| version 1.7, 2004/03/24 21:09:57 |
version 1.11, 2007/05/25 17:52:42 |
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| <pb xlink:href="009/01/001.jpg" /> | <pb xlink:href="009/01/001.jpg" /> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000001">ARISTOTELIS <lb/>LOCA MATHEMATICA <lb/> | <s id="s.000001">ARISTOTELIS <lb/>LOCA MATHEMATICA <lb/> |
| Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/> | Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/> |
| & explicata.</s> | & explicata.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000002"><emph type="italics"/>Aristotelicæ videlicet expo&longs;itionis complementum <lb/> | <s id="s.000002"><emph type="italics"/>Aristotelicæ videlicet expo&longs;itionis complementum <lb/> |
| hactenus de&longs;ideratum.<emph.end type="italics"/></s> | hactenus de&longs;ideratum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000003">Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/> | <s id="s.000003">Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/> |
| <expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s> | <expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000004"><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i è Societate Ie&longs;u, <lb/> | <s id="s.000004"><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i è Societate Ie&longs;u, <lb/> |
| Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s> | Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000005">Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum <lb/>PETRVMFRANCISCVM MALASPINAM <lb/> | <s id="s.000005">Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum <lb/>PETRVM FRANCISCVM MALASPINAM <lb/> |
| Aedificiorum Marchionem, apud Cæ&longs;. <!-- REMOVE S-->Maie&longs;tatem <lb/> | Aedificiorum Marchionem, apud Cæ&longs;. <!-- REMOVE S-->Maie&longs;tatem <lb/> |
| pro Sereni&longs;s. <!-- REMOVE S-->Parmen&longs;ium Duce Legatum.</s> | pro Sereni&longs;s. <!-- REMOVE S-->Parmen&longs;ium Duce Legatum.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000006">BONONIÆ M. <!-- REMOVE S-->D C. <!-- KEEP S--><!-- REMOVE S-->X V.<!-- KEEP S--></s> | <s id="s.000006">BONONIÆ M. <!-- REMOVE S-->D C. <!-- KEEP S--><!-- REMOVE S-->X V.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000007">Apud Bartholomæum Cochium. <!-- KEEP S--></s> | <s id="s.000007">Apud Bartholomæum Cochium. <!-- KEEP S--></s> |
| <s id="id.000008">Superiorum permi&longs;&longs;u.</s> | <s id="s.000008">Superiorum permi&longs;&longs;u.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000009">Sumptibus Hieronymi Tamburini.</s> | <s id="s.000009">Sumptibus Hieronymi Tamburini.</s> |
| </p> | </p> |
| <pb xlink:href="009/01/002.jpg" /> | <pb xlink:href="009/01/002.jpg" /> |
| <pb xlink:href="009/01/003.jpg" pagenum="3" /> | <pb pagenum="3" xlink:href="009/01/003.jpg"/> |
| </section> | </section> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000010">ILLVSTRISSIMO <lb/>AC NOBILISSIMO <lb/> | <s id="s.000010">ILLVSTRISSIMO <lb/>AC NOBILISSIMO <lb/>PETRO FRANCISCO <lb/>MALASPINAE <lb/> |
| PETROFRANCISCO <lb/>MALASPINAE <lb/> | |
| ÆDIFICIORVM MARCHIONI.</s> | ÆDIFICIORVM MARCHIONI.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000011"><emph type="italics"/>En tandem Illustriß. <!-- REMOVE S-->Marchio opus no­<lb/> | <s id="s.000011"><emph type="italics"/>En tandem Illustriß. <!-- REMOVE S-->Marchio opus no­<lb/> |
| strum de Locis Mathematicis apud Ari­<lb/> | strum de Locis Mathematicis apud Ari­<lb/> |
| stotelem, vnà cum Tractatione de natura <lb/> | stotelem, vnà cum Tractatione de natura <lb/> |
| &longs;cientiarum Mathematicarum, necnon <lb/> | &longs;cientiarum Mathematicarum, necnon <lb/> |
| |
| quod tibi Mecœnati meo munificenti&longs;simo iure meritò <lb/> | quod tibi Mecœnati meo munificenti&longs;simo iure meritò <lb/> |
| dicare, ac &longs;ub clarißimi tui nominis patrocinio in lucem <lb/> | dicare, ac &longs;ub clarißimi tui nominis patrocinio in lucem <lb/> |
| dare con&longs;titui. </s> | dare con&longs;titui. </s> |
| <s id="id.000012">primùm quidem, vt mei perpetui erga te <lb/> | <s id="s.000012">primùm quidem, vt mei perpetui erga te <lb/> |
| amoris, & ob&longs;eruantiæ hoc vnum &longs;altem specimen exta­<lb/> | amoris, & ob&longs;eruantiæ hoc vnum &longs;altem specimen exta­<lb/> |
| ret: tùm vt idoneum, æquumque propo&longs;itæ rei iudicem <lb/> | ret: tùm vt idoneum, æquumque propo&longs;itæ rei iudicem <lb/> |
| nanci&longs;cerer. </s> | nanci&longs;cerer. </s> |
| <s id="id.000013">cùm enim adiu&longs;tum <expan abbr="arbitrũ">arbitrum</expan> duo potißimùm <lb/> | <s id="s.000013">cùm enim ad iu&longs;tum <expan abbr="arbitrũ">arbitrum</expan> duo potißimùm <lb/> |
| requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/> | requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/> |
| te rei, de qua agitur peritiorem, quemuè prudentiorem <lb/> | te rei, de qua agitur peritiorem, quemuè prudentiorem <lb/> |
| inuenire potuerim? </s> | inuenire potuerim? </s> |
| <s id="id.000014">tu enim cùm Phy&longs;iologiæ, ac Mathe­<lb/> | <s id="s.000014">tu enim cùm Phy&longs;iologiæ, ac Mathe­<lb/> |
| maticarum omnium Encyclopædiam mirum in modum<emph.end type="italics"/> <pb xlink:href="009/01/004.jpg" pagenum="4" /><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/> | maticarum omnium Encyclopædiam mirum in modum<emph.end type="italics"/> <pb pagenum="4" xlink:href="009/01/004.jpg"/><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/> |
| per&longs;ua&longs;i&longs;ti, vt Archimedis, & Apollonij admirandis, ac <lb/> | per&longs;ua&longs;i&longs;ti, vt Archimedis, & Apollonij admirandis, ac <lb/> |
| &longs;ubtilißimis Demon&longs;trationibus detinearis. </s> | &longs;ubtilißimis Demon&longs;trationibus detinearis. </s> |
| <s id="id.000015">Quanta por­<lb/> | <s id="s.000015">Quanta por­<lb/> |
| rò in rebus agendis prudentia valeas, toti penè Europæ <lb/> | rò in rebus agendis prudentia valeas, toti penè Europæ <lb/> |
| innotuit, cùm pro no&longs;tris Sereniß. <!-- REMOVE S-->Ducibus, non &longs;olùm ad <lb/> | innotuit, cùm pro no&longs;tris Sereniß. <!-- REMOVE S-->Ducibus, non &longs;olùm ad <lb/> |
| omnes ferè Italiæ, atque Germaniæ Principes, verùm etiam <lb/> | omnes ferè Italiæ, atque Germaniæ Principes, verùm etiam <lb/> |
| ad Cæ&longs;aream Maie&longs;tatem rebus fœliciter ge&longs;tis Legatus <lb/> | ad Cæ&longs;aream Maie&longs;tatem rebus fœliciter ge&longs;tis Legatus <lb/> |
| decimùm extiteris; ac demùm à Sereniß. <!-- REMOVE S-->Duce Ranutio <lb/> | decimùm extiteris; ac demùm à Sereniß. <!-- REMOVE S-->Duce Ranutio <lb/> |
| inter primarios de Rep. <!-- KEEP S--></s> | inter primarios de Rep. <!-- KEEP S--></s> |
| <s id="id.000016">Con&longs;iliorum Authores ad&longs;citus <lb/> | <s id="s.000016">Con&longs;iliorum Authores ad&longs;citus <lb/> |
| fueris. </s> | fueris. </s> |
| <s id="id.000017">Cæterùm in Clarorum Mathematicorum Chro­<lb/> | <s id="s.000017">Cæterùm in Clarorum Mathematicorum Chro­<lb/> |
| nologia perlegenda, &longs;æpißimè tibi nobilißimi æquè, ac do­<lb/> | nologia perlegenda, &longs;æpißimè tibi nobilißimi æquè, ac do­<lb/> |
| ctißimi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/> | ctißimi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/> |
| nonni&longs;i gratißimum accidere po&longs;&longs;e arbitror. </s> | nonni&longs;i gratißimum accidere po&longs;&longs;e arbitror. </s> |
| <s id="id.000018">Complectere <lb/> | <s id="s.000018">Complectere <lb/> |
| igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu­<lb/> | igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu­<lb/> |
| dia promouere, mea hæc quantulacumque munu&longs;cula. <lb/> | dia promouere, mea hæc quantulacumque munu&longs;cula. <lb/> |
| </s> | </s> |
| <s id="id.000019">quæ &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma­<lb/> | <s id="s.000019">quæ &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma­<lb/> |
| ximorum munerum loco habenda e&longs;&longs;e cen&longs;e­<lb/> | ximorum munerum loco habenda e&longs;&longs;e cen&longs;e­<lb/> |
| bo. </s> | bo. </s> |
| <s id="id.000020">incolumem tibi, ac fœlicem D. Opt. <lb/> | <s id="s.000020">incolumem tibi, ac fœlicem D. Opt. <lb/> |
| <!-- REMOVE S-->Max. <!-- REMOVE S-->longæuitatem tueatur. <lb/> | <!-- REMOVE S-->Max. <!-- REMOVE S-->longæuitatem tueatur. <lb/> |
| </s> | </s> |
| <s id="id.000021">Vale.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000021">Vale.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000022"><emph type="italics"/>Parmæ Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/> | <s id="s.000022"><emph type="italics"/>Parmæ Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/> |
| <!-- KEEP S--></s> | <!-- KEEP S--></s> |
| </p> | </p> |
| </section> | </section> |
| <pb xlink:href="009/01/005.jpg" pagenum="5" /> | <pb pagenum="5" xlink:href="009/01/005.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000023">Liber de &longs;e ip&longs;o.</s> | <s id="s.000023">Liber de &longs;e ip&longs;o.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000024"><emph type="italics"/>Nec di&longs;cet Lector me &longs;olo interprete totum, <lb/> | <s id="s.000024"><emph type="italics"/>Nec di&longs;cet Lector me &longs;olo interprete totum, <lb/> |
| Nec &longs;ine me totum di&longs;cet Aristotelem.<emph.end type="italics"/><!-- KEEP S--></s> | Nec &longs;ine me totum di&longs;cet Aristotelem.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000025">Ego Iordanus Ca&longs;&longs;ini Præpo&longs;itus Prouincialis Prouinciæ Venetæ Societatis <lb/> | <s id="s.000025">Ego Iordanus Ca&longs;&longs;ini Præpo&longs;itus Prouincialis Prouinciæ Venetæ Societatis <lb/> |
| Ie&longs;u, ex auctoritate Adm. <!-- REMOVE S-->Reuer. <!-- REMOVE S-->P. no&longs;tro Præpo&longs;iti Generalis P. <!-- REMOVE S-->Claudij <lb/> | Ie&longs;u, ex auctoritate Adm. <!-- REMOVE S-->Reuer. <!-- REMOVE S-->P. no&longs;tro Præpo&longs;iti Generalis P. <!-- REMOVE S-->Claudij <lb/> |
| Aquæuiuæ, facultatem concedo, vt hoc opus P. <!-- REMOVE S-->Io&longs;ephi Blancani eiu&longs;dem <lb/> | Aquæuiuæ, facultatem concedo, vt hoc opus P. <!-- REMOVE S-->Io&longs;ephi Blancani eiu&longs;dem <lb/> |
| Societatis, quod in&longs;cribitur, Ari&longs;t. Loca Mathematica ex vniuer&longs;is ip&longs;ius <lb/> | Societatis, quod in&longs;cribitur, Ari&longs;t. Loca Mathematica ex vniuer&longs;is ip&longs;ius <lb/> |
| operibus collecta, & explicata, à deputatis Patribus recognitum, & ap­<lb/> | operibus collecta, & explicata, à deputatis Patribus recognitum, & ap­<lb/> |
| probatum typis mandari po&longs;&longs;it. </s> | probatum typis mandari po&longs;&longs;it. </s> |
| <s id="id.000026">Parmæ die 15. Ianuarij 1615.</s> | <s id="s.000026">Parmæ die 15. Ianuarij 1615.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000027"><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/><!-- REMOVE S--><lb/> | <s id="s.000027"><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/><!-- REMOVE S--><lb/> |
| Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s> | Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s> |
| <s id="id.000028">& Reuerendi&longs;s. <!-- REMOVE S-->Archiepi&longs;c. <!-- REMOVE S-->Bonon.</s> | <s id="s.000028">& Reuerendi&longs;s. <!-- REMOVE S-->Archiepi&longs;c. <!-- REMOVE S-->Bonon.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000029">Imprimatur</s> | <s id="s.000029">Imprimatur</s> |
| <s id="id.000030">Fr. <!-- REMOVE S-->Hieronymus Onuphrius pro Reuerendi&longs;s. <!-- REMOVE S-->P. <!-- REMOVE S-->Inqui&longs;itore Bonon.</s> | <s id="s.000030">Fr. <!-- REMOVE S-->Hieronymus Onuphrius pro Reuerendi&longs;s. <!-- REMOVE S-->P. <!-- REMOVE S-->Inqui&longs;itore Bonon.</s> |
| </p> | </p> |
| </section> | </section> |
| <pb xlink:href="009/01/006.jpg" pagenum="6" /> | <pb pagenum="6" xlink:href="009/01/006.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000031">LECTORI.</s> | <s id="s.000031">LECTORI.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000032">Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um­<lb/> | <s id="s.000032">Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um­<lb/> |
| mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr­<lb/> | mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr­<lb/> |
| næus in Platonis Dialogis egregiè perfecerunt, vt videli­<lb/> | næus in Platonis Dialogis egregiè perfecerunt, vt videli­<lb/> |
| cet quæ pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati­<lb/> | cet quæ pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati­<lb/> |
| |
| qui pri&longs;ca illa con&longs;uetudine relicta, Mathematicarum omnium ignari <lb/> | qui pri&longs;ca illa con&longs;uetudine relicta, Mathematicarum omnium ignari <lb/> |
| non &longs;ine graui &longs;tudiorum &longs;uorum detrimento Philo&longs;ophiæ curriculum <lb/> | non &longs;ine graui &longs;tudiorum &longs;uorum detrimento Philo&longs;ophiæ curriculum <lb/> |
| aggrediuntur. </s> | aggrediuntur. </s> |
| <s id="id.000033">Vt autem huius operis nece&longs;&longs;itas, <expan abbr="variæ&qacute;">variæque</expan>; vtilitates pla­<lb/> | <s id="s.000033">Vt autem huius operis nece&longs;&longs;itas, <expan abbr="variæ&qacute;">variæque</expan>; vtilitates pla­<lb/> |
| nius cogno&longs;cantur operæpretium erit initio illius cau&longs;as exponere; quæ <lb/> | nius cogno&longs;cantur operæpretium erit initio illius cau&longs;as exponere; quæ <lb/> |
| me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s> | me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000034">Prima &longs;it, quod hæc Ari&longs;t. loca Mathematica, quæ quidem ferè 408. <lb/> | <s id="s.000034">Prima &longs;it, quod hæc Ari&longs;t. loca Mathematica, quæ quidem ferè 408. <lb/> |
| numerantur, pe&longs;&longs;imè latinis literis con&longs;ignata &longs;unt v&longs;que adeò, vt Ari­<lb/> | numerantur, pe&longs;&longs;imè latinis literis con&longs;ignata &longs;unt v&longs;que adeò, vt Ari­<lb/> |
| &longs;totelem ip&longs;um, vel inuitum (quod po&longs;tea multis in locis planum fiet) in <lb/> | &longs;totelem ip&longs;um, vel inuitum (quod po&longs;tea multis in locis planum fiet) in <lb/> |
| ab&longs;urdi&longs;&longs;ima errata &longs;æpi&longs;&longs;imè compellant.</s> | ab&longs;urdi&longs;&longs;ima errata &longs;æpi&longs;&longs;imè compellant.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000035">Secunda, quòd plurima huiu&longs;modi loca à nemine, quod &longs;ciam, adhuc <lb/> | <s id="s.000035">Secunda, quòd plurima huiu&longs;modi loca à nemine, quod &longs;ciam, adhuc <lb/> |
| declarata in tenebris magno no&longs;trorum malo delite&longs;cunt: cuiu&longs;modi <lb/> | declarata in tenebris magno no&longs;trorum malo delite&longs;cunt: cuiu&longs;modi <lb/> |
| &longs;unt ad &longs;exaginta problemata, libellus de lineis in &longs;ecabilibus, libellus <lb/> | &longs;unt ad &longs;exaginta problemata, libellus de lineis in &longs;ecabilibus, libellus <lb/> |
| de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, & Mechanicæ quæ&longs;tiones, quamuis <lb/> | de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, & Mechanicæ quæ&longs;tiones, quamuis <lb/> |
| enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif­<lb/> | enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif­<lb/> |
| ficiliora non &longs;atis illu&longs;trauit. </s> | ficiliora non &longs;atis illu&longs;trauit. </s> |
| <s id="id.000036">Vt autem dixi 408. in vniuer&longs;um loca mi­<lb/> | <s id="s.000036">Vt autem dixi 408. in vniuer&longs;um loca mi­<lb/> |
| nimùm numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/> | nimùm numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/> |
| udei/s eisi/to</foreign>; & in quibus Mathematicæ di&longs;ciplinæ rudes, & imperiti, quem <lb/> | udei/s eisi/to</foreign>; & in quibus Mathematicæ di&longs;ciplinæ rudes, & imperiti, quem <lb/> |
| &longs;equuntur ducem Ari&longs;t. eum &longs;æpe de&longs;erere non &longs;ine turpi dedecoris no­<lb/> | &longs;equuntur ducem Ari&longs;t. eum &longs;æpe de&longs;erere non &longs;ine turpi dedecoris no­<lb/> |
| |
| obducant.</s> | obducant.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000037">Tertia, quia Græci eorumdem locorum commentatores breuiter, & <lb/> | <s id="s.000037">Tertia, quia Græci eorumdem locorum commentatores breuiter, & <lb/> |
| ob&longs;curè admodum ea, quæ ad Mathematicum &longs;pectant, attingunt, hoc <lb/> | ob&longs;curè admodum ea, quæ ad Mathematicum &longs;pectant, attingunt, hoc <lb/> |
| enim ab ip&longs;is <expan abbr="certũ">certum</expan> ponitur, Lectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/> | enim ab ip&longs;is <expan abbr="certũ">certum</expan> ponitur, Lectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/> |
| Philo &longs;ophorum, Mathematicis imbutum; at verò no&longs;tra ætate magna <lb/> | Philo &longs;ophorum, Mathematicis imbutum; at verò no&longs;tra ætate magna <lb/> |
| |
| tuti præ&longs;idijs, ne Græcorum quidem Interpretum explanationes, ne­<lb/> | tuti præ&longs;idijs, ne Græcorum quidem Interpretum explanationes, ne­<lb/> |
| dum Ari&longs;t. ob&longs;curè dicta intelligunt.</s> | dum Ari&longs;t. ob&longs;curè dicta intelligunt.</s> |
| </p> | </p> |
| <pb xlink:href="009/01/007.jpg" pagenum="7" /> | <pb pagenum="7" xlink:href="009/01/007.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000038">Quarta. </s> | <s id="s.000038">Quarta. </s> |
| <s id="id.000039">Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati­<lb/> | <s id="s.000039">Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati­<lb/> |
| corum puluere con&longs;per&longs;us, adeò tamen peruer&longs;a e&longs;t eorumdem Græco­<lb/> | corum puluere con&longs;per&longs;us, adeò tamen peruer&longs;a e&longs;t eorumdem Græco­<lb/> |
| rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, quæ nece&longs;&longs;ariæ erant <lb/> | rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, quæ nece&longs;&longs;ariæ erant <lb/> |
| confu&longs;io, & deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/> | confu&longs;io, & deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/> |
| excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s> | excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s> |
| <s id="id.000040">Quin etiam figuræ illæ, quæ <lb/> | <s id="s.000040">Quin etiam figuræ illæ, quæ <lb/> |
| omnino nece&longs;&longs;ariæ &longs;unt ob Scriptorum, & Typographorum in&longs;citiam, <lb/> | omnino nece&longs;&longs;ariæ &longs;unt ob Scriptorum, & Typographorum in&longs;citiam, <lb/> |
| aut inertiam pluribus in locis de&longs;iderantur. </s> | aut inertiam pluribus in locis de&longs;iderantur. </s> |
| <s id="id.000041">Latini verò multo minus, <lb/> | <s id="s.000041">Latini verò multo minus, <lb/> |
| quàm Græci Mathematicæ periti, qua ratione eadem loca pertractaue­<lb/> | quàm Græci Mathematicæ periti, qua ratione eadem loca pertractaue­<lb/> |
| rint, facilius e&longs;t conijcere, quàm vt dici oporteat.</s> | rint, facilius e&longs;t conijcere, quàm vt dici oporteat.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000042">Quinta. </s> | <s id="s.000042">Quinta. </s> |
| <s id="id.000043">Ex his omnibus in aliud incommodum, vel maximum Phi­<lb/> | <s id="s.000043">Ex his omnibus in aliud incommodum, vel maximum Phi­<lb/> |
| lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta­<lb/> | lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta­<lb/> |
| citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t. percipiendam <lb/> | citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t. percipiendam <lb/> |
| &longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;­<lb/> | &longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;­<lb/> |
| &longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s> | &longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s> |
| <s id="id.000044">Eorum verò nonnulli eorumdem <lb/> | <s id="s.000044">Eorum verò nonnulli eorumdem <lb/> |
| locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri­<lb/> | locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri­<lb/> |
| les illæ, ac ridiculæ expo&longs;itiones pa&longs;&longs;im auditæ, cuiu&longs;modi e&longs;t illa, quan­<lb/> | les illæ, ac ridiculæ expo&longs;itiones pa&longs;&longs;im auditæ, cuiu&longs;modi e&longs;t illa, quan­<lb/> |
| do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha­<lb/> | do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha­<lb/> |
| bet tres; nihil aliud &longs;ignificari volunt, quàm omnem triangulum habe­<lb/> | bet tres; nihil aliud &longs;ignificari volunt, quàm omnem triangulum habe­<lb/> |
| re tres angulos. </s> | re tres angulos. </s> |
| <s id="id.000045">quod &longs;i dicat, omnis triangulus habet tres æquales duo­<lb/> | <s id="s.000045">quod &longs;i dicat, omnis triangulus habet tres æquales duo­<lb/> |
| bus rectis: hic hærent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/> | bus rectis: hic hærent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/> |
| &longs;e minimè expedire valeant, aurea verba illa, quibus ingentes &longs;apientiæ <lb/> | &longs;e minimè expedire valeant, aurea verba illa, quibus ingentes &longs;apientiæ <lb/> |
