;ciũt">ne&longs;ciunt</expan>, nec &longs;cire cupiunt, nihil admirari: <expan abbr="&longs;olũ">&longs;olum</expan> hominem inter vtro&longs;­<lb/>que po&longs;itum, qui ne&longs;ciat, &longs;cire autem cupiat, admirationis e&longs;&longs;e capa­<lb/>cem, vnde non &longs;unt &longs;impliciter intelligendi hi ver&longs;us Horatiani,<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000295">Nil admirari propè res e&longs;t vna Numici,</s></p><p type="main"> | <s id="id.000295">Nil admirari propè res e&longs;t vna Numici,</s></p><p type="main"> |
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| <s id="id.000309">Fas e&longs;t &longs;cire quidem mortalibus omnia: multa</s></p><p type="main"> | <s id="id.000309">Fas e&longs;t &longs;cire quidem mortalibus omnia: multa</s></p><p type="main"> |
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| <s id="id.000310">Admirare modò, nec non venerarc.</s></p><pb pagenum="6"/><p type="main"> | <s id="id.000310">Admirare modò, nec non venerarc.</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;arÿs vacuus e&longs;t, non inquirere, <lb/>& venerari.<emph.end type="italics"/></s></p><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;arÿs vacuus e&longs;t, non inquirere, <lb/>& venerari.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000324">Siquidem Natura.] <emph type="italics"/>Naturalia principium in &longs;e habent &longs;ui <lb/>motus, quo &longs;i &longs;implicia &longs;unt, ad vnum & vno modo &longs;impliciter <lb/>mouentur: &longs;i commixta prædominantis vnius motum &longs;equuntur, <lb/>&longs;icque ad vnum feruntur. </s> | <s id="id.000324">Siquidem Natura.] <emph type="italics"/>Naturalia principium in &longs;e habent &longs;ui <lb/>motus, quo &longs;i &longs;implicia &longs;unt, ad vnum & vno modo &longs;impliciter <lb/>mouentur: &longs;i commixta prædominantis vnius motum &longs;equuntur, <lb/>&longs;icque ad vnum feruntur. </s> |
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| <s id="id.000325">Hæc &longs;unt demon&longs;trata ab Aristotele<emph.end type="italics"/><pb pagenum="7"/><emph type="italics"/>lib. | <s id="id.000325">Hæc &longs;unt demon&longs;trata ab Aristotele<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.046.jpg" pagenum="7"/><emph type="italics"/>lib. |
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| de Cœlo & de generat. </s> | de Cœlo & de generat. </s> |
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| <s id="id.000333">Illud inuentum, modú&longs;ve inuenicndi <lb/>generalis e&longs;t. </s> | <s id="id.000333">Illud inuentum, modú&longs;ve inuenicndi <lb/>generalis e&longs;t. </s> |
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| <s id="id.000334">hîc particulariter ad <expan abbr="machinã">machinam</expan> <expan abbr="in&longs;trumentáq;">in&longs;trumentáque</expan> refertur, <lb/>quibus <expan abbr="onerũ">onerum</expan> motiones fiant opportunæ, per motiones intellige, quæ <lb/>fiunt à loco ad locum, vt impul&longs;iones, tractiones, volutationes, ve­<lb/>ctiones, & in locis altis, medÿs, imis pro v&longs;u & decoro repo&longs;itiones: <lb/>per onera, quicquid aliò quam quò naturaliter vergit, impellitur, vt <lb/>aërem, cum deor&longs;um de&longs;cendere cogitur, vt aquam, vt terram cum <lb/>&longs;ur&longs;um a&longs;cendere, & eiu&longs;modi, quæ vulgus cum admiratione &longs;u&longs;pi­<lb/>cit, & ni&longs;i fierent, nulla res no&longs;tra non e&longs;&longs;et impedita Atque &longs;ic ra­<lb/>tio hominis nece&longs;sitate v&longs;us, & vtilitatis &longs;uæ pre&longs;&longs;a, efficiens cau&longs;a<emph.end type="italics"/><pb pagenum="8"/><emph type="italics"/>Mechanices hic &longs;tatuitur: vt e&longs;t etiam &longs;tatuta à Vitruuio &longs;ed & per<emph.end type="italics"/><lb/><arrow.to.target n="marg7"/><lb/><emph type="italics"/>imitationem rerum à natura procreatarum. </s> | <s id="id.000334">hîc particulariter ad <expan abbr="machinã">machinam</expan> <expan abbr="in&longs;trumentáq;">in&longs;trumentáque</expan> refertur, <lb/>quibus <expan abbr="onerũ">onerum</expan> motiones fiant opportunæ, per motiones intellige, quæ <lb/>fiunt à loco ad locum, vt impul&longs;iones, tractiones, volutationes, ve­<lb/>ctiones, & in locis altis, medÿs, imis pro v&longs;u & decoro repo&longs;itiones: <lb/>per onera, quicquid aliò quam quò naturaliter vergit, impellitur, vt <lb/>aërem, cum deor&longs;um de&longs;cendere cogitur, vt aquam, vt terram cum <lb/>&longs;ur&longs;um a&longs;cendere, & eiu&longs;modi, quæ vulgus cum admiratione &longs;u&longs;pi­<lb/>cit, & ni&longs;i fierent, nulla res no&longs;tra non e&longs;&longs;et impedita Atque &longs;ic ra­<lb/>tio hominis nece&longs;sitate v&longs;us, & vtilitatis &longs;uæ pre&longs;&longs;a, efficiens cau&longs;a<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.047.jpg" pagenum="8"/><emph type="italics"/>Mechanices hic &longs;tatuitur: vt e&longs;t etiam &longs;tatuta à Vitruuio &longs;ed & per<emph.end type="italics"/><lb/><arrow.to.target n="marg7"/><lb/><emph type="italics"/>imitationem rerum à natura procreatarum. </s> |
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| <s id="id.000335">Homo enim inquit, ani­<lb/>maduertens Solis, Lunæ, & reliquorum planetarum continentes <lb/>motus, & machinationes naturales, &longs;ine quibus non habui&longs;&longs;et in <lb/>terra lucem, & fructuum maturit ates hinc exempla &longs;ump &longs;it, & ea <lb/>imitans, inductus rebus diuinis, commodas vitæ perfecit explicatio­<lb/>nes. </s> | <s id="id.000335">Homo enim inquit, ani­<lb/>maduertens Solis, Lunæ, & reliquorum planetarum continentes <lb/>motus, & machinationes naturales, &longs;ine quibus non habui&longs;&longs;et in <lb/>terra lucem, & fructuum maturit ates hinc exempla &longs;ump &longs;it, & ea <lb/>imitans, inductus rebus diuinis, commodas vitæ perfecit explicatio­<lb/>nes. </s> |
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| <s id="id.000347">Illius artis.] <emph type="italics"/>Ars gencralis, cuius hic mentionem facit Ari­<lb/>&longs;toteles, nu&longs;quam ab eo e&longs;t definita, aut nominata. </s> | <s id="id.000347">Illius artis.] <emph type="italics"/>Ars gencralis, cuius hic mentionem facit Ari­<lb/>&longs;toteles, nu&longs;quam ab eo e&longs;t definita, aut nominata. </s> |
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| <s id="id.000348">Leonicus, qui <lb/>in hunc librum commentarium edidit putat e&longs;&longs;e Architecturam.<emph.end type="italics"/><pb/><emph type="italics"/>Quod facit ex &longs;ententia Vitruuÿ, qui eius tres partes con&longs;tituit, ædi­<lb/>ficationem in explicatione publicorum & priuatorum operum: <lb/>Gnomonicam in de&longs;criptione Horologiorum: & Machinationent <lb/>in cognitione principiorum & di&longs;po&longs;itione machinarum & orga­<lb/>norum. </s> | <s id="id.000348">Leonicus, qui <lb/>in hunc librum commentarium edidit putat e&longs;&longs;e Architecturam.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.048.jpg"/><emph type="italics"/>Quod facit ex &longs;ententia Vitruuÿ, qui eius tres partes con&longs;tituit, ædi­<lb/>ficationem in explicatione publicorum & priuatorum operum: <lb/>Gnomonicam in de&longs;criptione Horologiorum: & Machinationent <lb/>in cognitione principiorum & di&longs;po&longs;itione machinarum & orga­<lb/>norum. </s> |
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| <s id="id.000349">Hæc quidem comprehendi Architecturæ nomine Galenus<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000349">Hæc quidem comprehendi Architecturæ nomine Galenus<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000365">vel &longs;ic <lb/>Mechanice e&longs;t ars cogendi corpora quantum fieri pote&longs;t vt contra <lb/>nutum ferantur. </s> | <s id="id.000365">vel &longs;ic <lb/>Mechanice e&longs;t ars cogendi corpora quantum fieri pote&longs;t vt contra <lb/>nutum ferantur. </s> |
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| <s id="id.000366">Hæc enim tota po&longs;ita e&longs;t, vt ad v&longs;um, delectatio­<lb/>némue hominum grauia &longs;ur&longs;um, leuia deor&longs;um, tum vtraque in la­<lb/>tus, in orbem &longs;eor &longs;im, atque per mixtim è loco in locum moueantur.<emph.end type="italics"/><pb pagenum="10"/><emph type="italics"/>Hæc enim vt fiant, ip&longs;a ars machinas inuenit, & inuentarum, cur <lb/>hæc præ&longs;tent cau&longs;as reddit. </s> | <s id="id.000366">Hæc enim tota po&longs;ita e&longs;t, vt ad v&longs;um, delectatio­<lb/>némue hominum grauia &longs;ur&longs;um, leuia deor&longs;um, tum vtraque in la­<lb/>tus, in orbem &longs;eor &longs;im, atque per mixtim è loco in locum moueantur.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.049.jpg" pagenum="10"/><emph type="italics"/>Hæc enim vt fiant, ip&longs;a ars machinas inuenit, & inuentarum, cur <lb/>hæc præ&longs;tent cau&longs;as reddit. </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.000376">in quibus <lb/>&longs;aciendis hæc lex po&longs;ita e&longs;t, vt omnia fiant ex paratu facilibus quo <lb/>ad materiam: varÿs quoad figuras: exiguis quoad men&longs;uras: leuibus <lb/>quoad pondera. </s> | <s id="id.000376">in quibus <lb/>&longs;aciendis hæc lex po&longs;ita e&longs;t, vt omnia fiant ex paratu facilibus quo <lb/>ad materiam: varÿs quoad figuras: exiguis quoad men&longs;uras: leuibus <lb/>quoad pondera. </s> |
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| <s id="id.000377">Quippè quæ à quibu&longs;cumque artificibus citò fieri <lb/>queant, erectu interim, <expan abbr="trãslatúque">translatúque</expan> facilia: in &longs;idiatu, fractuque dif­<lb/>&longs;icilia: &longs;tabilia, ac tandem eiu&longs;modi &longs;int, vt quatenus neceßitas<emph.end type="italics"/><pb pagenum="11"/><emph type="italics"/>po&longs;tulauerit, facile componi, faciléque di&longs;&longs;olui poßint. </s> | <s id="id.000377">Quippè quæ à quibu&longs;cumque artificibus citò fieri <lb/>queant, erectu interim, <expan abbr="trãslatúque">translatúque</expan> facilia: in &longs;idiatu, fractuque dif­<lb/>&longs;icilia: &longs;tabilia, ac tandem eiu&longs;modi &longs;int, vt quatenus neceßitas<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.050.jpg" pagenum="11"/><emph type="italics"/>po&longs;tulauerit, facile componi, faciléque di&longs;&longs;olui poßint. </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.000388"><margin.target id="marg11"/>In Pancpi­<lb/>&longs;temone.</s></p><p type="main"> | <s id="id.000388"><margin.target id="marg11"/>In Pancpi­<lb/>&longs;temone.</s></p><p type="main"> |
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| <s id="id.000389">Natura vincit.] <emph type="italics"/>Senariolus e&longs;t cuiu&longs;dam antiqui poëtæ nomine<emph.end type="italics"/><pb pagenum="12"/><emph type="italics"/>tenus in hominum memoria &longs;uper&longs;titis: ni&longs;i &longs;it is, de quo Ari&longs;toteles <lb/>in &longs;uis Rhetoricis meminit, lepidumque eius dictum ad &longs;ocios, qui­<lb/>bu&longs;cum vna ducebatur in &longs;upplicium iu&longs;&longs;u Diony &longs;ij tyranni, reci­<lb/>tat. </s> | <s id="id.000389">Natura vincit.] <emph type="italics"/>Senariolus e&longs;t cuiu&longs;dam antiqui poëtæ nomine<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.051.jpg" pagenum="12"/><emph type="italics"/>tenus in hominum memoria &longs;uper&longs;titis: ni&longs;i &longs;it is, de quo Ari&longs;toteles <lb/>in &longs;uis Rhetoricis meminit, lepidumque eius dictum ad &longs;ocios, qui­<lb/>bu&longs;cum vna ducebatur in &longs;upplicium iu&longs;&longs;u Diony &longs;ij tyranni, reci­<lb/>tat. </s> |
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| <s id="id.000390">hos enim videns capite coopertos. </s> | <s id="id.000390">hos enim videns capite coopertos. </s> |
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| <s id="id.000401">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000401">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000402"><emph type="italics"/>Apud Euclidem problema à theoremate di&longs;tinguitur, quod <lb/>hoc iubeat aliquid contemplari: illud fieri: paßim tamen ab<emph.end type="italics"/><pb pagenum="13"/><emph type="italics"/>Ari&longs;totele, & alÿs pro vtroque, vt hic, indifferenter legitur. </s> | <s id="id.000402"><emph type="italics"/>Apud Euclidem problema à theoremate di&longs;tinguitur, quod <lb/>hoc iubeat aliquid contemplari: illud fieri: paßim tamen ab<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.052.jpg" pagenum="13"/><emph type="italics"/>Ari&longs;totele, & alÿs pro vtroque, vt hic, indifferenter legitur. </s> |
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| <s id="id.000403">Qualia <lb/>autem problemata in Mechanicis habeat tractanda explicat Ari­<lb/>&longs;toteles, dicitque ea e&longs;&longs;e, quæ &longs;int con&longs;entanea Phy&longs;icis & Mathe­<lb/>maticis, vt quæ habeant &longs;ubiectum petitum è Phy&longs;icis. <!-- KEEP S--></s> | <s id="id.000403">Qualia <lb/>autem problemata in Mechanicis habeat tractanda explicat Ari­<lb/>&longs;toteles, dicitque ea e&longs;&longs;e, quæ &longs;int con&longs;entanea Phy&longs;icis & Mathe­<lb/>maticis, vt quæ habeant &longs;ubiectum petitum è Phy&longs;icis. <!-- KEEP S--></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, nefru&longs;tretur, con&longs;iderare debet, an quod <lb/>proponitur effici poßit, habitaratione 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, nefru&longs;tretur, con&longs;iderare debet, an quod <lb/>proponitur effici poßit, habitaratione 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><pb pagenum="14"/><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><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.053.jpg" pagenum="14"/><p type="main"> |
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| <s id="id.000413"><gap/></s></p><p type="main"> | <s id="id.000413"><gap/></s></p><p type="main"> |
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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 præualer­<lb/>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 præualer­<lb/>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><pb pagenum="15"/><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><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.054.jpg" pagenum="15"/><p type="main"> |
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| <s id="id.000425"><gap/></s></p><p type="main"> | <s id="id.000425"><gap/></s></p><p type="main"> |
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| <s id="id.000440">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000440">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000441">Maxime verò.] <emph type="italics"/>Circuli admiranda natura declaratur è <lb/>quintuplici contrariorum, quæ in eo præter contrariorum<emph.end type="italics"/><pb pagenum="16"/><emph type="italics"/>legem &longs;imul reperiuntur, repugnantia. </s> | <s id="id.000441">Maxime verò.] <emph type="italics"/>Circuli admiranda natura declaratur è <lb/>quintuplici contrariorum, quæ in eo præter contrariorum<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.055.jpg" pagenum="16"/><emph type="italics"/>legem &longs;imul reperiuntur, repugnantia. </s> |
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| <s id="id.000442">Ex his triplex deprehenditur <lb/>in circulo dum fit: duplex vero dum factus e&longs;t. </s> | <s id="id.000442">Ex his triplex deprehenditur <lb/>in circulo dum fit: duplex vero dum factus 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 quodămodo vndequaque angu­<lb/>lata, cum nu&longs;quam &longs;it, dici poßit, & figura<emph.end type="italics"/> <foreign lang="greek">w_an/gwnos & 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 o&longs;&longs;en&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 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 quodămodo vndequaque angu­<lb/>lata, cum nu&longs;quam &longs;it, dici poßit, & figura<emph.end type="italics"/> <foreign lang="greek">w_an/gwnos & 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 o&longs;&longs;en&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. | <s id="id.000448">quod 16. prop. |
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| <s id="id.000453">De&longs;cribitur autem cum data recta finita, manente eius vno <lb/>extremorum, circummoluitur, quou&longs;que redeat ad locum vnde mo­<lb/>ueri cœpit, id quod, vt &longs;ine errore fiat inuentus e&longs;t circinus à Talo <lb/>Dædali ex &longs;orore nepote, cuius forma & officium ab Ouidio accom­<lb/>modate huic loco, &longs;ic e&longs;t expre&longs;&longs;um,<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000453">De&longs;cribitur autem cum data recta finita, manente eius vno <lb/>extremorum, circummoluitur, quou&longs;que redeat ad locum vnde mo­<lb/>ueri cœpit, id quod, vt &longs;ine errore fiat inuentus e&longs;t circinus à Talo <lb/>Dædali ex &longs;orore nepote, cuius forma & officium ab Ouidio accom­<lb/>modate huic loco, &longs;ic e&longs;t expre&longs;&longs;um,<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000454">Ex vno duo ferrea brachia nodo <lb/>Iunxit, vt æquali &longs;patio di&longs;tanti­<lb/><figure id="fig1"/><lb/>busip&longs;is</s></p><p type="main"> | <s id="id.000454">Ex vno duo ferrea brachia nodo <lb/>Iunxit, vt æquali &longs;patio di&longs;tanti­<lb/><figure id="id.035.01.056.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.056.1.jpg"/><lb/>busip&longs;is</s></p><p type="main"> |
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| <s id="id.000455">Altera pars &longs;taret, pars altera du­<lb/>ceret orbem.</s></p><p type="main"> | <s id="id.000455">Altera pars &longs;taret, pars altera du­<lb/>ceret orbem.</s></p><p type="main"> |
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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;le <expan abbr="appar&etilde;t">apparent</expan>. <lb/></s> | <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;le <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 pagenum="18"/><gap/><lb/>horum enim medium e&longs;t <lb/>æquale: illorum verò re­<lb/>ctum. </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"/><gap/><lb/>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.000469">vbinota Ari&longs;totelem dixi&longs;&longs;e hæe<emph.end type="italics"/> <foreign lang="greek">en)an<gap/>ia w_<gap/>s</foreign> <emph type="italics"/>contraria quodam­<lb/>modo. </s> | <s id="id.000469">vbinota Ari&longs;totelem dixi&longs;&longs;e hæe<emph.end type="italics"/> <foreign lang="greek">en)an<gap/>ia w_<gap/>s</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;untea, <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/>rentÿs, quod &longs;cilicet aliæ alÿs &longs;int al-<emph.end type="italics"/><lb/><figure id="fig2"/><lb/><emph type="italics"/>tiores, vel depreßiores. </s> | <s id="id.000470">Nec enim vere contraria &longs;unt, quia vere contraria &longs;untea, <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/>rentÿs, quod &longs;cilicet aliæ alÿs &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.000471">Cum enim re­<lb/>ctum &longs;it id in lineis quod ex æquo iacet <lb/>inter &longs;ua extrema def. </s> | <s id="id.000471">Cum enim re­<lb/>ctum &longs;it id in lineis quod ex æquo iacet <lb/>inter &longs;ua extrema def. </s> |
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| <s id="id.000472">2. lib. | <s id="id.000472">2. lib. |
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| 1. & vt <lb/>linea A B, curuum erit quod non ex <lb/>æquo iacebit, &longs;ed altius aut depreßius: <lb/>idque &longs;i inter extrema vbique attollatur: <lb/>conuexum vt C E D: &longs;i vero vbique <lb/>deprimatur concauum, vt C F D quæ eadem e&longs;t linea ex &longs;e, &longs;ed <lb/>ex locis E E & F F partium mutata, Cum igitur ab eadem C D<emph.end type="italics"/><pb pagenum="19"/><emph type="italics"/>non &longs;e expellant non erunt verè contraria: qualia tamen apparent ex <lb/>di&longs;tantia & differentiis locorum &longs;ur&longs;um deor&longs;um.<emph.end type="italics"/></s></p><p type="main"> | 1. & vt <lb/>linea A B, curuum erit quod non ex <lb/>æquo iacebit, &longs;ed altius aut depreßius: <lb/>idque &longs;i inter extrema vbique attollatur: <lb/>conuexum vt C E D: &longs;i vero vbique <lb/>deprimatur concauum, vt C F D quæ eadem e&longs;t linea ex &longs;e, &longs;ed <lb/>ex locis E E & F F partium mutata, Cum igitur ab eadem C D<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.058.jpg" pagenum="19"/><emph type="italics"/>non &longs;e expellant non erunt verè contraria: qualia tamen apparent ex <lb/>di&longs;tantia & differentiis locorum &longs;ur&longs;um deor&longs;um.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000473">Hæc autem ita.] <emph type="italics"/>Similitudine comprobatur conuexum & <lb/>concauum contraria e&longs;&longs;e. </s> | <s id="id.000473">Hæc autem ita.] <emph type="italics"/>Similitudine comprobatur conuexum & <lb/>concauum contraria e&longs;&longs;e. </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)/topcn.</foreign> <emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="greek"><gap/>auma/ 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><pb pagenum="20"/><p type="main"> | <s id="id.000487">Atque vnum hoc e&longs;t.] <foreign lang="greek">to\ a)/topcn.</foreign> <emph type="italics"/>Hic vt & alibi &longs;æpius <lb/>pro<emph.end type="italics"/> <foreign lang="greek"><gap/>auma/ 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><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.059.jpg" pagenum="20"/><p type="main"> |
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| <s id="id.000488"><gap/></s></p><p type="main"> | <s id="id.000488"><gap/></s></p><p type="main"> |
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| <s id="id.000499">5. de Phy&longs;ico auditu ex diametralibus locorum, <lb/>ad quæ fiunt, di&longs;tantÿs dextror&longs;um, &longs;ini&longs;tror&longs;um: &longs;ur&longs;um, deor&longs;um: <lb/>& antror&longs;um, retror&longs;um.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000499">5. de Phy&longs;ico auditu ex diametralibus locorum, <lb/>ad quæ fiunt, di&longs;tantÿs dextror&longs;um, &longs;ini&longs;tror&longs;um: &longs;ur&longs;um, deor&longs;um: <lb/>& antror&longs;um, retror&longs;um.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000500">Atque linea circulum.] <emph type="italics"/>Cur circulus antè & ponè mouea-<emph.end type="italics"/><pb pagenum="21"/><emph type="italics"/>tur, ratio adducitur &longs;umpta ab efficiente circuli cau&longs;a. </s> | <s id="id.000500">Atque linea circulum.] <emph type="italics"/>Cur circulus antè & ponè mouea-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.060.jpg" pagenum="21"/><emph type="italics"/>tur, ratio adducitur &longs;umpta ab efficiente circuli cau&longs;a. </s> |
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| <s id="id.000501">Sic &longs;yllo­<lb/>gi&longs;mus in&longs;titui pote&longs;t. </s> | <s id="id.000501">Sic &longs;yllo­<lb/>gi&longs;mus in&longs;titui pote&longs;t. </s> |
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| <s id="id.000505">Quia igitur in his &longs;unt antè & ponè, <lb/>mouebitur antè & ponè: quia in&longs;uper &longs;unt &longs;ur&longs;um & deor&longs;um, <lb/>mouebitur etiam &longs;imul &longs;ur&longs;um & deor&longs;um.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000505">Quia igitur in his &longs;unt antè & ponè, <lb/>mouebitur antè & ponè: quia in&longs;uper &longs;unt &longs;ur&longs;um & deor&longs;um, <lb/>mouebitur etiam &longs;imul &longs;ur&longs;um & deor&longs;um.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000506"><emph type="italics"/>Centrum enim in plano circundatur quatuor loci differentÿs, <lb/>propter duas quæ in ip&longs;o ad rectos &longs;e &longs;ecant dimen&longs;iones, vt in circu­<lb/>lo B C D E, e&longs;to linea fabricans ip&longs;um A B, ibique e&longs;to ante <lb/>B. igitur cum erit in D, erit ponè: & cum in C, &longs;ur&longs;um: & <lb/>in E, deor&longs;um, & perueniens ad A B, eidem loco re&longs;tituetur, <lb/>à quo cœperat moueri, quod e&longs;t vltimum<emph.end type="italics"/><lb/><figure id="fig3"/><lb/><emph type="italics"/>fieri primum. </s> | <s id="id.000506"><emph type="italics"/>Centrum enim in plano circundatur quatuor loci differentÿs, <lb/>propter duas quæ in ip&longs;o ad rectos &longs;e &longs;ecant dimen&longs;iones, vt in circu­<lb/>lo B C D E, e&longs;to linea fabricans ip&longs;um A B, ibique e&longs;to ante <lb/>B. igitur cum erit in D, erit ponè: & cum in C, &longs;ur&longs;um: & <lb/>in E, deor&longs;um, & perueniens ad A B, eidem loco re&longs;tituetur, <lb/>à quo cœperat moueri, quod e&longs;t vltimum<emph.end type="italics"/><lb/><figure id="id.035.01.060.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.060.1.jpg"/><lb/><emph type="italics"/>fieri primum. </s> |
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| <s id="id.000507">Vnde cum circulu<gap/>oue­<lb/>tur, pote&longs;t dici ire, & reuerti &longs;imul: &longs;ic <lb/>cum &longs;phæricum corpus mouetur, in fine <lb/>&longs;emper, & principio motus &longs;ui, etiam tum <lb/>ire, tum reuerti veri&longs;imiliter dicetur.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000507">Vnde cum circulu<gap/>oue­<lb/>tur, pote&longs;t dici ire, & reuerti &longs;imul: &longs;ic <lb/>cum &longs;phæricum corpus mouetur, in fine <lb/>&longs;emper, & principio motus &longs;ui, etiam tum <lb/>ire, tum reuerti veri&longs;imiliter dicetur.<emph.end type="italics"/></s></p><p type="main"> |
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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 a<gap/>e­<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 a<gap/>e­<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, tràspo&longs;ita, <lb/>quod amplius declarant ea, quæ &longs;ubÿciuntur de vecte & libra, ad <lb/>quæ cum referat omnia Mechanica, & ip&longs;a vectis & libra referan-<emph.end type="italics"/><pb 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><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, tràspo&longs;ita, <lb/>quod amplius declarant ea, quæ &longs;ubÿciuntur 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><p type="main"> |
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| <s id="id.000513"><gap/></s></p><p type="main"> | <s id="id.000513"><gap/></s></p><p type="main"> |
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| <s id="id.000520">Spatium autem <lb/>illud e&longs;t peripheria, quæ ab vnoquoque eorum quæ &longs;unt in &longs;emidia­<lb/>metro punctorum, de&longs;cribitur, &longs;i quodlibet <expan abbr="pũctorum">punctorum</expan> in motu lineæ <lb/>intelligatur &longs;ui, vt puncti, ve&longs;tigium relinquere, vt in eo quod circu­<lb/>lum vndiquaque comprehendit. </s> | <s id="id.000520">Spatium autem <lb/>illud e&longs;t peripheria, quæ ab vnoquoque eorum quæ &longs;unt in &longs;emidia­<lb/>metro punctorum, de&longs;cribitur, &longs;i quodlibet <expan abbr="pũctorum">punctorum</expan> in motu lineæ <lb/>intelligatur &longs;ui, vt puncti, ve&longs;tigium relinquere, vt in eo quod circu­<lb/>lum vndiquaque comprehendit. </s> |
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| <s id="id.000521">Peripheriam autem remotioris pun­<lb/>cti à centro, id e&longs;t &longs;emidiametri maioris e&longs;&longs;e maiorem peripheria pun­<lb/>cti centro propinquioris, id e&longs;t &longs;emidiametri minoris, &longs;ic demon&longs;tra­<lb/>bimus.<emph.end type="italics"/></s></p><pb pagenum="23"/><p type="main"> | <s id="id.000521">Peripheriam autem remotioris pun­<lb/>cti à centro, id e&longs;t &longs;emidiametri maioris e&longs;&longs;e maiorem peripheria pun­<lb/>cti centro propinquioris, id e&longs;t &longs;emidiametri minoris, &longs;ic demon&longs;tra­<lb/>bimus.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.062.jpg" pagenum="23"/><p type="main"> |
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| <s id="id.000522"><emph type="italics"/>E&longs;to A B C, peripheria &longs;emidiametri maioris A E: item <lb/>D F G, peripheria &longs;emidiametri D H minoris. </s> | <s id="id.000522"><emph type="italics"/>E&longs;to A B C, peripheria &longs;emidiametri maioris A E: item <lb/>D F G, peripheria &longs;emidiametri D H minoris. </s> |