| the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/> | the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/> |
| cogit in&longs;citia: vnde illud, quod Græcæ linguæ imperitis mutata oratio­<lb/> | cogit in&longs;citia: vnde illud, quod Græcæ linguæ imperitis mutata oratio­<lb/> |
| ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s> | ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s> |
| <s id="id.000046">Nec mi­<lb/> | <s id="s.000046">Nec mi­<lb/> |
| nus elegans illa altera expo&longs;itio; Diametrum e&longs;&longs;e incommen&longs;urabilem <lb/> | nus elegans illa altera expo&longs;itio; Diametrum e&longs;&longs;e incommen&longs;urabilem <lb/> |
| co&longs;tæ; quod &longs;æpe apud Ari&longs;t. legentibus occurrit, nihil aliud &longs;ibi velle, <lb/> | co&longs;tæ; quod &longs;æpe apud Ari&longs;t. legentibus occurrit, nihil aliud &longs;ibi velle, <lb/> |
| quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetriæ huius <lb/> | quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetriæ huius <lb/> |
| ignorantiam Plato de legibus dial. </s> | ignorantiam Plato de legibus dial. 7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco­<lb/> |
| <s id="id.000047">7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco­<lb/> | |
| rumque</expan> appellare non dubitauit. </s> | rumque</expan> appellare non dubitauit. </s> |
| <s id="id.000048">Quid illa? </s> | <s id="s.000047">Quid illa? </s> |
| <s id="id.000049">cum Ari&longs;t. ait duo cubi, cu­<lb/> | <s id="s.000048">cum Ari&longs;t. ait duo cubi, cu­<lb/> |
| bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in­<lb/> | bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in­<lb/> |
| uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/> | uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/> |
| </s> | </s> |
| <s id="id.000050">Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. <!-- REMOVE S-->15. quàm &longs;e Mathematicis, <lb/> | <s id="s.000049">Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. <!-- REMOVE S-->15. quàm &longs;e Mathematicis, <lb/> |
| reliqui&longs;que Philo&longs;ophis irridendum præbet dum à permutata propor­<lb/> | reliqui&longs;que Philo&longs;ophis irridendum præbet dum à permutata propor­<lb/> |
| tione putat &longs;erectè in hunc modum pluribus apud ip&longs;um verbis explica­<lb/> | tione putat &longs;erectè in hunc modum pluribus apud ip&longs;um verbis explica­<lb/> |
| tum, argumentari,</s> | tum, argumentari,</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000051"><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/> | <s id="s.000050"><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/> |
| It a voluntas antiqua ad effectum antiquum. <lb/> | It a voluntas antiqua ad effectum antiquum. <lb/> |
| </s> | </s> |
| <s id="id.000052">Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/> | <s id="s.000051">Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/> |
| antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s> | antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000053"><expan abbr="Spectatũ">Spectatum</expan> admi&longs;&longs;i ri&longs;um teneatis amici? </s> | <s id="s.000052"><expan abbr="Spectatũ">Spectatum</expan> admi&longs;&longs;i ri&longs;um teneatis amici? </s> |
| <s id="id.000054">nego, ait; qui&longs;piam con&longs;equen­ | <s id="s.000053">nego, ait; qui&longs;piam con&longs;equen­ |
| | |
| | |
| <pb xlink:href="009/01/008.jpg" pagenum="8" />tiam, non enim hoc e&longs;t argumentari à permutata ratione, deberet enim <lb/> | <pb pagenum="8" xlink:href="009/01/008.jpg"/>tiam, non enim hoc e&longs;t argumentari à permutata ratione, deberet enim <lb/> |
| inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad­<lb/> | inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad­<lb/> |
| modum effectus nouus ad antiquum. </s> | modum effectus nouus ad antiquum. </s> |
| <s id="id.000055">quæ vitio&longs;a argumentatio quan­<lb/> | <s id="s.000054">quæ vitio&longs;a argumentatio quan­<lb/> |
| tumuis læuis &longs;it, & manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o­<lb/> | tumuis læuis &longs;it, & manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o­<lb/> |
| phantes adeò tor&longs;it, vt adhuc torqueat.</s> | phantes adeò tor&longs;it, vt adhuc torqueat.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000056">Quanta autem mi&longs;eratione digni, qui publicè aliquando apud &longs;uos <lb/> | <s id="s.000055">Quanta autem mi&longs;eratione digni, qui publicè aliquando apud &longs;uos <lb/> |
| auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle­<lb/> | auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle­<lb/> |
| re conati &longs;unt, propterea quod illæ vi&longs;uales lineæ, illi anguli, illæ pyra­<lb/> | re conati &longs;unt, propterea quod illæ vi&longs;uales lineæ, illi anguli, illæ pyra­<lb/> |
| mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/> | mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/> |
| quædam opticorum figmenta. </s> | quædam opticorum figmenta. </s> |
| <s id="id.000057">Quì verò fieri potuit, vt non aduerterint <lb/> | <s id="s.000056">Quì verò fieri potuit, vt non aduerterint <lb/> |
| i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;æpius de lineis vi&longs;ualibus <lb/> | i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;æpius de lineis vi&longs;ualibus <lb/> |
| per&longs;pectiuum pertractare a&longs;&longs;erit, <expan abbr="di&longs;crimen&qacute;">di&longs;crimenque</expan>; inter lineam phy&longs;icam, & <lb/> | per&longs;pectiuum pertractare a&longs;&longs;erit, <expan abbr="di&longs;crimen&qacute;">di&longs;crimenque</expan>; inter lineam phy&longs;icam, & <lb/> |
| opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam veræ &longs;cientiæ mentionem <lb/> | opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam veræ &longs;cientiæ mentionem <lb/> |
| &longs;æpius facit.</s> | &longs;æpius facit.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000058">Alij ex altera parte contra A&longs;tronomos in &longs;urgunt, eccentricos, <expan abbr="atq;">atque</expan> <lb/> | <s id="s.000057">Alij ex altera parte contra A&longs;tronomos in &longs;urgunt, eccentricos, <expan abbr="atq;">atque</expan> <lb/> |
| epiciclos omnes de cœlo detrahere cupientes. </s> | epiciclos omnes de cœlo detrahere cupientes. </s> |
| <s id="id.000059">Verum id i&longs;ti nulla ex­<lb/> | <s id="s.000058">Verum id i&longs;ti nulla ex­<lb/> |
| pre&longs;&longs;a nedum probabili ratione faciunt, falsò exi&longs;timantes A&longs;tronomos <lb/> | pre&longs;&longs;a nedum probabili ratione faciunt, falsò exi&longs;timantes A&longs;tronomos <lb/> |
| admirandam illam Cœlorum fabricam a&longs;&longs;erere, non autem &longs;upponere: <lb/> | admirandam illam Cœlorum fabricam a&longs;&longs;erere, non autem &longs;upponere: <lb/> |
| &longs;ed a&longs;tronomi illam &longs;upponunt, <expan abbr="eam&qacute;">eamque</expan>; propterea hypothe&longs;im <expan abbr="appellãt">appellant</expan>, <lb/> | &longs;ed a&longs;tronomi illam &longs;upponunt, <expan abbr="eam&qacute;">eamque</expan>; propterea hypothe&longs;im <expan abbr="appellãt">appellant</expan>, <lb/> |
| non a&longs;&longs;erunt. </s> | non a&longs;&longs;erunt. </s> |
| <s id="id.000060">Quod &longs;i aliqua probabili ratione id facerent, vti nonnulli <lb/> | <s id="s.000059">Quod &longs;i aliqua probabili ratione id facerent, vti nonnulli <lb/> |
| ex recentioribus, quorum Ticho Coripheus e&longs;t, laudandi potius, quam <lb/> | ex recentioribus, quorum Ticho Coripheus e&longs;t, laudandi potius, quam <lb/> |
| vituperandi e&longs;&longs;ent. </s> | vituperandi e&longs;&longs;ent. </s> |
| <s id="id.000061">Impugnant <expan abbr="itaq;">itaque</expan> a&longs;tronomachi i&longs;ti hypothe&longs;im pro <lb/> | <s id="s.000060">Impugnant <expan abbr="itaq;">itaque</expan> a&longs;tronomachi i&longs;ti hypothe&longs;im pro <lb/> |
| a&longs;&longs;ertione; <expan abbr="tales&qacute;">talesque</expan>; &longs;æpè hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa­<lb/> | a&longs;&longs;ertione; <expan abbr="tales&qacute;">talesque</expan>; &longs;æpè hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa­<lb/> |
| tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s> | tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s> |
| <s id="id.000062">Nec defuit <lb/> | <s id="s.000061">Nec defuit <lb/> |
| qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui­<lb/> | qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui­<lb/> |
| bus contra A&longs;tronomos probare conatus e&longs;t, nullo modo Solem, aut <lb/> | bus contra A&longs;tronomos probare conatus e&longs;t, nullo modo Solem, aut <lb/> |
| Lunam moueri po&longs;&longs;e motibus contrarijs, ide&longs;t, ab oriente in <expan abbr="occid&etilde;tem">occidentem</expan> <lb/> | Lunam moueri po&longs;&longs;e motibus contrarijs, ide&longs;t, ab oriente in <expan abbr="occid&etilde;tem">occidentem</expan> <lb/> |
| motu diurno, & proprio ab occidente in orientem. </s> | motu diurno, & proprio ab occidente in orientem. </s> |
| <s id="id.000063">Sed exi&longs;timandum <lb/> | <s id="s.000062">Sed exi&longs;timandum <lb/> |
| e&longs;t <expan abbr="i&longs;tũ">i&longs;tum</expan> Lunam nouam à Sole quotidie magis, ac magis ver&longs;us orientem <lb/> | e&longs;t <expan abbr="i&longs;tũ">i&longs;tum</expan> Lunam nouam à Sole quotidie magis, ac magis ver&longs;us orientem <lb/> |
| recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor­<lb/> | recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor­<lb/> |
| diam didici&longs;&longs;et.</s> | diam didici&longs;&longs;et.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000064">Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om­<lb/> | <s id="s.000063">Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om­<lb/> |
| nium tamen <expan abbr="Mathematicarũ">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio­<lb/> | nium tamen <expan abbr="Mathematicarũ">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio­<lb/> |
| ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/> | ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/> |
| quo à Mathematicis effertur negare non erubuit, eò, quod in infinito, <lb/> | quo à Mathematicis effertur negare non erubuit, eò, quod in infinito, <lb/> |
| vt aiebat non concederetur ab omnibus. </s> | vt aiebat non concederetur ab omnibus. </s> |
| <s id="id.000065">&longs;cilicet non intelligebat ma­<lb/> | <s id="s.000064">&longs;cilicet non intelligebat ma­<lb/> |
| thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/> | thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/> |
| in qua axioma prædictum ab omnibus conceditur. </s> | in qua axioma prædictum ab omnibus conceditur. </s> |
| <s id="id.000066">Neque vero hic <lb/> | <s id="s.000065">Neque vero hic <lb/> |
| nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/> | nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/> |
| eò progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien­ | eò progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien­ |
| | |
| | |
| <pb xlink:href="009/01/009.jpg" pagenum="9" />tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu­<lb/> | <pb pagenum="9" xlink:href="009/01/009.jpg"/>tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu­<lb/> |
| gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/> | gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/> |
| quàm quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/> | quàm quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/> |
| quæ cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi­<lb/> | quæ cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi­<lb/> |
| bus vafrè per&longs;uadere conabatur. </s> | bus vafrè per&longs;uadere conabatur. </s> |
| <s id="id.000067">Verum enim verò optimè &longs;cio, ea, <lb/> | <s id="s.000066">Verum enim verò optimè &longs;cio, ea, <lb/> |
| qu&etail; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua­<lb/> | qu&etail; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua­<lb/> |
| drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe­<lb/> | drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe­<lb/> |
| maticis &longs;uffulti, optimè &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/> | maticis &longs;uffulti, optimè &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/> |
| non &longs;ine magno compendio aggrediuntur. </s> | non &longs;ine magno compendio aggrediuntur. </s> |
| <s id="id.000068">Quo fit, vt cæteros ageo­<lb/> | <s id="s.000067">Quo fit, vt cæteros ageo­<lb/> |
| metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, & <expan abbr="debeãt">debeant</expan>; <lb/> | metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, & <expan abbr="debeãt">debeant</expan>; <lb/> |
| tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/> | tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/> |
| Bonamicus, & alij, quibus paulo antiquiores fuerunt D. Tho. <!-- REMOVE S-->& Scotus, <lb/>Hi omnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o­<lb/> | Bonamicus, & alij, quibus paulo antiquiores fuerunt D. Tho. <!-- REMOVE S-->& Scotus, <lb/>Hi omnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o­<lb/> |
| phantes excelluerint, nemo e&longs;t qui non nouerit. </s> | phantes excelluerint, nemo e&longs;t qui non nouerit. </s> |
| <s id="id.000069">Illud hoc loco minimè <lb/> | <s id="s.000068">Illud hoc loco minimè <lb/> |
| tacendum, Iacobum Zabarellam in &longs;uis logicæ commentarijs te&longs;tari &longs;e <lb/> | tacendum, Iacobum Zabarellam in &longs;uis logicæ commentarijs te&longs;tari &longs;e <lb/> |
| bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfectè Ari&longs;t. de <lb/> | bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfectè Ari&longs;t. de <lb/> |
| demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s> | demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000070">Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minimè <lb/> | <s id="s.000069">Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minimè <lb/> |
| effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue­<lb/> | effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue­<lb/> |
| runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca­<lb/> | runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca­<lb/> |
| rentes afficiuntur.</s> | rentes afficiuntur.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000071">In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/> | <s id="s.000070">In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/> |
| e&longs;&longs;et damna à me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s> | e&longs;&longs;et damna à me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s> |
| <s id="id.000072">Quaprop­<lb/> | <s id="s.000071">Quaprop­<lb/> |
| ter loca hæc mathematica num rectè e&longs;&longs;ent è græco in latinum tran&longs;lata <lb/> | ter loca hæc mathematica num rectè e&longs;&longs;ent è græco in latinum tran&longs;lata <lb/> |
| diligenter prius expendi. </s> | diligenter prius expendi. </s> |
| <s id="id.000073">Deinde claritate, quàm potui maxima eadem <lb/> | <s id="s.000072">Deinde claritate, quàm potui maxima eadem <lb/> |
| loca interpretatus &longs;um, & in horum, de quibus dixi gratiam, quædam <lb/> | loca interpretatus &longs;um, & in horum, de quibus dixi gratiam, quædam <lb/> |
| fanè tenuia pro&longs;equutus &longs;um, quæ alioquin libenter omi&longs;i&longs;&longs;em. </s> | fanè tenuia pro&longs;equutus &longs;um, quæ alioquin libenter omi&longs;i&longs;&longs;em. </s> |
| <s id="id.000074">Tum fi­<lb/> | <s id="s.000073">Tum fi­<lb/> |
| guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s> | guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s> |
| <s id="id.000075">Hoc igitur <lb/> | <s id="s.000074">Hoc igitur <lb/> |
| no&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere, <lb/> | no&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere, <lb/> |
| <expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo à Lectore ma­<lb/> | <expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo à Lectore ma­<lb/> |
| thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini­<lb/> | thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini­<lb/> |
| tiones, po&longs;tulata, & axiomata, quæ primò Euclideis libro præponuntur, <lb/> | tiones, po&longs;tulata, & axiomata, quæ primò Euclideis libro præponuntur, <lb/> |
| diligenter prius perlegat cum illa &longs;ua per&longs;picuitate omnibus &longs;int obuia; <lb/> | diligenter prius perlegat cum illa &longs;ua per&longs;picuitate omnibus &longs;int obuia; <lb/> |
| cætera ego explicanda recipio. </s> | cætera ego explicanda recipio. </s> |
| <s id="id.000076">Obiter etiam auctaria nonnulla partim <lb/> | <s id="s.000075">Obiter etiam auctaria nonnulla partim <lb/> |
| mathematica, partim naturalia in&longs;erui, quæ ob nouitatem, ac pulchri­<lb/> | mathematica, partim naturalia in&longs;erui, quæ ob nouitatem, ac pulchri­<lb/> |
| tudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s> | tudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000077">Sciat præterea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca hæc mathemati­<lb/> | <s id="s.000076">Sciat præterea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca hæc mathemati­<lb/> |
| ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, quæ ex ma­<lb/> | ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, quæ ex ma­<lb/> |
| thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan­<lb/> | thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan­<lb/> |
| tum harum rerum cum illis connexio po&longs;tulat.</s> | tum harum rerum cum illis connexio po&longs;tulat.</s> |
| </p> | </p> |
| <pb xlink:href="009/01/010.jpg" pagenum="10" /> | <pb pagenum="10" xlink:href="009/01/010.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000078">His omnibus placuit appendices opportune nonnullas addere, qua­<lb/> | <s id="s.000077">His omnibus placuit appendices opportune nonnullas addere, qua­<lb/> |
| rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes <lb/> | rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes <lb/> |
| demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex­<lb/> | demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex­<lb/> |
| penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&etail;q;">vnaqu&etail;que</expan> <lb/> | penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&etail;q;">vnaqu&etail;que</expan> <lb/> |
| debeat, & ex illis de cæteris iudicium fiat. </s> | debeat, & ex illis de cæteris iudicium fiat. </s> |
| <s id="id.000079">Tandem in gratiam etiam <lb/> | <s id="s.000078">Tandem in gratiam etiam <lb/> |
| Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t. <lb/> | Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t. <lb/> |
| <!-- REMOVE S-->Geometrica ad Euclidis ordinem referuntur; vnde & ip&longs;i ad &longs;uas pr&etail;le­<lb/> | <!-- REMOVE S-->Geometrica ad Euclidis ordinem referuntur; vnde & ip&longs;i ad &longs;uas pr&etail;le­<lb/> |
| ctiones exornandas aliquid &longs;ubinde depromere queant.</s> | ctiones exornandas aliquid &longs;ubinde depromere queant.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000080">Fruere igitur amice Lector hoc no&longs;tro qualiquali labore, quo ad ple­<lb/> | <s id="s.000079">Fruere igitur amice Lector hoc no&longs;tro qua liquali labore, quo ad ple­<lb/> |
| nam totius Ari&longs;t. intelligentiam, cui adhuc mathematicarum ignoratio <lb/> | nam totius Ari&longs;t. intelligentiam, cui adhuc mathematicarum ignoratio <lb/> |
| ob&longs;titit peruenire tandem po&longs;&longs;is: <expan abbr="illud&qacute;">illudque</expan>; experiaris, quod optimus qui­<lb/> | ob&longs;titit peruenire tandem po&longs;&longs;is: <expan abbr="illud&qacute;">illudque</expan>; experiaris, quod optimus qui­<lb/> |
| dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide­<lb/> | dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide­<lb/> |
| |
| diem de&longs;ideratum<emph.end type="italics"/> iure ac meritò nuncupari po&longs;&longs;e.</s> | diem de&longs;ideratum<emph.end type="italics"/> iure ac meritò nuncupari po&longs;&longs;e.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000081">Illud demum tanquam parergon addam, quod ego his elucubran­<lb/> | <s id="s.000080">Illud demum tanquam parergon addam, quod ego his elucubran­<lb/> |
| dis experientia didici, ad veram &longs;cilicet, ac perfectam to­<lb/> | dis experientia didici, ad veram &longs;cilicet, ac perfectam to­<lb/> |
| tius Ari&longs;totelis intelligentiam linguæ in primis <lb/> | tius Ari&longs;totelis intelligentiam linguæ in primis <lb/> |
| græcæ, necnon mathematicarum om­<lb/> | græcæ, necnon mathematicarum om­<lb/> |
| |
| crem cognitionem ne­<lb/> | crem cognitionem ne­<lb/> |
| ce&longs;&longs;ariam e&longs;&longs;e. <lb/> | ce&longs;&longs;ariam e&longs;&longs;e. <lb/> |
| </s> | </s> |
| <s id="id.000082">Vale.<!-- KEEP S--></s> | <s id="s.000081">Vale.<!-- KEEP S--></s> |
| </p> | </p> |
| </section> | </section> |
| <pb xlink:href="009/01/011.jpg" pagenum="11" /> | <pb pagenum="11" xlink:href="009/01/011.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000083">Pr&etail;cipua qu&etail;dam, aut noua, aut re&longs;taurata, <lb/> | <s id="s.000082">Pr&etail;cipua qu&etail;dam, aut noua, aut re&longs;taurata, <lb/> |
| quæ obiter pertractantur.<lb/> | quæ obiter pertractantur.<lb/> |
| <arrow.to.target n="table1"/></s> | <arrow.to.target n="table1"/></s> |
| </p> | </p> |
| |
| </row> | </row> |
| </table> | </table> |
| </section> | </section> |
| <pb xlink:href="009/01/012.jpg" pagenum="12" /> | <pb pagenum="12" xlink:href="009/01/012.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000084"><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000083"><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000085"><emph type="italics"/>Quæ in hoc opere explicantur, iuxta ordine librorum <lb/> | <s id="s.000084"><emph type="italics"/>Quæ in hoc opere explicantur, iuxta ordine librorum <lb/> |
| ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s> | ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000086">In Prædicamentis.</s> | <s id="s.000085">In Prædicamentis.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000087"><emph type="italics"/>Capite s. </s> | <s id="s.000086"><emph type="italics"/>Capite s. </s> |
| <s id="id.000088">de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s> | <s id="s.000087">de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000089"><emph type="italics"/>Cap. de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s> | <s id="s.000088"><emph type="italics"/>Cap. de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000090"><emph type="italics"/>Cap. de Motu, vbi de Gnomone.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000089"><emph type="italics"/>Cap. de Motu, vbi de Gnomone.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000091">In Primo Priorum Re&longs;olutoriorum.</s> | <s id="s.000090">In Primo Priorum Re&longs;olutoriorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000092"><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s> | <s id="s.000091"><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000093"><emph type="italics"/>Cap. 23. &longs;ect 1. libri 1. de Incommen&longs;urabilibus.<emph.end type="italics"/></s> | <s id="s.000092"><emph type="italics"/>Cap. 23. &longs;ect 1. libri 1. de Incommen&longs;urabilibus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000094"><emph type="italics"/>Cap. 24. &longs;ecti 1. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000093"><emph type="italics"/>Cap. 24. &longs;ecti 1. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000095"><emph type="italics"/>Cap. 2. &longs;ect 2. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000094"><emph type="italics"/>Cap. 2. &longs;ect 2. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000096"><emph type="italics"/>Cap. 3. &longs;ecti 2. lib. 1. de Incommen&longs;urabili.<emph.end type="italics"/></s> | <s id="s.000095"><emph type="italics"/>Cap. 3. &longs;ecti 2. lib. 1. de Incommen&longs;urabili.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000097"><emph type="italics"/>Cap. 1. &longs;ecti 3. lib. 1. de eo, quod est, omnis triangulus habet tres angulos æquales <lb/> | <s id="s.000096"><emph type="italics"/>Cap. 1. &longs;ecti 3. lib. 1. de eo, quod est, omnis triangulus habet tres angulos æquales <lb/> |
| æquales duobus rectis: Aequalitas Geometrica, quæ.<emph.end type="italics"/></s> | æquales duobus rectis: Aequalitas Geometrica, quæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000098"><emph type="italics"/>Cap. eodem, de exemplis, quibus vtuntuar Geometræ.<emph.end type="italics"/></s> | <s id="s.000097"><emph type="italics"/>Cap. eodem, de exemplis, quibus vtuntur Geometræ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000099">In &longs;ecundo Priorum Re&longs;ol.<!-- REMOVE S--><emph type="italics"/>Cap. 21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s> | <s id="s.000098">In &longs;ecundo Priorum Re&longs;ol.<!-- REMOVE S--><emph type="italics"/>Cap. 21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000100"><emph type="italics"/>Cap. eodem. </s> | <s id="s.000099"><emph type="italics"/>Cap. eodem. </s> |
| <s id="id.000101">de Paralellis, & de triangulo.<emph.end type="italics"/></s> | <s id="s.000100">de Paralellis, & de triangulo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000102"><emph type="italics"/>Cap. 26. Quod omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000101"><emph type="italics"/>Cap. 26. Quod omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000103"><emph type="italics"/>Cap. 31. de Abductione.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000102"><emph type="italics"/>Cap. 31. de Abductione.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000104"><emph type="italics"/>Cap. codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000103"><emph type="italics"/>Cap. codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000105">In primo Po&longs;teriorum.</s> | <s id="s.000104">In primo Po&longs;teriorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000106"><emph type="italics"/>Textu primo, De Præcognitis Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000105"><emph type="italics"/>Textu primo, De Præcognitis Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000107"><emph type="italics"/>T. 2. Omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000106"><emph type="italics"/>T. 2. Omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000108"><emph type="italics"/>T. 5. De Diametro incommen&longs;urabili. </s> | <s id="s.000107"><emph type="italics"/>T. 5. De Diametro incommen&longs;urabili. </s> |
| <s id="id.000109">Item De Mathematicarum Principijs.<emph.end type="italics"/></s> | <s id="s.000108">Item De Mathematicarum Principijs.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000110"><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s> | <s id="s.000109"><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000111"><emph type="italics"/>T. 9. De Puncto, & linea. </s> | <s id="s.000110"><emph type="italics"/>T. 9. De Puncto, & linea. </s> |
| <s id="id.000112">Item de recto, & circulari. </s> | <s id="s.000111">Item de recto, & circulari. </s> |
| <s id="id.000113">Item de numero pari, impari; <lb/> | <s id="s.000112">Item de numero pari, impari; <lb/> |
| primo, & compo&longs;ito; æquilatero, & altera parte longiore.<emph.end type="italics"/></s> | primo, & compo&longs;ito; æquilatero, & altera parte longiore.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000114"><emph type="italics"/>T. 11. Lineæ punctum inest per &longs;e, & c.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000113"><emph type="italics"/>T. 11. Lineæ punctum inest per &longs;e, & c.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000115"><emph type="italics"/>T. 13. De Parallelis. <!-- KEEP S--></s> | <s id="s.000114"><emph type="italics"/>T. 13. De Parallelis. <!-- KEEP S--></s> |
| <s id="id.000116">De I&longs;o&longs;cele. </s> | <s id="s.000115">De I&longs;o&longs;cele. </s> |
| <s id="id.000117">De Alterna Proportione, <lb/> | <s id="s.000116">De Alterna Proportione, <lb/> |
| Item quod omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> | Item quod omnis triangulus habet tres, & c.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000118"><emph type="italics"/>T. 14. De ij&longs;dem cum præcedentibus.<emph.end type="italics"/></s> | <s id="s.000117"><emph type="italics"/>T. 14. De ij&longs;dem cum præcedentibus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000119"><emph type="italics"/>T. 20. Magnitudines euadunt numeri. </s> | <s id="s.000118"><emph type="italics"/>T. 20. Magnitudines euadunt numeri. </s> |
| <s id="id.000120">Item, quod non duo cubi cubus. </s> | <s id="s.000119">Item, quod non duo cubi cubus. </s> |
| <s id="id.000121">Item de <lb/> | <s id="s.000120">Item de <lb/> |
| Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s> | Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000122"><emph type="italics"/>T. 23. Quadratura circuli &longs;ecundum Bry&longs;onem. </s> | <s id="s.000121"><emph type="italics"/>T. 23. Quadratura circuli &longs;ecundum Bry&longs;onem. </s> |
| <s id="id.000123">Item per&longs;ectam illam e&longs;&longs;e Demon­<lb/> | <s id="s.000122">Item per&longs;ectam illam e&longs;&longs;e Demon­<lb/> |
| &longs;trationem, qua Geometræ o&longs;tendunt, quod Omnis triangulus habet tres, & c. <lb/> | &longs;trationem, qua Geometræ o&longs;tendunt, quod Omnis triangulus habet tres, & c. <lb/> |
| <!-- KEEP S--></s> | <!-- KEEP S--></s> |
| <s id="id.000124">Per&longs;pectiuam, & Mechanicam &longs;ubalternari Geometriæ, Mu&longs;icam, Arithmeticæ.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000123">Per&longs;pectiuam, & Mechanicam &longs;ubalternari Geometriæ, Mu&longs;icam, Arithmeticæ.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000125"><emph type="italics"/>T. 24. De numero pari, impari, quadrangulo, cubo. </s> | <s id="s.000124"><emph type="italics"/>T. 24. De numero pari, impari, quadrangulo, cubo. </s> |
| <s id="id.000126">In Geometria quid irrationale, <lb/> | <s id="s.000125">In Geometria quid irrationale, <lb/> |
| refrangi, concurrere. </s> | refrangi, concurrere. </s> |
| <s id="id.000127">Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s> | <s id="s.000126">Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000128"><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s> | <s id="s.000127"><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000129"><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000128"><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <pb xlink:href="009/01/013.jpg" pagenum="13" /> | <pb pagenum="13" xlink:href="009/01/013.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000130"><emph type="italics"/>T. 29. Cur in Mathematicis non &longs;it Paralogi&longs;mus. <!-- KEEP S--></s> | <s id="s.000129"><emph type="italics"/>T. 29. Cur in Mathematicis non &longs;it Paralogi&longs;mus. <!-- KEEP S--></s> |
| <s id="id.000131">Item quid multiplicata propor­<lb/> | <s id="s.000130">Item quid multiplicata propor­<lb/> |
| tio. </s> | tio. </s> |
| <s id="id.000132">Quid Cæneus dixerit. </s> | <s id="s.000131">Quid Cæneus dixerit. </s> |
| <s id="id.000133">Cur Affectiones <expan abbr="Mathematicorũ">Mathematicorũ</expan> maximè <expan abbr="conuertãtur">conuertantur</expan>.<emph.end type="italics"/></s> | <s id="s.000132">Cur Affectiones <expan abbr="Mathematicorũ">Mathematicorũ</expan> maximè <expan abbr="conuertãtur">conuertantur</expan>.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000134"><emph type="italics"/>T. 30. De Lunæ &longs;phæricitate. </s> | <s id="s.000133"><emph type="italics"/>T. 30. De Lunæ &longs;phæricitate. </s> |
| <s id="id.000135">Quid &longs;tereometria. </s> | <s id="s.000134">Quid &longs;tereometria. </s> |
| <s id="id.000136">& De &longs;ubalternatione, &c. </s> | <s id="s.000135">& De &longs;ubalternatione, &c. </s> |
| <s id="id.000137">& Ma­<lb/> | <s id="s.000136">& Ma­<lb/> |
| thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum verò &longs;cire Quod.<emph.end type="italics"/></s> | thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum verò &longs;cire Quod.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000138"><emph type="italics"/>T. 37. I&longs;o&longs;celes, & Scalenum habere tres æquales, &c.<emph.end type="italics"/></s> | <s id="s.000137"><emph type="italics"/>T. 37. I&longs;o&longs;celes, & Scalenum habere tres æquales, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000139"><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000138"><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000140"><emph type="italics"/>T. 39. Habere tres angulos æquales, &c. </s> | <s id="s.000139"><emph type="italics"/>T. 39. Habere tres angulos æquales, &c. </s> |
| <s id="id.000141">Item, quod omnis figura habet &longs;uos angu­<lb/> | <s id="s.000140">Item, quod omnis figura habet &longs;uos angu­<lb/> |
| los externos æquales quatuor tantum rectis.<emph.end type="italics"/></s> | los externos æquales quatuor tantum rectis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000142"><emph type="italics"/>T. 43. Triangulum tres æquales, &c. </s> | <s id="s.000141"><emph type="italics"/>T. 43. Triangulum tres æquales, &c. </s> |
| <s id="id.000143">De Eclyp&longs;i.<emph.end type="italics"/></s> | <s id="s.000142">De Eclyp&longs;i.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000144"><emph type="italics"/>De combu&longs;tione per refractionem ex &longs;phæra vitrea. </s> | <s id="s.000143"><emph type="italics"/>De combu&longs;tione per refractionem ex &longs;phæra vitrea. </s> |
| <s id="id.000145">De principijs &longs;cientiarum.<emph.end type="italics"/></s> | <s id="s.000144">De principijs &longs;cientiarum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000146"><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s> | <s id="s.000145"><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000147">In 2. Po&longs;teriorum.</s> | <s id="s.000146">In 2. Po&longs;teriorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000148"><emph type="italics"/>T. 1. Aequalitas, & inæqualitas. </s> | <s id="s.000147"><emph type="italics"/>T. 1. Aequalitas, & inæqualitas. </s> |
| <s id="id.000149">Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per­<lb/> | <s id="s.000148">Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per­<lb/> |
| fectè demon&longs;tratur. </s> | fectè demon&longs;tratur. </s> |
| <s id="id.000150">Item Quid con&longs;onantia.<emph.end type="italics"/></s> | <s id="s.000149">Item Quid con&longs;onantia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000151"><emph type="italics"/>T. 2. Omnis triangulus habet tres, &c. </s> | <s id="s.000150"><emph type="italics"/>T. 2. Omnis triangulus habet tres, &c. </s> |
| <s id="id.000152">Item de Definitionibus Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000151">Item de Definitionibus Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000153"><emph type="italics"/>T. 7. Geometra, quædam accipit, quædam demon&longs;trat.<emph.end type="italics"/></s> | <s id="s.000152"><emph type="italics"/>T. 7. Geometra, quædam accipit, quædam demon&longs;trat.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000154"><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari à Geometra per cau&longs;am materia­<lb/> | <s id="s.000153"><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari à Geometra per cau&longs;am materia­<lb/> |
| lem. </s> | lem. </s> |
| <s id="id.000155">Zabarella correctus.<emph.end type="italics"/></s> | <s id="s.000154">Zabarella correctus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000156"><emph type="italics"/>T. 24. Echo, Imago è &longs;peculo, Iris.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000155"><emph type="italics"/>T. 24. Echo, Imago è &longs;peculo, Iris.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000157"><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s> | <s id="s.000156"><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000158">In primo lib. <!-- REMOVE S-->Topicorum.</s> | <s id="s.000157">In primo lib. <!-- REMOVE S-->Topicorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000159"><emph type="italics"/>Cap. 13. Diameter est incommen&longs;urabilis. </s> | <s id="s.000158"><emph type="italics"/>Cap. 13. Diameter est incommen&longs;urabilis. </s> |
| <s id="id.000160">Vox acuta velox, cur. </s> | <s id="s.000159">Vox acuta velox, cur. </s> |
| <s id="id.000161">&c. </s> | <s id="s.000160">&c. </s> |
| <s id="id.000162">Colores in <lb/> | <s id="s.000161">Colores in <lb/> |
| Mu&longs;ica, qui. </s> | Mu&longs;ica, qui. </s> |
| <s id="id.000163">tria genera veteris Mu&longs;icæ.<emph.end type="italics"/></s> | <s id="s.000162">tria genera veteris Mu&longs;icæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000164">In 4. libro.</s> | <s id="s.000163">In 4. libro.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000165"><emph type="italics"/>Cap. 1. loco 1. lineæ in&longs;ecabiles.<emph.end type="italics"/></s> | <s id="s.000164"><emph type="italics"/>Cap. 1. loco 1. lineæ in&longs;ecabiles.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000166">In 6. libro.</s> | <s id="s.000165">In 6. libro.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000167"><emph type="italics"/>Cap. 2. loco 32. Definitio lineæ.<emph.end type="italics"/></s> | <s id="s.000166"><emph type="italics"/>Cap. 2. loco 32. Definitio lineæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000168">In 8. libro.</s> | <s id="s.000167">In 8. libro.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000169"><emph type="italics"/>Cap. 2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000168"><emph type="italics"/>Cap. 2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000170"><emph type="italics"/>Cap. 4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s> | <s id="s.000169"><emph type="italics"/>Cap. 4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000171">In Elenchorum lib. 1.<!-- KEEP S--></s> | <s id="s.000170">In Elenchorum lib. 1.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000172"><emph type="italics"/>Cap. 10. Quid P&longs;eudographia. </s> | <s id="s.000171"><emph type="italics"/>Cap. 10. Quid P&longs;eudographia. </s> |
| <s id="id.000173">Quadratura rur&longs;us Hippocratis, & Bry&longs;onis. </s> | <s id="s.000172">Quadratura rur&longs;us Hippocratis, & Bry&longs;onis. </s> |
| <s id="id.000174">Mathe­<lb/> | <s id="s.000173">Mathe­<lb/> |
| maticæ non contentio&longs;æ. </s> | maticæ non contentio&longs;æ. </s> |
| <s id="id.000175">Quadratio Antiphontis.<emph.end type="italics"/></s> | <s id="s.000174">Quadratio Antiphontis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000176">Ex 1. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000175">Ex 1. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000177"><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, & Antiphontis.<emph.end type="italics"/></s> | <s id="s.000176"><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, & Antiphontis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000178">Ex 2. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000177">Ex 2. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000179"><emph type="italics"/>T. 20. Quatenus Per&longs;pectiuus con&longs;ideret lineam.<emph.end type="italics"/></s> | <s id="s.000178"><emph type="italics"/>T. 20. Quatenus Per&longs;pectiuus con&longs;ideret lineam.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000180"><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000179"><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000181"><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes babere cau&longs;am, quæ reducitur ad defini­<lb/> | <s id="s.000180"><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes habere cau&longs;am, quæ reducitur ad defini­<lb/> |
| tionem.<emph.end type="italics"/></s> | tionem.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000182"><emph type="italics"/>T. 8. De nece&longs;&longs;ario, quod e&longs;t in Mathematicis. <!-- KEEP S--></s> | <s id="s.000181"><emph type="italics"/>T. 8. De nece&longs;&longs;ario, quod e&longs;t in Mathematicis. <!-- KEEP S--></s> |
| <s id="id.000183">& omnis triangulus habet tres an­<lb/> | <s id="s.000182">& omnis triangulus habet tres an­<lb/> |
| gulos, &c.<emph.end type="italics"/></s> | gulos, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000184">Ex 3. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000183">Ex 3. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000185"><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s> | <s id="s.000184"><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000186"><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000185"><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000187"><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000186"><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <pb xlink:href="009/01/014.jpg" pagenum="14" /> | <pb pagenum="14" xlink:href="009/01/014.jpg"/> |
| <p type="head"> | <p type="head"> |
| <s id="id.000188">Ex 4. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000187">Ex 4. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000189"><emph type="italics"/>T. 120. De commen&longs;urab. </s> | <s id="s.000188"><emph type="italics"/>T. 120. De commen&longs;urab. </s> |
| <s id="id.000190">& incommen&longs;.<emph.end type="italics"/></s> | <s id="s.000189">& incommen&longs;.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000191">Ex 5. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000190">Ex 5. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000192"><emph type="italics"/>T. 6. De chordis, graui, acuta; media, & vltima.<emph.end type="italics"/></s> | <s id="s.000191"><emph type="italics"/>T. 6. De chordis, graui, acuta; media, & vltima.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000193">Ex 8. Phy&longs;ic.<!-- KEEP S--></s> | <s id="s.000192">Ex 8. Phy&longs;ic.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000194"><emph type="italics"/>T. 15. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s> | <s id="s.000193"><emph type="italics"/>T. 15. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000195">Ex 1. de Cœlo.<!-- KEEP S--></s> | <s id="s.000194">Ex 1. de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000196"><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s> | <s id="s.000195"><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000197"><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s> | <s id="s.000196"><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000198"><emph type="italics"/>T. 48. Commen&longs;urab. <!-- REMOVE S-->& incommen&longs;urab. </s> | <s id="s.000197"><emph type="italics"/>T. 48. Commen&longs;urab. <!-- REMOVE S-->& incommen&longs;urab. </s> |