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| <s id="id.000523">Dico periphe­<lb/>riam A B C maiorem peripheria D F G. <!-- KEEP S--></s> | <s id="id.000523">Dico periphe­<lb/>riam A B C maiorem peripheria D F G. <!-- KEEP S--></s> |
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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="fig4"/><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. | <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. |
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| <s id="id.000532"><gap/></s></p><p type="main"> | <s id="id.000532"><gap/></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 pagenum="24"/><gap/><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"/><gap/><lb/>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, diamc­<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, diamc­<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 contrarÿs 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 contrarÿs 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 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="fig5"/><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;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> |
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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 quans 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 quans 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.000546">Eiu&longs;modij 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: ligaræ <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;modij 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: ligaræ <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 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">ao)to/ma<gap/>a</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="greek">ao)to/ma<gap/>a</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.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="li-brã">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 pagenum="27"/><gap/><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"/><gap/><lb/>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.000571">Primum igitur.] <emph type="italics"/>Proponitur problema de librarum inæqua­<lb/>lium exactiore iudicio, quod pendet à minorum ponderum deprehen­<lb/>&longs;ione, vt ea &longs;it exactior per quam minora pondera expendi po&longs;&longs;unt.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000571">Primum igitur.] <emph type="italics"/>Proponitur problema de librarum inæqua­<lb/>lium exactiore iudicio, quod pendet à minorum ponderum deprehen­<lb/>&longs;ione, vt ea &longs;it exactior per quam minora pondera expendi po&longs;&longs;unt.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000572">Huius vero.] <emph type="italics"/>Cau&longs;a exactiorum librarum refertur ad circuli<emph.end type="italics"/><pb pagenum="28"/><emph type="italics"/>radios longiores, qui celerius feruntur minoribus, id e&longs;t qui æquali <lb/>tempore maius &longs;patium, & proinde &longs;en &longs;ibilius tran&longs;eunt.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000572">Huius vero.] <emph type="italics"/>Cau&longs;a exactiorum librarum refertur ad circuli<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.067.jpg" pagenum="28"/><emph type="italics"/>radios longiores, qui celerius feruntur minoribus, id e&longs;t qui æquali <lb/>tempore maius &longs;patium, & proinde &longs;en &longs;ibilius tran&longs;eunt.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000573">Celerius enim.] <emph type="italics"/>Celeritatis lationum duos modos adfert &longs;i­<lb/>miles ÿs quos cap. | <s id="id.000573">Celerius enim.] <emph type="italics"/>Celeritatis lationum duos modos adfert &longs;i­<lb/>miles ÿs quos cap. |
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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 pagenum="29"/><gap/><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 rationcm. </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"/><gap/><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 rationcm. </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.000601">Omne duabus latio­<lb/>nibus rationem aliquam inter &longs;e &longs;eruantibus latum, fertur &longs;ecundum<emph.end type="italics"/><pb pagenum="30"/><emph type="italics"/>rectam. </s> | <s id="id.000601">Omne duabus latio­<lb/>nibus rationem aliquam inter &longs;e &longs;eruantibus latum, fertur &longs;ecundum<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.069.jpg" pagenum="30"/><emph type="italics"/>rectam. </s> |
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| <s id="id.000602">Radius de&longs;cribens circulum duabus &longs;uis lationibus, non <lb/>Jertur &longs;ecundum rectam. </s> | <s id="id.000602">Radius de&longs;cribens circulum duabus &longs;uis lationibus, non <lb/>Jertur &longs;ecundum rectam. </s> |
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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="fig6"/><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="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> |
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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 <gap/></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. </s> | <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 <gap/></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. </s> |
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| <s id="id.000618">1. lib. | <s id="id.000618">1. lib. |
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| 6. elem.<emph.end type="italics"/></s></p><pb pagenum="31"/><p type="main"> | 6. elem.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.070.jpg" pagenum="31"/><p type="main"> |
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| <s id="id.000619"><gap/></s></p><p type="main"> | <s id="id.000619"><gap/></s></p><p type="main"> |
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| <s id="id.000625">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000625">COMMENTARIVS.<!-- KEEP S--></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 excmpli 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="fig7"/><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 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 excmpli 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"> |
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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.000647"><foreign lang="greek">dw<gap/>.</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.000647"><foreign lang="greek">dw<gap/>.</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;arÿs 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 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;arÿs 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.000649">Hæc enim in altero extremo mu&longs;ca, tanquam in ex­<lb/>tremo radÿ circulum de&longs;cribentis volatu &longs;uo de&longs;cribit circulum: hic <lb/>volatus compo&longs;itus e&longs;t è duobus motibus: vno, quo hæc mu&longs;ca pro­<lb/>prio fertur, <expan abbr="&longs;ecũdum">&longs;ecundum</expan> quem &longs;e&longs;e è vinculo liberare conatur: altero, quo <lb/>per vinculum retinetur, ne euagetur longius, quam longitudo <lb/>funiculi permittit. </s> | <s id="id.000649">Hæc enim in altero extremo mu&longs;ca, tanquam in ex­<lb/>tremo radÿ circulum de&longs;cribentis volatu &longs;uo de&longs;cribit circulum: hic <lb/>volatus compo&longs;itus e&longs;t è duobus motibus: vno, quo hæc mu&longs;ca pro­<lb/>prio fertur, <expan abbr="&longs;ecũdum">&longs;ecundum</expan> quem &longs;e&longs;e è vinculo liberare conatur: altero, quo <lb/>per vinculum retinetur, ne euagetur longius, quam longitudo <lb/>funiculi permittit. </s> |
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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/>lationib^{9} 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;cri-b&etilde;s">de&longs;cri­<lb/>bens</expan> circulum duabus &longs;imul <lb/>lationib^{9} 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> [demõ&longs;trem^{9}]. Sit circu­<pb pagenum="34"/><gap/><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> [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"><gap/> g</foreign>: Atnunc 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 id="id.000659">Et <lb/>fieri à <expan abbr="c&etilde;tro">centro</expan> <expan abbr="perpendicula-r&etilde;">perpendicula­<lb/>rem</expan> [demõ&longs;trem^{9}]. Sit circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.073.jpg" pagenum="34"/><gap/><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> [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"><gap/> g</foreign>: Atnunc 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"> |
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| <s id="id.000660">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000660">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| 1. de Cœlo) Quinetiam &longs;i &longs;ic. </s> | 1. de Cœlo) Quinetiam &longs;i &longs;ic. </s> |
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| <s id="id.000664">Idem radius à diametro cir-<emph.end type="italics"/><lb/><figure id="fig8"/><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="greek">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="fig9"/><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. <!-- KEEP S--></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="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. <!-- KEEP S--></s> |
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| <s id="id.000668">V traque autem hæc latio quanta &longs;it <lb/>men&longs;uraturlineisrectis, quarum altera in po&longs;te­<lb/>riore diaorammate 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><!-- KEEP S--></s></p><pb pagenum="35"/><p type="main"> | <s id="id.000668">V traque autem hæc latio quanta &longs;it <lb/>men&longs;uraturlineisrectis, quarum altera in po&longs;te­<lb/>riore diaorammate 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><!-- KEEP S--></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.000680">Syllogi&longs;mus e&longs;t <lb/>connexus &longs;ic.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000680">Syllogi&longs;mus e&longs;t <lb/>connexus &longs;ic.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000681"><emph type="italics"/>Si duorum eadem vi motorum vnum plus repellitur, alterum <lb/>minus: quod plus repellitur, tardius fertur.<emph.end type="italics"/></s></p><pb pagenum="36"/><p type="main"> | <s id="id.000681"><emph type="italics"/>Si duorum eadem vi motorum vnum plus repellitur, alterum <lb/>minus: quod plus repellitur, tardius fertur.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.075.jpg" pagenum="36"/><p type="main"> |
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| <s id="id.000682"><emph type="italics"/>Radiorem inæqualium eadem vi motorum minor plus <lb/>repellitur.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000682"><emph type="italics"/>Radiorem inæqualium eadem vi motorum minor plus <lb/>repellitur.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000696">Hæc au­<lb/>tem alibi ab eo dicta adferri pote&longs;t. </s> | <s id="id.000696">Hæc au­<lb/>tem alibi ab eo dicta adferri pote&longs;t. </s> |
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| <s id="id.000697">quia quicquid &longs;implex exi&longs;tens <lb/>duabus lationibus &longs;imul fertur, alteram naturalem, alteram præter­<lb/>naturam habere &longs;eu vt ita dicam &longs;ecundariam, & ab alio penden­<lb/>tem nece&longs;&longs;e e&longs;t: &longs;icuti videre e&longs;t in motibus inferiorum orbium cæle-<emph.end type="italics"/><pb pagenum="37"/><emph type="italics"/>&longs;tium, qui proprio ab occa&longs;u in Orientem vergunt, & motu primi <lb/>mobilis ab Oriente in occa&longs;um mouentur. </s> | <s id="id.000697">quia quicquid &longs;implex exi&longs;tens <lb/>duabus lationibus &longs;imul fertur, alteram naturalem, alteram præter­<lb/>naturam habere &longs;eu vt ita dicam &longs;ecundariam, & ab alio penden­<lb/>tem nece&longs;&longs;e e&longs;t: &longs;icuti videre e&longs;t in motibus inferiorum orbium cæle-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.076.jpg" pagenum="37"/><emph type="italics"/>&longs;tium, qui proprio ab occa&longs;u in Orientem vergunt, & motu primi <lb/>mobilis ab Oriente in occa&longs;um mouentur. </s> |
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| <s id="id.000698">Ergo cum extremum radÿ <lb/>mobile aut radius ip&longs;e &longs;it quid &longs;implicißimum, & &longs;imul duabus la­<lb/>tionibus feratur, altera harum erit ei naturalis, altera ad vim alte­<lb/>rius con&longs;equetur. </s> | <s id="id.000698">Ergo cum extremum radÿ <lb/>mobile aut radius ip&longs;e &longs;it quid &longs;implicißimum, & &longs;imul duabus la­<lb/>tionibus feratur, altera harum erit ei naturalis, altera ad vim alte­<lb/>rius con&longs;equetur. </s> |
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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> 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> 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> 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]. <pb pagenum="38"/><gap/><lb/>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> Sunt vero <lb/><foreign lang="greek">w n & q z</foreign> æquales. </s> | <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> 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> 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> 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]. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.077.jpg" pagenum="38"/><gap/><lb/>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> Sunt vero <lb/><foreign lang="greek">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="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> |
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| 12. <lb/>lib. | 12. <lb/>lib. |
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| 1. &longs;itque<emph.end type="italics"/> <foreign lang="greek">q z.</foreign></s></p><pb pagenum="39"/><p type="main"> | 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"> |
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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. | <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. |
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| 31. lib. | 31. lib. |
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| 1. <lb/>quæ &longs;it<emph.end type="italics"/> <foreign lang="greek">q w.</foreign></s></p><figure/><p type="main"> | 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"> |
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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="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> |
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| 1. 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"> | 1. 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"> |
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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 pagenum="40"/><p type="main"> | <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"> |
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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="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"> |
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| <s id="id.000737">Perpendicula­<lb/>res à peripheriis in &longs;emidiametros circulorum inæqualium æquales <lb/>&longs;egmenta auferunt de &longs;emidiametris inæqualia, & quidem maius in <lb/>minori comprehen&longs;um inter peripheriam & perpendicularem.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000737">Perpendicula­<lb/>res à peripheriis in &longs;emidiametros circulorum inæqualium æquales <lb/>&longs;egmenta auferunt de &longs;emidiametris inæqualia, & quidem maius in <lb/>minori comprehen&longs;um inter peripheriam & perpendicularem.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000738">Expo­<lb/><figure id="fig10"/><lb/>&longs;itio.</s></p><p type="main"> | <s id="id.000738">Expo­<lb/><figure id="id.035.01.079.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.079.1.jpg"/><lb/>&longs;itio.</s></p><p type="main"> |
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| <s id="id.000739"><emph type="italics"/>Sunto <lb/>duo cir <lb/>culi in­<lb/>æqua­<lb/>les A <lb/>B C ma <lb/>ior & <lb/>D E F <lb/>minor, perpendiculares &longs;int B K, E I & ablatæ A K, D I.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="41"/><p type="main"> | <s id="id.000739"><emph type="italics"/>Sunto <lb/>duo cir <lb/>culi in­<lb/>æqua­<lb/>les A <lb/>B C ma <lb/>ior & <lb/>D E F <lb/>minor, perpendiculares &longs;int B K, E I & ablatæ A K, D I.<emph.end type="italics"/><!-- KEEP S--></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.080.jpg" pagenum="41"/><p type="main"> |
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| <s id="id.000740">Deter. <emph type="italics"/>Dico D I e&longs;&longs;e maiorem ip&longs;a A K quæ e&longs;t &longs;egmentum in <lb/>maiori circulo. </s> | <s id="id.000740">Deter. <emph type="italics"/>Dico D I e&longs;&longs;e maiorem ip&longs;a A K quæ e&longs;t &longs;egmentum in <lb/>maiori circulo. </s> |
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| 3. ducatur A k diameter. </s> | 3. ducatur A k diameter. </s> |
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| <s id="id.000744">De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centrũ">centrum</expan><emph.end type="italics"/><lb/><figure id="fig11"/><lb/><emph type="italics"/>inter A & D, & interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. <!-- KEEP S--></s> | <s id="id.000744">De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centrũ">centrum</expan><emph.end type="italics"/><lb/><figure id="id.035.01.080.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.080.1.jpg"/><lb/><emph type="italics"/>inter A & D, & interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. <!-- KEEP S--></s> |
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| <s id="id.000745">Nam &longs;i <lb/>& &longs;ecet, vt in puncto H, ducta <lb/>H E. erit æqualis ip&longs;i E A def. <lb/></s> | <s id="id.000745">Nam &longs;i <lb/>& &longs;ecet, vt in puncto H, ducta <lb/>H E. erit æqualis ip&longs;i E A def. <lb/></s> |
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| <s id="id.000761">ideo æquales ax. </s> | <s id="id.000761">ideo æquales ax. </s> |
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| <s id="id.000762">10. tum angulus M H N ad centrum con&longs;titutus<emph.end type="italics"/><pb pagenum="42"/><emph type="italics"/>& angulus E H I ad centrum con&longs;titutus in æqualibus circulis ex <lb/>fab. </s> | <s id="id.000762">10. tum angulus M H N ad centrum con&longs;titutus<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.081.jpg" pagenum="42"/><emph type="italics"/>& angulus E H I ad centrum con&longs;titutus in æqualibus circulis ex <lb/>fab. </s> |
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| <s id="id.000763">&longs;unt æquales prop. | <s id="id.000763">&longs;unt æquales prop. |
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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="greek">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 pagenum="43"/><gap/><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"/><gap/><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>]. 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> E&longs;t &longs;iquidem vt <foreign lang="greek">h k</foreign> ad <lb/><foreign lang="greek"><gap/> 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 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>]. 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> E&longs;t &longs;iquidem vt <foreign lang="greek">h k</foreign> ad <lb/><foreign lang="greek"><gap/> 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> |
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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 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"/>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"/>Cæterum eadem vis in vtri&longs;que cir­<lb/>culis intelligitur ex æqualitate angulorum ad centrum con&longs;tituto­<lb/>rum. </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="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"/>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"/>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"><gap/> a h</foreign> <emph type="italics"/>angulo<emph.end type="italics"/> <foreign lang="greek">x a <expan abbr="q.">que</expan></foreign></s></p><p type="main"> | <s id="id.000787">Æqualis enim e&longs;t angulus<emph.end type="italics"/> <foreign lang="greek"><gap/> a h</foreign> <emph type="italics"/>angulo<emph.end type="italics"/> <foreign lang="greek">x a <expan abbr="q.">que</expan></foreign></s></p><p type="main"> |
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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 pagenum="45"/><gap/><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"/><gap/><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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| 11. <lb/>Prouerb.<!-- KEEP S--></s></p><p type="main"> | 11. <lb/>Prouerb.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000806">Agina fit cen­<lb/><figure id="fig12"/><lb/><expan abbr="trũ">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari­<lb/>&longs;toteles <expan abbr="accõmodat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;itũ">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltimò <lb/><expan abbr="demon&longs;tratã">demon&longs;tratam</expan>. </s> | <s id="id.000806">Agina fit cen­<lb/><figure id="id.035.01.084.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.084.1.jpg"/><lb/><expan abbr="trũ">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari­<lb/>&longs;toteles <expan abbr="accõmodat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;itũ">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltimò <lb/><expan abbr="demon&longs;tratã">demon&longs;tratam</expan>. </s> |
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| <s id="id.000807">Quod <lb/>vt intelligaturprius <lb/>in libra A D B C <lb/>H I partes notan­<lb/>dæ &longs;unt. </s> | <s id="id.000807">Quod <lb/>vt intelligaturprius <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 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"><gap/>ar/tion</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/<gap/>as</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="greek"><gap/>ar/tion</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/<gap/>as</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.000817">Ob <lb/>id purpuræ venditores, vt <lb/><expan abbr="pend&etilde;do">pendendo</expan> <expan abbr="defraud&etilde;t">defraudent</expan>, a&longs;tutè <lb/>faciunt, qui aginam non in <lb/>medio collocant, & plum­<lb/>bum in altera librilis parte <lb/>illinunt, vel èligno quod <lb/>ad <expan abbr="radic&etilde;">radicem</expan> vergebat, <expan abbr="faciũt">faciunt</expan>, <lb/>quo inclinare <expan abbr="de&longs;iderãt">de&longs;iderant</expan>, vel <lb/>&longs;i no <expan abbr="dũ">dum</expan> habuerit. </s> | <s id="id.000817">Ob <lb/>id purpuræ venditores, vt <lb/><expan abbr="pend&etilde;do">pendendo</expan> <expan abbr="defraud&etilde;t">defraudent</expan>, a&longs;tutè <lb/>faciunt, qui aginam non in <lb/>medio collocant, & plum­<lb/>bum in altera librilis parte <lb/>illinunt, vel èligno quod <lb/>ad <expan abbr="radic&etilde;">radicem</expan> vergebat, <expan abbr="faciũt">faciunt</expan>, <lb/>quo inclinare <expan abbr="de&longs;iderãt">de&longs;iderant</expan>, vel <lb/>&longs;i no <expan abbr="dũ">dum</expan> habuerit. </s> |
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| <s id="id.000818">Ligni <expan abbr="enĩ">enim</expan> <lb/>grauior e&longs;t illa pars, vbi ra­<lb/>dix, E&longs;t vero nodus quæ­<lb/>dam radix.</s></p><pb pagenum="47"/><p type="head"> | <s id="id.000818">Ligni <expan abbr="enĩ">enim</expan> <lb/>grauior e&longs;t illa pars, vbi ra­<lb/>dix, E&longs;t vero nodus quæ­<lb/>dam radix.</s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.086.jpg" pagenum="47"/><p type="head"> |
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| <s id="id.000819">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000819">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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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.000844">E&longs;t <expan abbr="aut&etilde;">autem</expan>, vt author e&longs;t Plinius, ille magni<emph.end type="italics"/><pb pagenum="48"/><emph type="italics"/>pretÿ flos tingendis regum ve&longs;tibus expetitus. </s> | <s id="id.000844">E&longs;t <expan abbr="aut&etilde;">autem</expan>, vt author e&longs;t Plinius, ille magni<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.087.jpg" pagenum="48"/><emph type="italics"/>pretÿ flos tingendis regum ve&longs;tibus expetitus. </s> |
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| <s id="id.000845">Hunc in medÿs 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 medÿs 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.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/>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> Itaque recta bi­<lb/>fariam diuidens librile, pri. <lb/><!-- REMOVE S-->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 pagenum="49"/><gap/><lb/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="greek">f p.</foreign> 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 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/>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> Itaque recta bi­<lb/>fariam diuidens librile, pri. <lb/><!-- REMOVE S-->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"/><gap/><lb/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="greek">f p.</foreign> 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> |
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| <s id="id.000864">De qua quæruntur duo. </s> | <s id="id.000864">De qua quæruntur duo. </s> |
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| <s id="id.000865">Primum cur &longs;i cen­<lb/>trum libræ &longs;it in &longs;uperiori parte librilis &longs;itum, cum pondere impo&longs;ito <lb/>deor&longs;um venerit librilis vna pars, altera &longs;ur&longs;um, eodem &longs;ublato, & <lb/>librili libero relicto brachia librilis redeant ad pri&longs;tinum locum.<emph.end type="italics"/><pb pagenum="50"/><emph type="italics"/>Secundum, cur &longs;i centrum eius &longs;it in inferiori parte librilis &longs;itum, <lb/>& pondere impo&longs;ito, parteque librilis vna deor&longs;um demi&longs;&longs;a, eodem <lb/>&longs;ublato librile liberum relictum non redeat: &longs;ed in eo &longs;itu maneat. <lb/></s> | <s id="id.000865">Primum cur &longs;i cen­<lb/>trum libræ &longs;it in &longs;uperiori parte librilis &longs;itum, cum pondere impo&longs;ito <lb/>deor&longs;um venerit librilis vna pars, altera &longs;ur&longs;um, eodem &longs;ublato, & <lb/>librili libero relicto brachia librilis redeant ad pri&longs;tinum locum.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.089.jpg" pagenum="50"/><emph type="italics"/>Secundum, cur &longs;i centrum eius &longs;it in inferiori parte librilis &longs;itum, <lb/>& pondere impo&longs;ito, parteque librilis vna deor&longs;um demi&longs;&longs;a, eodem <lb/>&longs;ublato librile liberum relictum non redeat: &longs;ed in eo &longs;itu maneat. <lb/></s> |
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| <s id="id.000866">Tertium adiungitur à Guido V baldo (è quo quæ hîc dicemus omnia <lb/>ferè depromp &longs;imus) non minus quæ&longs;itu dignum. </s> | <s id="id.000866">Tertium adiungitur à Guido V baldo (è quo quæ hîc dicemus omnia <lb/>ferè depromp &longs;imus) non minus quæ&longs;itu dignum. </s> |
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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="fig13"/><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="fig14"/><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.000871">At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con­<lb/>&longs;tituaturproblema <lb/>hîc ab Ari&longs;totele <lb/><expan abbr="po&longs;itũ">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experientiã">experientiam</expan>, <lb/>&longs;ed & rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo­<lb/>di <expan abbr="cũ">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centrũ">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it & in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, & <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="fig15"/><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen­<lb/>trum tran&longs;ire <lb/>perpendiculari­<lb/>ter ad planum <lb/><expan abbr="horizõtis">horizontis</expan> D E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.000871">At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con­<lb/>&longs;tituaturproblema <lb/>hîc ab Ari&longs;totele <lb/><expan abbr="po&longs;itũ">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experientiã">experientiam</expan>, <lb/>&longs;ed & rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo­<lb/>di <expan abbr="cũ">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centrũ">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.090.jpg" pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it & in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, & <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="id.035.01.090.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.090.1.jpg"/><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen­<lb/>trum tran&longs;ire <lb/>perpendiculari­<lb/>ter ad planum <lb/><expan abbr="horizõtis">horizontis</expan> D E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000872"><emph type="italics"/>Exemplum li­<lb/>brilis <expan abbr="cũ">cum</expan> truti­<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="fig16"/><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>& trutina K <lb/>L, & centrum <lb/>libræ L.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.000872"><emph type="italics"/>Exemplum li­<lb/>brilis <expan abbr="cũ">cum</expan> truti­<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="id.035.01.090.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.090.2.jpg"/><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>& trutina K <lb/>L, & centrum <lb/>libræ L.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.000873">An quia &longs;u­<lb/>perne.] <emph type="italics"/>In­<lb/>tellectis libræ <lb/>generibus ad propo&longs;itum problema accommodatis, nunc eius partis <lb/>prioris adfertur &longs;olutio. </s> | <s id="id.000873">An quia &longs;u­<lb/>perne.] <emph type="italics"/>In­<lb/>tellectis libræ <lb/>generibus ad propo&longs;itum problema accommodatis, nunc eius partis <lb/>prioris adfertur &longs;olutio. </s> |
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| <s id="id.000882">grauis.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000882">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"/><pb pagenum="52"/><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="fig17"/><lb/><emph type="italics"/>in centro, &longs;icque triangu­<lb/>lum con&longs;tituit comprehen­<lb/>dens aliquam partem al­<lb/>terutrius brachÿ 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 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"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.091.jpg" pagenum="52"/><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 brachÿ 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.000884">At­<lb/>que hic modus conuenit <lb/>&longs;en&longs;ui Ari&longs;totelis, vt qui <lb/>eo v&longs;urus &longs;it capite &longs;equen­<lb/>ti in problemate de vecte. <lb/></s> | <s id="id.000884">At­<lb/>que hic modus conuenit <lb/>&longs;en&longs;ui Ari&longs;totelis, vt qui <lb/>eo v&longs;urus &longs;it capite &longs;equen­<lb/>ti in problemate de vecte. <lb/></s> |
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| <s id="id.000885">Et etiam pulchrè re&longs;pon-<emph.end type="italics"/><lb/><figure id="fig18"/><lb/><emph type="italics"/>det cau&longs;æ iam dictæ ex <lb/>proprietate circuli, quate­<lb/>nus eius radÿ breuiores <lb/>&longs;unt aut longiores, & pro­<lb/>pter i&longs;tam inæqualitatem <lb/>tardiores aut velociores.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000885">Et etiam pulchrè re&longs;pon-<emph.end type="italics"/><lb/><figure id="id.035.01.091.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.091.2.jpg"/><lb/><emph type="italics"/>det cau&longs;æ iam dictæ ex <lb/>proprietate circuli, quate­<lb/>nus eius radÿ breuiores <lb/>&longs;unt aut longiores, & pro­<lb/>pter i&longs;tam inæqualitatem <lb/>tardiores aut velociores.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000886"><emph type="italics"/>In librili vero &longs;ecundi <lb/>modi res erit adhuc aper­<lb/>tior. </s> | <s id="id.000886"><emph type="italics"/>In librili vero &longs;ecundi <lb/>modi res erit adhuc aper­<lb/>tior. </s> |
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| <s id="id.000887">Centro &longs;iquidem L, <lb/>& interuallo L K circu­<lb/>lus de&longs;cribatur, & K <lb/><expan abbr="motũ">motum</expan> &longs;it in P propter vim <lb/>allatam: tum L K per­<lb/>pendicularis intellecta pro­<lb/>ducta &longs;ecabit brachium <lb/>P H, id e&longs;t K H, vt in <lb/>M: &longs;icque P M accre&longs;cet pro longitudine ideo & grauitate ad <lb/>P G, redibit igitur G P M.<emph.end type="italics"/></s></p><pb pagenum="53"/><figure/><p type="main"> | <s id="id.000887">Centro &longs;iquidem L, <lb/>& interuallo L K circu­<lb/>lus de&longs;cribatur, & K <lb/><expan abbr="motũ">motum</expan> &longs;it in P propter vim <lb/>allatam: tum L K per­<lb/>pendicularis intellecta pro­<lb/>ducta &longs;ecabit brachium <lb/>P H, id e&longs;t K H, vt in <lb/>M: &longs;icque P M accre&longs;cet pro longitudine ideo & grauitate ad <lb/>P G, redibit igitur G P M.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.092.jpg" pagenum="53"/><figure id="id.035.01.092.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.092.1.jpg"/><p type="main"> |
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| <s id="id.000888"><emph type="italics"/>Contra in alte­<lb/>ro diagrammate <lb/>eiu&longs;modi &longs;ectio <lb/>fiet, vt in O, & <lb/>&longs;ic pars O P ac­<lb/>cre&longs;cet ad P H: <lb/>&longs;icque tota O P <lb/>H vt longior, ita <lb/>grauior O G. <lb/><!-- KEEP S--></s> | <s id="id.000888"><emph type="italics"/>Contra in alte­<lb/>ro diagrammate <lb/>eiu&longs;modi &longs;ectio <lb/>fiet, vt in O, & <lb/>&longs;ic pars O P ac­<lb/>cre&longs;cet ad P H: <lb/>&longs;icque tota O P <lb/>H vt longior, ita <lb/>grauior O G. <lb/><!-- KEEP S--></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="fig19"/><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;">cem</expan> <lb/><expan abbr="trũ">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;">cem</expan> <lb/><expan abbr="trũ">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> |
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| <s id="id.000895">At G O P H manebit &longs;ic, nec <lb/>redibit ad G k H, quia, quod e&longs;&longs;et contra naturam, a&longs;cenderet. <lb/></s> | <s id="id.000895">At G O P H manebit &longs;ic, nec <lb/>redibit ad G k H, quia, quod e&longs;&longs;et contra naturam, a&longs;cenderet. <lb/></s> |
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| <s id="id.000896">Vbiautem centrum librilis e&longs;t exqui&longs;itè medium, vt C ip&longs;ius A B <lb/>cum trutina C D mobili, &longs;eu &longs;upra, &longs;eu infra po&longs;ita &longs;it, quocunqu<gap/><emph.end type="italics"/><pb pagenum="54"/><figure id="fig20"/><lb/><emph type="italics"/>in &longs;itu fuerit A B vt <lb/>in G H manebit, tum <lb/>quia brachia manent <lb/>æqualia, tum quia cen­<lb/>trum grauitatis C &longs;em­<lb/>per erit in perpendicu­<lb/>lari horizontis, &longs;ecun­<lb/>dum quam & ad quam <lb/>magnitudo compo&longs;ita <lb/>exbrachÿs C A, C B & lancibus & ponderibus æquiponderan­<lb/>tibus, &longs;i impo&longs;ita &longs;int, fertur, &longs;ed &longs;u&longs;tinetur linea C D vel C E <lb/>fixa. </s> | <s id="id.000896">Vbiautem centrum librilis e&longs;t exqui&longs;itè medium, vt C ip&longs;ius A B <lb/>cum trutina C D mobili, &longs;eu &longs;upra, &longs;eu infra po&longs;ita &longs;it, quocunqu<gap/><emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.093.jpg" pagenum="54"/><figure id="id.035.01.093.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.093.1.jpg"/><lb/><emph type="italics"/>in &longs;itu fuerit A B vt <lb/>in G H manebit, tum <lb/>quia brachia manent <lb/>æqualia, tum quia cen­<lb/>trum grauitatis C &longs;em­<lb/>per erit in perpendicu­<lb/>lari horizontis, &longs;ecun­<lb/>dum quam & ad quam <lb/>magnitudo compo&longs;ita <lb/>exbrachÿs C A, C B & lancibus & ponderibus æquiponderan­<lb/>tibus, &longs;i impo&longs;ita &longs;int, fertur, &longs;ed &longs;u&longs;tinetur linea C D vel C E <lb/>fixa. </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.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. <pb pagenum="55"/><gap/><lb/>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"> | <s id="id.000908">Quoniam vero <lb/>celerius ab æquali ponde­<lb/>re mouetur radius maior. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.094.jpg" pagenum="55"/><gap/><lb/>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.000909">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.000909">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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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;tigitur 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="fig21"/><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;tigitur 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">(w_omo/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="greek">(w_omo/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="fig22"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. <!-- KEEP S--></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. <!-- KEEP S--></s> |
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| <s id="id.000918">Huius enim <lb/>pri&longs;matis lateri vni tanquam centro, &longs;i <lb/>vectis innitentis caput deprimatur, nece&longs;&longs;e <lb/>erit ilico lingulam, & con&longs;equenter lin­<lb/>guæ innixum onus attolli, & ideo com­<lb/>moueri. </s> | <s id="id.000918">Huius enim <lb/>pri&longs;matis lateri vni tanquam centro, &longs;i <lb/>vectis innitentis caput deprimatur, nece&longs;&longs;e <lb/>erit ilico lingulam, & con&longs;equenter lin­<lb/>guæ innixum onus attolli, & ideo com­<lb/>moueri. </s> |
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| <s id="id.000920">Hoc enim &longs;ur&longs;um lato omnes etiam <lb/>vectis partes attolli nece&longs;&longs;e e&longs;t præter extremum lingulæ fixum, quo<gap/><lb/>centri immobilis rationem &longs;umit, & terræ vel alÿ corpori immobili <lb/>tanquam hypomachlio innititur. </s> | <s id="id.000920">Hoc enim &longs;ur&longs;um lato omnes etiam <lb/>vectis partes attolli nece&longs;&longs;e e&longs;t præter extremum lingulæ fixum, quo<gap/><lb/>centri immobilis rationem &longs;umit, & terræ vel alÿ corpori immobili <lb/>tanquam hypomachlio innititur. </s> |
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| <s id="id.000921">Proinde etiam onus ad partis ve­<lb/>ctis cui impo&longs;itum e&longs;t, motionem mouebitur, & tunc non &longs;olum ele­<lb/>uatur: &longs;ed & &longs;i opus e&longs;t, fiatque vectis perpendicularis &longs;olo, &longs;ecundum<emph.end type="italics"/><pb pagenum="56"/><emph type="italics"/>latus impellitur. </s> | <s id="id.000921">Proinde etiam onus ad partis ve­<lb/>ctis cui impo&longs;itum e&longs;t, motionem mouebitur, & tunc non &longs;olum ele­<lb/>uatur: &longs;ed & &longs;i opus e&longs;t, fiatque vectis perpendicularis &longs;olo, &longs;ecundum<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.095.jpg" pagenum="56"/><emph type="italics"/>latus impellitur. </s> |
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| <s id="id.000922">Vtrumque vectis v&longs;um Vitruuius cap. | <s id="id.000922">Vtrumque vectis v&longs;um Vitruuius cap. |
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| <s id="id.000936">Et apud eundem coloßicotera compa­<lb/>ratiuum e&longs;t Græcum pro grandiora, va&longs;tiora, coloßi in&longs;tar ha­<lb/>bentia.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000936">Et apud eundem coloßicotera compa­<lb/>ratiuum e&longs;t Græcum pro grandiora, va&longs;tiora, coloßi in&longs;tar ha­<lb/>bentia.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.000937">Facilius enim e&longs;t.] <emph type="italics"/>Ratio e&longs;t ad augendam problematis propo­<lb/>&longs;itide vecte difficultatem, quæ &longs;ic concludi pote&longs;t.<emph.end type="italics"/></s></p><pb pagenum="57"/><p type="main"> | <s id="id.000937">Facilius enim e&longs;t.] <emph type="italics"/>Ratio e&longs;t ad augendam problematis propo­<lb/>&longs;itide vecte difficultatem, quæ &longs;ic concludi pote&longs;t.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.096.jpg" pagenum="57"/><p type="main"> |
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| <s id="id.000938"><emph type="italics"/>Facilius e&longs;t mouere paruum pondus quam magnum.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.000938"><emph type="italics"/>Facilius e&longs;t mouere paruum pondus quam magnum.<emph.end type="italics"/></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 <pb pagenum="58"/><gap/><lb/>Cau&longs;a vero ante dicta e&longs;t: <lb/>quoniam radius maior ma­<lb/>iorem de&longs;cribit circulum. <lb/></s> | <s id="id.000952">Semper &longs;ane quantò <lb/>longitudo magis di&longs;tabit à <lb/>pre&longs;&longs;ione, facilius mouebit <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.097.jpg" pagenum="58"/><gap/><lb/>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.000958">Vte&longs;t potentia ad pondus &longs;u&longs;tentum: ita e&longs;t pars vectis ab hypo­<lb/>mochlio ver&longs;us linguam, ad partem ab eodem hypomochlio ver&longs;us <lb/>caput, quod vt demon&longs;tretur. </s> | <s id="id.000958">Vte&longs;t potentia ad pondus &longs;u&longs;tentum: ita e&longs;t pars vectis ab hypo­<lb/>mochlio ver&longs;us linguam, ad partem ab eodem hypomochlio ver&longs;us <lb/>caput, quod vt demon&longs;tretur. </s> |
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| <s id="id.000959">Sit vectis A B, & huius hypo­<lb/>mochlium C:<emph.end type="italics"/><lb/><figure id="fig23"/><lb/><emph type="italics"/><expan abbr="&longs;icq;">&longs;icque</expan> vectis duæ <lb/>partes C A ver­<lb/>&longs;us linguam, C <lb/>B ver&longs;us caput: <lb/>&longs;it quoque pon­<lb/>dus D &longs;u&longs;pen&longs;um ex perpendiculari A D: potentia autem &longs;u&longs;tinens <lb/>&longs;it in B. </s> | <s id="id.000959">Sit vectis A B, & huius hypo­<lb/>mochlium C:<emph.end type="italics"/><lb/><figure id="id.035.01.097.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.097.1.jpg"/><lb/><emph type="italics"/><expan abbr="&longs;icq;">&longs;icque</expan> vectis duæ <lb/>partes C A ver­<lb/>&longs;us linguam, C <lb/>B ver&longs;us caput: <lb/>&longs;it quoque pon­<lb/>dus D &longs;u&longs;pen&longs;um ex perpendiculari A D: potentia autem &longs;u&longs;tinens <lb/>&longs;it in B. </s> |
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| <s id="id.000960">Dico potentiam in B e&longs;&longs;e ad pondus D: vt A C ad B <lb/>C (quod hic vocatur reciprocè) fiat ergo vt B C ad A C: ita <lb/>pondus D ad aliud, vt E. hoc igitur pondus E loco potentiæ ap­<lb/>pen&longs;um in B, ip&longs;um D pondere æquabit. </s> | <s id="id.000960">Dico potentiam in B e&longs;&longs;e ad pondus D: vt A C ad B <lb/>C (quod hic vocatur reciprocè) fiat ergo vt B C ad A C: ita <lb/>pondus D ad aliud, vt E. hoc igitur pondus E loco potentiæ ap­<lb/>pen&longs;um in B, ip&longs;um D pondere æquabit. </s> |
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| <s id="id.000962">Et &longs;ic potentia æqualis ip&longs;i E ibidem con&longs;ti­<lb/>tuta pondere æquabit ip&longs;um D, id e&longs;t ne D deor&longs;um vergat, quod fa-<emph.end type="italics"/><pb pagenum="59"/><emph type="italics"/>eit pondus E, prohibebit. </s> | <s id="id.000962">Et &longs;ic potentia æqualis ip&longs;i E ibidem con&longs;ti­<lb/>tuta pondere æquabit ip&longs;um D, id e&longs;t ne D deor&longs;um vergat, quod fa-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.098.jpg" pagenum="59"/><emph type="italics"/>eit pondus E, prohibebit. </s> |
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| <s id="id.000963">Nam æqualia ad idem eandem rationem <lb/>habent prop. | <s id="id.000963">Nam æqualia ad idem eandem rationem <lb/>habent prop. |
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| <s id="id.000982">Pars enim vectis ab hy­<lb/>pomochlio ad caput radÿ 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 radÿ 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 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/nei<gap/>,</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="greek">ra_|on kai\ ple/on <lb/>ki/nei<gap/>,</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="fig24"/><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> <emph type="italics"/>Sed adhuc <lb/>paulo ob&longs;curius. </s> | <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> <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.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="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> |
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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><pb pagenum="61"/><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><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.100.jpg" pagenum="61"/><p type="main"> |
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| <s id="id.000993"><gap/></s></p><p type="main"> | <s id="id.000993"><gap/></s></p><p type="main"> |
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| <s id="id.001007">Propter id ma­<lb/>ximè mouent. </s> | <s id="id.001007">Propter id ma­<lb/>ximè mouent. </s> |
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| <s id="id.001008">Maxima <lb/>enim remi pars à &longs;calmo intus e&longs;t in medio nauis.</s></p><pb pagenum="62"/><p type="head"> | <s id="id.001008">Maxima <lb/>enim remi pars à &longs;calmo intus e&longs;t in medio nauis.</s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.101.jpg" pagenum="62"/><p type="head"> |
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| <s id="id.001009">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.001009">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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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">*argonau<gap/>ikw_n.</foreign></s></p><pb pagenum="63"/><p type="main"> | <s id="id.001024">Sic enim in<emph.end type="italics"/> <foreign lang="greek">*argonau<gap/>ikw_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) )<gap/>pikrate/ws ar)gou_ (w_o<gap/>hmosu/nh|si</foreign></s></p><p type="main"> | <s id="id.001025"><foreign lang="greek">*nh_a d) )<gap/>pikrate/ws ar)gou_ (w_o<gap/>hmosu/nh|si</foreign></s></p><p type="main"> |
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| <s id="id.001037">Athenæus recitat inter <lb/>remos quo&longs;dam fui&longs;&longs;e tantæ longitudinis vt duodequadraginta cu­<lb/>bitos explerent, quod non erit incredibile memoria repetenti quarun­<lb/>dam nauium à veteribus fabricatarum va&longs;titatem, cuiu&longs;modi idem, <lb/>& Plutarchus memorant fui&longs;&longs;e illam dictam fluuialem Thalame­<lb/>gon, quam Ptolomæus Philopator in delicÿs habuit, non tam ad <lb/>v&longs;um: quam ad o&longs;tentationem, vt quæ in longitudinem ducentos ac <lb/>octoginta: & ab imo v&longs;que ad tran&longs;tra duodequinquaginta cubitos <lb/>pateret. </s> | <s id="id.001037">Athenæus recitat inter <lb/>remos quo&longs;dam fui&longs;&longs;e tantæ longitudinis vt duodequadraginta cu­<lb/>bitos explerent, quod non erit incredibile memoria repetenti quarun­<lb/>dam nauium à veteribus fabricatarum va&longs;titatem, cuiu&longs;modi idem, <lb/>& Plutarchus memorant fui&longs;&longs;e illam dictam fluuialem Thalame­<lb/>gon, quam Ptolomæus Philopator in delicÿs habuit, non tam ad <lb/>v&longs;um: quam ad o&longs;tentationem, vt quæ in longitudinem ducentos ac <lb/>octoginta: & ab imo v&longs;que ad tran&longs;tra duodequinquaginta cubitos <lb/>pateret. </s> |
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| <s id="id.001038">Quæ amplitudo remi & nauis (quod alioqui e&longs;t nunc nobis <lb/>incredibile videntibus tantum naues, quæ à numero remigum in <lb/>vnoquoque tran&longs;tro &longs;edentium &longs;unt vniremes, triremes, quadrire­<lb/>mes, quinquiremes) probabile facit fui&longs;&longs;e in v&longs;u apud antiquos naues <lb/>multo plurium remigum decem, vndecim, viginti, multò plurium, in <lb/>vnoquoque tran&longs;tro & tran&longs;trorum multos, ordines vnde idem<emph.end type="italics"/><pb pagenum="64"/><emph type="italics"/>Athenæus recen&longs;et Philadelphum ad v&longs;um habui&longs;&longs;e trieconteres, id <lb/>e&longs;t tricenûm ordinum duas: I co&longs;erem vndm, quæ vicenûm erat, qua­<lb/>tuor quæ ternûm denûm, duas quæ duodenûm, quatuordecim quæ <lb/>vndenûm, & alias infra multas. </s> | <s id="id.001038">Quæ amplitudo remi & nauis (quod alioqui e&longs;t nunc nobis <lb/>incredibile videntibus tantum naues, quæ à numero remigum in <lb/>vnoquoque tran&longs;tro &longs;edentium &longs;unt vniremes, triremes, quadrire­<lb/>mes, quinquiremes) probabile facit fui&longs;&longs;e in v&longs;u apud antiquos naues <lb/>multo plurium remigum decem, vndecim, viginti, multò plurium, in <lb/>vnoquoque tran&longs;tro & tran&longs;trorum multos, ordines vnde idem<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.103.jpg" pagenum="64"/><emph type="italics"/>Athenæus recen&longs;et Philadelphum ad v&longs;um habui&longs;&longs;e trieconteres, id <lb/>e&longs;t tricenûm ordinum duas: I co&longs;erem vndm, quæ vicenûm erat, qua­<lb/>tuor quæ ternûm denûm, duas quæ duodenûm, quatuordecim quæ <lb/>vndenûm, & alias infra multas. </s> |
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| <s id="id.001039">Illam autem, quæ Philopatoris fuit, <lb/>fui&longs;&longs;e quinquaginta ordinum, & in &longs;ingulis tran&longs;tris quadraginta <lb/>remis, id e&longs;t, remigibus (nam & horum po&longs;tea numerum aßignat to­<lb/>tius fui&longs;&longs;e 4000.) agi. </s> | <s id="id.001039">Illam autem, quæ Philopatoris fuit, <lb/>fui&longs;&longs;e quinquaginta ordinum, & in &longs;ingulis tran&longs;tris quadraginta <lb/>remis, id e&longs;t, remigibus (nam & horum po&longs;tea numerum aßignat to­<lb/>tius fui&longs;&longs;e 4000.) agi. </s> |
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| <s id="id.001047">Hic verò cap. | <s id="id.001047">Hic verò cap. |
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| 24. lib. <!-- REMOVE S-->I, de v&longs;u<emph.end type="italics"/><pb 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. <!-- REMOVE S-->Galen. <!-- REMOVE S-->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, & corum 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> | 24. lib. <!-- REMOVE S-->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. <!-- REMOVE S-->Galen. <!-- REMOVE S-->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, & corum 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.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.001050">Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="fig25"/><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de­<lb/>&longs;inant &longs;ecundum re­<lb/>ctam A B parallelam <lb/>rectæ, quæ in naui ex­<lb/>tenderetur à prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/><!-- KEEP S--></s> | <s id="id.001050">Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="id.035.01.104.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.104.1.jpg"/><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de­<lb/>&longs;inant &longs;ecundum re­<lb/>ctam A B parallelam <lb/>rectæ, quæ in naui ex­<lb/>tenderetur à prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/><!-- KEEP S--></s> |
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| <s id="id.001051">Sed &longs;i &longs;ic præterquam <lb/>quod Thalamitarum <lb/>Zygitarum & Thra-<emph.end type="italics"/><pb pagenum="66"/><emph type="italics"/>nitarum Remi e&longs;&longs;ent æquales prop. | <s id="id.001051">Sed &longs;i &longs;ic præterquam <lb/>quod Thalamitarum <lb/>Zygitarum & Thra-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.105.jpg" pagenum="66"/><emph type="italics"/>nitarum Remi e&longs;&longs;ent æquales prop. |
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| 33. & 34. lib. <!-- REMOVE S-->I. elem. </s> | 33. & 34. lib. <!-- REMOVE S-->I. elem. </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">w_<gap/>e<gap/>xoeidh\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="greek">w_<gap/>e<gap/>xoeidh\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="fig26"/><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. <!-- KEEP S--></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. <!-- KEEP S--></s> |
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| <s id="id.001058">2. lib. | <s id="id.001058">2. lib. |
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| 1. & ad earum vnam nempe ex S M, H N<emph.end type="italics"/><pb pagenum="67"/><emph type="italics"/>cum addatur in&longs;uper S H erit ip&longs;a M S H N remus medius <lb/>inæqualis, & vtrolibet aliorum maior ax. </s> | 1. & ad earum vnam nempe ex S M, H N<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.106.jpg" pagenum="67"/><emph type="italics"/>cum addatur in&longs;uper S H erit ip&longs;a M S H N remus medius <lb/>inæqualis, & vtrolibet aliorum maior ax. </s> |
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| <s id="id.001059">4. Ergo maximus, quod <lb/>fuit probandum. </s> | <s id="id.001059">4. Ergo maximus, quod <lb/>fuit probandum. </s> |
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| <s id="id.001073"><emph type="italics"/>Ille remiges inter plus nauim promouet, cuius remi pars à &longs;cal­<lb/>mo ad manubrium maior e&longs;t: & cuius etiam pars à &longs;calmo <lb/>ad palmulam plurimum maris diuidit.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001073"><emph type="italics"/>Ille remiges inter plus nauim promouet, cuius remi pars à &longs;cal­<lb/>mo ad manubrium maior e&longs;t: & cuius etiam pars à &longs;calmo <lb/>ad palmulam plurimum maris diuidit.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001074"><emph type="italics"/>Sed remi pars à &longs;calmo ad manubrium cius qui in medio e&longs;t <lb/>maior: & ad palmulam eiu&longs;dem plus maris diuidit, <lb/>quam aliorum.<emph.end type="italics"/></s></p><pb pagenum="68"/><p type="main"> | <s id="id.001074"><emph type="italics"/>Sed remi pars à &longs;calmo ad manubrium cius qui in medio e&longs;t <lb/>maior: & ad palmulam eiu&longs;dem plus maris diuidit, <lb/>quam aliorum.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.107.jpg" pagenum="68"/><p type="main"> |
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| <s id="id.001075"><emph type="italics"/>Ergo qui in medio e&longs;t inter remiges plus promouet nauim.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001075"><emph type="italics"/>Ergo qui in medio e&longs;t inter remiges plus promouet nauim.<emph.end type="italics"/></s></p><p type="main"> |
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| 1. lib. | 1. lib. |
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| 3. ducatur parallela M N O P<emph.end type="italics"/><pb pagenum="69"/><emph type="italics"/>rectæ C D prop. </s> | 3. ducatur parallela M N O P<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.108.jpg" pagenum="69"/><emph type="italics"/>rectæ C D prop. </s> |