| <s id="id.000199">quid.<emph.end type="italics"/></s> | <s id="s.000198">quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000200"><emph type="italics"/>T. 119. Omnis triangulus habet tres, &c. </s> | <s id="s.000199"><emph type="italics"/>T. 119. Omnis triangulus habet tres, &c. </s> |
| <s id="id.000201">Item de commen&longs;urabili.<emph.end type="italics"/></s> | <s id="s.000200">Item de commen&longs;urabili.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000202">Ex 2. de Cœlo.<!-- KEEP S--></s> | <s id="s.000201">Ex 2. de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000203"><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, quì.<emph.end type="italics"/></s> | <s id="s.000202"><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, quì.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000204"><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s> | <s id="s.000203"><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000205"><emph type="italics"/>T. 31. Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam.<emph.end type="italics"/></s> | <s id="s.000204"><emph type="italics"/>T. 31. Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000206"><emph type="italics"/>T. 46. Maiorem circulum velocius moueri. </s> | <s id="s.000205"><emph type="italics"/>T. 46. Maiorem circulum velocius moueri. </s> |
| <s id="id.000207">Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s> | <s id="s.000206">Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000208"><emph type="italics"/>T. 57. De ordine Cœlorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s> | <s id="s.000207"><emph type="italics"/>T. 57. De ordine Cœlorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000209"><emph type="italics"/>T. 59. De rotunditate Lunæ, bis.<emph.end type="italics"/></s> | <s id="s.000208"><emph type="italics"/>T. 59. De rotunditate Lunæ, bis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000210"><emph type="italics"/>T. 107. Centrum duplex grauit: & molis. </s> | <s id="s.000209"><emph type="italics"/>T. 107. Centrum duplex grauit: & molis. </s> |
| <s id="id.000211">Qua ratione grauia ad mundi centrum <lb/> | <s id="s.000210">Qua ratione grauia ad mundi centrum <lb/> |
| aptarentur.<emph.end type="italics"/></s> | aptarentur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000212"><emph type="italics"/>T. 109. Terram e&longs;&longs;e rotundam. </s> | <s id="s.000211"><emph type="italics"/>T. 109. Terram e&longs;&longs;e rotundam. </s> |
| <s id="id.000213">alio item modo.<emph.end type="italics"/></s> | <s id="s.000212">alio item modo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000214"><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu Cœli.<emph.end type="italics"/></s> | <s id="s.000213"><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu Cœli.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000215"><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s> | <s id="s.000214"><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000216"><emph type="italics"/>T. 112. De quantitate Terræ.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000215"><emph type="italics"/>T. 112. De quantitate Terræ.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000217">Ex 3. de Cœlo.<!-- KEEP S--></s> | <s id="s.000216">Ex 3. de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000218"><emph type="italics"/>T. 40. Vt componatur &longs;phæra.<emph.end type="italics"/></s> | <s id="s.000217"><emph type="italics"/>T. 40. Vt componatur &longs;phæra.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000219"><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s> | <s id="s.000218"><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000220"><emph type="italics"/>T. 66. Quænam planarum figurarum totum &longs;patium repleant. </s> | <s id="s.000219"><emph type="italics"/>T. 66. Quænam planarum figurarum totum &longs;patium repleant. </s> |
| <s id="id.000221">Hinc de admirabili <lb/>Apum ingenio.<emph.end type="italics"/></s> | <s id="s.000220">Hinc de admirabili <lb/>Apum ingenio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000222"><emph type="italics"/>T. eodem. </s> | <s id="s.000221"><emph type="italics"/>T. eodem. </s> |
| <s id="id.000223">Num plures Pyramides locum replere valeant, vbi Ari&longs;totiles, & omnes <lb/> | <s id="s.000222">Num plures Pyramides locum replere valeant, vbi Ari&longs;toteles, & omnes <lb/> |
| expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s> | expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000224"><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s> | <s id="s.000223"><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000225">Ex 4. de Cœlo.<!-- KEEP S--></s> | <s id="s.000224">Ex 4. de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000226"><emph type="italics"/>T. 33. Extare centrum Mundi, quò grauia tendunt, à quo leuia abeant.<emph.end type="italics"/></s> | <s id="s.000225"><emph type="italics"/>T. 33. Extare centrum Mundi, quò grauia tendunt, à quo leuia abeant.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000227"><emph type="italics"/>T. 44. & <expan abbr="&longs;eq.">&longs;eque</expan> Cur quædam grauiora quàm aqua, &longs;upernatent.<emph.end type="italics"/></s> | <s id="s.000226"><emph type="italics"/>T. 44. & <expan abbr="&longs;eq.">&longs;eque</expan> Cur quædam grauiora quàm aqua, &longs;upernatent.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000228">Ex 2. de Generatione, & Corruptione.<!-- KEEP S--></s> | <s id="s.000227">Ex 2. de Generatione, & Corruptione.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000229"><emph type="italics"/>Tex. 56. Cur Planetæ duobus motibus moueri dicantur.<emph.end type="italics"/></s> | <s id="s.000228"><emph type="italics"/>Tex. 56. Cur Planetæ duobus motibus moueri dicantur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000230">Ex 1. Meteororum.<!-- KEEP S--></s> | <s id="s.000229">Ex 1. Meteororum.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000231"><emph type="italics"/>Summa prima cap. 3. De magnitudine Terræ ad a&longs;tra, & &longs;olem collata.<emph.end type="italics"/></s> | <s id="s.000230"><emph type="italics"/>Summa prima cap. 3. De magnitudine Terræ ad a&longs;tra, & &longs;olem collata.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000232"><emph type="italics"/>Cap. eodem. </s> | <s id="s.000231"><emph type="italics"/>Cap. eodem. </s> |
| <s id="id.000233">De magnitudine A&longs;trorum.<emph.end type="italics"/></s> | <s id="s.000232">De magnitudine A&longs;trorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000234"><emph type="italics"/>Cap. 4. De ordine Luminarium Solis, & Lunæ.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000233"><emph type="italics"/>Cap. 4. De ordine Luminarium Solis, & Lunæ.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000235"><emph type="italics"/>Summa 2. cap. 3. de Mercurij stella. </s> | <s id="s.000234"><emph type="italics"/>Summa 2. cap. 3. de Mercurij stella. </s> |
| <s id="id.000236">Item de Cometa: e&longs;&longs;e in Cœlo.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000235">Item de Cometa: e&longs;&longs;e in Cœlo.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000237"><emph type="italics"/>Cap. 5. De Magnitudine Solis, & de vmbra Terræ.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000236"><emph type="italics"/>Cap. 5. De Magnitudine Solis, & de vmbra Terræ.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000238"><emph type="italics"/>Cap. 5. De Glaxia.<emph.end type="italics"/></s> | <s id="s.000237"><emph type="italics"/>Cap. 5. De Glaxia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000239"><emph type="italics"/>Cap. 6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde <lb/> | <s id="s.000238"><emph type="italics"/>Cap. 6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde <lb/> |
| aperitur.<emph.end type="italics"/></s> | aperitur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/015.jpg" pagenum="15" /> | <pb pagenum="15" xlink:href="009/01/015.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000240"><emph type="italics"/>Summa 4. cap 1. De Monte Parna&longs;&longs;o, dubia. </s> | <s id="s.000239"><emph type="italics"/>Summa 4. cap 1. De Monte Parna&longs;&longs;o, dubia. </s> |
| <s id="id.000241">Mare extraneum, quod. </s> | <s id="s.000240">Mare extraneum, quod. </s> |
| <s id="id.000242">Errata quæ­<lb/> | <s id="s.000241">Errata quæ­<lb/> |
| dam veterum Geographorum, & Ari&longs;t. corriguntur. </s> | dam veterum Geographorum, & Ari&longs;t. corriguntur. </s> |
| <s id="id.000243">Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s> | <s id="s.000242">Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000244"><emph type="italics"/>Cap. 2. De permutatione Aquarum, & continentis. </s> | <s id="s.000243"><emph type="italics"/>Cap. 2. De permutatione Aquarum, & continentis. </s> |
| <s id="id.000245">Noua ob&longs;eruatio de rotundi­<lb/> | <s id="s.000244">Noua ob&longs;eruatio de rotundi­<lb/> |
| tate Terræ, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s> | tate Terræ, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000246">Ex 2. Meteororum.<!-- KEEP S--></s> | <s id="s.000245">Ex 2. Meteororum.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000247"><emph type="italics"/>Summa 1. cap. 1. De Mari rubro.<emph.end type="italics"/></s> | <s id="s.000246"><emph type="italics"/>Summa 1. cap. 1. De Mari rubro.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000248"><emph type="italics"/>Summa 2. cap. 2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s> | <s id="s.000247"><emph type="italics"/>Summa 2. cap. 2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000249"><emph type="italics"/>Cap. eodem, De Canicula. </s> | <s id="s.000248"><emph type="italics"/>Cap. eodem, De Canicula. </s> |
| <s id="id.000250">De Zonis temperatis. </s> | <s id="s.000249">De Zonis temperatis. </s> |
| <s id="id.000251">Corona Ariadnæ. </s> | <s id="s.000250">Corona Ariadnæ. </s> |
| <s id="id.000252">Zonam torridam <lb/> | <s id="s.000251">Zonam torridam <lb/> |
| falsò putabant inho&longs;pitalem. </s> | falsò putabant inho&longs;pitalem. </s> |
| <s id="id.000253">cur habitabilis.<emph.end type="italics"/></s> | <s id="s.000252">cur habitabilis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000254"><emph type="italics"/>Cap. 3. De Ventorum &longs;itu.<emph.end type="italics"/></s> | <s id="s.000253"><emph type="italics"/>Cap. 3. De Ventorum &longs;itu.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000255">Ex 3. Meteor.<!-- KEEP S--></s> | <s id="s.000254">Ex 3. Meteor.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000256"><emph type="italics"/>Summa 2. cap. 2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;tratio.<emph.end type="italics"/></s> | <s id="s.000255"><emph type="italics"/>Summa 2. cap. 2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;tratio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000257"><emph type="italics"/>Cap. 4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s> | <s id="s.000256"><emph type="italics"/>Cap. 4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s> |
| <s id="id.000258">Noua de eadem <lb/> | <s id="s.000257">Noua de eadem <lb/> |
| tractatio.<emph.end type="italics"/></s> | tractatio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000259"><emph type="italics"/>Cap. 5. De Parelio. <!-- KEEP S--></s> | <s id="s.000258"><emph type="italics"/>Cap. 5. De Parelio. <!-- KEEP S--></s> |
| <s id="id.000260">Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s> | <s id="s.000259">Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000261">Ex 1. De Anima.<!-- KEEP S--></s> | <s id="s.000260">Ex 1. De Anima.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000262"><emph type="italics"/>Tex. 11. Quid rectum, quid obliquum. </s> | <s id="s.000261"><emph type="italics"/>Tex. 11. Quid rectum, quid obliquum. </s> |
| <s id="id.000263">& omnis triangulus habet tres, &c.<emph.end type="italics"/></s> | <s id="s.000262">& omnis triangulus habet tres, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000264"><emph type="italics"/>T. 13. Sphæra planum tangit in puncto.<emph.end type="italics"/></s> | <s id="s.000263"><emph type="italics"/>T. 13. Sphæra planum tangit in puncto.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000265">Ex 2. De Anima.<!-- KEEP S--></s> | <s id="s.000264">Ex 2. De Anima.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000266"><emph type="italics"/>T. 12. Definitionem formalem, & cau&longs;alem explicat exemplo Quadrationis Geo­<lb/> | <s id="s.000265"><emph type="italics"/>T. 12. Definitionem formalem, & cau&longs;alem explicat exemplo Quadrationis Geo­<lb/> |
| metricæ.<emph.end type="italics"/></s> | metricæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000267"><emph type="italics"/>T. 86. Acutum, & Graue, vt differant.<emph.end type="italics"/></s> | <s id="s.000266"><emph type="italics"/>T. 86. Acutum, & Graue, vt differant.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000268"><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s> | <s id="s.000267"><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000269">Ex 3. De Anima.<!-- KEEP S--></s> | <s id="s.000268">Ex 3. De Anima.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000270"><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s> | <s id="s.000269"><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000271"><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s> | <s id="s.000270"><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000272"><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s> | <s id="s.000271"><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000273">Ex lib. <!-- REMOVE S-->De Sen&longs;u.</s> | <s id="s.000272">Ex lib. <!-- REMOVE S-->De Sen&longs;u.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000274"><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000273"><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000275"><emph type="italics"/>Cap. 8. Nete. </s> | <s id="s.000274"><emph type="italics"/>Cap. 8. Nete. </s> |
| <s id="id.000276">Diapa&longs;on. <!-- KEEP S--></s> | <s id="s.000275">Diapa&longs;on. <!-- KEEP S--></s> |
| <s id="id.000277">Diapen&longs;e.<emph.end type="italics"/></s> | <s id="s.000276">Diapen&longs;e.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000278">Ex lib. <!-- REMOVE S-->De Memoria, & Rem.<!-- KEEP S--></s> | <s id="s.000277">Ex lib. <!-- REMOVE S-->De Memoria, & Rem.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000279"><emph type="italics"/>Cap. 1. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> | <s id="s.000278"><emph type="italics"/>Cap. 1. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000280"><emph type="italics"/>Cap. 3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s> | <s id="s.000279"><emph type="italics"/>Cap. 3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000281">Ex lib. <!-- REMOVE S-->De Somnijs.<!-- KEEP S--></s> | <s id="s.000280">Ex lib. <!-- REMOVE S-->De Somnijs.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000282"><emph type="italics"/>Cap. 2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s> | <s id="s.000281"><emph type="italics"/>Cap. 2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000283"><emph type="italics"/>Cap. 3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s> | <s id="s.000282"><emph type="italics"/>Cap. 3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000284">Ex 1. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000283">Ex 1. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000285"><emph type="italics"/>Cap. 1. Initium Mathematicarum ab Aegyptiorum Sacerdotibus. </s> | <s id="s.000284"><emph type="italics"/>Cap. 1. Initium Mathematicarum ab Aegyptiorum Sacerdotibus. </s> |
| <s id="id.000286">Item, Automata, <lb/> | <s id="s.000285">Item, Automata, <lb/> |
| quæ &longs;olstitia. </s> | quæ &longs;olstitia. </s> |
| <s id="id.000287">Diameter incommen&longs;.<emph.end type="italics"/></s> | <s id="s.000286">Diameter incommen&longs;.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000288"><emph type="italics"/>Summa 2. cap. 3. Pythagorei Mathematicas cæteris præferebant.<emph.end type="italics"/></s> | <s id="s.000287"><emph type="italics"/>Summa 2. cap. 3. Pythagorei Mathematicas cæteris præferebant.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000289"><emph type="italics"/>T. 47. Geometria habet &longs;uas præcognitiones.<emph.end type="italics"/></s> | <s id="s.000288"><emph type="italics"/>T. 47. Geometria habet &longs;uas præcognitiones.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000290">Ex 2. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000289">Ex 2. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000291"><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s> | <s id="s.000290"><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000292">Ex 3. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000291">Ex 3. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000293"><emph type="italics"/>Tex. <!-- KEEP S--></s> | <s id="s.000292"><emph type="italics"/>Tex. <!-- KEEP S--></s> |
| <s id="id.000294">Mathematicas puras carere cau&longs;is efficiente, & finali. </s> | <s id="s.000293">Mathematicas puras carere cau&longs;is efficiente, & finali. </s> |
| <s id="id.000295">Ari&longs;tippus, vt Mathe­<lb/> | <s id="s.000294">Ari&longs;tippus, vt Mathe­<lb/> |
| maticas &longs;ugillaret. </s> | maticas &longs;ugillaret. </s> |
| <s id="id.000296">Tetragoni&longs;mus est inuentio mediæ.<emph.end type="italics"/></s> | <s id="s.000295">Tetragoni&longs;mus est inuentio mediæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/016.jpg" pagenum="16" /> | <pb pagenum="16" xlink:href="009/01/016.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000297"><emph type="italics"/>Tex. 8. Geodæ&longs;ia quid.<emph.end type="italics"/></s> | <s id="s.000296"><emph type="italics"/>Tex. 8. Geodæ&longs;ia quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000298">Ex 4. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000297">Ex 4. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000299"><emph type="italics"/>T. 4. Quæ &longs;int primæ, & quæ &longs;ecundæ inter Mathematicas.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000298"><emph type="italics"/>T. 4. Quæ &longs;int primæ, & quæ &longs;ecundæ inter Mathematicas.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000300"><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s> | <s id="s.000299"><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000301">Ex 5. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000300">Ex 5. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000302"><emph type="italics"/>T. 2. Exemplum cau&longs;æ formalis ex Diapa&longs;on. <!-- KEEP S--></s> | <s id="s.000301"><emph type="italics"/>T. 2. Exemplum cau&longs;æ formalis ex Diapa&longs;on. <!-- KEEP S--></s> |
| <s id="id.000303">Quæ &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s> | <s id="s.000302">Quæ &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000304"><emph type="italics"/>T. 3. Quæ &longs;it Materia in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000303"><emph type="italics"/>T. 3. Quæ &longs;it Materia in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000305"><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s> | <s id="s.000304"><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000306"><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000305"><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000307"><emph type="italics"/>T. 17. Diameter incommen&longs;urab. </s> | <s id="s.000306"><emph type="italics"/>T. 17. Diameter incommen&longs;urab. </s> |
| <s id="id.000308">Quid potentia vnius lineæ.<emph.end type="italics"/></s> | <s id="s.000307">Quid potentia vnius lineæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000309"><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s> | <s id="s.000308"><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000310">Ex 6. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000309">Ex 6. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000311"><emph type="italics"/>T. 1. Principia, elementa, & cau&longs;æ in Mathem.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000310"><emph type="italics"/>T. 1. Principia, elementa, & cau&longs;æ in Mathem.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000312"><emph type="italics"/>T. 8. Diameter. </s> | <s id="s.000311"><emph type="italics"/>T. 8. Diameter. </s> |