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| <s id="id.001094">31. lib. | <s id="id.001094">31. lib. |
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| 1. &longs;icque parallelogramma &longs;unt O F &<emph.end type="italics"/><lb/><figure id="fig27"/><lb/><emph type="italics"/>N C. <!-- KEEP S--></s> | 1. &longs;icque parallelogramma &longs;unt O F &<emph.end type="italics"/><lb/><figure id="id.035.01.108.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.108.1.jpg"/><lb/><emph type="italics"/>N C. <!-- KEEP S--></s> |
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| <s id="id.001095">Quoniam igitur diame­<lb/>ter A B maxima e&longs;t in&longs;cripta­<lb/>rum in circulo, & K I propin­<lb/>quior centro ip&longs;i L H remotiore <lb/>maior e&longs;t prop. | <s id="id.001095">Quoniam igitur diame­<lb/>ter A B maxima e&longs;t in&longs;cripta­<lb/>rum in circulo, & K I propin­<lb/>quior centro ip&longs;i L H remotiore <lb/>maior e&longs;t prop. |
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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.001112">Inhibitio autem remigum motum habet, & <expan abbr="vehem&etilde;tiorem">vehementiorem</expan> quidem<emph.end type="italics"/><pb pagenum="70"/><emph type="italics"/>remigationis nauem conuertentis ad puppim. </s> | <s id="id.001112">Inhibitio autem remigum motum habet, & <expan abbr="vehem&etilde;tiorem">vehementiorem</expan> quidem<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.109.jpg" pagenum="70"/><emph type="italics"/>remigationis nauem conuertentis ad puppim. </s> |
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| <s id="id.001113">Hæc Cicero. </s> | <s id="id.001113">Hæc Cicero. </s> |
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| <s id="id.001127">Si quis tamen <lb/>etiam de hoc po&longs;tremò remi motu velit &longs;en&longs;i&longs;&longs;e Ari&longs;totelem non re­<lb/>luctabor, dummodo concipiat mare pondus quidem mouendum: &longs;ed <lb/>quod ob renixum qua&longs;i immobile faciat, vt &longs;calmus circa quem tan­<lb/>quam centrum remus voluitur, cedat loco & promoueatur. </s> | <s id="id.001127">Si quis tamen <lb/>etiam de hoc po&longs;tremò remi motu velit &longs;en&longs;i&longs;&longs;e Ari&longs;totelem non re­<lb/>luctabor, dummodo concipiat mare pondus quidem mouendum: &longs;ed <lb/>quod ob renixum qua&longs;i immobile faciat, vt &longs;calmus circa quem tan­<lb/>quam centrum remus voluitur, cedat loco & promoueatur. </s> |
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| <s id="id.001128">Sicque <lb/>nauta aliquid faciet quod non quærit, vt aliud con&longs;equatur: mare<emph.end type="italics"/><pb pagenum="71"/><emph type="italics"/>&longs;cilicet mouebit, vt per antiperi&longs;ta&longs;im in&longs;uper recollectum nauim ex <lb/>parte, qua recolligitur, propellat.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001128">Sicque <lb/>nauta aliquid faciet quod non quærit, vt aliud con&longs;equatur: mare<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.110.jpg" pagenum="71"/><emph type="italics"/>&longs;cilicet mouebit, vt per antiperi&longs;ta&longs;im in&longs;uper recollectum nauim ex <lb/>parte, qua recolligitur, propellat.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001129">Eo vbie&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 vbie&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.001139"><gap/></s></p><p type="main"> | <s id="id.001139"><gap/></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 ctiam propemodum <lb/>quie&longs;centis viribus, magnæ <pb pagenum="72"/><gap/><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 ctiam 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"/><gap/><lb/><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 vect is: pondus mare, gu­<lb/>bernator mouens. </s> | <s id="id.001141">An quia <expan abbr="gubernaculũ">gubernaculum</expan> <lb/>e&longs;t vect is: pondus mare, gu­<lb/>bernator mouens. </s> |
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| <s id="id.001152">Tertium cur nauigium an­<lb/>tror&longs;um plus procedat, quam remi palmula retror&longs;um. </s> | <s id="id.001152">Tertium cur nauigium an­<lb/>tror&longs;um plus procedat, quam remi palmula retror&longs;um. </s> |
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| <s id="id.001153">Atque hæceo <lb/>ordine quo propo&longs;ita &longs;unt, di&longs;&longs;oluentur.<emph.end type="italics"/></s></p><pb pagenum="73"/><p type="main"> | <s id="id.001153">Atque hæceo <lb/>ordine quo propo&longs;ita &longs;unt, di&longs;&longs;oluentur.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.112.jpg" pagenum="73"/><p type="main"> |
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| <s id="id.001154">Gubernaculum.] <emph type="italics"/>Gubernaculum remus erat apud antiquos, <lb/>&longs;ed multo latioris palmulæ: quamremi, quibus ad latera nauis remi­<lb/>gabant. </s> | <s id="id.001154">Gubernaculum.] <emph type="italics"/>Gubernaculum remus erat apud antiquos, <lb/>&longs;ed multo latioris palmulæ: quamremi, quibus ad latera nauis remi­<lb/>gabant. </s> |
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| <s id="id.001165">Quos ip&longs;e cum magnopere hortatus e&longs;&longs;et ad opus aggre­<lb/>diendum, in&longs;uper etiam dies totos operis &longs;e curatorem, exactoremque <lb/>præbui&longs;&longs;e: hac diligentia, his artificibus, hoc architecto, Regem ta­<lb/>men illum dimidium tantum nauis intra &longs;ex men&longs;es perfeci&longs;&longs;e. </s> | <s id="id.001165">Quos ip&longs;e cum magnopere hortatus e&longs;&longs;et ad opus aggre­<lb/>diendum, in&longs;uper etiam dies totos operis &longs;e curatorem, exactoremque <lb/>præbui&longs;&longs;e: hac diligentia, his artificibus, hoc architecto, Regem ta­<lb/>men illum dimidium tantum nauis intra &longs;ex men&longs;es perfeci&longs;&longs;e. </s> |
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| <s id="id.001166">Quo <lb/>facto inchoatam eo modo nauem in mare deducendam manda&longs;&longs;e: vt<emph.end type="italics"/><pb pagenum="74"/><emph type="italics"/>illìc extremæ manus opificium adipi&longs;ceretur. </s> | <s id="id.001166">Quo <lb/>facto inchoatam eo modo nauem in mare deducendam manda&longs;&longs;e: vt<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.113.jpg" pagenum="74"/><emph type="italics"/>illìc extremæ manus opificium adipi&longs;ceretur. </s> |
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| <s id="id.001167">Hac deducta alteram <lb/>nauigÿ partem totidem alijs men&longs;ibus Hieronem <expan abbr="cõ&longs;umma&longs;&longs;e">con&longs;umma&longs;&longs;e</expan>. </s> | <s id="id.001167">Hac deducta alteram <lb/>nauigÿ partem totidem alijs men&longs;ibus Hieronem <expan abbr="cõ&longs;umma&longs;&longs;e">con&longs;umma&longs;&longs;e</expan>. </s> |
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| <s id="id.001181">Fo­<lb/>res etiam ex ebore & odorata materia compactas, atque eo amplius <lb/>pictura &longs;igilli&longs;que exornatas. </s> | <s id="id.001181">Fo­<lb/>res etiam ex ebore & odorata materia compactas, atque eo amplius <lb/>pictura &longs;igilli&longs;que exornatas. </s> |
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| <s id="id.001182">Deinceps erat exhedra quinque lecto­<lb/>rum capax, quorum parietes po&longs;te&longs;que buxo compacti <expan abbr="erãt">erant</expan>, inibique <lb/>bibliotheca, & in lacunari &longs;phæra ad <expan abbr="imitation&etilde;">imitationem</expan> eius &longs;olarij effecta,<emph.end type="italics"/><pb pagenum="75"/><emph type="italics"/>quod in Achradina &longs;itum erat, quæ in&longs;ula e&longs;t Syracu&longs;arum. </s> | <s id="id.001182">Deinceps erat exhedra quinque lecto­<lb/>rum capax, quorum parietes po&longs;te&longs;que buxo compacti <expan abbr="erãt">erant</expan>, inibique <lb/>bibliotheca, & in lacunari &longs;phæra ad <expan abbr="imitation&etilde;">imitationem</expan> eius &longs;olarij effecta,<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.114.jpg" pagenum="75"/><emph type="italics"/>quod in Achradina &longs;itum erat, quæ in&longs;ula e&longs;t Syracu&longs;arum. </s> |
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| <s id="id.001183">Huic <lb/>loco balneum iunctum erat, in quo tres lecti cum &longs;olio metretarum <lb/>quinque capaci, quod ex lapide vario &longs;calptum erat, & tribus æneis <lb/>Caldarijs. </s> | <s id="id.001183">Huic <lb/>loco balneum iunctum erat, in quo tres lecti cum &longs;olio metretarum <lb/>quinque capaci, quod ex lapide vario &longs;calptum erat, & tribus æneis <lb/>Caldarijs. </s> |
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| <s id="id.001197">frumentum negociatorium in <lb/>ea naui exportabant ad millia &longs;exaginta: &longs;al&longs;amenta Sicula ad ca­<lb/>dum decem millia: lanarum talenta viginti millia, & alterius mer­<lb/>cis altera viginti millia, prætereáque commeatus vectorum nauta­<lb/>rumque &longs;exaginta millia. </s> | <s id="id.001197">frumentum negociatorium in <lb/>ea naui exportabant ad millia &longs;exaginta: &longs;al&longs;amenta Sicula ad ca­<lb/>dum decem millia: lanarum talenta viginti millia, & alterius mer­<lb/>cis altera viginti millia, prætereáque commeatus vectorum nauta­<lb/>rumque &longs;exaginta millia. </s> |
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| <s id="id.001198">Horum omnium onus, cum Budæus exqui­<lb/>&longs;itè per&longs;equitur, comperit &longs;ummam librarum ad quinque & &longs;eptua­<lb/>ginta millia excre&longs;cere præter aquam dulcem, præter pi&longs;cinam, præ­<lb/>ter tot dietarum inte&longs;tinum in&longs;trumentum, præter annonam vecto-<emph.end type="italics"/><pb pagenum="76"/><emph type="italics"/>rum, & pabulum equorum, præter denique onus tanti nauigij. </s> | <s id="id.001198">Horum omnium onus, cum Budæus exqui­<lb/>&longs;itè per&longs;equitur, comperit &longs;ummam librarum ad quinque & &longs;eptua­<lb/>ginta millia excre&longs;cere præter aquam dulcem, præter pi&longs;cinam, præ­<lb/>ter tot dietarum inte&longs;tinum in&longs;trumentum, præter annonam vecto-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.115.jpg" pagenum="76"/><emph type="italics"/>rum, & pabulum equorum, præter denique onus tanti nauigij. </s> |
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| <s id="id.001199">Quo­<lb/>modo igitur non erit admirabile tantam molem vnius hominis vi <lb/>propemodum quie&longs;centis exiguo temone dimoueri & obliquari: atque <lb/>hæc de propo&longs;itione dicta &longs;unto.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001199">Quo­<lb/>modo igitur non erit admirabile tantam molem vnius hominis vi <lb/>propemodum quie&longs;centis exiguo temone dimoueri & obliquari: atque <lb/>hæc de propo&longs;itione dicta &longs;unto.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001216">Con­<lb/>trà mare à gubernaculo obliquè impellitur, vel dextror&longs;um vel &longs;ini­<lb/>&longs;tror&longs;um. </s> | <s id="id.001216">Con­<lb/>trà mare à gubernaculo obliquè impellitur, vel dextror&longs;um vel &longs;ini­<lb/>&longs;tror&longs;um. </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 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"><gap/></s></p><p type="main"> | <s id="id.001218"><gap/></s></p><p type="main"> |
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| <s id="id.001230"><emph type="italics"/>Ergo in puppi non in medio gubernaculum collocandum e&longs;t. <lb/></s> | <s id="id.001230"><emph type="italics"/>Ergo in puppi non in medio gubernaculum collocandum e&longs;t. <lb/></s> |
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| <s id="id.001231">Obid etiam&longs;i e pi&longs;cibus quidam parte anteriori homini & quadra­<lb/>pedibus &longs;imiles &longs;unt, vt <expan abbr="Tritõ">Tritom</expan>, Nereis, elephas, & vitulus: po&longs;teriore <lb/>tamen omnes in caudam bifidam de&longs;inunt, paucis admodum exce­<lb/>ptis, atque id non ob aliam cau&longs;am quam quod, velut in nauis puppi <lb/>temo nauim dirigit: Ita pi&longs;cis iter cauda.<emph.end type="italics"/></s></p><pb pagenum="78"/><p type="main"> | <s id="id.001231">Obid etiam&longs;i e pi&longs;cibus quidam parte anteriori homini & quadra­<lb/>pedibus &longs;imiles &longs;unt, vt <expan abbr="Tritõ">Tritom</expan>, Nereis, elephas, & vitulus: po&longs;teriore <lb/>tamen omnes in caudam bifidam de&longs;inunt, paucis admodum exce­<lb/>ptis, atque id non ob aliam cau&longs;am quam quod, velut in nauis puppi <lb/>temo nauim dirigit: Ita pi&longs;cis iter cauda.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.117.jpg" pagenum="78"/><p type="main"> |
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| <s id="id.001232">Quia motor.] <emph type="italics"/>Syllogi&longs;mi præcedentis propo&longs;itio nec po&longs;ita, <lb/>nec illu&longs;trata e&longs;t. </s> | <s id="id.001232">Quia motor.] <emph type="italics"/>Syllogi&longs;mi præcedentis propo&longs;itio nec po&longs;ita, <lb/>nec illu&longs;trata e&longs;t. </s> |
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| <s id="id.001244">Angulus enim æqualis.] <emph type="italics"/>Licet oculata alioquin fide perci­<lb/>piatur quanta & quam euidens nauigÿ temone paulùm vixque con­<lb/>torto ip&longs;ius proræ &longs;tatim tran&longs;po&longs;itio multo maior con&longs;equatur: ta­<lb/>men & id geometrica propo&longs;itione confirmatur quæ imperfecta e&longs;t <lb/>&longs;ed &longs;ic perfici pote&longs;t.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001244">Angulus enim æqualis.] <emph type="italics"/>Licet oculata alioquin fide perci­<lb/>piatur quanta & quam euidens nauigÿ temone paulùm vixque con­<lb/>torto ip&longs;ius proræ &longs;tatim tran&longs;po&longs;itio multo maior con&longs;equatur: ta­<lb/>men & id geometrica propo&longs;itione confirmatur quæ imperfecta e&longs;t <lb/>&longs;ed &longs;ic perfici pote&longs;t.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001245"><emph type="italics"/>Si duo I&longs;o&longs;celia æqualia angulis, inæqualium crurum fuerint: <lb/>erunt & inæqualia<emph.end type="italics"/><lb/><figure id="fig28"/><lb/><emph type="italics"/>ba&longs;ibus: & huius ba­<lb/>&longs;is maior, cuius crura <lb/>maiora. </s> | <s id="id.001245"><emph type="italics"/>Si duo I&longs;o&longs;celia æqualia angulis, inæqualium crurum fuerint: <lb/>erunt & inæqualia<emph.end type="italics"/><lb/><figure id="id.035.01.117.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.117.1.jpg"/><lb/><emph type="italics"/>ba&longs;ibus: & huius ba­<lb/>&longs;is maior, cuius crura <lb/>maiora. </s> |
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| <s id="id.001246">Sint A B E <lb/>& A D C duo i&longs;o&longs;­<lb/>celia æqualia angulis <lb/>qui ad A, & A D <lb/>crus e&longs;to maius crure <lb/>A B &longs;icut & A C <lb/>ip&longs;o A E. <!-- KEEP S--></s> | <s id="id.001246">Sint A B E <lb/>& A D C duo i&longs;o&longs;­<lb/>celia æqualia angulis <lb/>qui ad A, & A D <lb/>crus e&longs;to maius crure <lb/>A B &longs;icut & A C <lb/>ip&longs;o A E. <!-- KEEP S--></s> |
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| <s id="id.001247">Dico ba&longs;im D C maiorem e&longs;&longs;e ba&longs;i B E. <!-- KEEP S--></s> | <s id="id.001247">Dico ba&longs;im D C maiorem e&longs;&longs;e ba&longs;i B E. <!-- KEEP S--></s> |
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| <s id="id.001248">Nam quia<emph.end type="italics"/><pb pagenum="79"/><emph type="italics"/>tres anguli vnius triangulorum &longs;unt æquales tribus alterius prop. <lb/></s> | <s id="id.001248">Nam quia<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.118.jpg" pagenum="79"/><emph type="italics"/>tres anguli vnius triangulorum &longs;unt æquales tribus alterius prop. <lb/></s> |
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| <s id="id.001249">32. lib. | <s id="id.001249">32. lib. |
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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;calm^{9} <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 pagenum="80"/><gap/><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="greek">a b</foreign><lb/>& &longs;calm^{9} <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"/><gap/><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> |
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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 <expan abbr="q.">que</expan></foreign> Similia enim <lb/>&longs;unt triangula. </s> | <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 <expan abbr="q.">que</expan></foreign> Similia enim <lb/>&longs;unt triangula. </s> |
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| <s id="id.001284">Has enim videtur hîc præ&longs;upponere æquales longitu­<lb/>dine, &longs;calmo remum bifariam &longs;ecante: &longs;in minus pondere: ad æquali­<lb/>brium enim cum pars palmulæ maior e&longs;t, caput implumbatur vt <lb/>æquiponderet. </s> | <s id="id.001284">Has enim videtur hîc præ&longs;upponere æquales longitu­<lb/>dine, &longs;calmo remum bifariam &longs;ecante: &longs;in minus pondere: ad æquali­<lb/>brium enim cum pars palmulæ maior e&longs;t, caput implumbatur vt <lb/>æquiponderet. </s> |
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| <s id="id.001285">Et &longs;ic cum remus vnius vel plurium remigum viri­<lb/>bus mouetur, caput per aërem, palmula per aquam: &longs;icque per diuer&longs;a<emph.end type="italics"/><pb pagenum="81"/><emph type="italics"/>media, mouentur. </s> | <s id="id.001285">Et &longs;ic cum remus vnius vel plurium remigum viri­<lb/>bus mouetur, caput per aërem, palmula per aquam: &longs;icque per diuer&longs;a<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.120.jpg" pagenum="81"/><emph type="italics"/>media, mouentur. </s> |
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| <s id="id.001286">Et &longs;ic ex ratione Ari&longs;totelis, &longs;i vera e&longs;t, caput remi <lb/>plus antror&longs;um mouebitur quam palmula retror&longs;um. </s> | <s id="id.001286">Et &longs;ic ex ratione Ari&longs;totelis, &longs;i vera e&longs;t, caput remi <lb/>plus antror&longs;um mouebitur quam palmula retror&longs;um. </s> |
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| 4. lib. | 4. lib. |
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| 1.<emph.end type="italics"/><pb pagenum="82"/><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> | 1.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.121.jpg" pagenum="82"/><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> |
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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> <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 alÿs 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> <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. | <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> <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 alÿs 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> <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. |
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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="fig29"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hane 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 hane 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 E: &longs;ed in K <lb/>vltra E. <!-- KEEP S--></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 E: &longs;ed in K <lb/>vltra E. <!-- KEEP S--></s> |
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| <s id="id.001315">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. <!-- KEEP S--></s> | <s id="id.001315">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. <!-- KEEP S--></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 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"><expan abbr="q.">que</expan></foreign> <emph type="italics"/>Sed &longs;i &longs;ice&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 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"><expan abbr="q.">que</expan></foreign> <emph type="italics"/>Sed &longs;i &longs;ice&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 id="id.001317">quod &longs;i quando fiat, fit <lb/>exaccidenti, nec citra naufragÿ periculum: imo vero &longs;ic non tam <lb/>nauis ferretur antror&longs;um: quam in profundum. </s> | <s id="id.001317">quod &longs;i quando fiat, fit <lb/>exaccidenti, nec citra naufragÿ periculum: imo vero &longs;ic non tam <lb/>nauis ferretur antror&longs;um: quam in profundum. </s> |
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| <s id="id.001318">At contrà latum <lb/>pro&longs;perè nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em­<lb/>per æquidi&longs;tantem aquæ, ni&longs;i quod verius e&longs;t, arcum peripheriæ, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aquæ.<emph.end type="italics"/><lb/><figure id="fig30"/><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, & <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi­<lb/>gationis, & in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal­<lb/>mulæ B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. <!-- KEEP S--></s> | <s id="id.001318">At contrà latum <lb/>pro&longs;perè nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em­<lb/>per æquidi&longs;tantem aquæ, ni&longs;i quod verius e&longs;t, arcum peripheriæ, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aquæ.<emph.end type="italics"/><lb/><figure id="id.035.01.122.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.122.1.jpg"/><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, & <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi­<lb/>gationis, & in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal­<lb/>mulæ B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. <!-- KEEP S--></s> |
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| <s id="id.001319">Et quidem cum anguli qui ad E &longs;int &longs;emper <lb/>æquales prop. | <s id="id.001319">Et quidem cum anguli qui ad E &longs;int &longs;emper <lb/>æquales prop. |
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| <s id="id.001323">E&longs;t enim A F maior quam A D axiom. </s> | <s id="id.001323">E&longs;t enim A F maior quam A D axiom. </s> |
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| <s id="id.001324">9. quæ demon&longs;trata e&longs;t<emph.end type="italics"/><pb pagenum="84"/><figure id="fig31"/><lb/><emph type="italics"/>e&longs;&longs;e maior ip&longs;a B E: &longs;ic <lb/>etiam C &longs;calmus erit in O, <lb/>æquedi&longs;tanter cum C ab <lb/>aqua. </s> | <s id="id.001324">9. quæ demon&longs;trata e&longs;t<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.123.jpg" pagenum="84"/><figure id="id.035.01.123.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.123.1.jpg"/><lb/><emph type="italics"/>e&longs;&longs;e maior ip&longs;a B E: &longs;ic <lb/>etiam C &longs;calmus erit in O, <lb/>æquedi&longs;tanter cum C ab <lb/>aqua. </s> |
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| <s id="id.001325">quod fieri oportet in <lb/>artificio&longs;a & pro&longs;pera na­<lb/>uigatione. </s> | <s id="id.001325">quod fieri oportet in <lb/>artificio&longs;a & pro&longs;pera na­<lb/>uigatione. </s> |
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| <s id="id.001333"><emph type="italics"/>Alterum e&longs;t &longs;calmum bi&longs;&longs;ecare remum.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001333"><emph type="italics"/>Alterum e&longs;t &longs;calmum bi&longs;&longs;ecare remum.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001334"><emph type="italics"/>In&longs;uper Nonius a&longs;&longs;erit nauim interdum maius &longs;patium percurrere:<emph.end type="italics"/><lb/><figure id="fig32"/><lb/><emph type="italics"/>quam caput remi: interdum minus, iuxta <lb/>remigum vires, & provt mariremi pal­<lb/>mula immer&longs;a fuerit: Quæ omnia vt con­<lb/>&longs;picua fiant, demon&longs;trat quinque <expan abbr="&longs;equ&etilde;tes">&longs;equentes</expan> <lb/>propo&longs;itiones.<emph.end type="italics"/></s></p><p type="head"> | <s id="id.001334"><emph type="italics"/>In&longs;uper Nonius a&longs;&longs;erit nauim interdum maius &longs;patium percurrere:<emph.end type="italics"/><lb/><figure id="id.035.01.123.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.123.2.jpg"/><lb/><emph type="italics"/>quam caput remi: interdum minus, iuxta <lb/>remigum vires, & provt mariremi pal­<lb/>mula immer&longs;a fuerit: Quæ omnia vt con­<lb/>&longs;picua fiant, demon&longs;trat quinque <expan abbr="&longs;equ&etilde;tes">&longs;equentes</expan> <lb/>propo&longs;itiones.<emph.end type="italics"/></s></p><p type="head"> |
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| <s id="id.001335">Propo&longs;itio prima.</s></p><p type="main"> | <s id="id.001335">Propo&longs;itio prima.</s></p><p type="main"> |
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| <s id="id.001336"><emph type="italics"/>Remigibus nauim mouere potentibus <lb/>caput remi plus antror&longs;um mouetur: <expan abbr="quã">quam</expan> <lb/>nauis. </s> | <s id="id.001336"><emph type="italics"/>Remigibus nauim mouere potentibus <lb/>caput remi plus antror&longs;um mouetur: <expan abbr="quã">quam</expan> <lb/>nauis. </s> |
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| <s id="id.001337">Sit remus A C, caput A, &longs;cal­<lb/>mus B, qui propter nauis motum percur­<lb/>rat &longs;patium, quod e&longs;t à B in D, in quo <lb/>loco remus A C &longs;itum rectitudinis ha­<lb/>beat E F: & &longs;ic &longs;patium quod A con­<lb/>ficit curua &longs;it linea A E, cui recta linea <lb/>A E re&longs;pondeat in rectam E F perpen-<emph.end type="italics"/><pb pagenum="85"/><emph type="italics"/>dicularis. </s> | <s id="id.001337">Sit remus A C, caput A, &longs;cal­<lb/>mus B, qui propter nauis motum percur­<lb/>rat &longs;patium, quod e&longs;t à B in D, in quo <lb/>loco remus A C &longs;itum rectitudinis ha­<lb/>beat E F: & &longs;ic &longs;patium quod A con­<lb/>ficit curua &longs;it linea A E, cui recta linea <lb/>A E re&longs;pondeat in rectam E F perpen-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.124.jpg" pagenum="85"/><emph type="italics"/>dicularis. </s> |
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| <s id="id.001338">Nauis vero idem interuallum conficiet quod &longs;calmus B. <lb/></s> | <s id="id.001338">Nauis vero idem interuallum conficiet quod &longs;calmus B. <lb/></s> |
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| <s id="id.001343">Itaque caput remi A maius <lb/>percurrit &longs;patium: quam nauis. </s> | <s id="id.001343">Itaque caput remi A maius <lb/>percurrit &longs;patium: quam nauis. </s> |
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| <s id="id.001344">quod erat demon&longs;trandum.<emph.end type="italics"/></s></p><figure/><p type="main"> | <s id="id.001344">quod erat demon&longs;trandum.<emph.end type="italics"/></s></p><figure id="id.035.01.124.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.124.1.jpg"/><p type="main"> |
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| <s id="id.001345"><emph type="italics"/>Quod &longs;i per punctum B rectam duca­<lb/>mus H K æqualem remo, & ad rectos <lb/>cum recta B D, & in&longs;uper &longs;ecantem A<emph.end type="italics"/><lb/>3 <emph type="italics"/>in puncto I, manife&longs;tè intelligemus <lb/>ip&longs;am rectam A E (quæ e&longs;t totus motus <lb/>capitis remi in vna remigatione) con&longs;tare <lb/>ex A I, & I E, quarum prior re&longs;pon­<lb/>det curuæ A H de&longs;criptæ per capitis remi <lb/>motum proprium: po&longs;terior vero æqualis <lb/>e&longs;trectæ B D (&longs;unt enim latera parallelo­<lb/>grammi oppo&longs;ita prop. | <s id="id.001345"><emph type="italics"/>Quod &longs;i per punctum B rectam duca­<lb/>mus H K æqualem remo, & ad rectos <lb/>cum recta B D, & in&longs;uper &longs;ecantem A<emph.end type="italics"/><lb/>3 <emph type="italics"/>in puncto I, manife&longs;tè intelligemus <lb/>ip&longs;am rectam A E (quæ e&longs;t totus motus <lb/>capitis remi in vna remigatione) con&longs;tare <lb/>ex A I, & I E, quarum prior re&longs;pon­<lb/>det curuæ A H de&longs;criptæ per capitis remi <lb/>motum proprium: po&longs;terior vero æqualis <lb/>e&longs;trectæ B D (&longs;unt enim latera parallelo­<lb/>grammi oppo&longs;ita prop. |
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| <s id="id.001347">quia ad <lb/>&longs;equentia etiam vtile e&longs;t.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001347">quia ad <lb/>&longs;equentia etiam vtile e&longs;t.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001348"><emph type="italics"/>Ante remigationem remi existentis in &longs;calmo B &longs;it nauis prora C <lb/>po&longs;t remigationem &longs;it B<emph.end type="italics"/><lb/><figure id="fig33"/><lb/><emph type="italics"/>in E & prora in D &longs;ic­<lb/>que C D erit nauis pro­<lb/>motio, & B E &longs;calmi. <lb/></s> | <s id="id.001348"><emph type="italics"/>Ante remigationem remi existentis in &longs;calmo B &longs;it nauis prora C <lb/>po&longs;t remigationem &longs;it B<emph.end type="italics"/><lb/><figure id="id.035.01.124.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.124.2.jpg"/><lb/><emph type="italics"/>in E & prora in D &longs;ic­<lb/>que C D erit nauis pro­<lb/>motio, & B E &longs;calmi. <lb/></s> |
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| <s id="id.001349">Dico igitur C D & B E æquales, quia reliquæ &longs;unt ex æqualibus <lb/>B C, E D dempto communi E C axio. </s> | <s id="id.001349">Dico igitur C D & B E æquales, quia reliquæ &longs;unt ex æqualibus <lb/>B C, E D dempto communi E C axio. </s> |
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| <s id="id.001351">Propo&longs;itio &longs;ecunda.</s></p><p type="main"> | <s id="id.001351">Propo&longs;itio &longs;ecunda.</s></p><p type="main"> |
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| <s id="id.001352"><emph type="italics"/>Capite remi motu proprio, & naui æqualiter motis, palmula im­<lb/>mota veluti centrum manet: & palmula immota, caput remi & <lb/>nauis æqualiter mota &longs;unt.<emph.end type="italics"/></s></p><pb pagenum="86"/><figure/><p type="main"> | <s id="id.001352"><emph type="italics"/>Capite remi motu proprio, & naui æqualiter motis, palmula im­<lb/>mota veluti centrum manet: & palmula immota, caput remi & <lb/>nauis æqualiter mota &longs;unt.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.125.jpg" pagenum="86"/><figure id="id.035.01.125.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.125.1.jpg"/><p type="main"> |
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| <s id="id.001353"><emph type="italics"/>Remus in principio motus habeat <lb/>po&longs;itionem A B C, ducaturque per <lb/>punctum C, in quo remi palmula <lb/>recta C G rectos efficiens angulos <lb/>in puncto G cum recta per quam ad <lb/>motum nauis &longs;calmus B mouetur. </s> | <s id="id.001353"><emph type="italics"/>Remus in principio motus habeat <lb/>po&longs;itionem A B C, ducaturque per <lb/>punctum C, in quo remi palmula <lb/>recta C G rectos efficiens angulos <lb/>in puncto G cum recta per quam ad <lb/>motum nauis &longs;calmus B mouetur. </s> |
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| <s id="id.001366">vbi etiam aduertes lector ex hoc dia­<lb/>grammate Nonÿ & cæteris lineam A L E à capite remi in hac <lb/>remigatione de&longs;criptam, non e&longs;&longs;e &longs;implicem arcum: &longs;ed duos, vnum <lb/>A L ex motu proprio remi circa B centrum: alterum L E ex motu <lb/>con&longs;equente &longs;calmi B motum. </s> | <s id="id.001366">vbi etiam aduertes lector ex hoc dia­<lb/>grammate Nonÿ & cæteris lineam A L E à capite remi in hac <lb/>remigatione de&longs;criptam, non e&longs;&longs;e &longs;implicem arcum: &longs;ed duos, vnum <lb/>A L ex motu proprio remi circa B centrum: alterum L E ex motu <lb/>con&longs;equente &longs;calmi B motum. </s> |
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| <s id="id.001367">quod pulchrè con&longs;entit cum his quæ<emph.end type="italics"/><pb pagenum="87"/><emph type="italics"/>untè diximus de remi in vna remigatione varijs motibus.<emph.end type="italics"/></s></p><p type="head"> | <s id="id.001367">quod pulchrè con&longs;entit cum his quæ<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.126.jpg" pagenum="87"/><emph type="italics"/>untè diximus de remi in vna remigatione varijs motibus.<emph.end type="italics"/></s></p><p type="head"> |
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| <s id="id.001368">Propo&longs;itionis conuer&longs;io</s></p><p type="main"> | <s id="id.001368">Propo&longs;itionis conuer&longs;io</s></p><p type="main"> |
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| <s id="id.001373">Propo&longs;itio tertia.</s></p><p type="main"> | <s id="id.001373">Propo&longs;itio tertia.</s></p><p type="main"> |
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| <s id="id.001374"><emph type="italics"/>Capite remi proprio motu conficiente &longs;patium duplum &longs;patÿ nauis: <lb/>tunc nauis tantùm promouebitur, quantùm palmula retrocedet.<emph.end type="italics"/></s></p><figure/><p type="main"> | <s id="id.001374"><emph type="italics"/>Capite remi proprio motu conficiente &longs;patium duplum &longs;patÿ nauis: <lb/>tunc nauis tantùm promouebitur, quantùm palmula retrocedet.<emph.end type="italics"/></s></p><figure id="id.035.01.126.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.126.1.jpg"/><p type="main"> |
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| <s id="id.001375"><emph type="italics"/>Remus incipiente motu &longs;it A C, <lb/>de&longs;inente vero habeat rectitudinis <lb/>&longs;itum F G. <!-- KEEP S--></s> | <s id="id.001375"><emph type="italics"/>Remus incipiente motu &longs;it A C, <lb/>de&longs;inente vero habeat rectitudinis <lb/>&longs;itum F G. <!-- KEEP S--></s> |
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| <s id="id.001386">igi­<lb/>tur &longs;i caput remi motu proprio duplum confecerit ip&longs;ius nauis inter­<lb/>ualli, tantùm prouehetur nauis: quantùm palmula retrocedet. </s> | <s id="id.001386">igi­<lb/>tur &longs;i caput remi motu proprio duplum confecerit ip&longs;ius nauis inter­<lb/>ualli, tantùm prouehetur nauis: quantùm palmula retrocedet. </s> |
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| <s id="id.001387">quod <lb/>demon&longs;trandum erat.<emph.end type="italics"/></s></p><pb pagenum="88"/><p type="head"> | <s id="id.001387">quod <lb/>demon&longs;trandum erat.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.127.jpg" pagenum="88"/><p type="head"> |
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| <s id="id.001388">Propo&longs;itionis conuer&longs;io.</s></p><p type="main"> | <s id="id.001388">Propo&longs;itionis conuer&longs;io.</s></p><p type="main"> |
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| <s id="id.001410">Corollarium.<!-- KEEP S--></s></p><p type="main"> | <s id="id.001410">Corollarium.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.001411"><emph type="italics"/>Hinc & ex præcedenti infertur, quod &longs;i caput remi motu pro­<lb/>prio decurrat interuallum maius, quam nauis, &longs;iue duplum, &longs;iue du­<lb/>plo minus, &longs;iue maius: &longs;emper interuallum nauis adiuncto ei quod <lb/>palmula retroce&longs;&longs;erit, æquale erit ei, quod à capite remi motu proprio <lb/>conficitur.<emph.end type="italics"/></s></p><pb pagenum="89"/><p type="main"> | <s id="id.001411"><emph type="italics"/>Hinc & ex præcedenti infertur, quod &longs;i caput remi motu pro­<lb/>prio decurrat interuallum maius, quam nauis, &longs;iue duplum, &longs;iue du­<lb/>plo minus, &longs;iue maius: &longs;emper interuallum nauis adiuncto ei quod <lb/>palmula retroce&longs;&longs;erit, æquale erit ei, quod à capite remi motu proprio <lb/>conficitur.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.128.jpg" pagenum="89"/><p type="main"> |
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| <s id="id.001412"><emph type="italics"/>Semper enim B D æqualis e&longs;t H E: tota vero C E quæ æqua­<lb/>lis e&longs;t A E ex&longs;uis con&longs;tabit partibus C H, H E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> | <s id="id.001412"><emph type="italics"/>Semper enim B D æqualis e&longs;t H E: tota vero C E quæ æqua­<lb/>lis e&longs;t A E ex&longs;uis con&longs;tabit partibus C H, H E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> |
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| <s id="id.001416">Propo&longs;itio quinta.</s></p><p type="main"> | <s id="id.001416">Propo&longs;itio quinta.</s></p><p type="main"> |
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| <s id="id.001417"><emph type="italics"/>Naui celerius mota quam caput remi: palmula antror&longs;um moue­<lb/>bitur, nec quicquam retrocedet, idque &longs;patÿ decurret quo nauis motus <lb/>motum capitis remi &longs;uperat.<emph.end type="italics"/></s></p><figure/><p type="main"> | <s id="id.001417"><emph type="italics"/>Naui celerius mota quam caput remi: palmula antror&longs;um moue­<lb/>bitur, nec quicquam retrocedet, idque &longs;patÿ decurret quo nauis motus <lb/>motum capitis remi &longs;uperat.<emph.end type="italics"/></s></p><figure id="id.035.01.128.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.128.1.jpg"/><p type="main"> |
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| <s id="id.001418"><emph type="italics"/>Habeat remus inci­<lb/>piente motu po&longs;itionem <lb/>A C: de&longs;inente vero <lb/><expan abbr="&longs;itũ">&longs;itum</expan> rectitudinis F G. <lb/><!-- KEEP S--></s> | <s id="id.001418"><emph type="italics"/>Habeat remus inci­<lb/>piente motu po&longs;itionem <lb/>A C: de&longs;inente vero <lb/><expan abbr="&longs;itũ">&longs;itum</expan> rectitudinis F G. <lb/><!-- KEEP S--></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 E C ex E K. <!-- KEEP S--></s> | <s id="id.001429">Imo vero in vlte­<lb/>riora progredietur, interuallumque decurret C K, quod quidem re­<lb/>linquitur, detracto E C ex E K. <!-- KEEP S--></s> |
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| <s id="id.001430">Si enim remi palmula tota ip&longs;a<emph.end type="italics"/><pb pagenum="90"/><emph type="italics"/>nauigÿ 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"/>nauigÿ 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.001431">Sic igitur palmulæ celeritate, quæ à motu nauigÿ prouenit, re­<lb/>tardata, decur&longs;um interuallum erit C K. <!-- KEEP S--></s> | <s id="id.001431">Sic igitur palmulæ celeritate, quæ à motu nauigÿ prouenit, re­<lb/>tardata, decur&longs;um interuallum erit C K. <!-- KEEP S--></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 pagenum="91"/><gap/><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="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"/><gap/><lb/>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.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="eo-demq;">eo­<lb/>demque</expan> <expan abbr="v&etilde;to">vento</expan>? </s> |
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| <s id="id.001458">An quia malus <pb pagenum="92"/><gap/><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"/><gap/><lb/>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.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/s<gap/>omos,</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="greek">e)po/s<gap/>omos,</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"><gap/>iar/mduos,</foreign> <emph type="italics"/>Antigoni dicta, quæ tria vela haberet<emph.end type="italics"/><pb 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="greek"><gap/>iar/mduos,</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.001487"><emph type="italics"/>Eadem de hoc problemate fuit Vitruuÿ <expan abbr="&longs;ent&etilde;tia">&longs;ententia</expan> his verbis expre&longs;&longs;a. <lb/></s> | <s id="id.001487"><emph type="italics"/>Eadem de hoc problemate fuit Vitruuÿ <expan abbr="&longs;ent&etilde;tia">&longs;ententia</expan> his verbis expre&longs;&longs;a. <lb/></s> |
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| <s id="id.001488">Nauis onerariæ vela cum &longs;int per altitudinem mediam mali penden­<lb/>tia, non pote&longs;t habere nauis celerem cur&longs;um: cum autem in &longs;ummo<emph.end type="italics"/><pb pagenum="94"/><emph type="italics"/>cacumine antemnæ &longs;ubductæ &longs;unt, tunc vehementiori progreditur <lb/>impetu, quod non proxime calcem mali, quæ e&longs;t loco centri: &longs;ed in <lb/>&longs;ummo longius, & ab eo progre&longs;&longs;a recipiunt in &longs;e vela ventum. </s> | <s id="id.001488">Nauis onerariæ vela cum &longs;int per altitudinem mediam mali penden­<lb/>tia, non pote&longs;t habere nauis celerem cur&longs;um: cum autem in &longs;ummo<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.133.jpg" pagenum="94"/><emph type="italics"/>cacumine antemnæ &longs;ubductæ &longs;unt, tunc vehementiori progreditur <lb/>impetu, quod non proxime calcem mali, quæ e&longs;t loco centri: &longs;ed in <lb/>&longs;ummo longius, & ab eo progre&longs;&longs;a recipiunt in &longs;e vela ventum. </s> |
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| <s id="id.001489">Ita­<lb/>que vti vectis &longs;ub onere &longs;ubiectus, &longs;i per medium premitur, durior e&longs;t <lb/>neque incumbit. </s> | <s id="id.001489">Ita­<lb/>que vti vectis &longs;ub onere &longs;ubiectus, &longs;i per medium premitur, durior e&longs;t <lb/>neque incumbit. </s> |
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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 pagenum="95"/><gap/><lb/><expan abbr="cũ">cum</expan> pauc^{9} 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"/><gap/><lb/><expan abbr="cũ">cum</expan> pauc^{9} 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.001525">Aut enim<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001525">Aut enim<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001526"><arrow.to.target n="marg25"/><pb pagenum="96"/><emph type="italics"/>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">w_<gap/>/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek"><gap/>\ 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">w_<gap/>/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib. | <s id="id.001526"><arrow.to.target n="marg25"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.135.jpg" pagenum="96"/><emph type="italics"/>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">w_<gap/>/tonoi</foreign>: <emph type="italics"/>aut conuertitur & laxatur, hi <lb/>&longs;unt<emph.end type="italics"/> <foreign lang="greek"><gap/>\ 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">w_<gap/>/podes</foreign> <emph type="italics"/>quo &longs;en&longs;u dixi&longs;&longs;e Plinius videtur lib. |
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| 2. cap. | 2. cap. |
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| <s id="id.001539">Atque illum præceps prono rapit alueus amne.</s></p><p type="main"> | <s id="id.001539">Atque illum præceps prono rapit alueus amne.</s></p><p type="main"> |
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| <s id="id.001540"><emph type="italics"/>Inter hos duo &longs;unt medÿ, vnus tran&longs;uer&longs;us ad latera nauis perpendi­<lb/>culariter incidens: alter obliquus <lb/><figure id="fig34"/><lb/>qui medius e&longs;t inter &longs;ecundum & <lb/>tran&longs;uer&longs;um, velinter aduer&longs;um & <lb/>tran&longs;uer&longs;um. </s> | <s id="id.001540"><emph type="italics"/>Inter hos duo &longs;unt medÿ, vnus tran&longs;uer&longs;us ad latera nauis perpendi­<lb/>culariter incidens: alter obliquus <lb/><figure id="id.035.01.135.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.135.1.jpg"/><lb/>qui medius e&longs;t inter &longs;ecundum & <lb/>tran&longs;uer&longs;um, velinter aduer&longs;um & <lb/>tran&longs;uer&longs;um. </s> |
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| <s id="id.001541">Vt e&longs;to nauis G H, <lb/>& prora &longs;it G puppis H, ventus <lb/>ex B &longs;ecundus erit, ex A aduer­<lb/>&longs;us, ex C vel D tran&longs;uer&longs;us, ex E <lb/>vel F obliquus. </s> | <s id="id.001541">Vt e&longs;to nauis G H, <lb/>& prora &longs;it G puppis H, ventus <lb/>ex B &longs;ecundus erit, ex A aduer­<lb/>&longs;us, ex C vel D tran&longs;uer&longs;us, ex E <lb/>vel F obliquus. </s> |
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| <s id="id.001542">Horum autem mo­<lb/>tuum Galenus obliquos per pulchrè<emph.end type="italics"/><pb pagenum="97"/><emph type="italics"/>declarauit &longs;umpta primùm hac propo&longs;itione. </s> | <s id="id.001542">Horum autem mo­<lb/>tuum Galenus obliquos per pulchrè<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.136.jpg" pagenum="97"/><emph type="italics"/>declarauit &longs;umpta primùm hac propo&longs;itione. </s> |
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| <s id="id.001543">In vniuer&longs;um quando <lb/>à duobus motibus ex tran&longs;uer&longs;o &longs;ibi inuicem occurrentibus trahitur <lb/>corpus, &longs;i multò quidem &longs;upereminet alter, nece&longs;&longs;arium e&longs;t ob&longs;curari, <lb/>di&longs;pareréue reliquum: pauca verò cum e&longs;t exuperantia alterius: aut <lb/>ambo æqualiter po&longs;&longs;unt, mixtum ex vtri&longs;que fieri eum corporis mo­<lb/>tum oportet. </s> | <s id="id.001543">In vniuer&longs;um quando <lb/>à duobus motibus ex tran&longs;uer&longs;o &longs;ibi inuicem occurrentibus trahitur <lb/>corpus, &longs;i multò quidem &longs;upereminet alter, nece&longs;&longs;arium e&longs;t ob&longs;curari, <lb/>di&longs;pareréue reliquum: pauca verò cum e&longs;t exuperantia alterius: aut <lb/>ambo æqualiter po&longs;&longs;unt, mixtum ex vtri&longs;que fieri eum corporis mo­<lb/>tum oportet. </s> |
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| <s id="id.001563">I deo <expan abbr="cũ">cum</expan> <lb/>& &longs;ufficiat gubernaculum auertere atque propellere mare, vocatis <lb/>ad id in auxilium, &longs;i opus e&longs;t, nautis in contrariam vento partem ni­<lb/>tentibus, fit vt ex obliquo vel tran&longs;uer&longs;o vento feratur nauis. </s> | <s id="id.001563">I deo <expan abbr="cũ">cum</expan> <lb/>& &longs;ufficiat gubernaculum auertere atque propellere mare, vocatis <lb/>ad id in auxilium, &longs;i opus e&longs;t, nautis in contrariam vento partem ni­<lb/>tentibus, fit vt ex obliquo vel tran&longs;uer&longs;o vento feratur nauis. </s> |
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| <s id="id.001564">Sic<emph.end type="italics"/><pb pagenum="98"/><emph type="italics"/>enim quantum ventus exempli gratia dextror&longs;um propellit nauim: <lb/>tantum vi &longs;ua gubernaculum cum nautis &longs;ini&longs;tror&longs;um illam tor­<lb/>quet, ac tapit. </s> | <s id="id.001564">Sic<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.137.jpg" pagenum="98"/><emph type="italics"/>enim quantum ventus exempli gratia dextror&longs;um propellit nauim: <lb/>tantum vi &longs;ua gubernaculum cum nautis &longs;ini&longs;tror&longs;um illam tor­<lb/>quet, ac tapit. </s> |
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| <s id="id.001565">Et ita neutra ex contrarÿs viribus præualente, eò fer­<lb/>tur nauis, quò vult gubernator, etiam&longs;i ventus minime &longs;ecundus &longs;it.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001565">Et ita neutra ex contrarÿs viribus præualente, eò fer­<lb/>tur nauis, quò vult gubernator, etiam&longs;i ventus minime &longs;ecundus &longs;it.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001567">Ii&longs;dem <lb/>ventis in contrarium nauigatur prolatis pedibus (hi &longs;unt funes de <lb/>quibus ante) vt noctu plerumque vela concurrant. </s> | <s id="id.001567">Ii&longs;dem <lb/>ventis in contrarium nauigatur prolatis pedibus (hi &longs;unt funes de <lb/>quibus ante) vt noctu plerumque vela concurrant. </s> |
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| <s id="id.001568">Hoc autem vt <lb/>fiat geometricè demon&longs;tratur.<emph.end type="italics"/></s></p><figure/><p type="main"> | <s id="id.001568">Hoc autem vt <lb/>fiat geometricè demon&longs;tratur.<emph.end type="italics"/></s></p><figure id="id.035.01.137.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.137.1.jpg"/><p type="main"> |
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| <s id="id.001569"><emph type="italics"/>Sint naues A tendens ad G, & B tendens ad H. ventus ex <lb/>C recta feratur ad D, tanquam ad centrum. </s> | <s id="id.001569"><emph type="italics"/>Sint naues A tendens ad G, & B tendens ad H. ventus ex <lb/>C recta feratur ad D, tanquam ad centrum. </s> |
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| <s id="id.001573">Neuter enim cum &longs;uo impul&longs;u præualeat, medium teneat A G ne­<lb/>ce&longs;&longs;e e&longs;t, quod &longs;i ventus præualet, adiungitur remigum renixus, qui <lb/>&longs;i non &longs;atis &longs;it, vento cedendum, aut anchora iacienda. </s> | <s id="id.001573">Neuter enim cum &longs;uo impul&longs;u præualeat, medium teneat A G ne­<lb/>ce&longs;&longs;e e&longs;t, quod &longs;i ventus præualet, adiungitur remigum renixus, qui <lb/>&longs;i non &longs;atis &longs;it, vento cedendum, aut anchora iacienda. </s> |
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| <s id="id.001574">Tum autem <lb/>vix remiges re&longs;i&longs;tunt, <expan abbr="cũ">cum</expan> nauis e&longs;t in centro, vel radio perpendicula­<lb/>ri venti, quo in loco propter vim venti maiorem, & anguli per te-<emph.end type="italics"/><pb pagenum="99"/><emph type="italics"/>monem faciendi magnitudinem, vt qui rectum æquare debeat, dif­<lb/>ficillimè ad locum de&longs;tinatum dirigitur: at quantò fuerit remotior <lb/>à puncto D, velocius & facilius feretur, quia ventus rectius tan­<lb/>get puppim, minor enim erit &longs;emper angulus per temonem facien­<lb/>dus, vt intelligitur ex G P Q minore: quam G A E, & G I <lb/>M minore: quam G P <expan abbr="q.">que</expan> Sunt enim duo C A G & G A E, <lb/>quia facti à recta G A in rectam C E duobus rectis æquales <lb/>prop. | <s id="id.001574">Tum autem <lb/>vix remiges re&longs;i&longs;tunt, <expan abbr="cũ">cum</expan> nauis e&longs;t in centro, vel radio perpendicula­<lb/>ri venti, quo in loco propter vim venti maiorem, & anguli per te-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.138.jpg" pagenum="99"/><emph type="italics"/>monem faciendi magnitudinem, vt qui rectum æquare debeat, dif­<lb/>ficillimè ad locum de&longs;tinatum dirigitur: at quantò fuerit remotior <lb/>à puncto D, velocius & facilius feretur, quia ventus rectius tan­<lb/>get puppim, minor enim erit &longs;emper angulus per temonem facien­<lb/>dus, vt intelligitur ex G P Q minore: quam G A E, & G I <lb/>M minore: quam G P <expan abbr="q.">que</expan> Sunt enim duo C A G & G A E, <lb/>quia facti à recta G A in rectam C E duobus rectis æquales <lb/>prop. |
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| 13. lib. | 13. lib. |
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| <s id="id.001585">Di&longs;tat enim angul^{9} à terra. <lb/></s> | <s id="id.001585">Di&longs;tat enim angul^{9} à terra. <lb/></s> |
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| <s id="id.001586">Et hoc <expan abbr="etiã">etiam</expan> cui occur&longs;ant, <pb pagenum="100"/><gap/><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"/><gap/><lb/>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.001601">Facilius autem cir­<lb/>cumuerti ur: quam trahatur, itaque procedit. </s> | <s id="id.001601">Facilius autem cir­<lb/>cumuerti ur: quam trahatur, itaque procedit. </s> |
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| <s id="id.001602">Et &longs;ic ibi quidem rota <lb/>ex circumferentia, quam ab&longs;idem hîc appellat, mouetur: &longs;ed ab axe<emph.end type="italics"/><pb pagenum="101"/><emph type="italics"/>initium e&longs;t motus. </s> | <s id="id.001602">Et &longs;ic ibi quidem rota <lb/>ex circumferentia, quam ab&longs;idem hîc appellat, mouetur: &longs;ed ab axe<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.140.jpg" pagenum="101"/><emph type="italics"/>initium e&longs;t motus. </s> |
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| <s id="id.001603">Plurimum itaque confert ad motus facilitatem, <lb/>vt tum axis, tum rota intus &longs;int læuißima, vnde aurigæ axungia <lb/>(quæ inde nomen traxit) ip&longs;a inungunt.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001603">Plurimum itaque confert ad motus facilitatem, <lb/>vt tum axis, tum rota intus &longs;int læuißima, vnde aurigæ axungia <lb/>(quæ inde nomen traxit) ip&longs;a inungunt.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001617">Atque vt ibi vi retineatur, eò tamen quodam motu occulro <lb/>tendit, vt graue deor&longs;um, leue &longs;ur&longs;um, & &longs;emper &longs;ecundum rectam <lb/>perpendicularem in qua e&longs;t centrum grauitatis mobilis: aliò nun­<lb/>quam, ni&longs;i vi contraria nixus ille vincatur, vt cum graue &longs;ur&longs;um: <lb/>aut leue deor&longs;um: aut vtrumque ad latera propellitur. </s> | <s id="id.001617">Atque vt ibi vi retineatur, eò tamen quodam motu occulro <lb/>tendit, vt graue deor&longs;um, leue &longs;ur&longs;um, & &longs;emper &longs;ecundum rectam <lb/>perpendicularem in qua e&longs;t centrum grauitatis mobilis: aliò nun­<lb/>quam, ni&longs;i vi contraria nixus ille vincatur, vt cum graue &longs;ur&longs;um: <lb/>aut leue deor&longs;um: aut vtrumque ad latera propellitur. </s> |
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| <s id="id.001618">Itaque prima<emph.end type="italics"/><pb pagenum="102"/><emph type="italics"/>difficultas in <expan abbr="viol&etilde;tis">violentis</expan> pendet è renixu. </s> | <s id="id.001618">Itaque prima<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.141.jpg" pagenum="102"/><emph type="italics"/>difficultas in <expan abbr="viol&etilde;tis">violentis</expan> pendet è renixu. </s> |
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| <s id="id.001619">Externa vero &longs;unt <expan abbr="&longs;ubiectũ">&longs;ubiectum</expan>, <lb/>& occur&longs;ans, & mobilis figura. </s> | <s id="id.001619">Externa vero &longs;unt <expan abbr="&longs;ubiectũ">&longs;ubiectum</expan>, <lb/>& occur&longs;ans, & mobilis figura. </s> |
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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="fig35"/><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;ina­<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="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;ina­<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"/><!-- KEEP S--></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"/><!-- KEEP S--></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 pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten-<emph.end type="italics"/><lb/><figure id="fig36"/><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u­<lb/>perficie E D <lb/>nixu naturali <lb/>coniunctæ. </s> | <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/>perficie E D <lb/>nixu naturali <lb/>coniunctæ. </s> |
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| <s id="id.001634">Tot <lb/>vires nullo <expan abbr="t&etilde;-poris">ten­<lb/>poris</expan> momento alio inclinantes &longs;e à &longs;uo &longs;tatu dimoueri &longs;inent: medio <lb/>etiam obuio &longs;eu aëre, &longs;eu aqua totidem ad latus punctis propter æqua­<lb/>litatem &longs;uperficierum impediente. </s> | <s id="id.001634">Tot <lb/>vires nullo <expan abbr="t&etilde;-poris">ten­<lb/>poris</expan> momento alio inclinantes &longs;e à &longs;uo &longs;tatu dimoueri &longs;inent: medio <lb/>etiam obuio &longs;eu aëre, &longs;eu aqua totidem ad latus punctis propter æqua­<lb/>litatem &longs;uperficierum impediente. </s> |
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| <s id="id.001640">hinc te&longs;&longs;erarum talorumque in alueo per hanc <lb/><expan abbr="figurã">figuram</expan> planum vnum pro vertice, & planum vnum pro ba&longs;i &longs;emper <lb/><expan abbr="&longs;eruant&etilde;">&longs;eruantem</expan> ludus. </s> | <s id="id.001640">hinc te&longs;&longs;erarum talorumque in alueo per hanc <lb/><expan abbr="figurã">figuram</expan> planum vnum pro vertice, & planum vnum pro ba&longs;i &longs;emper <lb/><expan abbr="&longs;eruant&etilde;">&longs;eruantem</expan> ludus. </s> |