| <s id="id.000313">commen&longs;urab.<emph.end type="italics"/></s> | <s id="s.000312">commen&longs;urab.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000314"><emph type="italics"/>T. 20. De&longs;criptiones. </s> | <s id="s.000313"><emph type="italics"/>T. 20. De&longs;criptiones. </s> |
| <s id="id.000315">Omnis triangulus habet tres, &c. </s> | <s id="s.000314">Omnis triangulus habet tres, &c. </s> |
| <s id="id.000316">Cur Angulus in &longs;emicir­<lb/> | <s id="s.000315">Cur Angulus in &longs;emicir­<lb/> |
| culo rectus.<emph.end type="italics"/></s> | culo rectus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000317"><emph type="italics"/>T. 22. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> | <s id="s.000316"><emph type="italics"/>T. 22. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000318">Ex 10. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000317">Ex 10. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000319"><emph type="italics"/>T. 4. Motum diurnum men&longs;uram reliquorum. </s> | <s id="s.000318"><emph type="italics"/>T. 4. Motum diurnum men&longs;uram reliquorum. </s> |
| <s id="id.000320">Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000319">Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000321"><emph type="italics"/>T. 11. Similes figuræ quæ. </s> | <s id="s.000320"><emph type="italics"/>T. 11. Similes figuræ quæ. </s> |
| <s id="id.000322">Diuer&longs;um in Math. quid.<emph.end type="italics"/></s> | <s id="s.000321">Diuer&longs;um in Math. quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000323">Ex 11. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000322">Ex 11. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000324"><emph type="italics"/>Cap. 2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s> | <s id="s.000323"><emph type="italics"/>Cap. 2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000325">Ex 12. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000324">Ex 12. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000326"><emph type="italics"/>T. 44. Peculiari&longs;&longs;imam Philo&longs;ophiam, Mathematicorum videlicet, A&longs;tronomiam <lb/> | <s id="s.000325"><emph type="italics"/>T. 44. Peculiari&longs;&longs;imam Philo&longs;ophiam, Mathematicorum videlicet, A&longs;tronomiam <lb/> |
| pluralitatem Cœlorum docere.<emph.end type="italics"/></s> | pluralitatem Cœlorum docere.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000327"><emph type="italics"/>T. 45. Numerus orbium cœle&longs;tium &longs;ecundum Eudoxum.<emph.end type="italics"/></s> | <s id="s.000326"><emph type="italics"/>T. 45. Numerus orbium cœle&longs;tium &longs;ecundum Eudoxum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000328"><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s> | <s id="s.000327"><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000329"><emph type="italics"/>T. 47. Orbium cœle&longs;tium numerus, & fabrica ex Calippo.<emph.end type="italics"/></s> | <s id="s.000328"><emph type="italics"/>T. 47. Orbium cœle&longs;tium numerus, & fabrica ex Calippo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000330">Ex 13. Methaphy&longs;.<!-- KEEP S--></s> | <s id="s.000329">Ex 13. Methaphy&longs;.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000331"><emph type="italics"/>Cap. 3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000330"><emph type="italics"/>Cap. 3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000332">In Mechanicas Quæ&longs;tiones.</s> | <s id="s.000331">In Mechanicas Quæ&longs;tiones.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000333"><emph type="italics"/>Cap. 1. Quæ &longs;it Mechanica facultas.<emph.end type="italics"/></s> | <s id="s.000332"><emph type="italics"/>Cap. 1. Quæ &longs;it Mechanica facultas.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000334"><emph type="italics"/>Cap. 2. De Admirandis circuli.<emph.end type="italics"/></s> | <s id="s.000333"><emph type="italics"/>Cap. 2. De Admirandis circuli.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000335"><emph type="italics"/>Quæ&longs;tio 1. De Libra. <!-- KEEP S--></s> | <s id="s.000334"><emph type="italics"/>Quæ&longs;tio 1. De Libra. <!-- KEEP S--></s> |
| <s id="id.000336">cur maior, exactior. </s> | <s id="s.000335">cur maior, exactior. </s> |
| <s id="id.000337">inibi Ari&longs;t. lap&longs;us.<emph.end type="italics"/></s> | <s id="s.000336">inibi Ari&longs;t. lap&longs;us.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000338"><emph type="italics"/>Quæ&longs;t. 2. Duplex Libra. <!-- KEEP S--></s> | <s id="s.000337"><emph type="italics"/>Quæ&longs;t. 2. Duplex Libra. <!-- KEEP S--></s> |
| <s id="id.000339">Piccolomineus reiectus.<emph.end type="italics"/></s> | <s id="s.000338">Piccolomineus reiectus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000340"><emph type="italics"/>Quæ&longs;t. 3. De Vecte.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000339"><emph type="italics"/>Quæ&longs;t. 3. De Vecte.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000341"><emph type="italics"/>Quæ&longs;t. 4. De Remo; Petri Nonÿ in Arist. correctio.<emph.end type="italics"/></s> | <s id="s.000340"><emph type="italics"/>Quæ&longs;t. 4. De Remo; Petri Nonÿ in Arist. correctio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000342"><emph type="italics"/>Quæ&longs;t. 5. De Temone Nauis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000341"><emph type="italics"/>Quæ&longs;t. 5. De Temone Nauis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000343"><emph type="italics"/>Quæ&longs;t. 6. De Antenna.<emph.end type="italics"/></s> | <s id="s.000342"><emph type="italics"/>Quæ&longs;t. 6. De Antenna.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000344"><emph type="italics"/>Quæ&longs;t. 8 De Rota.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000343"><emph type="italics"/>Quæ&longs;t. 8 De Rota.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000345"><emph type="italics"/>Quæ&longs;t. 9. De Trochlea, & Scytali. </s> | <s id="s.000344"><emph type="italics"/>Quæ&longs;t. 9. De Trochlea, & Scytali. figura antiquæ &longs;cytalis.<emph.end type="italics"/></s> |
| <s id="id.000346">figura antiquæ &longs;cytalis.<emph.end type="italics"/></s> | |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000347"><emph type="italics"/>Quæ&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s> | <s id="s.000345"><emph type="italics"/>Quæ&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000348"><emph type="italics"/>Qùæ&longs;t. <!-- REMOVE S-->11. De Curru, & &longs;cytala.<emph.end type="italics"/></s> | <s id="s.000346"><emph type="italics"/>Qùæ&longs;t. <!-- REMOVE S-->11. De Curru, & &longs;cytala.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000349"><emph type="italics"/>Quæ&longs;t. 13. De lugo. </s> | <s id="s.000347"><emph type="italics"/>Quæ&longs;t. 13. De lugo. </s> |
| <s id="id.000350">De Succula.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000348">De Succula.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000351"><emph type="italics"/>Quæ&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s> | <s id="s.000349"><emph type="italics"/>Quæ&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000352"><emph type="italics"/>Quæ&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s> | <s id="s.000350"><emph type="italics"/>Quæ&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/017.jpg" pagenum="17" /> | <pb pagenum="17" xlink:href="009/01/017.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000353"><emph type="italics"/>Quæ&longs;t. 17. De Cuneo.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000351"><emph type="italics"/>Quæ&longs;t. 17. De Cuneo.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000354"><emph type="italics"/>Quæ&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s> | <s id="s.000352"><emph type="italics"/>Quæ&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000355"><emph type="italics"/>Quæ&longs;t. 19. De Securi. </s> | <s id="s.000353"><emph type="italics"/>Quæ&longs;t. 19. De Securi. </s> |
| <s id="id.000356">Securis veteris figura, & con&longs;tructio; vnà cum affectione <lb/> | <s id="s.000354">Securis veteris figura, & con&longs;tructio; vnà cum affectione <lb/> |
| eius mirabili.<emph.end type="italics"/></s> | eius mirabili.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000357"><emph type="italics"/>Quæ&longs;t. 20. De Statera. <!-- KEEP S--></s> | <s id="s.000355"><emph type="italics"/>Quæ&longs;t. 20. De Statera. <!-- KEEP S--></s> |
| <s id="id.000358">Veteris stateræ figura restaurata.<emph.end type="italics"/></s> | <s id="s.000356">Veteris stateræ figura restaurata.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000359"><emph type="italics"/>Quæ&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000357"><emph type="italics"/>Quæ&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000360"><emph type="italics"/>Quæ&longs;t. 22. De Nucifrago.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000358"><emph type="italics"/>Quæ&longs;t. 22. De Nucifrago.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000361"><emph type="italics"/>Quæ&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000359"><emph type="italics"/>Quæ&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000362"><emph type="italics"/>Quæ&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s> | <s id="s.000360"><emph type="italics"/>Quæ&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000363"><emph type="italics"/>Quæ&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s> | <s id="s.000361"><emph type="italics"/>Quæ&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000364"><emph type="italics"/>Quæ&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s> | <s id="s.000362"><emph type="italics"/>Quæ&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000365"><emph type="italics"/>Quæ&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s> | <s id="s.000363"><emph type="italics"/>Quæ&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000366"><emph type="italics"/>Quæ&longs;t. 28. De Tollenone.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000364"><emph type="italics"/>Quæ&longs;t. 28. De Tollenone.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000367"><emph type="italics"/>Quæ&longs;t. 29. De onere à duobus phalanga ge&longs;tato.<emph.end type="italics"/></s> | <s id="s.000365"><emph type="italics"/>Quæ&longs;t. 29. De onere à duobus phalanga ge&longs;tato.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000368"><emph type="italics"/>Quæ&longs;t. 30. De &longs;urgente à &longs;e&longs;&longs;ione.<emph.end type="italics"/></s> | <s id="s.000366"><emph type="italics"/>Quæ&longs;t. 30. De &longs;urgente à &longs;e&longs;&longs;ione.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000369">In libello De Mundo ad Alex.<!-- REMOVE S--><emph type="italics"/>Cap. 2. Ordo Planetarum.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000367">In libello De Mundo ad Alex.<!-- REMOVE S--><emph type="italics"/>Cap. 2. Ordo Planetarum.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000370"><emph type="italics"/>Cap. 3. De Cometis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000368"><emph type="italics"/>Cap. 3. De Cometis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000371"><emph type="italics"/>Cap. 5. De fluxu maris. </s> | <s id="s.000369"><emph type="italics"/>Cap. 5. De fluxu maris. </s> |
| <s id="id.000372">noua de maris æ&longs;tu &longs;ententia.<emph.end type="italics"/></s> | <s id="s.000370">noua de maris æ&longs;tu &longs;ententia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000373">In libro De Admirandis audit.</s> | <s id="s.000371">In libro De Admirandis audit.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000374"><emph type="italics"/>Num. <!-- REMOVE S-->8. De nouo orbe.<emph.end type="italics"/></s> | <s id="s.000372"><emph type="italics"/>Num. <!-- REMOVE S-->8. De nouo orbe.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000375"><emph type="italics"/>Nu. </s> | <s id="s.000373"><emph type="italics"/>Nu. </s> |
| <s id="id.000376">100. De I&longs;tro, error Ari&longs;t. & veterum Geographorum.<emph.end type="italics"/></s> | <s id="s.000374">100. De I&longs;tro, error Ari&longs;t. & veterum Geographorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000377">In libello De lineis in&longs;ecabilibus.</s> | <s id="s.000375">In libello De lineis in&longs;ecabilibus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000378"><emph type="italics"/>Primus locus. </s> | <s id="s.000376"><emph type="italics"/>Primus locus. </s> |
| <s id="id.000379">De commen&longs;urabili, & incommen&longs;urabili.<emph.end type="italics"/></s> | <s id="s.000377">De commen&longs;urabili, & incommen&longs;urabili.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000380"><emph type="italics"/>2. locus. </s> | <s id="s.000378"><emph type="italics"/>2. locus. </s> |
| <s id="id.000381">De figuris incommen&longs;.<emph.end type="italics"/></s> | <s id="s.000379">De figuris incommen&longs;.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000382"><emph type="italics"/>3. locus. </s> | <s id="s.000380"><emph type="italics"/>3. locus. </s> |
| <s id="id.000383">Quæ linea rationalis, quæ irrationalis. </s> | <s id="s.000381">Quæ linea rationalis, quæ irrationalis. </s> |
| <s id="id.000384">Binomio, Apotome.<emph.end type="italics"/></s> | <s id="s.000382">Binomio, Apotome.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000385"><emph type="italics"/>4. locus. </s> | <s id="s.000383"><emph type="italics"/>4. locus. </s> |
| <s id="id.000386">De communi men&longs;ura.<emph.end type="italics"/></s> | <s id="s.000384">De communi men&longs;ura.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000387"><emph type="italics"/>5. locus. </s> | <s id="s.000385"><emph type="italics"/>5. locus. </s> |
| <s id="id.000388">Lineæ rectæ motus in &longs;emicirculum.<emph.end type="italics"/></s> | <s id="s.000386">Lineæ rectæ motus in &longs;emicirculum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000389"><emph type="italics"/>6. locus. </s> | <s id="s.000387"><emph type="italics"/>6. locus. </s> |
| <s id="id.000390">Circulorum æqualium ab inuicem motus.<emph.end type="italics"/></s> | <s id="s.000388">Circulorum æqualium ab inuicem motus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000391"><emph type="italics"/>7. locus. </s> | <s id="s.000389"><emph type="italics"/>7. locus. </s> |
| <s id="id.000392">Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000390">Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000393"><emph type="italics"/>8. locus. </s> | <s id="s.000391"><emph type="italics"/>8. locus. </s> |
| <s id="id.000394">Si extarent indiuidua, omnes lineæ e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s> | <s id="s.000392">Si extarent indiuidua, omnes lineæ e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000395"><emph type="italics"/>9. locus. </s> | <s id="s.000393"><emph type="italics"/>9. locus. </s> |
| <s id="id.000396">Idem probat aliteŕ.<emph.end type="italics"/></s> | <s id="s.000394">Idem probat aliteŕ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000397"><emph type="italics"/>10. locus. </s> | <s id="s.000395"><emph type="italics"/>10. locus. </s> |
| <s id="id.000398">Idem ex triangulo.<emph.end type="italics"/></s> | <s id="s.000396">Idem ex triangulo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000399"><emph type="italics"/>11. locus. </s> | <s id="s.000397"><emph type="italics"/>11. locus. </s> |
| <s id="id.000400">Idem ex quadrato.<emph.end type="italics"/></s> | <s id="s.000398">Idem ex quadrato.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000401"><emph type="italics"/>12. Ex diui&longs;ione lineæ idem confirmatur.<emph.end type="italics"/></s> | <s id="s.000399"><emph type="italics"/>12. Ex diui&longs;ione lineæ idem confirmatur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000402"><emph type="italics"/>13. Idem eodem ferè modo cum præcedenti.<emph.end type="italics"/></s> | <s id="s.000400"><emph type="italics"/>13. Idem eodem ferè modo cum præcedenti.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000403"><emph type="italics"/>14. A quadrato cuiu&longs;uis lineæ.<emph.end type="italics"/></s> | <s id="s.000401"><emph type="italics"/>14. A quadrato cuiu&longs;uis lineæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000404"><emph type="italics"/>15. Idem probat ex &longs;uperficie, & ex corpore.<emph.end type="italics"/></s> | <s id="s.000402"><emph type="italics"/>15. Idem probat ex &longs;uperficie, & ex corpore.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000405"><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s> | <s id="s.000403"><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000406">Ex lib. 9. Hi&longs;toriæ Animalium.</s> | <s id="s.000404">Ex lib. 9. Hi&longs;toriæ Animalium.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000407"><emph type="italics"/>Cap. 39. error Ari&longs;t. & noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s> | <s id="s.000405"><emph type="italics"/>Cap. 39. error Ari&longs;t. & noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000408">De Ince&longs;&longs;u Animal.<!-- KEEP S--></s> | <s id="s.000406">De Ince&longs;&longs;u Animal.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000409"><emph type="italics"/>Cap. 7. qua ratione in gre&longs;&longs;u fiat bypotenu&longs;a. </s> | <s id="s.000407"><emph type="italics"/>Cap. 7. qua ratione in gre&longs;&longs;u fiat hypotenu&longs;a. </s> |
| <s id="id.000410">& ea quid &longs;it.<emph.end type="italics"/></s> | <s id="s.000408">& ea quid &longs;it.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000411">De Motu Animal.<!-- KEEP S--></s> | <s id="s.000409">De Motu Animal.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000412"><emph type="italics"/>Cap. 1. in flexuris animalium e&longs;&longs;e centrum, & circulum.<emph.end type="italics"/></s> | <s id="s.000410"><emph type="italics"/>Cap. 1. in flexuris animalium e&longs;&longs;e centrum, & circulum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000413"><emph type="italics"/>Cap. 3. Automata.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000411"><emph type="italics"/>Cap. 3. Automata.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <pb xlink:href="009/01/018.jpg" pagenum="18" /> | <pb pagenum="18" xlink:href="009/01/018.jpg"/> |
| <p type="head"> | <p type="head"> |
| <s id="id.000414">De Generatione Animal.<!-- KEEP S--></s> | <s id="s.000412">De Generatione Animal.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000415"><emph type="italics"/>Lib. 2. cap. 1. Automata.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000413"><emph type="italics"/>Lib. 2. cap. 1. Automata.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000416"><emph type="italics"/>Lib. 2. cap. 4. Omnis triangulus habet tres, &c. </s> | <s id="s.000414"><emph type="italics"/>Lib. 2. cap. 4. Omnis triangulus habet tres, &c. </s> |
| <s id="id.000417">Ibidem Diametrum e&longs;&longs;e incommen­<lb/> | <s id="s.000415">Ibidem Diametrum e&longs;&longs;e incommen­<lb/> |
| &longs;urabilem co&longs;tæ, habet cau&longs;am, & demon&longs;trationem.<emph.end type="italics"/></s> | &longs;urabilem co&longs;tæ, habet cau&longs;am, & demon&longs;trationem.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000418">In Ethicis ad Nicom.</s> | <s id="s.000416">In Ethicis ad Nicom.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000419"><emph type="italics"/>Lib. 1. cap. 7. Faber, & Geometra diuersè con&longs;iderant angulum rectum.<emph.end type="italics"/></s> | <s id="s.000417"><emph type="italics"/>Lib. 1. cap. 7. Faber, & Geometra diuersè con&longs;iderant angulum rectum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000420"><emph type="italics"/>Lib. 2. cap. 6. De Arithmetica proportione.<emph.end type="italics"/></s> | <s id="s.000418"><emph type="italics"/>Lib. 2. cap. 6. De Arithmetica proportione.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000421"><emph type="italics"/>cap. 9. Centrum circuli reperire.<emph.end type="italics"/></s> | <s id="s.000419"><emph type="italics"/>cap. 9. Centrum circuli reperire.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000422"><emph type="italics"/>Lib. 3. cap. 3. Diameter, & latus incommen&longs;urabilis: Item quid re&longs;olutio Geome­<lb/> | <s id="s.000420"><emph type="italics"/>Lib. 3. cap. 3. Diameter, & latus incommen&longs;urabilis: Item quid re&longs;olutio Geome­<lb/> |
| trica: Quid de&longs;ignatio.<emph.end type="italics"/></s> | trica: Quid de&longs;ignatio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000423"><emph type="italics"/>Lib. 5. cap. 3. Vnitarius numerus. </s> | <s id="s.000421"><emph type="italics"/>Lib. 5. cap. 3. Vnitarius numerus. </s> |
| <s id="id.000424">Quid Proportionalitas. <!-- KEEP S--></s> | <s id="s.000422">Quid Proportionalitas. <!-- KEEP S--></s> |
| <s id="id.000425">Eam in 4. terminis con­<lb/> | <s id="s.000423">Eam in 4. terminis con­<lb/> |