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| <s id="id.001641">Sed hîc non immeritò<emph.end type="italics"/><lb/><figure id="fig37"/><lb/><emph type="italics"/>quæri pote&longs;t. </s> | <s id="id.001641">Sed hîc non immeritò<emph.end type="italics"/><lb/><figure id="id.035.01.142.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.142.2.jpg"/><lb/><emph type="italics"/>quæri pote&longs;t. </s> |
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| <s id="id.001642">cur terræ &longs;tare debenti na­<lb/>tura figuram attribuit &longs;phæricam, vt <lb/><expan abbr="doc&etilde;t">docent</expan> a&longs;tronomi. </s> | <s id="id.001642">cur terræ &longs;tare debenti na­<lb/>tura figuram attribuit &longs;phæricam, vt <lb/><expan abbr="doc&etilde;t">docent</expan> a&longs;tronomi. </s> |
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| <s id="id.001643">vnum enim e&longs;t ex <expan abbr="ar-gum&etilde;tis">ar­<lb/>gumentis</expan> Copernici terram moueri pro­<lb/>bare volentis. </s> | <s id="id.001643">vnum enim e&longs;t ex <expan abbr="ar-gum&etilde;tis">ar­<lb/>gumentis</expan> Copernici terram moueri pro­<lb/>bare volentis. </s> |
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| <s id="id.001644">Sed id nullum locum ha­<lb/>bet, quia quæ hactenus dicta &longs;unt im­<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurarũ">figurarum</expan> in <lb/>plano <expan abbr="nõ">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili & <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="fig38"/><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tentiũ">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rotũdæ">rotundæ</expan> exi&longs;ten­<lb/>tis æquabilius coniuncto nixu ad cen­<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figuræ. </s> | <s id="id.001644">Sed id nullum locum ha­<lb/>bet, quia quæ hactenus dicta &longs;unt im­<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurarũ">figurarum</expan> in <lb/>plano <expan abbr="nõ">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili & <expan abbr="cõ-">con-</expan><emph.end type="italics"/><lb/><figure id="id.035.01.142.3.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.142.3.jpg"/><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tentiũ">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rotũdæ">rotundæ</expan> exi&longs;ten­<lb/>tis æquabilius coniuncto nixu ad cen­<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figuræ. </s> |
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| <s id="id.001645">Sit enim cubica <lb/>cuius centrum A & B punctum an-<emph.end type="italics"/><pb pagenum="104"/><emph type="italics"/>gulare, & ita remotius quam C laterale, non tanto nixu contendet: <lb/>quam ip&longs;um C. <!-- KEEP S--></s> | <s id="id.001645">Sit enim cubica <lb/>cuius centrum A & B punctum an-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.143.jpg" pagenum="104"/><emph type="italics"/>gulare, & ita remotius quam C laterale, non tanto nixu contendet: <lb/>quam ip&longs;um C. <!-- KEEP S--></s> |
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| <s id="id.001646">Quò enim mobile naturale propius e&longs;t, eò obnixius <lb/>incumbit. </s> | <s id="id.001646">Quò enim mobile naturale propius e&longs;t, eò obnixius <lb/>incumbit. </s> |
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| <s id="id.001663">Rationem &longs;i vis <lb/>aliquam, vide apud Scaligerum exercit. </s> | <s id="id.001663">Rationem &longs;i vis <lb/>aliquam, vide apud Scaligerum exercit. </s> |
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| <s id="id.001664">333.<emph.end type="italics"/></s></p><pb pagenum="105"/><p type="main"> | <s id="id.001664">333.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.144.jpg" pagenum="105"/><p type="main"> |
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| <s id="id.001665"><gap/></s></p><p type="main"> | <s id="id.001665"><gap/></s></p><p type="main"> |
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| <s id="id.001677">Hoc à quacun­<lb/>que vi vt or is flatu &longs;i diuidatur, &longs;phæricum in locum diui&longs;ionis pro­<lb/>mouebitur.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001677">Hoc à quacun­<lb/>que vi vt or is flatu &longs;i diuidatur, &longs;phæricum in locum diui&longs;ionis pro­<lb/>mouebitur.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001678">Rectà in&longs;i&longs;tit.] <emph type="italics"/>Diameter circuli rectà in&longs;i&longs;tere in plano di­<lb/>citur cum ad omnes rectas lineas à quibus tangitur in ip&longs;o plano<emph.end type="italics"/><pb pagenum="106"/><emph type="italics"/>rectos angulos ef-<emph.end type="italics"/><lb/><figure id="fig39"/><lb/><emph type="italics"/>ficit ex def. </s> | <s id="id.001678">Rectà in&longs;i&longs;tit.] <emph type="italics"/>Diameter circuli rectà in&longs;i&longs;tere in plano di­<lb/>citur cum ad omnes rectas lineas à quibus tangitur in ip&longs;o plano<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.145.jpg" pagenum="106"/><emph type="italics"/>rectos angulos ef-<emph.end type="italics"/><lb/><figure id="id.035.01.145.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.145.1.jpg"/><lb/><emph type="italics"/>ficit ex def. </s> |
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| <s id="id.001679">3. lib. <lb/><!-- REMOVE S-->11. vt A B dia­<lb/>meter ad B O, B D, <lb/>B E, B F. <!-- KEEP S--></s> | <s id="id.001679">3. lib. <lb/><!-- REMOVE S-->11. vt A B dia­<lb/>meter ad B O, B D, <lb/>B E, B F. <!-- KEEP S--></s> |
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| <s id="id.001691">Si verò etiam circulus <lb/>nutum habet ad alterum. <lb/></s> | <s id="id.001691">Si verò etiam circulus <lb/>nutum habet ad alterum. <lb/></s> |
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| <s id="id.001692">Similiter verò facile mobi­<lb/>lis <expan abbr="aliũ">alium</expan> <expan abbr="nutũ">nutum</expan> habet circul', <lb/>& quæ à circulo <expan abbr="mou&etilde;tur">mouentur</expan>, <lb/><expan abbr="etiã&longs;i">etian&longs;i</expan> &longs;ua curuatura <expan abbr="planũ">planum</expan> <lb/><expan abbr="nõ">non</expan> <expan abbr="cõtingat">contingat</expan>: &longs;ed vel propè <lb/>planitiem, vel vt tro chleæ. <pb pagenum="107"/><gap/><lb/>Etenim quæ &longs;ic &longs;e habent, <lb/>facillimè <expan abbr="mou&etilde;tur">mouentur</expan>, & mo­<lb/>uent pondus. </s> | <s id="id.001692">Similiter verò facile mobi­<lb/>lis <expan abbr="aliũ">alium</expan> <expan abbr="nutũ">nutum</expan> habet circul', <lb/>& quæ à circulo <expan abbr="mou&etilde;tur">mouentur</expan>, <lb/><expan abbr="etiã&longs;i">etian&longs;i</expan> &longs;ua curuatura <expan abbr="planũ">planum</expan> <lb/><expan abbr="nõ">non</expan> <expan abbr="cõtingat">contingat</expan>: &longs;ed vel propè <lb/>planitiem, vel vt tro chleæ. <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.146.jpg" pagenum="107"/><gap/><lb/>Etenim quæ &longs;ic &longs;e habent, <lb/>facillimè <expan abbr="mou&etilde;tur">mouentur</expan>, & mo­<lb/>uent pondus. </s> |
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| <s id="id.001693">an non quia <lb/>parua &longs;ui parte tangunt & <lb/>offen&longs;ant. </s> | <s id="id.001693">an non quia <lb/>parua &longs;ui parte tangunt & <lb/>offen&longs;ant. </s> |
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| 15. lib. | 15. lib. |
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| 5. Diameter au­<lb/>tem maior celerius mouetur, hîc autem notandum e&longs;t angulos non<emph.end type="italics"/><pb pagenum="108"/><emph type="italics"/>&longs;umi pro inclinatione: &longs;ed pro crurum<emph.end type="italics"/><lb/><figure id="fig40"/><lb/><emph type="italics"/><expan abbr="lõgitudine">longitudine</expan>. </s> | 5. Diameter au­<lb/>tem maior celerius mouetur, hîc autem notandum e&longs;t angulos non<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.147.jpg" pagenum="108"/><emph type="italics"/>&longs;umi pro inclinatione: &longs;ed pro crurum<emph.end type="italics"/><lb/><figure id="id.035.01.147.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.147.1.jpg"/><lb/><emph type="italics"/><expan abbr="lõgitudine">longitudine</expan>. </s> |
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| <s id="id.001709">hæc autem figura hac cir­<lb/>culorum concentricorum & à cen­<lb/>tris angulorum illu&longs;trantur.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001709">hæc autem figura hac cir­<lb/>culorum concentricorum & à cen­<lb/>tris angulorum illu&longs;trantur.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001728">Et e&longs;t vt diameter.] <emph type="italics"/>Hæc analogia antea à nobis demon&longs;tra­<lb/>ra e&longs;t. </s> | <s id="id.001728">Et e&longs;t vt diameter.] <emph type="italics"/>Hæc analogia antea à nobis demon&longs;tra­<lb/>ra e&longs;t. </s> |
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| <s id="id.001729">Huc autem adducta confirmat in maioribus circulis maiorem<emph.end type="italics"/><pb pagenum="109"/><emph type="italics"/>nutum ad motum ine&longs;&longs;e: quam in minoribus. </s> | <s id="id.001729">Huc autem adducta confirmat in maioribus circulis maiorem<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.148.jpg" pagenum="109"/><emph type="italics"/>nutum ad motum ine&longs;&longs;e: quam in minoribus. </s> |
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| <s id="id.001730">Sed cum omnis circu­<lb/>lus habeat intra &longs;e infinitos concentricos, omnis peripheria nutum <lb/>habebit infinitum, & ideò perpetuum ad motum.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001730">Sed cum omnis circu­<lb/>lus habeat intra &longs;e infinitos concentricos, omnis peripheria nutum <lb/>habebit infinitum, & ideò perpetuum ad motum.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001731">Infiniti autem.] <emph type="italics"/>Quod infiniti circuli minores concentrici in­<lb/>&longs;int in quouis dato circulo &longs;ic demon&longs;trabimus. </s> | <s id="id.001731">Infiniti autem.] <emph type="italics"/>Quod infiniti circuli minores concentrici in­<lb/>&longs;int in quouis dato circulo &longs;ic demon&longs;trabimus. </s> |
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| <s id="id.001732">Sit circulus C B, <lb/>cuius &longs;emidiameter D B bifariam<emph.end type="italics"/><lb/><figure id="fig41"/><lb/><emph type="italics"/>&longs;ecetur, vt in puncto E prop. | <s id="id.001732">Sit circulus C B, <lb/>cuius &longs;emidiameter D B bifariam<emph.end type="italics"/><lb/><figure id="id.035.01.148.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.148.1.jpg"/><lb/><emph type="italics"/>&longs;ecetur, vt in puncto E prop. |
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| 10. <lb/>lib. | 10. <lb/>lib. |
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| <s id="id.001745"><gap/></s></p><p type="main"> | <s id="id.001745"><gap/></s></p><p type="main"> |
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| <s id="id.001746">Cur per maiores circu­<pb pagenum="110"/><gap/><lb/>los &longs;ublata & tracta faci­<lb/>lius mouemus, vt &longs;i tro­<lb/>chleæ &longs;int maiores minori­<lb/>bus, & &longs;cytalæ &longs;imiliter. </s> | <s id="id.001746">Cur per maiores circu­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.149.jpg" pagenum="110"/><gap/><lb/>los &longs;ublata & tracta faci­<lb/>lius mouemus, vt &longs;i tro­<lb/>chleæ &longs;int maiores minori­<lb/>bus, & &longs;cytalæ &longs;imiliter. </s> |
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| <s id="id.001747">An <lb/>quia quantò maior fuerit <lb/>radius in tempore æquali, <lb/>per maius mouetur <expan abbr="&longs;patiũ">&longs;patium</expan>. <lb/></s> | <s id="id.001747">An <lb/>quia quantò maior fuerit <lb/>radius in tempore æquali, <lb/>per maius mouetur <expan abbr="&longs;patiũ">&longs;patium</expan>. <lb/></s> |
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| <s id="id.001759"><emph type="italics"/>Ex hoc colligimus maiores rotas in curribus vna volutatione tan­<lb/>tam lineam cum conficiant: quanta orbitæ re&longs;pondet, nec maiori tra­<lb/>ctu egeant: quam minores, tantò commodiores e&longs;&longs;e ad celeritatem, & <lb/>motus facilitatem: quantò maiores extiterint. </s> | <s id="id.001759"><emph type="italics"/>Ex hoc colligimus maiores rotas in curribus vna volutatione tan­<lb/>tam lineam cum conficiant: quanta orbitæ re&longs;pondet, nec maiori tra­<lb/>ctu egeant: quam minores, tantò commodiores e&longs;&longs;e ad celeritatem, & <lb/>motus facilitatem: quantò maiores extiterint. </s> |
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| <s id="id.001760">Et cum in facili tractu <lb/>biroti onerati &longs;arcina tendere debeat ad æquilibrium, vt neque tolla­<lb/>tur de collo iugum præ pondere po&longs;teriore, neque &longs;ic prematur, vt &longs;i­<lb/>mul iumentum trahat, & ge&longs;tet: &longs;ed potius trahat: quam ge&longs;tet: in<emph.end type="italics"/><pb pagenum="111"/><emph type="italics"/>maioribus autem rotis æquilibrium illud facilius &longs;it, quia &longs;arcina al­<lb/>tior, & &longs;ictrahitur tantum: in paruis depreßior, &longs;icque nonnihil le­<lb/>uanda. </s> | <s id="id.001760">Et cum in facili tractu <lb/>biroti onerati &longs;arcina tendere debeat ad æquilibrium, vt neque tolla­<lb/>tur de collo iugum præ pondere po&longs;teriore, neque &longs;ic prematur, vt &longs;i­<lb/>mul iumentum trahat, & ge&longs;tet: &longs;ed potius trahat: quam ge&longs;tet: in<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.150.jpg" pagenum="111"/><emph type="italics"/>maioribus autem rotis æquilibrium illud facilius &longs;it, quia &longs;arcina al­<lb/>tior, & &longs;ictrahitur tantum: in paruis depreßior, &longs;icque nonnihil le­<lb/>uanda. </s> |
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| <s id="id.001761">Vbi autem &longs;u&longs;tinere & trahere opus e&longs;t, vt in bellicis tor­<lb/>mentis vnus equus iugum &longs;u&longs;tinere, alÿ loris trahere debent.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001761">Vbi autem &longs;u&longs;tinere & trahere opus e&longs;t, vt in bellicis tor­<lb/>mentis vnus equus iugum &longs;u&longs;tinere, alÿ loris trahere debent.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001779">Itaque binæ rotæ <lb/>quaternis faciliores erunt, vnde bellicis tormentis, licet immanibus <lb/>duæ &longs;atis &longs;unt. </s> | <s id="id.001779">Itaque binæ rotæ <lb/>quaternis faciliores erunt, vnde bellicis tormentis, licet immanibus <lb/>duæ &longs;atis &longs;unt. </s> |
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| <s id="id.001780">Quod autem quis obijceret per rotas plures pondus plus<emph.end type="italics"/><pb pagenum="112"/><emph type="italics"/>di&longs;tribui, & tanquam diuidi. </s> | <s id="id.001780">Quod autem quis obijceret per rotas plures pondus plus<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.151.jpg" pagenum="112"/><emph type="italics"/>di&longs;tribui, & tanquam diuidi. </s> |
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| <s id="id.001781">Id &longs;anè verum e&longs;t & vtile ad facili­<lb/>tatem &longs;u&longs;tentationis, non item ad tractum. </s> | <s id="id.001781">Id &longs;anè verum e&longs;t & vtile ad facili­<lb/>tatem &longs;u&longs;tentationis, non item ad tractum. </s> |
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| <s id="id.001800">E&longs;t autem de librili. </s> | <s id="id.001800">E&longs;t autem de librili. </s> |
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| <s id="id.001801">cur quò leuius, vel &longs;ine <lb/>pondere cum &longs;it, deprimitur facilius & mouetur: quam cum graue<emph.end type="italics"/><pb pagenum="113"/><emph type="italics"/>e&longs;t. </s> | <s id="id.001801">cur quò leuius, vel &longs;ine <lb/>pondere cum &longs;it, deprimitur facilius & mouetur: quam cum graue<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.152.jpg" pagenum="113"/><emph type="italics"/>e&longs;t. </s> |
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| <s id="id.001802">Exempli gratia vnum ligneum &longs;it, alterum ferreum, illud faci­<lb/>lius moueatur: quam hoc, quod perinde e&longs;t de vecte, de rotis, de glo­<lb/>bis, & eiu&longs;modi contra naturam motis, &longs;uppo&longs;ita eadem firmitate. <lb/></s> | <s id="id.001802">Exempli gratia vnum ligneum &longs;it, alterum ferreum, illud faci­<lb/>lius moueatur: quam hoc, quod perinde e&longs;t de vecte, de rotis, de glo­<lb/>bis, & eiu&longs;modi contra naturam motis, &longs;uppo&longs;ita eadem firmitate. <lb/></s> |
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| <s id="id.001808"><emph type="italics"/>Hinc collige ex leuiori materia facta, dummodo firma, agiliora e&longs;&longs;e, <lb/>& exactiora. </s> | <s id="id.001808"><emph type="italics"/>Hinc collige ex leuiori materia facta, dummodo firma, agiliora e&longs;&longs;e, <lb/>& exactiora. </s> |
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| <s id="id.001809">vnde petorita no&longs;tra rotis in orbita ferreis prædita <lb/>difficilius trahuntur, quam<emph.end type="italics"/><lb/><figure id="fig42"/><lb/><emph type="italics"/>nobilium Polonorum, quæ ex <lb/>ligno &longs;olo compacta &longs;unt.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001809">vnde petorita no&longs;tra rotis in orbita ferreis prædita <lb/>difficilius trahuntur, quam<emph.end type="italics"/><lb/><figure id="id.035.01.152.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.152.1.jpg"/><lb/><emph type="italics"/>nobilium Polonorum, quæ ex <lb/>ligno &longs;olo compacta &longs;unt.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001810">Non propendet.] <emph type="italics"/>Linea <lb/>nutus grauis alicuius deor­<lb/>&longs;um e&longs;t recta perpendicularis <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan> plano horizontis, <expan abbr="hãc">hanc</expan> <lb/>quæ &longs;ecat ad inæquales an­<lb/>gulos, e&longs;t obliqua, cuiu&longs;mo­<lb/>di e&longs;t arcus B F ad rectam <lb/>B G lineam nutus puncti <lb/>B.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001810">Non propendet.] <emph type="italics"/>Linea <lb/>nutus grauis alicuius deor­<lb/>&longs;um e&longs;t recta perpendicularis <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan> plano horizontis, <expan abbr="hãc">hanc</expan> <lb/>quæ &longs;ecat ad inæquales an­<lb/>gulos, e&longs;t obliqua, cuiu&longs;mo­<lb/>di e&longs;t arcus B F ad rectam <lb/>B G lineam nutus puncti <lb/>B.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001813"><gap/></s></p><p type="main"> | <s id="id.001813"><gap/></s></p><p type="main"> |
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| <s id="id.001814">Cur onera facilius ge­<lb/>&longs;tantur &longs;cytalis: quam cur­<pb pagenum="114"/><gap/><lb/>ribus etiam magnas rotas <lb/>habentibus, cum ip&longs;æ par­<lb/>uas habeant. </s> | <s id="id.001814">Cur onera facilius ge­<lb/>&longs;tantur &longs;cytalis: quam cur­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.153.jpg" pagenum="114"/><gap/><lb/>ribus etiam magnas rotas <lb/>habentibus, cum ip&longs;æ par­<lb/>uas habeant. </s> |
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| <s id="id.001815">An quia one­<lb/>ra in &longs;cytalis ad nihil offen­<lb/>&longs;ant: in curribus vero ha­<lb/>bent axem, ad quem offen­<lb/>&longs;ant. </s> | <s id="id.001815">An quia one­<lb/>ra in &longs;cytalis ad nihil offen­<lb/>&longs;ant: in curribus vero ha­<lb/>bent axem, ad quem offen­<lb/>&longs;ant. </s> |
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| <s id="id.001819">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.001819">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.001820">Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytalæ e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu­<lb/>los currui<emph.end type="italics"/><lb/><figure id="fig43"/><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi­<lb/>gura A <lb/>B quæ <lb/>mota iu­<lb/>go rotis annexo, contrà, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, & antror&longs;um. </s> | <s id="id.001820">Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytalæ e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu­<lb/>los currui<emph.end type="italics"/><lb/><figure id="id.035.01.153.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.153.1.jpg"/><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi­<lb/>gura A <lb/>B quæ <lb/>mota iu­<lb/>go rotis annexo, contrà, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, & antror&longs;um. </s> |
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| <s id="id.001821">quod cau&longs;a e&longs;t vt leuius vertatur, <lb/>quam rota in curru. </s> | <s id="id.001821">quod cau&longs;a e&longs;t vt leuius vertatur, <lb/>quam rota in curru. </s> |
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| <s id="id.001824">Supernè etiam ab onere cylindricum premente. </s> | <s id="id.001824">Supernè etiam ab onere cylindricum premente. </s> |
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| <s id="id.001825">Ob has itaque<emph.end type="italics"/><pb pagenum="115"/><emph type="italics"/>cau&longs;as &longs;cytala commodior erit, & expeditior ad onera conuehenda, <lb/>licet minores, quam currus habeat rotas, quod non repugnat ÿs quæ <lb/>ante 10. cap. | <s id="id.001825">Ob has itaque<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.154.jpg" pagenum="115"/><emph type="italics"/>cau&longs;as &longs;cytala commodior erit, & expeditior ad onera conuehenda, <lb/>licet minores, quam currus habeat rotas, quod non repugnat ÿs quæ <lb/>ante 10. cap. |
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| dicta <expan abbr="sũt">sunt</expan> derotis maioribus. </s> | dicta <expan abbr="sũt">sunt</expan> derotis maioribus. </s> |
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| <s id="id.001828">Hæc autem annexa ligno cylindrico &longs;olas rotas habet ver&longs;atiles, quæ <lb/>quantò minores, tantò minus occur&longs;ant &longs;ubiecto pauimento. </s> | <s id="id.001828">Hæc autem annexa ligno cylindrico &longs;olas rotas habet ver&longs;atiles, quæ <lb/>quantò minores, tantò minus occur&longs;ant &longs;ubiecto pauimento. </s> |
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| <s id="id.001829">vt enim <lb/>quò circulus rotæ maior e&longs;t, eò eius cum recta à qua tangitur in pla­<lb/>no minor e&longs;t an-<emph.end type="italics"/><lb/><figure id="fig44"/><lb/><emph type="italics"/>gulus. </s> | <s id="id.001829">vt enim <lb/>quò circulus rotæ maior e&longs;t, eò eius cum recta à qua tangitur in pla­<lb/>no minor e&longs;t an-<emph.end type="italics"/><lb/><figure id="id.035.01.154.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.154.1.jpg"/><lb/><emph type="italics"/>gulus. </s> |
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| <s id="id.001830">Et contrà <lb/>quò circulus mi­<lb/>nor, eò angulus <lb/>contactus maior <lb/>euadit. </s> | <s id="id.001830">Et contrà <lb/>quò circulus mi­<lb/>nor, eò angulus <lb/>contactus maior <lb/>euadit. </s> |
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| <s id="id.001835">Cur mi&longs;&longs;ilia longius fe­<lb/>runtur à funda, quam à <lb/>manu, etiam&longs;i proijciens <lb/>melius manu, comprehen­<lb/>dat: quam &longs;u&longs;pendens è <lb/>fo&longs;&longs;a fundæ? </s> | <s id="id.001835">Cur mi&longs;&longs;ilia longius fe­<lb/>runtur à funda, quam à <lb/>manu, etiam&longs;i proijciens <lb/>melius manu, comprehen­<lb/>dat: quam &longs;u&longs;pendens è <lb/>fo&longs;&longs;a fundæ? </s> |
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| <s id="id.001836">Præterea &longs;ic <lb/>duo pondera moueat, fun­<lb/>dam &longs;cilicet, & mi&longs;&longs;ile: illo <pb pagenum="116"/><gap/><lb/>verò modo mi&longs;&longs;ile dunta­<lb/>xat. </s> | <s id="id.001836">Præterea &longs;ic <lb/>duo pondera moueat, fun­<lb/>dam &longs;cilicet, & mi&longs;&longs;ile: illo <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.155.jpg" pagenum="116"/><gap/><lb/>verò modo mi&longs;&longs;ile dunta­<lb/>xat. </s> |
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| <s id="id.001837">An quia in funda mi&longs;­<lb/>&longs;ile commotum proijciens <lb/>iacit. </s> | <s id="id.001837">An quia in funda mi&longs;­<lb/>&longs;ile commotum proijciens <lb/>iacit. </s> |
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| <s id="id.001850">Vnde & funda balearis appellatur à Poëta,<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.001850">Vnde & funda balearis appellatur à Poëta,<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.001851">Stuppea torquentur balearis verbera fundæ. <lb/><emph type="italics"/>Nec&longs;olum lapides funda proÿci&longs;olere: &longs;ed & alia, vt plumbum, pa­<lb/>tet ex Ouidio.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="117"/><p type="main"> | <s id="id.001851">Stuppea torquentur balearis verbera fundæ. <lb/><emph type="italics"/>Nec&longs;olum lapides funda proÿci&longs;olere: &longs;ed & alia, vt plumbum, pa­<lb/>tet ex Ouidio.<emph.end type="italics"/><!-- KEEP S--></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.156.jpg" pagenum="117"/><p type="main"> |
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| <s id="id.001852">Non &longs;ecus exar&longs;it quam cum balearica plumbum</s></p><p type="main"> | <s id="id.001852">Non &longs;ecus exar&longs;it quam cum balearica plumbum</s></p><p type="main"> |
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| <s id="id.001869"><emph type="italics"/>Igitur proiiciens cum funda longius iacit: quam cum manu &longs;ola.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001869"><emph type="italics"/>Igitur proiiciens cum funda longius iacit: quam cum manu &longs;ola.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001870">E fo&longs;&longs;a fundæ.] <emph type="italics"/>In Græco vocabulum e&longs;t,<emph.end type="italics"/> <foreign lang="greek">to\kai/ar,</foreign> <emph type="italics"/>&longs;ine vo­<lb/>cabulo<emph.end type="italics"/> <foreign lang="greek">sfendo/nhs.</foreign> <emph type="italics"/>Significat <expan abbr="aut&etilde;">autem</expan><emph.end type="italics"/> <foreign lang="greek">kaiar</foreign> <emph type="italics"/>fo&longs;&longs;am terræ concu&longs;&longs;u <expan abbr="factã">factam</expan> <lb/>quæ &longs;ignificatio quid ad rem pertineat non video, ni&longs;i per metapho­<lb/>ram intelligamus eam fundæ partem, quæ vt latior, ita & in &longs;inum <lb/>leuiter excauatur ad iaculum continendum, & &longs;ic conuenit rei pro­<lb/>po&longs;itæ: nonnulli tamen putarunt delendum<emph.end type="italics"/> <foreign lang="greek">to\ kai/ar</foreign> <emph type="italics"/>& loco cius<emph.end type="italics"/><pb pagenum="118"/><emph type="italics"/>reponendum<emph.end type="italics"/> <foreign lang="greek">o)i+/zo\n</foreign> <emph type="italics"/>id e&longs;t omne quod iaculamus.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001870">E fo&longs;&longs;a fundæ.] <emph type="italics"/>In Græco vocabulum e&longs;t,<emph.end type="italics"/> <foreign lang="greek">to\kai/ar,</foreign> <emph type="italics"/>&longs;ine vo­<lb/>cabulo<emph.end type="italics"/> <foreign lang="greek">sfendo/nhs.</foreign> <emph type="italics"/>Significat <expan abbr="aut&etilde;">autem</expan><emph.end type="italics"/> <foreign lang="greek">kaiar</foreign> <emph type="italics"/>fo&longs;&longs;am terræ concu&longs;&longs;u <expan abbr="factã">factam</expan> <lb/>quæ &longs;ignificatio quid ad rem pertineat non video, ni&longs;i per metapho­<lb/>ram intelligamus eam fundæ partem, quæ vt latior, ita & in &longs;inum <lb/>leuiter excauatur ad iaculum continendum, & &longs;ic conuenit rei pro­<lb/>po&longs;itæ: nonnulli tamen putarunt delendum<emph.end type="italics"/> <foreign lang="greek">to\ kai/ar</foreign> <emph type="italics"/>& loco cius<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.157.jpg" pagenum="118"/><emph type="italics"/>reponendum<emph.end type="italics"/> <foreign lang="greek">o)i+/zo\n</foreign> <emph type="italics"/>id e&longs;t omne quod iaculamus.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001871">At omnia commotæ.] <emph type="italics"/>Hæc cau&longs;a generalis erit trice&longs;imo <lb/>primo capiti huius libri.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001871">At omnia commotæ.] <emph type="italics"/>Hæc cau&longs;a generalis erit trice&longs;imo <lb/>primo capiti huius libri.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001887">At & celerius mo­<lb/>uentur, & plus ab eadem vi <lb/>lineæ <expan abbr="maiorũ">maiorum</expan> circulorum: <lb/>quam <expan abbr="minorũ">minorum</expan>. </s> | <s id="id.001887">At & celerius mo­<lb/>uentur, & plus ab eadem vi <lb/>lineæ <expan abbr="maiorũ">maiorum</expan> circulorum: <lb/>quam <expan abbr="minorũ">minorum</expan>. </s> |
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| <s id="id.001888">Ab eadem <lb/>cnim vi extremum, quod <lb/>longiùs e&longs;t à centro, plus <lb/>transfertur, ideo collopas <lb/>organa ad ergatas <expan abbr="adijciũt">adijciunt</expan>, <pb pagenum="119"/><gap/><lb/>quibus facilius vertunt. </s> | <s id="id.001888">Ab eadem <lb/>cnim vi extremum, quod <lb/>longiùs e&longs;t à centro, plus <lb/>transfertur, ideo collopas <lb/>organa ad ergatas <expan abbr="adijciũt">adijciunt</expan>, <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.158.jpg" pagenum="119"/><gap/><lb/>quibus facilius vertunt. </s> |
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| <s id="id.001889">In <lb/>&longs;ucculis vero tenuibus ma­<lb/>ius fit id quod extra e&longs;t, li­<lb/>gnum. </s> | <s id="id.001889">In <lb/>&longs;ucculis vero tenuibus ma­<lb/>ius fit id quod extra e&longs;t, li­<lb/>gnum. </s> |
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| <s id="id.001905">Namque homines &longs;ine aliquo vno, vel &longs;ine omnibus <lb/>nullum opus, quod maximam vim po&longs;tulet, perficiunt. </s> | <s id="id.001905">Namque homines &longs;ine aliquo vno, vel &longs;ine omnibus <lb/>nullum opus, quod maximam vim po&longs;tulet, perficiunt. </s> |
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| <s id="id.001906">Hæc Hipp.<emph.end type="italics"/><pb pagenum="120"/><emph type="italics"/>Succularum <expan abbr="tam&etilde;">tamen</expan> multa &longs;unt genera vt videre e&longs;t apud Vitruuium.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001906">Hæc Hipp.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.159.jpg" pagenum="120"/><emph type="italics"/>Succularum <expan abbr="tam&etilde;">tamen</expan> multa &longs;unt genera vt videre e&longs;t apud Vitruuium.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001907"><emph type="italics"/>Et Pappus lib. | <s id="id.001907"><emph type="italics"/>Et Pappus lib. |
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| 8. Mathemat collectionum fabricam in&longs;trumenti <lb/>docet, quod huc referri debet, e&longs;t autem eiu&longs;modi. </s> | 8. Mathemat collectionum fabricam in&longs;trumenti <lb/>docet, quod huc referri debet, e&longs;t autem eiu&longs;modi. </s> |
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| <s id="id.001908">vocat axem M B,<emph.end type="italics"/><lb/><figure id="fig45"/><lb/><emph type="italics"/><expan abbr="tympanũ">tympanum</expan> C D, circa tympani <expan abbr="peripheriã&longs;cytalas">peripherian&longs;cytalas</expan> vel collopes in fora­<lb/>minibus tympani F G, H F, & ct:ita, vt potentia quæ &longs;emper in <lb/>&longs;cytalis e&longs;t, vel in peripheria tympani vt in F, dum circumuertit <lb/>tympanum, & axem &longs;ur&longs;um quoque mouet pondus K axi appen&longs;um <lb/>fune M circa axem reuoluto. </s> | <s id="id.001908">vocat axem M B,<emph.end type="italics"/><lb/><figure id="id.035.01.159.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.159.1.jpg"/><lb/><emph type="italics"/><expan abbr="tympanũ">tympanum</expan> C D, circa tympani <expan abbr="peripheriã&longs;cytalas">peripherian&longs;cytalas</expan> vel collopes in fora­<lb/>minibus tympani F G, H F, & ct:ita, vt potentia quæ &longs;emper in <lb/>&longs;cytalis e&longs;t, vel in peripheria tympani vt in F, dum circumuertit <lb/>tympanum, & axem &longs;ur&longs;um quoque mouet pondus K axi appen&longs;um <lb/>fune M circa axem reuoluto. </s> |
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| <s id="id.001909">Qui amplius videre volet, cur ab <lb/>hoc in&longs;trumento, quod axis in peritrochio vocatur, magna pondera <lb/>ab exigua virtute, quo ve etiam modo moueantur, quæ ratio tempo­<lb/>ris, &longs;patÿ, potentiæ, ac moti ponderis inter &longs;e, & vt v&longs;us ip&longs;ius ad ve­<lb/>ctem referatur. </s> | <s id="id.001909">Qui amplius videre volet, cur ab <lb/>hoc in&longs;trumento, quod axis in peritrochio vocatur, magna pondera <lb/>ab exigua virtute, quo ve etiam modo moueantur, quæ ratio tempo­<lb/>ris, &longs;patÿ, potentiæ, ac moti ponderis inter &longs;e, & vt v&longs;us ip&longs;ius ad ve­<lb/>ctem referatur. </s> |
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| <s id="id.001910">Videat apud Guidum V baldum in Mechanicis. </s> | <s id="id.001910">Videat apud Guidum V baldum in Mechanicis. </s> |
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| <s id="id.001911">Ad <lb/>hoc genus etiam in&longs;trumenti referantur ingentes illæ rotæ in vno <lb/>axe quarum vna labore vnius atque alterius hominis vertitur: alte­<lb/>ra &longs;itulis quibus in &longs;ua circumferentia accommodate dispo&longs;itis con­<lb/>ferta e&longs;t &longs;ui conuer&longs;ione ex vna parte aquam Sequanæ &longs;eptis contra­<lb/>ctam exhau&longs;it, ex altera aliò refudit, vt ex lapide quadrato firma <lb/><expan abbr="iacer&etilde;tur">iacerentur</expan> fundamenta illius eximij pontis, qui magno ornamento & <lb/>commoditate celeberrimæ vrbium Lutetiæ, iu&longs;&longs;u Henrici III. Regis<emph.end type="italics"/><pb pagenum="121"/><emph type="italics"/>no&longs;tri Chri&longs;tianißimi inchoatus, & maiori iam ex parte con&longs;tru­<lb/>ctus perfectionem ab Henrico IIII. <!-- KEEP S--></s> | <s id="id.001911">Ad <lb/>hoc genus etiam in&longs;trumenti referantur ingentes illæ rotæ in vno <lb/>axe quarum vna labore vnius atque alterius hominis vertitur: alte­<lb/>ra &longs;itulis quibus in &longs;ua circumferentia accommodate dispo&longs;itis con­<lb/>ferta e&longs;t &longs;ui conuer&longs;ione ex vna parte aquam Sequanæ &longs;eptis contra­<lb/>ctam exhau&longs;it, ex altera aliò refudit, vt ex lapide quadrato firma <lb/><expan abbr="iacer&etilde;tur">iacerentur</expan> fundamenta illius eximij pontis, qui magno ornamento & <lb/>commoditate celeberrimæ vrbium Lutetiæ, iu&longs;&longs;u Henrici III. Regis<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.160.jpg" pagenum="121"/><emph type="italics"/>no&longs;tri Chri&longs;tianißimi inchoatus, & maiori iam ex parte con&longs;tru­<lb/>ctus perfectionem ab Henrico IIII. <!-- KEEP S--></s> |
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| <s id="id.001912">Rege nunc no&longs;tro magnifi­<lb/>centißimo de&longs;iderat, ea in parte, qua flumen à &longs;chola S. <!-- REMOVE S-->Germani <lb/>ad plateam Augu&longs;tinorum traducitur. </s> | <s id="id.001912">Rege nunc no&longs;tro magnifi­<lb/>centißimo de&longs;iderat, ea in parte, qua flumen à &longs;chola S. <!-- REMOVE S-->Germani <lb/>ad plateam Augu&longs;tinorum traducitur. </s> |
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| <s id="id.001928"><emph type="italics"/>Quantò quidque à centro fuerit remotius, tantò facilius moue­<lb/>tur, & quia fractio e&longs;t motio, frangitur.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001928"><emph type="italics"/>Quantò quidque à centro fuerit remotius, tantò facilius moue­<lb/>tur, & quia fractio e&longs;t motio, frangitur.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001929"><emph type="italics"/>In fractione ligni cum manus &longs;unt in extremis, remotiores<emph.end type="italics"/><pb pagenum="122"/><emph type="italics"/>&longs;unt à centro (quod e&longs;t genu cum ad hoc applicatum e&longs;t li­<lb/>gnum: velpes, cum ip&longs;um pede conculcatur) quam cum <lb/>non &longs;unt in extremis.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001929"><emph type="italics"/>In fractione ligni cum manus &longs;unt in extremis, remotiores<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.161.jpg" pagenum="122"/><emph type="italics"/>&longs;unt à centro (quod e&longs;t genu cum ad hoc applicatum e&longs;t li­<lb/>gnum: velpes, cum ip&longs;um pede conculcatur) quam cum <lb/>non &longs;unt in extremis.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001930"><emph type="italics"/>Ergo fractio ligni manibus in extremis exi&longs;tentibus facilior fiet <lb/>quam &longs;i propius exi&longs;tant.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.001930"><emph type="italics"/>Ergo fractio ligni manibus in extremis exi&longs;tentibus facilior fiet <lb/>quam &longs;i propius exi&longs;tant.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.001946">Semper <expan abbr="aut&etilde;">autem</expan> maior ab <lb/><expan abbr="ead&etilde;">eadem</expan> motione <expan abbr="maior&etilde;">maiorem</expan> de­<lb/>&longs;cribit <expan abbr="circulũ">circulum</expan>. </s> | <s id="id.001946">Semper <expan abbr="aut&etilde;">autem</expan> maior ab <lb/><expan abbr="ead&etilde;">eadem</expan> motione <expan abbr="maior&etilde;">maiorem</expan> de­<lb/>&longs;cribit <expan abbr="circulũ">circulum</expan>. </s> |
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| <s id="id.001947">Et quod e&longs;t <lb/>maius <expan abbr="&longs;patiũ">&longs;patium</expan> æquali <expan abbr="t&etilde;pore">tempore</expan> <pb pagenum="123"/><gap/><lb/><expan abbr="trãfiens">tranfiens</expan> celerius fertur. </s> | <s id="id.001947">Et quod e&longs;t <lb/>maius <expan abbr="&longs;patiũ">&longs;patium</expan> æquali <expan abbr="t&etilde;pore">tempore</expan> <pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.162.jpg" pagenum="123"/><gap/><lb/><expan abbr="trãfiens">tranfiens</expan> celerius fertur. </s> |
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| <s id="id.001948">La­<lb/>ta vero celerius in æquali <lb/>&longs;patio, vehementius pul­<lb/>&longs;ant. </s> | <s id="id.001948">La­<lb/>ta vero celerius in æquali <lb/>&longs;patio, vehementius pul­<lb/>&longs;ant. </s> |
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| <s id="id.001957">Quod problema licet &longs;peciale &longs;it de <lb/>crocis, generale tamen fieri pote&longs;t de omnibus non rotundis. </s> | <s id="id.001957">Quod problema licet &longs;peciale &longs;it de <lb/>crocis, generale tamen fieri pote&longs;t de omnibus non rotundis. </s> |
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| <s id="id.001958">Et cau&longs;a <lb/>generalis e&longs;&longs;et hoc modo: quæcunque non &longs;unt rotunda frequenti, & <lb/>celeri, & maiori conuer &longs;ione eminentis vt anguli atteruntur, pul­<lb/>&longs;ant enim ea parte magis occurrentia quælibet &longs;iue liquida, &longs;iue &longs;oli­<lb/>da, & vicißim pul&longs;antur ab occurrentibus: &longs;icque &longs;ublatis per attri­<lb/>tionem eminentÿs & angulis rotundantur.<emph.end type="italics"/><pb pagenum="124"/><arrow.to.target n="marg30"/></s></p><p type="margin"> | <s id="id.001958">Et cau&longs;a <lb/>generalis e&longs;&longs;et hoc modo: quæcunque non &longs;unt rotunda frequenti, & <lb/>celeri, & maiori conuer &longs;ione eminentis vt anguli atteruntur, pul­<lb/>&longs;ant enim ea parte magis occurrentia quælibet &longs;iue liquida, &longs;iue &longs;oli­<lb/>da, & vicißim pul&longs;antur ab occurrentibus: &longs;icque &longs;ublatis per attri­<lb/>tionem eminentÿs & angulis rotundantur.<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.163.jpg" pagenum="124"/><arrow.to.target n="marg30"/></s></p><p type="margin"> |
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| <s id="id.001959"><margin.target id="marg29"/>Lib. 2. de <lb/>Orat. <!-- REMOVE S-->cap. | <s id="id.001959"><margin.target id="marg29"/>Lib. 2. de <lb/>Orat. <!-- REMOVE S-->cap. |
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| <s id="id.001973">Si verò <lb/>flexilis vectis fuerit, nece&longs;­<lb/>&longs;e erit ip&longs;um magis inflecti <lb/>cum attollitur: quod & li­<lb/>gnis longis contingit. </s> | <s id="id.001973">Si verò <lb/>flexilis vectis fuerit, nece&longs;­<lb/>&longs;e erit ip&longs;um magis inflecti <lb/>cum attollitur: quod & li­<lb/>gnis longis contingit. </s> |
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| <s id="id.001974">At in <lb/>breuibus <expan abbr="extremũ">extremum</expan> fit vici-<pb pagenum="125"/><gap/><lb/>num hypomochlio quie&longs;­<lb/>centi.</s></p><p type="head"> | <s id="id.001974">At in <lb/>breuibus <expan abbr="extremũ">extremum</expan> fit vici-<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.164.jpg" pagenum="125"/><gap/><lb/>num hypomochlio quie&longs;­<lb/>centi.</s></p><p type="head"> |
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| <s id="id.001975">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.001975">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.001994"><gap/></s></p><p type="main"> | <s id="id.001994"><gap/></s></p><p type="main"> |
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| <s id="id.001995">Cur à cuneo re parua ma­<lb/>gnæ moles, & <expan abbr="corporũ">corporum</expan> ma­<lb/>gnitudines <expan abbr="diuidũtur">diuiduntur</expan>, im­<pb pagenum="126"/><gap/><lb/>pre&longs;&longs;ioque valida efficitur. <lb/></s> | <s id="id.001995">Cur à cuneo re parua ma­<lb/>gnæ moles, & <expan abbr="corporũ">corporum</expan> ma­<lb/>gnitudines <expan abbr="diuidũtur">diuiduntur</expan>, im­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.165.jpg" pagenum="126"/><gap/><lb/>pre&longs;&longs;ioque valida efficitur. <lb/></s> |
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| <s id="id.001996">An quia cuneus vectes duo <lb/>&longs;unt &longs;ibi inuicem <expan abbr="cõtrarij">contrarij</expan>, <lb/>vterque verò habet & pon­<lb/>dus, & <expan abbr="hypomochliũ">hypomochlium</expan>, quod <lb/>diuellit, vel <expan abbr="cõprimit">comprimit</expan>. </s> | <s id="id.001996">An quia cuneus vectes duo <lb/>&longs;unt &longs;ibi inuicem <expan abbr="cõtrarij">contrarij</expan>, <lb/>vterque verò habet & pon­<lb/>dus, & <expan abbr="hypomochliũ">hypomochlium</expan>, quod <lb/>diuellit, vel <expan abbr="cõprimit">comprimit</expan>. </s> |
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| <s id="id.001997">Præ­<lb/>terea percu&longs;&longs;io <expan abbr="põdus">pondus</expan> quod <lb/>percutit, & mouet <expan abbr="magnũ">magnum</expan> <lb/>facit, & quia motum mo­<lb/>uet celeritate valentius e&longs;t. <lb/></s> | <s id="id.001997">Præ­<lb/>terea percu&longs;&longs;io <expan abbr="põdus">pondus</expan> quod <lb/>percutit, & mouet <expan abbr="magnũ">magnum</expan> <lb/>facit, & quia motum mo­<lb/>uet celeritate valentius e&longs;t. <lb/></s> |
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| <s id="id.001998">Paruo vero exi&longs;tente vecte <lb/>magnæ vires con&longs;equun­<lb/>tur, ideò mouens latet præ­<lb/>ratione magnitudinis.</s></p><figure/><p type="main"> | <s id="id.001998">Paruo vero exi&longs;tente vecte <lb/>magnæ vires con&longs;equun­<lb/>tur, ideò mouens latet præ­<lb/>ratione magnitudinis.</s></p><figure id="id.035.01.165.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.165.1.jpg"/><p type="main"> |
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| <s id="id.001999">E&longs;to cuneus vbi e&longs;t <foreign lang="greek">a b <lb/>g,</foreign> quod vero cuneo fin­<lb/>ditur <foreign lang="greek">d n z.</foreign> Vectis itaque <lb/>fiet <foreign lang="greek">a b,</foreign> pondus vero ip&longs;ius <lb/><foreign lang="greek">b</foreign> inferior pars: hypo­<lb/>mochlium autem <foreign lang="greek">ms&sn,</foreign><lb/>huic vero contrarius ve­<lb/>ctis <foreign lang="greek">b g,</foreign> tum pars <foreign lang="greek">a g</foreign> per­<lb/>cu&longs;&longs;a. </s> | <s id="id.001999">E&longs;to cuneus vbi e&longs;t <foreign lang="greek">a b <lb/>g,</foreign> quod vero cuneo fin­<lb/>ditur <foreign lang="greek">d n z.</foreign> Vectis itaque <lb/>fiet <foreign lang="greek">a b,</foreign> pondus vero ip&longs;ius <lb/><foreign lang="greek">b</foreign> inferior pars: hypo­<lb/>mochlium autem <foreign lang="greek">ms&sn,</foreign><lb/>huic vero contrarius ve­<lb/>ctis <foreign lang="greek">b g,</foreign> tum pars <foreign lang="greek">a g</foreign> per­<lb/>cu&longs;&longs;a. </s> |
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| <s id="id.002002">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.002002">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.002003">Cau&longs;a pote&longs;tatis cunei.] <emph type="italics"/>Cuneus e&longs;t in&longs;trumentum ex ma­<lb/>teria firma in&longs;tar pyramidis à ba&longs;i lata in angu&longs;tum fa&longs;tigia-<emph.end type="italics"/><pb pagenum="127"/><figure id="fig46"/><lb/><emph type="italics"/>tum. </s> | <s id="id.002003">Cau&longs;a pote&longs;tatis cunei.] <emph type="italics"/>Cuneus e&longs;t in&longs;trumentum ex ma­<lb/>teria firma in&longs;tar pyramidis à ba&longs;i lata in angu&longs;tum fa&longs;tigia-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.166.jpg" pagenum="127"/><figure id="id.035.01.166.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.166.1.jpg"/><lb/><emph type="italics"/>tum. </s> |
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| <s id="id.002004">Vt A B C D E F. <!-- KEEP S--></s> | <s id="id.002004">Vt A B C D E F. <!-- KEEP S--></s> |
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| <s id="id.002020">Notandum autem quod inter <lb/>cuneos, qui angulum ad verticem <expan abbr="acutior&etilde;">acutiorem</expan> habet facilius mouet, ac <lb/>&longs;cindit: quam qui obtu&longs;iorem. </s> | <s id="id.002020">Notandum autem quod inter <lb/>cuneos, qui angulum ad verticem <expan abbr="acutior&etilde;">acutiorem</expan> habet facilius mouet, ac <lb/>&longs;cindit: quam qui obtu&longs;iorem. </s> |
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| <s id="id.002021">Mouetur enim cuneus anguli maioris<emph.end type="italics"/><pb pagenum="128"/><emph type="italics"/>per maius &longs;patium, quam minoris, &longs;iquidem maioris anguli maior e&longs;t <lb/>&longs;ubten&longs;a, cum anguli &longs;unt æquicruri prop. | <s id="id.002021">Mouetur enim cuneus anguli maioris<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.167.jpg" pagenum="128"/><emph type="italics"/>per maius &longs;patium, quam minoris, &longs;iquidem maioris anguli maior e&longs;t <lb/>&longs;ubten&longs;a, cum anguli &longs;unt æquicruri prop. |
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| 26. lib. | 26. lib. |
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| <s id="id.002035">Inde ca&longs;us lapidis aut ictus ab altiore loco grauius per­<lb/>cutit: vel ex eo quidem quod percutit, &longs;ed recto atque moto, ab aliqua <lb/>potentia percutiente, vt &longs;i per manubrium mallei, quod vna vel duæ <lb/>manus moueant. </s> | <s id="id.002035">Inde ca&longs;us lapidis aut ictus ab altiore loco grauius per­<lb/>cutit: vel ex eo quidem quod percutit, &longs;ed recto atque moto, ab aliqua <lb/>potentia percutiente, vt &longs;i per manubrium mallei, quod vna vel duæ <lb/>manus moueant. </s> |
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| <s id="id.002036">Certum e&longs;t quod quò grauior erit malleus, & quò <lb/>longius manubrium, eò maior fiet percu&longs;sio, vt ex præcedentibus &longs;atis <lb/>patere pote&longs;t, cum malleus tanquam pondus à centro, quod e&longs;t in ma-<emph.end type="italics"/><pb pagenum="129"/><emph type="italics"/>nubrio, vbi manus ip&longs;um comprehendunt, plus di&longs;tet. </s> | <s id="id.002036">Certum e&longs;t quod quò grauior erit malleus, & quò <lb/>longius manubrium, eò maior fiet percu&longs;sio, vt ex præcedentibus &longs;atis <lb/>patere pote&longs;t, cum malleus tanquam pondus à centro, quod e&longs;t in ma-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.168.jpg" pagenum="129"/><emph type="italics"/>nubrio, vbi manus ip&longs;um comprehendunt, plus di&longs;tet. </s> |
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| <s id="id.002037">Præterea cer­<lb/>tum e&longs;t quod quantò potentia percutiens validior e&longs;t, validiori tantò <lb/>impellet pul&longs;u. </s> | <s id="id.002037">Præterea cer­<lb/>tum e&longs;t quod quantò potentia percutiens validior e&longs;t, validiori tantò <lb/>impellet pul&longs;u. </s> |
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| <s id="id.002042">Primum quod licet cuneo <lb/>ba&longs;i &longs;ua &longs;uper plano in&longs;i&longs;tenti, pondus alioqui valde ingens impona­<lb/>tur, ip&longs;um non diuidet, aut parùm, &longs;i ad diui&longs;ionem percußione fa­<lb/>ctam compares. </s> | <s id="id.002042">Primum quod licet cuneo <lb/>ba&longs;i &longs;ua &longs;uper plano in&longs;i&longs;tenti, pondus alioqui valde ingens impona­<lb/>tur, ip&longs;um non diuidet, aut parùm, &longs;i ad diui&longs;ionem percußione fa­<lb/>ctam compares. </s> |
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| <s id="id.002043">Secundum &longs;i cuneo vel vectis vel cochlea vel aliud <lb/>aliquod in&longs;trumentum aptetur, vt ip&longs;e intimius propellatur, effectus <lb/>inde con&longs;equens parui erit momenti,<emph.end type="italics"/><lb/><figure id="fig47"/><lb/><emph type="italics"/>re&longs;pectu eius, qui à percußione pro­<lb/>fici&longs;citur. </s> | <s id="id.002043">Secundum &longs;i cuneo vel vectis vel cochlea vel aliud <lb/>aliquod in&longs;trumentum aptetur, vt ip&longs;e intimius propellatur, effectus <lb/>inde con&longs;equens parui erit momenti,<emph.end type="italics"/><lb/><figure id="id.035.01.168.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.168.1.jpg"/><lb/><emph type="italics"/>re&longs;pectu eius, qui à percußione pro­<lb/>fici&longs;citur. </s> |
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| <s id="id.002044">Guidus V baldus commo­<lb/>de hoc adfert exemplum. </s> | <s id="id.002044">Guidus V baldus commo­<lb/>de hoc adfert exemplum. </s> |
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| <s id="id.002050">Præterea à Phalangÿ <lb/>ictu totum corpus affici videtur exiguo veneno per foramen iniecto: <lb/>&longs;ed longè maiori admiratione dignus e&longs;t Scorpionis ictus, qui breui <lb/>admodum tempore grauißima infert accidentia. </s> | <s id="id.002050">Præterea à Phalangÿ <lb/>ictu totum corpus affici videtur exiguo veneno per foramen iniecto: <lb/>&longs;ed longè maiori admiratione dignus e&longs;t Scorpionis ictus, qui breui <lb/>admodum tempore grauißima infert accidentia. </s> |
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| <s id="id.002051">Hæc Galenus quæ <lb/>ideo attuli, vt intelligant mor&longs;us ab animalium dentibus inci&longs;orÿs<emph.end type="italics"/><pb pagenum="130"/><emph type="italics"/>maxillarum impetu adactis in rem mor&longs;am vt pondus diuidendum, <lb/>tanquam à cuneis e&longs;&longs;e factos, vt & vulnera ab en&longs;ibus, ha&longs;tis, dola­<lb/>bris, &longs;ecuribus & id genus in&longs;trumentis. </s> | <s id="id.002051">Hæc Galenus quæ <lb/>ideo attuli, vt intelligant mor&longs;us ab animalium dentibus inci&longs;orÿs<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.169.jpg" pagenum="130"/><emph type="italics"/>maxillarum impetu adactis in rem mor&longs;am vt pondus diuidendum, <lb/>tanquam à cuneis e&longs;&longs;e factos, vt & vulnera ab en&longs;ibus, ha&longs;tis, dola­<lb/>bris, &longs;ecuribus & id genus in&longs;trumentis. </s> |
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| <s id="id.002052">Serra quoque & lima ad <lb/>hoc genus, quòd ad &longs;uos denticulos &longs;pectatreduci pote&longs;t, quot enim <lb/>denticuli totcunei, & ÿ alligati, aut continui &longs;uo vecti, id e&longs;t, manu­<lb/>brio, quod pro vt longius, vel breuius e&longs;t, ita maiorem vim impul&longs;us <lb/>aut tractus obtinet.<emph.end type="italics"/></s></p><p type="margin"> | <s id="id.002052">Serra quoque & lima ad <lb/>hoc genus, quòd ad &longs;uos denticulos &longs;pectatreduci pote&longs;t, quot enim <lb/>denticuli totcunei, & ÿ alligati, aut continui &longs;uo vecti, id e&longs;t, manu­<lb/>brio, quod pro vt longius, vel breuius e&longs;t, ita maiorem vim impul&longs;us <lb/>aut tractus obtinet.<emph.end type="italics"/></s></p><p type="margin"> |
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| <s id="id.002055">Sed hanc &longs;ic paulò am­<lb/>plius & apertius repetemus. </s> | <s id="id.002055">Sed hanc &longs;ic paulò am­<lb/>plius & apertius repetemus. </s> |
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| <s id="id.002056">Sit cuneus A B C cuius vertex B: <lb/>& &longs;it A B æqualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="fig48"/><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, & H B &longs;it <lb/>æqualis ip&longs;i B K. percu­<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. <!-- KEEP S--></s> | <s id="id.002056">Sit cuneus A B C cuius vertex B: <lb/>& &longs;it A B æqualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="id.035.01.169.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.169.1.jpg"/><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, & H B &longs;it <lb/>æqualis ip&longs;i B K. percu­<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. <!-- KEEP S--></s> |
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| <s id="id.002057">Dum cuneus in <lb/>A C percutitur, A B fit <lb/>vectis, cuius hypomoch­<lb/>lium e&longs;t H, & pondus in <lb/>B, eodemque modo C B <lb/>fit vectis, cuius hypomo­<lb/>chlium e&longs;t K, & pondus &longs;imiliter in B. </s> | <s id="id.002057">Dum cuneus in <lb/>A C percutitur, A B fit <lb/>vectis, cuius hypomoch­<lb/>lium e&longs;t H, & pondus in <lb/>B, eodemque modo C B <lb/>fit vectis, cuius hypomo­<lb/>chlium e&longs;t K, & pondus &longs;imiliter in B. </s> |
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| <s id="id.002060">Dumigitur M L erit in &longs;itu H K, opor­<lb/>tet vt fiat maior diui&longs;io, & D moueatur ver&longs;us O: G autem ver­<lb/>&longs;us N, & quò maior pars cunei intra D E F G ingredietur, eò <lb/>maior fiet diui&longs;io: & D, G magis adhuc impellentur ver&longs;us O, <lb/>N. <!-- KEEP S--></s> | <s id="id.002060">Dumigitur M L erit in &longs;itu H K, opor­<lb/>tet vt fiat maior diui&longs;io, & D moueatur ver&longs;us O: G autem ver­<lb/>&longs;us N, & quò maior pars cunei intra D E F G ingredietur, eò <lb/>maior fiet diui&longs;io: & D, G magis adhuc impellentur ver&longs;us O, <lb/>N. <!-- KEEP S--></s> |
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| <s id="id.002061">Parsigitur K G eius quod diuiditur mouebitur à vecte A B, <lb/>cuius hypomochlium e&longs;t H, & pondus in B, ita vt punctum B <lb/>ip&longs;ius vectis A B impellat partem k G: & pars H D mouebi­<lb/>tur à vecte C B, cuius hypomochlium e&longs;t k, ita vt B vecte C B<emph.end type="italics"/><pb pagenum="131"/><emph type="italics"/>partem H D impellat. </s> | <s id="id.002061">Parsigitur K G eius quod diuiditur mouebitur à vecte A B, <lb/>cuius hypomochlium e&longs;t H, & pondus in B, ita vt punctum B <lb/>ip&longs;ius vectis A B impellat partem k G: & pars H D mouebi­<lb/>tur à vecte C B, cuius hypomochlium e&longs;t k, ita vt B vecte C B<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.170.jpg" pagenum="131"/><emph type="italics"/>partem H D impellat. </s> |
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| <s id="id.002062">Atque hæc e&longs;t &longs;ententia Ari&longs;totelis de du­<lb/>plici vecte in cuneo. </s> | <s id="id.002062">Atque hæc e&longs;t &longs;ententia Ari&longs;totelis de du­<lb/>plici vecte in cuneo. </s> |
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| <s id="id.002071">Quod vt intelligatur. </s> | <s id="id.002071">Quod vt intelligatur. </s> |
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| <s id="id.002072">Sit cuneus A B C circa<emph.end type="italics"/></s></p><figure/><p type="caption"> | <s id="id.002072">Sit cuneus A B C circa<emph.end type="italics"/></s></p><figure id="id.035.01.170.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.170.1.jpg"/><p type="caption"> |