| &longs;i&longs;tere. </s> | &longs;i&longs;tere. </s> |
| <s id="id.000426">Item quid Permutata proportio. </s> | <s id="s.000424">Item quid Permutata proportio. </s> |
| <s id="id.000427">Item quid Geometrica proportio. </s> | <s id="s.000425">Item quid Geometrica proportio. </s> |
| <s id="id.000428">Propor­<lb/> | <s id="s.000426">Propor­<lb/> |
| tio continuata, & di&longs;iuncta quid.<emph.end type="italics"/></s> | tio continuata, & di&longs;iuncta quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000429"><emph type="italics"/>cap. 6. Proportio Geometrica, & Arithmetica.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000427"><emph type="italics"/>cap. 6. Proportio Geometrica, & Arithmetica.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000430"><emph type="italics"/>Lib. 6. cap. 5. Omnis triangulus, &c.<emph.end type="italics"/></s> | <s id="s.000428"><emph type="italics"/>Lib. 6. cap. 5. Omnis triangulus, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000431"><emph type="italics"/>cap. 8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s> | <s id="s.000429"><emph type="italics"/>cap. 8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000432"><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000430"><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000433">Ex 1. Magnorum Moralium.</s> | <s id="s.000431">Ex 1. Magnorum Moralium.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000434"><emph type="italics"/>Cap. 1. Numerus pariter par.<emph.end type="italics"/></s> | <s id="s.000432"><emph type="italics"/>Cap. 1. Numerus pariter par.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000435"><emph type="italics"/>Cap. 2. Omnis triangulus habet, &c.<emph.end type="italics"/></s> | <s id="s.000433"><emph type="italics"/>Cap. 2. Omnis triangulus habet, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000436"><emph type="italics"/>Cap. 10 Omnis triangulus habet, &c.<emph.end type="italics"/></s> | <s id="s.000434"><emph type="italics"/>Cap. 10 Omnis triangulus habet, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000437"><emph type="italics"/>Cap. 16. Quadratum quatuor rectis æquales habere.<emph.end type="italics"/></s> | <s id="s.000435"><emph type="italics"/>Cap. 16. Quadratum quatuor rectis æquales habere.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000438"><emph type="italics"/>Cap. 30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s> | <s id="s.000436"><emph type="italics"/>Cap. 30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000439">Ex 1. lib. <!-- REMOVE S-->Moralium Eudemiorum.</s> | <s id="s.000437">Ex 1. lib. <!-- REMOVE S-->Moralium Eudemiorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000440"><emph type="italics"/>Cap. 5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s> | <s id="s.000438"><emph type="italics"/>Cap. 5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000441">Ex 1. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> | <s id="s.000439">Ex 1. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000442"><emph type="italics"/>Cap. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> | <s id="s.000440"><emph type="italics"/>Cap. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000443"><emph type="italics"/>Cap. 10. Diametrum commen&longs;. </s> | <s id="s.000441"><emph type="italics"/>Cap. 10. Diametrum commen&longs;. </s> |
| <s id="id.000444">e&longs;&longs;e. </s> | <s id="s.000442">e&longs;&longs;e. </s> |
| <s id="id.000445">Circuli quadratio.<emph.end type="italics"/></s> | <s id="s.000443">Circuli quadratio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000446"><emph type="italics"/>Cap. 12. Triangulus habet tres, &c.<emph.end type="italics"/></s> | <s id="s.000444"><emph type="italics"/>Cap. 12. Triangulus habet tres, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000447">Ex 7. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> | <s id="s.000445">Ex 7. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000448"><emph type="italics"/>Cap. 12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s> | <s id="s.000446"><emph type="italics"/>Cap. 12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000449">Ex 3. lib. <!-- REMOVE S-->Politicorum.</s> | <s id="s.000447">Ex 3. lib. <!-- REMOVE S-->Politicorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000450"><emph type="italics"/>Cap. 2. Modi Dorius, & Phrygius apud Mu&longs;icos, quì.<emph.end type="italics"/></s> | <s id="s.000448"><emph type="italics"/>Cap. 2. Modi Dorius, & Phrygius apud Mu&longs;icos, quì.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000451">Ex 4. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> | <s id="s.000449">Ex 4. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000452"><emph type="italics"/>Cap. 3. Modus Doricus, & Phrygius.<emph.end type="italics"/></s> | <s id="s.000450"><emph type="italics"/>Cap. 3. Modus Doricus, & Phrygius.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000453">Ex 5. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> | <s id="s.000451">Ex 5. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000454"><emph type="italics"/>Cap. 1. Aequitas Arithmetica, & quæ &longs;ecundum dignitatem.<emph.end type="italics"/></s> | <s id="s.000452"><emph type="italics"/>Cap. 1. Aequitas Arithmetica, & quæ &longs;ecundum dignitatem.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000455">Ex 8. Polit.<!-- KEEP S--></s> | <s id="s.000453">Ex 8. Polit.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000456"><emph type="italics"/>Cap. 5. Mu&longs;ica nuda, & cum melodia. </s> | <s id="s.000454"><emph type="italics"/>Cap. 5. Mu&longs;ica nuda, & cum melodia. </s> |
| <s id="id.000457">Rithmus quid.<emph.end type="italics"/></s> | <s id="s.000455">Rithmus quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000458"><emph type="italics"/>Harmonia lydia. </s> | <s id="s.000456"><emph type="italics"/>Harmonia lydia. </s> |
| <s id="id.000459">Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s> | <s id="s.000457">Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000460"><emph type="italics"/>Cap. 7. Harmoniæ, & Rithmi, vt in præcedenti.<emph.end type="italics"/></s> | <s id="s.000458"><emph type="italics"/>Cap. 7. Harmoniæ, & Rithmi, vt in præcedenti.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000461">Ex Problematibus.</s> | <s id="s.000459">Ex Problematibus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000462"><emph type="italics"/>Sectione 1. num. </s> | <s id="s.000460"><emph type="italics"/>Sectione 1. num. </s> |
| <s id="id.000463">3. De ortu &longs;yderum innerrantium: Succulæ, Hypades, Atlantides, <lb/> | <s id="s.000461">3. De ortu &longs;yderum inerrantium: Succulæ, Hypades, Atlantides, <lb/> |
| Virgiliæ, Pleiades. </s> | Virgiliæ, Pleiades. </s> |
| <s id="id.000464">num. </s> | <s id="s.000462">num. </s> |
| <s id="id.000465">17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s> | <s id="s.000463">17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000466"><emph type="italics"/>Sectione 15. num. </s> | <s id="s.000464"><emph type="italics"/>Sectione 15. num. </s> |
| <s id="id.000467">1. Diametri ethymon.<emph.end type="italics"/></s> | <s id="s.000465">1. Diametri ethymon.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000468"><emph type="italics"/>num. </s> | <s id="s.000466"><emph type="italics"/>num. </s> |
| <s id="id.000469">2. Iterum Diametri ethymologia.<emph.end type="italics"/></s> | <s id="s.000467">2. Iterum Diametri ethymologia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/019.jpg" pagenum="19" /> | <pb pagenum="19" xlink:href="009/01/019.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000470"><emph type="italics"/>num. </s> | <s id="s.000468"><emph type="italics"/>num. </s> |
| <s id="id.000471">3. Denarius numerus cur perfectus. </s> | <s id="s.000469">3. Denarius numerus cur perfectus. </s> |
| <s id="id.000472">eius dignitates. </s> | <s id="s.000470">eius dignitates. </s> |
| <s id="id.000473">Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s> | <s id="s.000471">Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000474"><emph type="italics"/>4. De inæquali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s> | <s id="s.000472"><emph type="italics"/>4. De inæquali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000475"><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotundæ, quamuis per angulo&longs;a foramina ingre­<lb/> | <s id="s.000473"><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotundæ, quamuis per angulo&longs;a foramina ingre­<lb/> |
| diantur.<emph.end type="italics"/></s> | diantur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000476"><emph type="italics"/>6. Cur Luna &longs;emiplena videtur linea recta terminari? </s> | <s id="s.000474"><emph type="italics"/>6. Cur Luna &longs;emiplena videtur linea recta terminari? </s> |
| <s id="id.000477">vbi de illuminatione Lunæ, <lb/> | <s id="s.000475">vbi de illuminatione Lunæ, <lb/> |
| quæ experientia docetur.<emph.end type="italics"/></s> | quæ experientia docetur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000478"><emph type="italics"/>7. Cur Sol, & Luna videantur plana?<emph.end type="italics"/></s> | <s id="s.000476"><emph type="italics"/>7. Cur Sol, & Luna videantur plana?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000479"><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s> | <s id="s.000477"><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000480"><emph type="italics"/>9. Cur Lunæ, quàm Solis minores vmbræ?<emph.end type="italics"/></s> | <s id="s.000478"><emph type="italics"/>9. Cur Lunæ, quàm Solis minores vmbræ?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000481"><emph type="italics"/>10. Cur in defectu Solis etiam illuminationes ip&longs;ius defectiuæ &longs;unt? </s> | <s id="s.000479"><emph type="italics"/>10. Cur in defectu Solis etiam illuminationes ip&longs;ius defectiuæ &longs;unt? </s> |
| <s id="id.000482">modus commodè <lb/> | <s id="s.000480">modus commodè <lb/> |
| videndi eclyp&longs;im Solis.<emph.end type="italics"/><!-- KEEP S--></s> | videndi eclyp&longs;im Solis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000483"><emph type="italics"/>Sect. <!-- REMOVE S-->16. nu. </s> | <s id="s.000481"><emph type="italics"/>Sect. <!-- REMOVE S-->16. nu. </s> |
| <s id="id.000484">1. Cur ba&longs;es bullarum in aquis &longs;unt albæ?<emph.end type="italics"/></s> | <s id="s.000482">1. Cur ba&longs;es bullarum in aquis &longs;unt albæ?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000485"><emph type="italics"/>3. Opplumbati tali.<emph.end type="italics"/></s> | <s id="s.000483"><emph type="italics"/>3. Opplumbati tali.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000486"><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s> | <s id="s.000484"><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000487"><emph type="italics"/>5. Cur conus, & cylindrus diuersè moueantur.<emph.end type="italics"/></s> | <s id="s.000485"><emph type="italics"/>5. Cur conus, & cylindrus diuersè moueantur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000488"><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s> | <s id="s.000486"><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000489"><emph type="italics"/>12. Idem cum præcedenti 3.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000487"><emph type="italics"/>12. Idem cum præcedenti 3.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000490"><emph type="italics"/>13. Idem cum 4 &longs;uperiori. </s> | <s id="s.000488"><emph type="italics"/>13. Idem cum 4 &longs;uperiori. </s> |
| <s id="id.000491">reflexio radiorŭ pulchrè comparatur corporŭ re&longs;ultationi.<emph.end type="italics"/></s> | <s id="s.000489">reflexio radiorŭm pulchrè comparatur corporŭm re&longs;ultationi.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000492">Ex &longs;ectione 19. De Mu&longs;ica.<!-- KEEP S--></s> | <s id="s.000490">Ex &longs;ectione 19. De Mu&longs;ica.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000493"><emph type="italics"/>num. </s> | <s id="s.000491"><emph type="italics"/>num. </s> |
| <s id="id.000494">2. Lineæ duplæ quadratum quadruplum. </s> | <s id="s.000492">2. Lineæ duplæ quadratum quadruplum. </s> |
| <s id="id.000495">Hoc loco &longs;equentium probl. </s> | <s id="s.000493">Hoc loco &longs;equentium probl. </s> |
| <s id="id.000496">cau&longs;a, <lb/> | <s id="s.000494">cau&longs;a, <lb/> |
| præmittitur totius Mu&longs;icæ ortus breuis tractatio.<emph.end type="italics"/></s> | præmittitur totius Mu&longs;icæ ortus breuis tractatio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000497"><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s> | <s id="s.000495"><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000498"><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s> | <s id="s.000496"><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000499"><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s> | <s id="s.000497"><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000500"><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s> | <s id="s.000498"><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000501"><emph type="italics"/>8. Cur grauis &longs;onum potest acutæ?<emph.end type="italics"/></s> | <s id="s.000499"><emph type="italics"/>8. Cur grauis &longs;onum potest acutæ?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000502"><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s> | <s id="s.000500"><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000503"><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s> | <s id="s.000501"><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000504"><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s> | <s id="s.000502"><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000505"><emph type="italics"/>12. Grauior è fidibus cantilenam &longs;u&longs;cipit.<emph.end type="italics"/></s> | <s id="s.000503"><emph type="italics"/>12. Grauior è fidibus cantilenam &longs;u&longs;cipit.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000506"><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s> | <s id="s.000504"><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000507"><emph type="italics"/>14. Cur Diapa&longs;on vnica vox videtur. </s> | <s id="s.000505"><emph type="italics"/>14. Cur Diapa&longs;on vnica vox videtur. </s> |
| <s id="id.000508">Punicum quid.<emph.end type="italics"/></s> | <s id="s.000506">Punicum quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000509"><emph type="italics"/>15. Leges Mu&longs;icæ, quæ. </s> | <s id="s.000507"><emph type="italics"/>15. Leges Mu&longs;icæ, quæ. </s> |
| <s id="id.000510">Genera, Diatonicum, Chromaticum, Encharmonium. <lb/> | <s id="s.000508">Genera, Diatonicum, Chromaticum, Encharmonium. <lb/> |
| </s> | </s> |
| <s id="id.000511">Tetrachorda quæ.<emph.end type="italics"/></s> | <s id="s.000509">Tetrachorda quæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000512"><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s> | <s id="s.000510"><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000513"><emph type="italics"/>17. Cur &longs;ola Diapa&longs;on canitur. </s> | <s id="s.000511"><emph type="italics"/>17. Cur &longs;ola Diapa&longs;on canitur. </s> |
| <s id="id.000514">Magadis quid. </s> | <s id="s.000512">Magadis quid. </s> |
| <s id="id.000515">Magadare.<emph.end type="italics"/></s> | <s id="s.000513">Magadare.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000516"><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s> | <s id="s.000514"><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000517"><emph type="italics"/>19. Cur Diapente, & Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s> | <s id="s.000515"><emph type="italics"/>19. Cur Diapente, & Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000518"><emph type="italics"/>20. Me&longs;e &longs;ola di&longs;&longs;onante, totum de&longs;&longs;onat p&longs;alterium.<emph.end type="italics"/></s> | <s id="s.000516"><emph type="italics"/>20. Me&longs;e &longs;ola di&longs;&longs;onante, totum de&longs;&longs;onat p&longs;alterium.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000519"><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s> | <s id="s.000517"><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000520"><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s> | <s id="s.000518"><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000521"><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s> | <s id="s.000519"><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000522"><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s> | <s id="s.000520"><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000523"><emph type="italics"/>27. Cur &longs;ola audibilia mores obtinent. </s> | <s id="s.000521"><emph type="italics"/>27. Cur &longs;ola audibilia mores obtinent. </s> |
| <s id="id.000524">Rithmus quid.<emph.end type="italics"/></s> | <s id="s.000522">Rithmus quid.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000525"><emph type="italics"/>28. Cur cantilenæ quædam leges decebantur?<emph.end type="italics"/></s> | <s id="s.000523"><emph type="italics"/>28. Cur cantilenæ quædam leges decebantur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000526"><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s> | <s id="s.000524"><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/020.jpg" pagenum="20" /> | <pb pagenum="20" xlink:href="009/01/020.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000527"><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melopæos.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000525"><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melopæos.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000528"><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s> | <s id="s.000526"><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000529"><emph type="italics"/>33. Cur aptè de acuto in graue, non è contra canitur?<emph.end type="italics"/></s> | <s id="s.000527"><emph type="italics"/>33. Cur aptè de acuto in graue, non è contra canitur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000530"><emph type="italics"/>34. Cur bi&longs;diapente, aut bi&longs;diate&longs;&longs;aron con&longs;onantia non e&longs;t.<emph.end type="italics"/></s> | <s id="s.000528"><emph type="italics"/>34. Cur bi&longs;diapente, aut bi&longs;diate&longs;&longs;aron con&longs;onantia non e&longs;t.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000531"><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s> | <s id="s.000529"><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000532"><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s> | <s id="s.000530"><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000533"><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s> | <s id="s.000531"><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000534"><emph type="italics"/>38. Cur Rythmo, & harmonij omnes gaudent?<emph.end type="italics"/></s> | <s id="s.000532"><emph type="italics"/>38. Cur Rythmo, & harmonij omnes gaudent?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000535"><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s> | <s id="s.000533"><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000536"><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s> | <s id="s.000534"><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000537"><emph type="italics"/>41. Idem cum 5.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000535"><emph type="italics"/>41. Idem cum 5.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000538"><emph type="italics"/>42. Idem cum 34.<emph.end type="italics"/></s> | <s id="s.000536"><emph type="italics"/>42. Idem cum 34.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000539"><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete­<lb/> | <s id="s.000537"><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete­<lb/> |
| ris lyræ.<emph.end type="italics"/></s> | ris lyræ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000540"><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s> | <s id="s.000538"><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000541"><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s> | <s id="s.000539"><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000542"><emph type="italics"/>46. Idem cum 22.<emph.end type="italics"/></s> | <s id="s.000540"><emph type="italics"/>46. Idem cum 22.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000543"><emph type="italics"/>47. Idem cum 26.<emph.end type="italics"/></s> | <s id="s.000541"><emph type="italics"/>47. Idem cum 26.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000544"><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s> | <s id="s.000542"><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000545"><emph type="italics"/>49. Idem cum 30. In choris tragœdiarum, nec &longs;ubdorius, nec &longs;ubphrygius modus <lb/> | <s id="s.000543"><emph type="italics"/>49. Idem cum 30. In choris tragœdiarum, nec &longs;ubdorius, nec &longs;ubphrygius modus <lb/> |
| erat in v&longs;u.<emph.end type="italics"/></s> | erat in v&longs;u.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000546"><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s> | <s id="s.000544"><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000547"><emph type="italics"/>51. Dolia duo æqualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on <lb/> | <s id="s.000545"><emph type="italics"/>51. Dolia duo æqualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on <lb/> |
| re&longs;onant.<emph.end type="italics"/></s> | re&longs;onant.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000548">Ex &longs;ectione 23.</s> | <s id="s.000546">Ex &longs;ectione 23.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000549"><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s> | <s id="s.000547"><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000550">Ex &longs;ectione 30.</s> | <s id="s.000548">Ex &longs;ectione 30.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000551"><emph type="italics"/>6. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s> | <s id="s.000549"><emph type="italics"/>6. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000552">Ex &longs;ectione 31.</s> | <s id="s.000550">Ex &longs;ectione 31.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000553"><emph type="italics"/>7. Cur o culos, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla vi, ab inuicem di&longs;&longs;ociari nequimus?<emph.end type="italics"/></s> | <s id="s.000551"><emph type="italics"/>7. Cur o culos, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla vi, ab inuicem di&longs;&longs;ociari nequimus?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000554"><emph type="italics"/>Cur duobus oculis res vna tantum videatur. </s> | <s id="s.000552"><emph type="italics"/>Cur duobus oculis res vna tantum videatur. </s> |
| <s id="id.000555">Cur aliquando rei vi&longs;æ gemina­<lb/> | <s id="s.000553">Cur aliquando rei vi&longs;æ gemina­<lb/> |
| tio accidat.<emph.end type="italics"/></s> | tio accidat.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000556"><emph type="italics"/>11. Cur di&longs;tractis oculis res vna duæ apparent?<emph.end type="italics"/></s> | <s id="s.000554"><emph type="italics"/>11. Cur di&longs;tractis oculis res vna duæ apparent?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000557"><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s> | <s id="s.000555"><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000558"><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s> | <s id="s.000556"><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000559">Auctarium De Oculi Pupilla.<!-- KEEP S--></s> | <s id="s.000557">Auctarium De Oculi Pupilla.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000560"><emph type="italics"/>Oculi fabrica præmittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s> | <s id="s.000558"><emph type="italics"/>Oculi fabrica præmittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000561"><emph type="italics"/>Primo. </s> | <s id="s.000559"><emph type="italics"/>Primo. </s> |
| <s id="id.000562">De pupillæ voce.<emph.end type="italics"/></s> | <s id="s.000560">De pupillæ voce.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000563"><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s> | <s id="s.000561"><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000564"><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s> | <s id="s.000562"><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000565"><emph type="italics"/>4. Pupillæ definitio.<emph.end type="italics"/></s> | <s id="s.000563"><emph type="italics"/>4. Pupillæ definitio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000566"><emph type="italics"/>5. Cur mgra in omnibus hominibus.<emph.end type="italics"/></s> | <s id="s.000564"><emph type="italics"/>5. Cur nigra in omnibus hominibus.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000567"><emph type="italics"/>6. Cur in Sole euane&longs; cat.<emph.end type="italics"/></s> | <s id="s.000565"><emph type="italics"/>6. Cur in Sole euane&longs;cat.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000568"><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s> | <s id="s.000566"><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000569"><emph type="italics"/>8. Cur modo maior, modo minor videatur, & cui&longs;dam lepida deceptio.<emph.end type="italics"/></s> | <s id="s.000567"><emph type="italics"/>8. Cur modo maior, modo minor videatur, & cui&longs;dam lepida deceptio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <pb xlink:href="009/01/021.jpg" pagenum="21" /> | <pb pagenum="21" xlink:href="009/01/021.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000570">Additamentum de natura Mathematicarum di&longs;ciplinarum.</s> | <s id="s.000568">Additamentum de natura Mathematicarum di&longs;ciplinarum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000571"><emph type="italics"/>Primo. </s> | <s id="s.000569"><emph type="italics"/>Primo. </s> |
| <s id="id.000572">De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio­<lb/> | <s id="s.000570">De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio­<lb/> |
| nes Mathematicæ e&longs;&longs;e perfecti&longs;&longs;imæ.<emph.end type="italics"/></s> | nes Mathematicæ e&longs;&longs;e perfecti&longs;&longs;imæ.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000573">2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s> | <s id="s.000571">2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000574">3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumniæ diluuntur.<emph.end type="italics"/></s> | <s id="s.000572">3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumniæ diluuntur.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000575">4. <emph type="italics"/>De præstantia cognitionis, quam Geometria, & Arithmetica gignunt.<emph.end type="italics"/></s> | <s id="s.000573">4. <emph type="italics"/>De præstantia cognitionis, quam Geometria, & Arithmetica gignunt.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000576">5. <emph type="italics"/>De 4. Mathematicis medijs: A&longs;tronomia, Per&longs;pectiua, Mu&longs;ica, Mechanica.<emph.end type="italics"/></s> | <s id="s.000574">5. <emph type="italics"/>De 4. Mathematicis medijs: A&longs;tronomia, Per&longs;pectiua, Mu&longs;ica, Mechanica.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000577">6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000575">6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000578">7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s> | <s id="s.000576">7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000579"><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s> | <s id="s.000577"><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s> |
| </p> | </p> |
| </section> | </section> |
| <pb xlink:href="009/01/022.jpg" pagenum="22" /> | <pb pagenum="22" xlink:href="009/01/022.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000580"><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s> | <s id="s.000578"><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000581"><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata, <lb/> | <s id="s.000579"><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata, <lb/> |
| ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe­<lb/> | ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe­<lb/> |
| runtur; vt Mathematicarum Profe&longs;&longs;ores habeant, <lb/> | runtur; vt Mathematicarum Profe&longs;&longs;ores habeant, <lb/> |
| vnde &longs;uas prælectiones aliquando valeant locupletare.<emph.end type="italics"/></s> | vnde &longs;uas prælectiones aliquando valeant locupletare.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000582"><emph type="italics"/>In Primo Elem. Euclidis.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000580"><emph type="italics"/>In Primo Elem. Euclidis.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000583">Ad verbum ip&longs;um <emph type="italics"/>(Elementum Euclidis)<emph.end type="italics"/> vide infra tex. <!-- REMOVE S-->4. quinti <lb/> | <s id="s.000581">Ad verbum ip&longs;um <emph type="italics"/>(Elementum Euclidis)<emph.end type="italics"/> vide infra tex. <!-- REMOVE S-->4. quinti <lb/> |
| Methaph.<!-- KEEP S--></s> | Methaph.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000584">Ad principia primi elementorum, vide infra tex. <!-- REMOVE S-->5. pri. <!-- REMOVE S-->Po&longs;ter.<!-- KEEP S--></s> | <s id="s.000582">Ad principia primi elementorum, vide infra tex. <!-- REMOVE S-->5. pri. <!-- REMOVE S-->Po&longs;ter.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000585">Ad definitionem 10. pri. <!-- REMOVE S-->pro angulo recto, vide 30. quæ&longs;t. </s> | <s id="s.000583">Ad definitionem 10. pri. <!-- REMOVE S-->pro angulo recto, vide 30. quæ&longs;t. </s> |
| <s id="id.000586">Mecha­<lb/> | <s id="s.000584">Mecha­<lb/> |
| nic. <!-- REMOVE S-->& cap. 7. lib. 1. Eth.<!-- KEEP S--></s> | nic. <!-- REMOVE S-->& cap. 7. lib. 1. Eth.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000587">Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim <lb/> | <s id="s.000585">Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim <lb/> |
| hoc vno axiomate qu&etail;&longs;tionem <expan abbr="quãdam">quandam</expan> inter Philo&longs;ophos valdè difficilem, <lb/> | hoc vno axiomate qu&etail;&longs;tionem <expan abbr="quãdam">quandam</expan> inter Philo&longs;ophos valdè difficilem, <lb/> |
| facile di&longs;&longs;olui. </s> | facile di&longs;&longs;olui. </s> |
| <s id="id.000588">ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle­<lb/> | <s id="s.000586">ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle­<lb/> |
| xibile &longs;ucce&longs;&longs;iuè findi, & aperiri po&longs;&longs;it. </s> | xibile &longs;ucce&longs;&longs;iuè findi, & aperiri po&longs;&longs;it. </s> |
| <s id="id.000589">qui enim aiunt, &longs;ic refelluntur, quia <lb/> | <s id="s.000587">qui enim aiunt, &longs;ic refelluntur, quia <lb/> |
| nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in­<lb/> | nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in­<lb/> |
| telligantur enim duæ lineæ, vna in vna &longs;uperficie, altera vero in altera, quæ <lb/> | telligantur enim duæ lineæ, vna in vna &longs;uperficie, altera vero in altera, quæ <lb/> |
| antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio <lb/> | antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio <lb/> |
| |
| &longs;egmentum commune, quod e&longs;t impo&longs;&longs;ibile, quia contra 10. axioma.</s> | &longs;egmentum commune, quod e&longs;t impo&longs;&longs;ibile, quia contra 10. axioma.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000590">Ad Calcem axiomatum primi accommodetur tex. <!-- REMOVE S-->1. primi Po&longs;ter.<!-- KEEP S--></s> | <s id="s.000588">Ad Calcem axiomatum primi accommodetur tex. <!-- REMOVE S-->1. primi Po&longs;ter.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000591">Ad primam primi, po&longs;t ip&longs;ius explicationem, commodè declarari pote&longs;t, cur <lb/> | <s id="s.000589">Ad primam primi, po&longs;t ip&longs;ius explicationem, commodè declarari pote&longs;t, cur <lb/> |
| Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, & De&longs;igna­<lb/> | Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, & De&longs;igna­<lb/> |
| tiones, vide cap. de Priori, & cap. 24. &longs;ecti primi, libri primi Priorum, & <lb/> | tiones, vide cap. de Priori, & cap. 24. &longs;ecti primi, libri primi Priorum, & <lb/> |
| tex. <!-- REMOVE S-->4. quinti Methaph. <!-- REMOVE S-->& tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->& cap. 3. lib. 3. Ethic. <lb/> | tex. <!-- REMOVE S-->4. quinti Methaph. <!-- REMOVE S-->& tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->& cap. 3. lib. 3. Ethic. <lb/> |
| <!-- KEEP S--></s> | <!-- KEEP S--></s> |
| <s id="id.000592">Item ad primam primi, vide tex. <!-- REMOVE S-->7. &longs;ecundi Po&longs;ter. loco 2.<!-- KEEP S--></s> | <s id="s.000590">Item ad primam primi, vide tex. <!-- REMOVE S-->7. &longs;ecundi Po&longs;ter. loco 2.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000593">Ad 5. primi, vide cap. 24. &longs;ecti 1 lib. 1. Priorum.</s> | <s id="s.000591">Ad 5. primi, vide cap. 24. &longs;ecti 1 lib. 1. Priorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000594">Ad 21. primi, vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> | <s id="s.000592">Ad 21. primi, vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000595">Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s> | <s id="s.000593">Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000596">Ad 28. primi, vide cap. 21. & cap. 22. &longs;ecundi <expan abbr="Priorũ">Priorum</expan>, & tex. <!-- REMOVE S-->13. primi Po&longs;ter.<!-- KEEP S--></s> | <s id="s.000594">Ad 28. primi, vide cap. 21. & cap. 22. &longs;ecundi <expan abbr="Priorũ">Priorum</expan>, & tex. <!-- REMOVE S-->13. primi Po&longs;ter.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000597">Ad 32. primi, vide cap. 1. &longs;ecti 3. lib. 1. Prior. <!-- REMOVE S-->& cap. 26. &longs;ecundi <expan abbr="Priorũ">Priorum</expan>, & tex. <!-- REMOVE S-->2. <lb/> | <s id="s.000595">Ad 32. primi, vide cap. 1. &longs;ecti 3. lib. 1. Prior. <!-- REMOVE S-->& cap. 26. &longs;ecundi <expan abbr="Priorũ">Priorum</expan>, & tex. <!-- REMOVE S-->2. <lb/> |
| primi Po&longs;ter. loco 4. & tex. <!-- REMOVE S-->23. primi Po&longs;ter. <!-- REMOVE S-->vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam <lb/> | primi Po&longs;ter. loco 4. & tex. <!-- REMOVE S-->23. primi Po&longs;ter. <!-- REMOVE S-->vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam <lb/> |
| <expan abbr="demõ&longs;trationem">demon&longs;trationem</expan>. </s> | <expan abbr="demõ&longs;trationem">demon&longs;trationem</expan>. </s> |
| <s id="id.000598">& tex. <!-- REMOVE S-->37. primi Po&longs;ter. & tex. <!-- REMOVE S-->39. primi Po&longs;ter. <!-- KEEP S--></s> | <s id="s.000596">& tex. <!-- REMOVE S-->37. primi Po&longs;ter. & tex. <!-- REMOVE S-->39. primi Po&longs;ter. <!-- KEEP S--></s> |
| <s id="id.000599">Ibidem <lb/> | <s id="s.000597">Ibidem <lb/> |
| loco 4. & tex. <!-- REMOVE S-->43. primi Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->2. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->bis. </s> | loco 4. & tex. <!-- REMOVE S-->43. primi Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->2. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->bis. </s> |
| <s id="id.000600">& tex. <!-- REMOVE S-->89. &longs;e­<lb/> | <s id="s.000598">& tex. <!-- REMOVE S-->89. &longs;e­<lb/> |
| cundi Phy&longs;. & tex. <!-- REMOVE S-->15. octaui Phy&longs;. <!-- REMOVE S-->& tex. <!-- REMOVE S-->119. primi de Cœlo. <!-- KEEP S--></s> | cundi Phy&longs;. & tex. <!-- REMOVE S-->15. octaui Phy&longs;. <!-- REMOVE S-->& tex. <!-- REMOVE S-->119. primi de Cœlo. <!-- KEEP S--></s> |
| <s id="id.000601">& tex. <!-- REMOVE S-->25. <lb/> | <s id="s.000599">& tex. <!-- REMOVE S-->25. <lb/> |
| &longs;ecundi de Cœlo. <!-- KEEP S--></s> | &longs;ecundi de Cœlo. <!-- KEEP S--></s> |
| <s id="id.000602">tex 11. primi de Anima. <!-- REMOVE S-->& cap. 1. de mem. </s> | <s id="s.000600">tex 11. primi de Anima. <!-- REMOVE S-->& cap. 1. de mem. </s> |
| <s id="id.000603">& remini&longs;c. <lb/> | <s id="s.000601">& remini&longs;c. <lb/> |
| </s> | </s> |
| <s id="id.000604">& tex. <!-- REMOVE S-->35. quinti Methaphy&longs;. & tex. <!-- REMOVE S-->20. &longs;exti Methaphy&longs;. <!-- REMOVE S-->& tex. <!-- REMOVE S-->22. &longs;exti <lb/> | <s id="s.000602">& tex. <!-- REMOVE S-->35. quinti Methaphy&longs;. & tex. <!-- REMOVE S-->20. &longs;exti Methaphy&longs;. <!-- REMOVE S-->& tex. <!-- REMOVE S-->22. &longs;exti <lb/> |
| Methaphy&longs;. <!-- REMOVE S-->& cap. 4. lib. 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> | Methaphy&longs;. <!-- REMOVE S-->& cap. 4. lib. 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> |
| <s id="id.000605">& cap. 5. lib. 6. Ethic. <!-- REMOVE S-->& <lb/> | <s id="s.000603">& cap. 5. lib. 6. Ethic. <!-- REMOVE S-->& <lb/> |
| cap. 2. Magnorum Moral. & cap. 10. Mag. Moral. & cap. 16. Mag. Moral. <lb/> | cap. 2. Magnorum Moral. & cap. 10. Mag. Moral. & cap. 16. Mag. Moral. <lb/> |
| <!-- REMOVE S-->& cap. <!-- REMOVE S-->7. &longs;ecundi Eudem. & cap. <!-- REMOVE S-->12. &longs;ecundi Eudem. <!-- REMOVE S-->& problema 6. &longs;ectio­ | <!-- REMOVE S-->& cap. <!-- REMOVE S-->7. &longs;ecundi Eudem. & cap. <!-- REMOVE S-->12. &longs;ecundi Eudem. <!-- REMOVE S-->& problema 6. &longs;ectio­ |
| | |
| | |
| <pb xlink:href="009/01/023.jpg" pagenum="23" />nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica hæc Euclidis Demon&longs;tratio.</s> | <pb pagenum="23" xlink:href="009/01/023.jpg"/>nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica hæc Euclidis Demon&longs;tratio.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000606">Ad &longs;cholion præcedentis 32. primi, vide tex. <!-- REMOVE S-->39. primi Po&longs;ter. loco 3. Item <lb/> | <s id="s.000604">Ad &longs;cholion præcedentis 32. primi, vide tex. <!-- REMOVE S-->39. primi Po&longs;ter. loco 3. Item <lb/> |
| tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->loco vlt.</s> | tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->loco vlt.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000607">Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s> | <s id="s.000605">Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000608">Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s> | <s id="s.000606">Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000609">Ad 47. primi, vide locum 11. de lineis in&longs;ecab. </s> | <s id="s.000607">Ad 47. primi, vide locum 11. de lineis in&longs;ecab. </s> |
| <s id="id.000610">Item locum 14. de ij&longs;dem.</s> | <s id="s.000608">Item locum 14. de ij&longs;dem.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000611"><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000609"><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000612">Ad 2. definitionem 2. Gnomonis, vide cap. de Motu in Po&longs;tprædicam. </s> | <s id="s.000610">Ad 2. definitionem 2. Gnomonis, vide cap. de Motu in Po&longs;tprædicam. </s> |
| <s id="id.000613">Qua­<lb/> | <s id="s.000611">Qua­<lb/> |
| dratum augetur Gnomone circumpo&longs;ito.</s> | dratum augetur Gnomone circumpo&longs;ito.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000614">Ad 14. propo&longs;. </s> | <s id="s.000612">Ad 14. propo&longs;. </s> |
| <s id="id.000615">2. opportunum e&longs;t Auditores de Quadratura circuli erudire, <lb/> | <s id="s.000613">2. opportunum e&longs;t Auditores de Quadratura circuli erudire, <lb/> |
| vide igitur cap. de relatione in prædicam. </s> | vide igitur cap. de relatione in prædicam. </s> |
| <s id="id.000616">& cap. 31. &longs;ecundi Priorum, & <lb/> | <s id="s.000614">& cap. 31. &longs;ecundi Priorum, & <lb/> |
| tex. <!-- REMOVE S-->23. primi Po&longs;ter. & finem 1. cap. primi Elenchorum. </s> | tex. <!-- REMOVE S-->23. primi Po&longs;ter. & finem 1. cap. primi Elenchorum. </s> |
| <s id="id.000617">lege primam Ar­<lb/> | <s id="s.000615">lege primam Ar­<lb/> |
| chimedis de dimen&longs;ione circuli.</s> | chimedis de dimen&longs;ione circuli.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000618"><emph type="italics"/>In tertio Elem.<emph.end type="italics"/><!-- KEEP S--></s> | <s id="s.000616"><emph type="italics"/>In tertio Elem.<emph.end type="italics"/><!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000619">Ad primam 3. vide cap. 9. lib. 2. Ethycorum.</s> | <s id="s.000617">Ad primam 3. vide cap. 9. lib. 2. Ethycorum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000620">Ad 2. tertij, vide tex. <!-- REMOVE S-->13. lib. 1. de Anima. <!-- REMOVE S-->& locum 16. de lineis in&longs;ecab.</s> | <s id="s.000618">Ad 2. tertij, vide tex. <!-- REMOVE S-->13. lib. 1. de Anima. <!-- REMOVE S-->& locum 16. de lineis in&longs;ecab.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000621">Ad 31. tertij, vide tex. <!-- REMOVE S-->11. &longs;ecundi Po&longs;ter. & tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> | <s id="s.000619">Ad 31. tertij, vide tex. <!-- REMOVE S-->11. &longs;ecundi Po&longs;ter. & tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000622"><emph type="italics"/>In quarto.<emph.end type="italics"/></s> | <s id="s.000620"><emph type="italics"/>In quarto.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000623">Ad commentarium P. <!-- REMOVE S-->Clauij extremum lib. 4. elementorum. </s> | <s id="s.000621">Ad commentarium P. <!-- REMOVE S-->Clauij extremum lib. 4. elementorum. </s> |
| <s id="id.000624">lege tex. <!-- REMOVE S-->66. <lb/> | <s id="s.000622">lege tex. <!-- REMOVE S-->66. <lb/> |
| tertij de Cœlo.<!-- KEEP S--></s> | tertij de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000625"><emph type="italics"/>In quinto.<emph.end type="italics"/></s> | <s id="s.000623"><emph type="italics"/>In quinto.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000626">Ad 4. definitionem 5. vide cap. 3. lib. 2. Ethyc.<!-- KEEP S--></s> | <s id="s.000624">Ad 4. definitionem 5. vide cap. 3. lib. 2. Ethyc.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000627">Ad 9. definitionem 5. vide cap. 3. lib. 5. Ethyc. <!-- REMOVE S-->loco 4. & cap. 31. primi Ma­<lb/> | <s id="s.000625">Ad 9. definitionem 5. vide cap. 3. lib. 5. Ethyc. <!-- REMOVE S-->loco 4. & cap. 31. primi Ma­<lb/> |