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| <s id="id.002073">Cochlea &longs;ine matrice.<lb/><emph type="italics"/>cylindrum D E, qui &longs;ine <expan abbr="impedim&etilde;to">impedimento</expan> verti poßit per vectem K F<emph.end type="italics"/><pb pagenum="132"/><emph type="italics"/>cylindri axi an-<emph.end type="italics"/></s></p><figure/><p type="caption"> | <s id="id.002073">Cochlea &longs;ine matrice.<lb/><emph type="italics"/>cylindrum D E, qui &longs;ine <expan abbr="impedim&etilde;to">impedimento</expan> verti poßit per vectem K F<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.171.jpg" pagenum="132"/><emph type="italics"/>cylindri axi an-<emph.end type="italics"/></s></p><figure id="id.035.01.171.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.171.1.jpg"/><p type="caption"> |
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| <s id="id.002074">Cochlea cum matrice.<lb/><emph type="italics"/>nexum: pondus <lb/>mouendum &longs;it <lb/>L M N O ex <lb/>parte M N im­<lb/>mobile, vt in <lb/>his quæ <expan abbr="&longs;cindū-tur">&longs;cindun­<lb/>tur</expan>, fieri &longs;olet: <lb/>cunei vero vertex A &longs;it intra rimam R S. <!-- KEEP S--></s> | <s id="id.002074">Cochlea cum matrice.<lb/><emph type="italics"/>nexum: pondus <lb/>mouendum &longs;it <lb/>L M N O ex <lb/>parte M N im­<lb/>mobile, vt in <lb/>his quæ <expan abbr="&longs;cindū-tur">&longs;cindun­<lb/>tur</expan>, fieri &longs;olet: <lb/>cunei vero vertex A &longs;it intra rimam R S. <!-- KEEP S--></s> |
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| <s id="id.002077">Totum ergo L M N O &longs;cindetur. </s> | <s id="id.002077">Totum ergo L M N O &longs;cindetur. </s> |
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| <s id="id.002078">Nam dum rur&longs;us vectis K <lb/>P peruenerit ad K Q, tunc B C erit intra R S, erit R &longs;iquidem <lb/>in X & S in E, vt X E &longs;it æqualis B C: &longs;emperque conti­<lb/>nuato cuneo progredienteque A vertice vltrà, pondus L M N O, <lb/>&longs;cindetur, vel pondus G mobile impelletur, attrahetur, attolletur,<emph.end type="italics"/><lb/><figure id="fig49"/><lb/><emph type="italics"/>prout cylindrus cochleæ po&longs;itus erit ad planum horizontis cum &longs;ua, <lb/>vel &longs;inefcemina &longs;eu matrice. </s> | <s id="id.002078">Nam dum rur&longs;us vectis K <lb/>P peruenerit ad K Q, tunc B C erit intra R S, erit R &longs;iquidem <lb/>in X & S in E, vt X E &longs;it æqualis B C: &longs;emperque conti­<lb/>nuato cuneo progredienteque A vertice vltrà, pondus L M N O, <lb/>&longs;cindetur, vel pondus G mobile impelletur, attrahetur, attolletur,<emph.end type="italics"/><lb/><figure id="id.035.01.171.2.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.171.2.jpg"/><lb/><emph type="italics"/>prout cylindrus cochleæ po&longs;itus erit ad planum horizontis cum &longs;ua, <lb/>vel &longs;inefcemina &longs;eu matrice. </s> |
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| <s id="id.002079">Quod &longs;irur&longs;us cochleæ <expan abbr="tympanūrectè">tympanurrectè</expan><emph.end type="italics"/><pb pagenum="133"/><emph type="italics"/>vel obliquè denticulatum, ita vt helici facilè congruat, aptetur: ma­<lb/>nife&longs;tum e&longs;t, quod ad motum cochleæ etiam tympani C dentes &longs;uper <lb/>helicem cochleæ ad infinitum <expan abbr="circumuert&etilde;tur">circumuertentur</expan>. </s> | <s id="id.002079">Quod &longs;irur&longs;us cochleæ <expan abbr="tympanūrectè">tympanurrectè</expan><emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.172.jpg" pagenum="133"/><emph type="italics"/>vel obliquè denticulatum, ita vt helici facilè congruat, aptetur: ma­<lb/>nife&longs;tum e&longs;t, quod ad motum cochleæ etiam tympani C dentes &longs;uper <lb/>helicem cochleæ ad infinitum <expan abbr="circumuert&etilde;tur">circumuertentur</expan>. </s> |
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| <s id="id.002080">Vnde hæc cochlea di­<lb/>citur infinita, id e&longs;t tandiu vertetur, quandiu quis volet. </s> | <s id="id.002080">Vnde hæc cochlea di­<lb/>citur infinita, id e&longs;t tandiu vertetur, quandiu quis volet. </s> |
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| <s id="id.002091"><gap/></s></p><p type="main"> | <s id="id.002091"><gap/></s></p><p type="main"> |
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| <s id="id.002092">Quare &longs;i quis in duobus <lb/>tignis inter &longs;e <expan abbr="iũctisè">iunctisè</expan> <expan abbr="cõtra-rio">contra­<lb/>rio</expan> duas trochleas <expan abbr="cõpon&etilde;s">componens</expan> <lb/>ip&longs;is in circulo circum du­<lb/>xerit funiculum, qui lorum <lb/>quòd &longs;u&longs;pendatur ex altero <lb/>tignorum, & alterum inni­<lb/>tatur, aut appofitum &longs;it ad <lb/>trochleas, atque initium <lb/>funiculi traxerit, vt parua <lb/>vi trahat, magna tamen <lb/>pondera adducet.</s></p><pb pagenum="134"/><p type="head"> | <s id="id.002092">Quare &longs;i quis in duobus <lb/>tignis inter &longs;e <expan abbr="iũctisè">iunctisè</expan> <expan abbr="cõtra-rio">contra­<lb/>rio</expan> duas trochleas <expan abbr="cõpon&etilde;s">componens</expan> <lb/>ip&longs;is in circulo circum du­<lb/>xerit funiculum, qui lorum <lb/>quòd &longs;u&longs;pendatur ex altero <lb/>tignorum, & alterum inni­<lb/>tatur, aut appofitum &longs;it ad <lb/>trochleas, atque initium <lb/>funiculi traxerit, vt parua <lb/>vi trahat, magna tamen <lb/>pondera adducet.</s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.173.jpg" pagenum="134"/><p type="head"> |
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| <s id="id.002093">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.002093">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.002100">Tota enim particula contextus huius<emph.end type="italics"/> <foreign lang="greek">e)/xon to\ <lb/>ar)/thma e)k <gap/>ate/rou t<gap/> cu/lwn, <gap/>a/teron de\ h)_ w_<gap/>serhreimu/on h)\ w_<gap/>­<lb/>se<gap/>u/on <gap/> ta\s t<gap/>oxali/as,</foreign> <emph type="italics"/>mendo&longs;a meo iudicio e&longs;t. </s> | <s id="id.002100">Tota enim particula contextus huius<emph.end type="italics"/> <foreign lang="greek">e)/xon to\ <lb/>ar)/thma e)k <gap/>ate/rou t<gap/> cu/lwn, <gap/>a/teron de\ h)_ w_<gap/>serhreimu/on h)\ w_<gap/>­<lb/>se<gap/>u/on <gap/> ta\s t<gap/>oxali/as,</foreign> <emph type="italics"/>mendo&longs;a meo iudicio e&longs;t. </s> |
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| <s id="id.002101">Quid enim <lb/>e&longs;t habere lorum quod dependeat, ab altero tignorum: alterum vero <lb/>e&longs;&longs;e infixum, & appo&longs;itum ad trochleas, quid e&longs;t illud alterum, quod <lb/>dicitur infigi, & apponi<emph.end type="italics"/><lb/><figure id="fig50"/><lb/><emph type="italics"/>ad trochleas, intelligi certè <lb/>non pote&longs;t. </s> | <s id="id.002101">Quid enim <lb/>e&longs;t habere lorum quod dependeat, ab altero tignorum: alterum vero <lb/>e&longs;&longs;e infixum, & appo&longs;itum ad trochleas, quid e&longs;t illud alterum, quod <lb/>dicitur infigi, & apponi<emph.end type="italics"/><lb/><figure id="id.035.01.173.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.173.1.jpg"/><lb/><emph type="italics"/>ad trochleas, intelligi certè <lb/>non pote&longs;t. </s> |
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| <s id="id.002102">Si igitur quid <lb/>rei natura, & v&longs;us o&longs;ten­<lb/>dat, ponamus: illam parti­<lb/>culam &longs;ic <expan abbr="cõmutabimus">commutabimus</expan>, <lb/>vt dicamus vnam è dua­<lb/>bus trochleis habere <expan abbr="lorũ">lorum</expan>, <lb/>quod dependeat ab altero <lb/>vel vtroque tignorum: al­<lb/>teri vero infixum & <expan abbr="ap-po&longs;itũ">ap­<lb/>po&longs;itum</expan> e&longs;&longs;e pondus trahen­<lb/>dum vel attollendum. </s> | <s id="id.002102">Si igitur quid <lb/>rei natura, & v&longs;us o&longs;ten­<lb/>dat, ponamus: illam parti­<lb/>culam &longs;ic <expan abbr="cõmutabimus">commutabimus</expan>, <lb/>vt dicamus vnam è dua­<lb/>bus trochleis habere <expan abbr="lorũ">lorum</expan>, <lb/>quod dependeat ab altero <lb/>vel vtroque tignorum: al­<lb/>teri vero infixum & <expan abbr="ap-po&longs;itũ">ap­<lb/>po&longs;itum</expan> e&longs;&longs;e pondus trahen­<lb/>dum vel attollendum. </s> |
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| <s id="id.002103">Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D & E F<emph.end type="italics"/><lb/><figure id="fig51"/><lb/><emph type="italics"/>(plura duobus vt tria, & qua­<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int & <lb/>duæ trochleæ A & B, qua­<lb/>rum altera A ad vtrumque ti­<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon­<lb/>dus G, tracto loro ab ini­<lb/>tio vbi I, pondus G cum tro­<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> | <s id="id.002103">Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.174.jpg" pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D & E F<emph.end type="italics"/><lb/><figure id="id.035.01.174.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.174.1.jpg"/><lb/><emph type="italics"/>(plura duobus vt tria, & qua­<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int & <lb/>duæ trochleæ A & B, qua­<lb/>rum altera A ad vtrumque ti­<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon­<lb/>dus G, tracto loro ab ini­<lb/>tio vbi I, pondus G cum tro­<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.002104"><emph type="italics"/>Vel etiam &longs;it trochlea in­<lb/>ferior in qua orbiculi duo cui <lb/>pondus A per vncum apponi­<lb/>tur, &longs;uperior in qua duo item or­<lb/>biculi. </s> | <s id="id.002104"><emph type="italics"/>Vel etiam &longs;it trochlea in­<lb/>ferior in qua orbiculi duo cui <lb/>pondus A per vncum apponi­<lb/>tur, &longs;uperior in qua duo item or­<lb/>biculi. </s> |
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| <s id="id.002109"><expan abbr="Itaq;">Itaque</expan> &longs;i vna fa­<lb/>cili^{9} trahat, & ab vnico tra­<lb/>ctu: <expan abbr="quã">quam</expan> manu, graui^{9} multò <lb/>trahet. </s> | <s id="id.002109"><expan abbr="Itaq;">Itaque</expan> &longs;i vna fa­<lb/>cili^{9} trahat, & ab vnico tra­<lb/>ctu: <expan abbr="quã">quam</expan> manu, graui^{9} multò <lb/>trahet. </s> |
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| <s id="id.002110">Hoc vero duæ tro­<pb pagenum="136"/><gap/><lb/>chleæ plus in dupla veloci­<lb/>tate attollent. </s> | <s id="id.002110">Hoc vero duæ tro­<pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.175.jpg" pagenum="136"/><gap/><lb/>chleæ plus in dupla veloci­<lb/>tate attollent. </s> |
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| <s id="id.002111">Minus enim <lb/>altera trahit quam &longs;i ip&longs;a <lb/>per &longs;eip&longs;am traheret. </s> | <s id="id.002111">Minus enim <lb/>altera trahit quam &longs;i ip&longs;a <lb/>per &longs;eip&longs;am traheret. </s> |
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| <s id="id.002132">Et <expan abbr="põdus">pondus</expan> quod e&longs;t vni tro­<lb/>chlearum appo&longs;itum e&longs;t mobile. </s> | <s id="id.002132">Et <expan abbr="põdus">pondus</expan> quod e&longs;t vni tro­<lb/>chlearum appo&longs;itum e&longs;t mobile. </s> |
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| <s id="id.002133">Cum autem virtus trahit per plures <lb/>orbiculos, vt pluribus vectibus vtens vna opera, & eodem temporis <lb/>momento facilius trahit & minore vi, quandoquidem pondus, vt<emph.end type="italics"/><pb pagenum="137"/><emph type="italics"/>pluribus diui&longs;um orbiculis, minus id e&longs;t leuius apparet. </s> | <s id="id.002133">Cum autem virtus trahit per plures <lb/>orbiculos, vt pluribus vectibus vtens vna opera, & eodem temporis <lb/>momento facilius trahit & minore vi, quandoquidem pondus, vt<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.176.jpg" pagenum="137"/><emph type="italics"/>pluribus diui&longs;um orbiculis, minus id e&longs;t leuius apparet. </s> |
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| <s id="id.002134">Itaque quo­<lb/>niam facilius e&longs;t mouere pondus vecte: quam manu, & trochlea ve­<lb/>ctis e&longs;t, facilius erit trochlea: quam manu.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.002134">Itaque quo­<lb/>niam facilius e&longs;t mouere pondus vecte: quam manu, & trochlea ve­<lb/>ctis e&longs;t, facilius erit trochlea: quam manu.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.002140">In X autem &longs;it <lb/>harpago ad apprehendendum pondus E attollendum vel deprimen­<lb/>dum. </s> | <s id="id.002140">In X autem &longs;it <lb/>harpago ad apprehendendum pondus E attollendum vel deprimen­<lb/>dum. </s> |
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| <s id="id.002141">Si eni<gap/> extremum L ab harpagone V liberetur, & ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb pagenum="138"/><figure id="fig52"/><lb/><emph type="italics"/>&longs;patÿ, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. <!-- KEEP S--></s> | <s id="id.002141">Si eni<gap/> extremum L ab harpagone V liberetur, & ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.177.jpg" pagenum="138"/><figure id="id.035.01.177.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.177.1.jpg"/><lb/><emph type="italics"/>&longs;patÿ, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. <!-- KEEP S--></s> |
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| <s id="id.002142">Tanti erunt autem, <lb/>quantos loci, ad quem de&longs;cendere, vel <lb/>è quo educere volumus, profunditas, <lb/>po&longs;tulat. </s> | <s id="id.002142">Tanti erunt autem, <lb/>quantos loci, ad quem de&longs;cendere, vel <lb/>è quo educere volumus, profunditas, <lb/>po&longs;tulat. </s> |
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| <s id="id.002150">quæ eò facilius trahunt, quò longiores fuerint. </s> | <s id="id.002150">quæ eò facilius trahunt, quò longiores fuerint. </s> |
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| <s id="id.002151">Atque<emph.end type="italics"/><pb pagenum="139"/><emph type="italics"/>huius compo&longs;itionis quæ adæquat multas trochleas, aut etiam lon­<lb/>gißimum vectem maximus e&longs;t v&longs;us. </s> | <s id="id.002151">Atque<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.178.jpg" pagenum="139"/><emph type="italics"/>huius compo&longs;itionis quæ adæquat multas trochleas, aut etiam lon­<lb/>gißimum vectem maximus e&longs;t v&longs;us. </s> |
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| <s id="id.002152"><expan abbr="Quandoquid&etilde;">Quandoquidem</expan> cum materia ad <lb/>vectem, cuius longitudo vnius &longs;tadÿ requireretur, idonea <expan abbr="nu&longs;quã">nu&longs;quam</expan> in­<lb/>ueniri poßit, plurium tamen trochlearum, ergatarum, &longs;ucularum, <lb/>tympanorum, collopum compo&longs;itione apta proportionalium, fiet ma­<lb/>china tractabilis, cuius vis maior e&longs;&longs;e pote&longs;t: quam vectis, cuius lon­<lb/>gitudo e&longs;&longs;et &longs;tadÿ vnius. </s> | <s id="id.002152"><expan abbr="Quandoquid&etilde;">Quandoquidem</expan> cum materia ad <lb/>vectem, cuius longitudo vnius &longs;tadÿ requireretur, idonea <expan abbr="nu&longs;quã">nu&longs;quam</expan> in­<lb/>ueniri poßit, plurium tamen trochlearum, ergatarum, &longs;ucularum, <lb/>tympanorum, collopum compo&longs;itione apta proportionalium, fiet ma­<lb/>china tractabilis, cuius vis maior e&longs;&longs;e pote&longs;t: quam vectis, cuius lon­<lb/>gitudo e&longs;&longs;et &longs;tadÿ vnius. </s> |
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| <s id="id.002156">V aria e&longs;t obeli&longs;corum <lb/>materia, forma, & altitudo. </s> | <s id="id.002156">V aria e&longs;t obeli&longs;corum <lb/>materia, forma, & altitudo. </s> |
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| <s id="id.002157">Hic de quo agitur ex vno lapide, eoque <lb/>durißimo, qui pyrhopæcilos dicitur, quod punctis quibu&longs;dam ignei <lb/>coloris di&longs;tinctus &longs;it, ac varius vndique interluceat, &longs;ine notis hie­<lb/>roglyphicis (quod alÿs obeli&longs;cis frequens e&longs;t, per has regibus Ægypti <lb/>&longs;uas res ge&longs;tas memori<gap/> commendantibus) &longs;emper eadem forma, ea­<lb/>que quadrangulari ex infima &longs;ui parte minus ampla & &longs;patio&longs;a, ob <lb/>idque pulcherrima, cuius craßitudo, &longs;i Serlius antiquitatum Roma­<lb/>narum &longs;criptor rectè metitus e&longs;t, pedibus 9. minuti&longs;que 24. altitu­<lb/>do pedibus 85. &longs;ummaque demum craßitudo pedibus 6. & minutis<emph.end type="italics"/><lb/>8. <emph type="italics"/>comprehenditur, ad imanque ip&longs;ius radicem hæ literæ in epitaphÿ <lb/>ordinem dige&longs;tæ ac di&longs;tributæ legebantur.<emph.end type="italics"/></s></p><pb pagenum="140"/><p type="main"> | <s id="id.002157">Hic de quo agitur ex vno lapide, eoque <lb/>durißimo, qui pyrhopæcilos dicitur, quod punctis quibu&longs;dam ignei <lb/>coloris di&longs;tinctus &longs;it, ac varius vndique interluceat, &longs;ine notis hie­<lb/>roglyphicis (quod alÿs obeli&longs;cis frequens e&longs;t, per has regibus Ægypti <lb/>&longs;uas res ge&longs;tas memori<gap/> commendantibus) &longs;emper eadem forma, ea­<lb/>que quadrangulari ex infima &longs;ui parte minus ampla & &longs;patio&longs;a, ob <lb/>idque pulcherrima, cuius craßitudo, &longs;i Serlius antiquitatum Roma­<lb/>narum &longs;criptor rectè metitus e&longs;t, pedibus 9. minuti&longs;que 24. altitu­<lb/>do pedibus 85. &longs;ummaque demum craßitudo pedibus 6. & minutis<emph.end type="italics"/><lb/>8. <emph type="italics"/>comprehenditur, ad imanque ip&longs;ius radicem hæ literæ in epitaphÿ <lb/>ordinem dige&longs;tæ ac di&longs;tributæ legebantur.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.179.jpg" pagenum="140"/><p type="main"> |
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| <s id="id.002158">Diuo Cæ&longs;ari Diui Iulij. </s> | <s id="id.002158">Diuo Cæ&longs;ari Diui Iulij. </s> |
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| <s id="id.002166"><emph type="italics"/>Primum obeli&longs;cus validi&longs;simis octo columnis per latera circum­<lb/>uallatus e&longs;t, hæ concathenatæ, atque alÿs &longs;uccre&longs;centibus & conne­<lb/>xis apicem obeli&longs;ci ad &longs;ix palmos præcellebant. </s> | <s id="id.002166"><emph type="italics"/>Primum obeli&longs;cus validi&longs;simis octo columnis per latera circum­<lb/>uallatus e&longs;t, hæ concathenatæ, atque alÿs &longs;uccre&longs;centibus & conne­<lb/>xis apicem obeli&longs;ci ad &longs;ix palmos præcellebant. </s> |
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| <s id="id.002167">His totidem fa&longs;tigia<emph.end type="italics"/><pb pagenum="141"/><emph type="italics"/>&longs;uperimpo&longs;ita, à quibus perpetuæ intrà extrá que &longs;uccedentes fulctu­<lb/>ræ &longs;tatuta tigna &longs;u&longs;tentabant, &longs;ic enim ca&longs;ui & in&longs;lexionibus pro­<lb/>&longs;pectum. </s> | <s id="id.002167">His totidem fa&longs;tigia<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.180.jpg" pagenum="141"/><emph type="italics"/>&longs;uperimpo&longs;ita, à quibus perpetuæ intrà extrá que &longs;uccedentes fulctu­<lb/>ræ &longs;tatuta tigna &longs;u&longs;tentabant, &longs;ic enim ca&longs;ui & in&longs;lexionibus pro­<lb/>&longs;pectum. </s> |
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| <s id="id.002168">Tota hæc machina validi&longs;simis laminis, ferrei&longs;que clauis à <lb/>vertice ad calcem religata, plurimis & retinaculis, & ductarÿs fu­<lb/>nibus vndequaque &longs;uffulta. </s> | <s id="id.002168">Tota hæc machina validi&longs;simis laminis, ferrei&longs;que clauis à <lb/>vertice ad calcem religata, plurimis & retinaculis, & ductarÿs fu­<lb/>nibus vndequaque &longs;uffulta. </s> |
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| <s id="id.002181">po&longs;tquam ad aliquot <lb/>dies, ne funes nimio calore conflagrarent, ob motum, & aëris æ&longs;t<gap/>o­<lb/>&longs;am tunctemporis con&longs;titutionem, ce&longs;&longs;atum e&longs;t, tandem eadem ma­<lb/>china, qua auul&longs;us: &longs;ed altiore propter loci eminentiam, externo in­<lb/>ternoque chomate muniti&longs;sima, adhibitis ergatis quadraginta &longs;ex, <lb/>equis centum quadraginta, hominibus &longs;excentis, ex ergati&longs;que qua­<lb/>tuor imam obeli&longs;ci partem <expan abbr="trah&etilde;tibus">trahentibus</expan>. </s> | <s id="id.002181">po&longs;tquam ad aliquot <lb/>dies, ne funes nimio calore conflagrarent, ob motum, & aëris æ&longs;t<gap/>o­<lb/>&longs;am tunctemporis con&longs;titutionem, ce&longs;&longs;atum e&longs;t, tandem eadem ma­<lb/>china, qua auul&longs;us: &longs;ed altiore propter loci eminentiam, externo in­<lb/>ternoque chomate muniti&longs;sima, adhibitis ergatis quadraginta &longs;ex, <lb/>equis centum quadraginta, hominibus &longs;excentis, ex ergati&longs;que qua­<lb/>tuor imam obeli&longs;ci partem <expan abbr="trah&etilde;tibus">trahentibus</expan>. </s> |
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| <s id="id.002182">Reliquæ à cu&longs;pide ad medium<emph.end type="italics"/><pb pagenum="142"/><emph type="italics"/>religatum erexerunt, atque tandem quadraginta &longs;eptem ni&longs;ibus &longs;te­<lb/>tit moles. </s> | <s id="id.002182">Reliquæ à cu&longs;pide ad medium<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.181.jpg" pagenum="142"/><emph type="italics"/>religatum erexerunt, atque tandem quadraginta &longs;eptem ni&longs;ibus &longs;te­<lb/>tit moles. </s> |
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| <s id="id.002183">Cubi, quibus antea in&longs;idebat, &longs;uppo&longs;iti, & in omnis &longs;eculi <lb/>memoriam iam quinquaginta &longs;ex & amplius doctorum hominum <lb/>&longs;criptis editis celebrata, ad perpendiculum collocata e&longs;t. </s> | <s id="id.002183">Cubi, quibus antea in&longs;idebat, &longs;uppo&longs;iti, & in omnis &longs;eculi <lb/>memoriam iam quinquaginta &longs;ex & amplius doctorum hominum <lb/>&longs;criptis editis celebrata, ad perpendiculum collocata e&longs;t. </s> |
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| <s id="id.002195"><emph type="italics"/>Gulielmus Blancus Albien&longs;i. </s> | <s id="id.002195"><emph type="italics"/>Gulielmus Blancus Albien&longs;i. </s> |
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| <s id="id.002196">I. C.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="143"/><figure/><p type="caption"> | <s id="id.002196">I. C.<emph.end type="italics"/><!-- KEEP S--></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.182.jpg" pagenum="143"/><figure id="id.035.01.182.1.jpg" xlink:href="http://archimedes.fas.harvard.edu/images/035-01-figures/035.01.182.1.jpg"/><p type="caption"> |
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| <s id="id.002197">Sancti&longs;&longs;imæ Cruci &longs;acra­<lb/>uit Sixtus V. Pont. <!-- REMOVE S-->Max. <lb/><!-- REMOVE S-->è priore &longs;ede auul&longs;um & <lb/>Cæ&longs;aribus Aug. <!-- REMOVE S-->& Tib. <lb/><!-- REMOVE S-->11.ablatum.</s> | <s id="id.002197">Sancti&longs;&longs;imæ Cruci &longs;acra­<lb/>uit Sixtus V. Pont. <!-- REMOVE S-->Max. <lb/><!-- REMOVE S-->è priore &longs;ede auul&longs;um & <lb/>Cæ&longs;aribus Aug. <!-- REMOVE S-->& Tib. <lb/><!-- REMOVE S-->11.ablatum.</s> |
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| <s id="id.002213">Ann. <!-- REMOVE S-->M.D. LXXXV. Pont<!-- KEEP S--></s> | <s id="id.002213">Ann. <!-- REMOVE S-->M.D. LXXXV. Pont<!-- KEEP S--></s> |
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| </p><pb pagenum="144"/><p type="main"> | </p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.183.jpg" pagenum="144"/><p type="main"> |
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| <s id="id.002214"><gap/></s></p><p type="main"> | <s id="id.002214"><gap/></s></p><p type="main"> |
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| <s id="id.002225"><emph type="italics"/>Sed graue commotum, vt magna &longs;ecuris feriens, duplici <lb/>motione mouetur, vna grauitatis propriæ: altera percu­<lb/>tientis. </s> | <s id="id.002225"><emph type="italics"/>Sed graue commotum, vt magna &longs;ecuris feriens, duplici <lb/>motione mouetur, vna grauitatis propriæ: altera percu­<lb/>tientis. </s> |
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| <s id="id.002226">Graue autem impo&longs;itum vna tantum mouetur, <lb/>nempe grauitatis propriæ.<emph.end type="italics"/></s></p><pb pagenum="145"/><p type="main"> | <s id="id.002226">Graue autem impo&longs;itum vna tantum mouetur, <lb/>nempe grauitatis propriæ.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.184.jpg" pagenum="145"/><p type="main"> |
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| <s id="id.002227"><emph type="italics"/>Ergo magna &longs;ecuris feriens &longs;ecabit: impo&longs;ita vero minimè.<emph.end type="italics"/></s></p><p type="main"> | <s id="id.002227"><emph type="italics"/>Ergo magna &longs;ecuris feriens &longs;ecabit: impo&longs;ita vero minimè.<emph.end type="italics"/></s></p><p type="main"> |
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| <s id="id.002248">Solutionem <lb/>hanc reprehendit Scaliger, con&longs;entitque cum Ari&longs;totele motum mo-<emph.end type="italics"/><lb/><arrow.to.target n="marg35"/><lb/><emph type="italics"/>uere, & &longs;ecurim, &longs;i comprimatur manu, &longs;ecare propter nixum: multo <lb/>magis &longs;i ictu adigatur, & ex Ioanne Iucundo proponit aliud proble­<lb/>ma dignum quæ&longs;itu. </s> | <s id="id.002248">Solutionem <lb/>hanc reprehendit Scaliger, con&longs;entitque cum Ari&longs;totele motum mo-<emph.end type="italics"/><lb/><arrow.to.target n="marg35"/><lb/><emph type="italics"/>uere, & &longs;ecurim, &longs;i comprimatur manu, &longs;ecare propter nixum: multo <lb/>magis &longs;i ictu adigatur, & ex Ioanne Iucundo proponit aliud proble­<lb/>ma dignum quæ&longs;itu. </s> |
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| <s id="id.002249">Quot pondo proportionem habeat pugnus ho­<lb/>minis ferientis, cum &longs;eip&longs;o non feriente comparatus.<emph.end type="italics"/></s></p><pb pagenum="146"/><p type="margin"> | <s id="id.002249">Quot pondo proportionem habeat pugnus ho­<lb/>minis ferientis, cum &longs;eip&longs;o non feriente comparatus.<emph.end type="italics"/></s></p><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.185.jpg" pagenum="146"/><p type="margin"> |
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| <s id="id.002250"><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s></p><p type="margin"> | <s id="id.002250"><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s></p><p type="margin"> |
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| <s id="id.002264">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> | <s id="id.002264">COMMENTARIVS.<!-- KEEP S--></s></p><p type="main"> |
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| <s id="id.002265">De &longs;tateris.] <foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>apud Græcos multa &longs;ignificat vt in­<lb/>ternodium in digitis, ordinem & agmem militare longius <lb/>quam latius, ligna teretia, quibus naues in mare deuoluuntur: &longs;ed hîc<emph.end type="italics"/><pb pagenum="147"/><emph type="italics"/>&longs;ignificat libræ genus, quod trutina, ab alÿs &longs;tatera appellatur. </s> | <s id="id.002265">De &longs;tateris.] <foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>apud Græcos multa &longs;ignificat vt in­<lb/>ternodium in digitis, ordinem & agmem militare longius <lb/>quam latius, ligna teretia, quibus naues in mare deuoluuntur: &longs;ed hîc<emph.end type="italics"/><pb xlink:href="http://archimedes.fas.harvard.edu/images/035-01-pageimg/035.01.186.jpg" pagenum="147"/><emph type="italics"/>&longs;ignificat libræ genus, quod trutina, ab alÿs &longs;tatera appellatur. </s> |
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| <s id="id.002266">Huitis <lb/>partes quatuor &longs;unt A B &longs;capus, C D an&longs;a, A E harpago vel <lb/>lanx, F G<emph.end type="italics"/><lb/><figure id="fig53"/><lb/><emph type="italics"/><expan abbr="æquipõdium">æquipondium</expan> <lb/>Græcis di­<lb/>ctum<emph.end type="italics"/&g |
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