| gnorum Moralium.</s> | gnorum Moralium.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000628">Ad 10. definitionem 5. vide tex. <!-- REMOVE S-->29. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> | <s id="s.000626">Ad 10. definitionem 5. vide tex. <!-- REMOVE S-->29. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000629">Ad 12. definitionem 5. vide tex. <!-- REMOVE S-->13. primi Po&longs;ter. <!-- REMOVE S-->loco 3. & tex. <!-- REMOVE S-->25. &longs;ecundi <lb/> | <s id="s.000627">Ad 12. definitionem 5. vide tex. <!-- REMOVE S-->13. primi Po&longs;ter. <!-- REMOVE S-->loco 3. & tex. <!-- REMOVE S-->25. &longs;ecundi <lb/> |
| Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->32. tertij de Anima. <!-- REMOVE S-->& cap. 3. lib. 5. Ethyc. <!-- REMOVE S-->loco 4.<!-- KEEP S--></s> | Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->32. tertij de Anima. <!-- REMOVE S-->& cap. 3. lib. 5. Ethyc. <!-- REMOVE S-->loco 4.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000630">Ad 16. propo&longs;. </s> | <s id="s.000628">Ad 16. propo&longs;. </s> |
| <s id="id.000631">5. vide tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon­<lb/> | <s id="s.000629">5. vide tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon­<lb/> |
| &longs;tratione patet, vitio&longs;am e&longs;&longs;e illam Auerrois argumentationem, 8. Phy&longs;. <lb/> | &longs;tratione patet, vitio&longs;am e&longs;&longs;e illam Auerrois argumentationem, 8. Phy&longs;. <lb/> |
| <!-- REMOVE S-->comm. <!-- REMOVE S-->15. &longs;cilicet.</s> | <!-- REMOVE S-->comm. <!-- REMOVE S-->15. &longs;cilicet.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000632">Vt &longs;e habet voluntas antiqua ad antiquum effectum, <lb/> | <s id="s.000630">Vt &longs;e habet voluntas antiqua ad antiquum effectum, <lb/> |
| Ita &longs;e habet etiam voluntas noua ad effectum nouum: <lb/> | Ita &longs;e habet etiam voluntas noua ad effectum nouum: <lb/> |
| Ergo permutando, ita &longs;e habebit voluntas antiqua ad effectum nouum. <lb/> | Ergo permutando, ita &longs;e habebit voluntas antiqua ad effectum nouum. <lb/> |
| </s> | </s> |
| <s id="id.000633">Quemadmodum voluntas noua ad effectum antiquum.</s> | <s id="s.000631">Quemadmodum voluntas noua ad effectum antiquum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000634">Non enim in permutando confert antecedentem ad antecedentem, & con­<lb/> | <s id="s.000632">Non enim in permutando confert antecedentem ad antecedentem, & con­<lb/> |
| &longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad <lb/> | &longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad <lb/> |
| con&longs;equentem, quod non licet.</s> | con&longs;equentem, quod non licet.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000635"><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s> | <s id="s.000633"><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000636">Ad 2. propo&longs;it. </s> | <s id="s.000634">Ad 2. propo&longs;it. </s> |
| <s id="id.000637">6. vide cap. 2. lib. 8. Topicorum loco 41.</s> | <s id="s.000635">6. vide cap. 2. lib. 8. Topicorum loco 41.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000638">Ad 13. &longs;exti, vide tex. <!-- REMOVE S-->12. &longs;ecundi de Anima, & tex. <!-- REMOVE S-->3. tertij Methaphy&longs;.<!-- REMOVE S--><emph type="italics"/>In &longs;eptimo.<emph.end type="italics"/></s> | <s id="s.000636">Ad 13. &longs;exti, vide tex. <!-- REMOVE S-->12. &longs;ecundi de Anima, & tex. <!-- REMOVE S-->3. tertij Methaphy&longs;.<!-- REMOVE S--><emph type="italics"/>In &longs;eptimo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000639">Ad primam definitionem 7. vide tex. <!-- REMOVE S-->5. primi Po&longs;ter.<!-- KEEP S--></s> | <s id="s.000637">Ad primam definitionem 7. vide tex. <!-- REMOVE S-->5. primi Po&longs;ter.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000640">Ad 8. definitionem 7. vide cap. 1. lib. 1. Magnorum Moral.<!-- KEEP S--></s> | <s id="s.000638">Ad 8. definitionem 7. vide cap. 1. lib. 1. Magnorum Moral.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000641"><emph type="italics"/>In octauo.<emph.end type="italics"/></s> | <s id="s.000639"><emph type="italics"/>In octauo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000642">Ad 4. propo&longs;. </s> | <s id="s.000640">Ad 4. propo&longs;. </s> |
| <s id="id.000643">9. vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> | <s id="s.000641">9. vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000644">Ad 8. propo&longs;. </s> | <s id="s.000642">Ad 8. propo&longs;. </s> |
| <s id="id.000645">9. vide problem. </s> | <s id="s.000643">9. vide problem. </s> |
| <s id="id.000646">3. &longs;ectionis 15. loco 4.<!-- KEEP S--></s> | <s id="s.000644">3. &longs;ectionis 15. loco 4.<!-- KEEP S--></s> |
| </p> | </p> |
| <pb xlink:href="009/01/024.jpg" pagenum="24" /> | <pb pagenum="24" xlink:href="009/01/024.jpg"/> |
| <p type="head"> | <p type="head"> |
| <s id="id.000647"><emph type="italics"/>In decimo.<emph.end type="italics"/></s> | <s id="s.000645"><emph type="italics"/>In decimo.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000648">Ad primam definitionem 10. vide cap. 23. &longs;ecti 1. primi Priorum. </s> | <s id="s.000646">Ad primam definitionem 10. vide cap. 23. &longs;ecti 1. primi Priorum. </s> |
| <s id="id.000649">& tex. <!-- REMOVE S-->48. <lb/> | <s id="s.000647">& tex. <!-- REMOVE S-->48. <lb/> |
| primi de Cœlo.<!-- KEEP S--></s> | primi de Cœlo.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000650">Ad 118. decimi, vide cap. 23. &longs;ecti 1. libri 1. Priorum. </s> | <s id="s.000648">Ad 118. decimi, vide cap. 23. &longs;ecti 1. libri 1. Priorum. </s> |
| <s id="id.000651">& &longs;ecto 2. cap. 23. li­<lb/> | <s id="s.000649">& &longs;ecto 2. cap. 23. li­<lb/> |
| bri 1. Priorum. </s> | bri 1. Priorum. </s> |
| <s id="id.000652">& cap. 22. lib. 2. Priorum. </s> | <s id="s.000650">& cap. 22. lib. 2. Priorum. </s> |
| <s id="id.000653">& tex. <!-- REMOVE S-->5. primi Po&longs;ter. & tex. <!-- REMOVE S-->44. <lb/> | <s id="s.000651">& tex. <!-- REMOVE S-->5. primi Po&longs;ter. & tex. <!-- REMOVE S-->44. <lb/> |
| primi Po&longs;ter. <!-- REMOVE S-->& cap. 15. primi Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->119. primi de Cœlo. <!-- KEEP S--></s> | primi Po&longs;ter. <!-- REMOVE S-->& cap. 15. primi Po&longs;ter. <!-- REMOVE S-->& tex. <!-- REMOVE S-->119. primi de Cœlo. <!-- KEEP S--></s> |
| <s id="id.000654">& tex. <lb/> | <s id="s.000652">& tex. <lb/> |
| <!-- REMOVE S-->120. quarti Phy&longs;. & tex. <!-- REMOVE S-->21. tertij de Anima. <!-- REMOVE S-->& cap. 1. primi Methaphy&longs;. <lb/> | <!-- REMOVE S-->120. quarti Phy&longs;. & tex. <!-- REMOVE S-->21. tertij de Anima. <!-- REMOVE S-->& cap. 1. primi Methaphy&longs;. <lb/> |
| <!-- REMOVE S-->& tex. <!-- REMOVE S-->28. quarti Met. <!-- REMOVE S-->& tex. <!-- REMOVE S-->34. quinti Met. <!-- REMOVE S-->& tex. <!-- REMOVE S-->8. &longs;exti Met. <!-- REMOVE S-->& cap. 4. <lb/> | <!-- REMOVE S-->& tex. <!-- REMOVE S-->28. quarti Met. <!-- REMOVE S-->& tex. <!-- REMOVE S-->34. quinti Met. <!-- REMOVE S-->& tex. <!-- REMOVE S-->8. &longs;exti Met. <!-- REMOVE S-->& cap. 4. <lb/> |
| lib. 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> | lib. 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> |
| <s id="id.000655">& lib. 3. cap. 3. Ethyc. <!-- REMOVE S-->& cap. 10. &longs;ecundi Eu­<lb/> | <s id="s.000653">& lib. 3. cap. 3. Ethyc. <!-- REMOVE S-->& cap. 10. &longs;ecundi Eu­<lb/> |
| dem. <!-- KEEP S--></s> | dem. <!-- KEEP S--></s> |
| <s id="id.000656">tot Ari&longs;t. loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s> | <s id="s.000654">tot Ari&longs;t. loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000657"><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s> | <s id="s.000655"><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000658">Ad primam propo&longs;. </s> | <s id="s.000656">Ad primam propo&longs;. </s> |
| <s id="id.000659">13. &longs;ecundum editionem Commandini, aut Zamberti. <lb/> | <s id="s.000657">13. &longs;ecundum editionem Commandini, aut Zamberti. <lb/> |
| <!-- KEEP S--></s> | <!-- KEEP S--></s> |
| <s id="id.000660">vide initio Priorum, in verbum (Re&longs;olutio)</s> | <s id="s.000658">vide initio Priorum, in verbum (Re&longs;olutio)</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000661">Atqne hæc &longs;unt, quæ ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit, <lb/> | <s id="s.000659">Atque hæc &longs;unt, quæ ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit, <lb/> |
| quæque nos infra explicabimus.</s> | quæque nos infra explicabimus.</s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000662"><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s> | <s id="s.000660"><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000663">Quæ verò ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe­<lb/> | <s id="s.000661">Quæ verò ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe­<lb/> |
| ctiuam, Mechanicam, & A&longs;tronomiam pertinens, facilè <lb/> | ctiuam, Mechanicam, & A&longs;tronomiam pertinens, facilè <lb/> |
| poterunt ex primo Indice ad vnamquamque earum &longs;eor­<lb/> | poterunt ex primo Indice ad vnamquamque earum &longs;eor­<lb/> |
| &longs;um cum libuerit, &longs;ecerni.</s> | &longs;um cum libuerit, &longs;ecerni.</s> |
| </p> | </p> |
| </section> | </section> |
| <pb xlink:href="009/01/025.jpg" pagenum="25" /> | <pb pagenum="25" xlink:href="009/01/025.jpg"/> |
| <section> | <section> |
| <p type="head"> | <p type="head"> |
| <s id="id.000664"><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s> | <s id="s.000662"><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="head"> | <p type="head"> |
| <s id="id.000665"><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/><lb/> | <s id="s.000663"><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/><lb/> |
| <arrow.to.target n="table2"/></s> | <arrow.to.target n="table2"/></s> |
| </p> | </p> |
| <table> | <table> |
| |
| <cell>248</cell> | <cell>248</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Antipbonæ voces.<emph.end type="italics"/> 358. 363. 370. 371.</cell> | <cell><emph type="italics"/>Antiphonæ voces.<emph.end type="italics"/> 358. 363. 370. 371.</cell> |
| <cell>373</cell> | <cell>373</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell><emph type="italics"/>Conus, & cylindrus, cur variè mouentur.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Conus, & cylindrus, cur variè mouentur.<emph.end type="italics"/></cell> |
| <cell>355</cell> | <cell>355</cell> |
| </row> | </row> |
| <pb xlink:href="009/01/026.jpg" pagenum="26" /> | <pb pagenum="26" xlink:href="009/01/026.jpg"/> |
| <row> | <row> |
| <cell><emph type="italics"/>Cubus numerus. duo cubi cubus, quid &longs;ignificet.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Cubus numerus. duo cubi cubus, quid &longs;ignificet.<emph.end type="italics"/></cell> |
| <cell>33</cell> | <cell>33</cell> |
| |
| <cell>337</cell> | <cell>337</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Diapa&longs;on quid. 90. 350. omnium con&longs;onantiarum pulcberrima.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Diapa&longs;on quid. 90. 350. omnium con&longs;onantiarum pulcherrima.<emph.end type="italics"/></cell> |
| <cell>388</cell> | <cell>388</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell/> | <cell/> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Figuram omnem planam habere &longs;uos angulos externos <expan abbr="quotcŭq;">quotcŭque</expan> æquales quatuor rectis angulis, quæ e&longs;t mira proprietas.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Figuram omnem planam habere &longs;uos angulos externos <expan abbr="quotcŭmq;">quotcŭmque</expan> æquales quatuor rectis angulis, quæ e&longs;t mira proprietas.<emph.end type="italics"/></cell> |
| <cell>59</cell> | <cell>59</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell>96</cell> | <cell>96</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Figurarum &longs;olidarum, quænam totum locum repleant: vbi Ari&longs;t. & omnium expo&longs;i-torum rratum aperitur.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Figurarum &longs;olidarum, quænam totum locum repleant: vbi Ari&longs;t. & omnium expo&longs;i-torum ratum aperitur.<emph.end type="italics"/></cell> |
| <cell>121</cell> | <cell>121</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell>345</cell> | <cell>345</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Figurationes pro demonftrationibus Mathem.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Figurationes pro demon&longs;trationibus Mathem.<emph.end type="italics"/></cell> |
| <cell>194</cell> | <cell>194</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell><emph type="italics"/>Geographiæ veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell> | <cell><emph type="italics"/>Geographiæ veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell> |
| <cell>149</cell> | <cell>149</cell> |
| </row> | </row> |
| <pb xlink:href="009/01/027.jpg" pagenum="27" /> | <pb pagenum="27" xlink:href="009/01/027.jpg"/> |
| <row> | <row> |
| <cell><emph type="italics"/>Gnomon, quid. 3. &<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Gnomon, quid. 3. &<emph.end type="italics"/></cell> |
| <cell>331</cell> | <cell>331</cell> |
| |
| <cell/> | <cell/> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Halonis demonfiratio.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Halonis demon&longs;tratio.<emph.end type="italics"/></cell> |
| <cell>161</cell> | <cell>161</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell><emph type="italics"/>Mathematicæ o&longs;tendunt per cau&longs;am materialem, & formalem. 205. earum vtilitas. ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Mathematicæ o&longs;tendunt per cau&longs;am materialem, & formalem. 205. earum vtilitas. ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell> |
| <cell/> | <cell/> |
| </row> | </row> |
| <pb xlink:href="009/01/028.jpg" pagenum="28" /> | <pb pagenum="28" xlink:href="009/01/028.jpg"/> |
| <row> | <row> |
| <cell><emph type="italics"/>Mathematicæ maximè tractant de Bono, & Pulcro, qua ratione.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Mathematicæ maximè tractant de Bono, & Pulcro, qua ratione.<emph.end type="italics"/></cell> |
| <cell>237</cell> | <cell>237</cell> |
| |
| <cell><emph type="italics"/>Principia Mathematicorum.<emph.end type="italics"/> 2.</cell> | <cell><emph type="italics"/>Principia Mathematicorum.<emph.end type="italics"/> 2.</cell> |
| <cell>118</cell> | <cell>118</cell> |
| </row> | </row> |
| <pb xlink:href="009/01/029.jpg" pagenum="29" /> | <pb pagenum="29" xlink:href="009/01/029.jpg"/> |
| <row> | <row> |
| <cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, & circa quod.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, & circa quod.<emph.end type="italics"/></cell> |
| <cell>61</cell> | <cell>61</cell> |
| |
| <cell/> | <cell/> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Pythagorici primi Mathematicis <expan abbr="operã">operam</expan> dedere, easqué ceteris &longs;cientijs præponebăt.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Pythagorici primi Mathematicis <expan abbr="operã">operam</expan> dedere, easqué ceteris &longs;cientijs præponebat.<emph.end type="italics"/></cell> |
| <cell>202</cell> | <cell>202</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell>185</cell> | <cell>185</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Quantitas an conctet ex indiui&longs;ibili. toto libello de lineis in&longs;ecabilibus argumentis mathematicis.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Quantitas an con&longs;tet ex indiui&longs;ibili. toto libello de lineis in&longs;ecabilibus argumentis mathematicis.<emph.end type="italics"/></cell> |
| <cell/> | <cell/> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell>252</cell> | <cell>252</cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>Securis problema, vbi de antiquæ &longs;euris figura, & angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Securis problema, vbi de antiquæ &longs;ecuris figura, & angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell> |
| <cell>258</cell> | <cell>258</cell> |
| </row> | </row> |
| <row> | <row> |
| |
| <cell><emph type="italics"/>Tetragoni&longs;mus. vide Quadratura.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Tetragoni&longs;mus. vide Quadratura.<emph.end type="italics"/></cell> |
| <cell/> | <cell/> |
| </row> | </row> |
| <pb xlink:href="009/01/030.jpg" pagenum="30" /> | <pb pagenum="30" xlink:href="009/01/030.jpg"/> |
| <row> | <row> |
| <cell><emph type="italics"/>Teretizare, quid.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Teretizare, quid.<emph.end type="italics"/></cell> |
| <cell>366</cell> | <cell>366</cell> |
| |
| </row> | </row> |
| </table> | </table> |
| <p type="head"> | <p type="head"> |
| <s id="id.000666">Finis Tertij Indicis.</s> | <s id="s.000664">Finis Tertij Indicis.</s> |
| </p> | </p> |
| <pb xlink:href="009/01/031.jpg" pagenum="31" /> | <pb pagenum="31" xlink:href="009/01/031.jpg"/> |
| </section> | </section> |
| <section> | <section> |
| <p type="main"> | <p type="main"> |
| <s id="id.000667">Vi&longs;um e&longs;t etiam opportunum Lectori fore, ea &longs;imul in vnum <lb/> | <s id="s.000665">Vi&longs;um e&longs;t etiam opportunum Lectori fore, ea &longs;imul in vnum <lb/> |
| loca colligere, in quibus Ari&longs;toteles mihi vi&longs;us e&longs;t in Ma­<lb/> | loca colligere, in quibus Ari&longs;toteles mihi vi&longs;us e&longs;t in Ma­<lb/> |
| thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&etail;&longs;ertim Peripa­<lb/> | thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&etail;&longs;ertim Peripa­<lb/> |
| tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre <lb/> | tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre <lb/> |
| |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>136<emph.end type="italics"/></cell> | <cell><emph type="italics"/>136<emph.end type="italics"/></cell> |
| <cell><emph type="italics"/>Cometas in &longs;uprema aeris regione collocat; cuius contrarium ibi line ari demonctratione ostenditur.<emph.end type="italics"/></cell> | <cell><emph type="italics"/>Cometas in &longs;uprema aeris regione collocat; cuius contrarium ibi line ari demon&longs;tratione ostenditur.<emph.end type="italics"/></cell> |
| </row> | </row> |
| <row> | <row> |
| <cell><emph type="italics"/>147<emph.end type="italics"/></cell> | <cell><emph type="italics"/>147<emph.end type="italics"/></cell> |
| |
| </front> | </front> |
| <body> | <body> |
| <chap> | <chap> |
| <pb xlink:href="009/01/033.jpg" pagenum="33" /> | <pb pagenum="33" xlink:href="009/01/033.jpg"/> |
| <p type="head"> | <p type="head"> |
| <s id="id.000668">LOCA <lb/>MATHEMATICA <lb/>EX LIBRO <lb/> | <s id="s.000666">LOCA <lb/>MATHEMATICA <lb/>EX LIBRO <lb/>PRÆDICAMENTORVM <lb/> |
| PRÆDICAMENTORVM<lb/> | |
| Per ordinem declarata.</s> | Per ordinem declarata.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000669"><arrow.to.target n="marg1"/></s> | <s id="s.000667"><arrow.to.target n="marg1"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000670"><margin.target id="marg1"/>1</s> | <s id="s.000668"><margin.target id="marg1"/>1</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000671">Ex c. <!-- REMOVE S-->3. De his, quæ ad aliquid. </s> | <s id="s.000669">Ex c. <!-- REMOVE S-->3. De his, quæ ad aliquid. </s> |
| <s id="id.000672">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita <lb/> | <s id="s.000670">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita <lb/> |
| <expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g. <lb/> | <expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g. <lb/> |
| <!-- REMOVE S-->angulus B A C, vbi ait <emph type="italics"/>(Scientia verò &longs;i non &longs;it, <lb/> | <!-- REMOVE S-->angulus B A C, vbi ait <emph type="italics"/>(Scientia verò &longs;i non &longs;it, <lb/> |
| nihil probibet e&longs;&longs;e &longs;cibile, vt circuli quadratura, &longs;i e&longs;t &longs;cibilis, <lb/> | nihil probibet e&longs;&longs;e &longs;cibile, vt circuli quadratura, &longs;i e&longs;t &longs;cibilis, <lb/> |
| |
| quæ tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu­<lb/> | quæ tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu­<lb/> |
| ra circuli, & &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi­<lb/> | ra circuli, & &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi­<lb/> |
| lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s> | lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s> |
| <s id="id.000673">Quæ vt perfectè <lb/> | <s id="s.000671">Quæ vt perfectè <lb/> |
| intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, quæ à Græcis tetrago­<lb/> | intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, quæ à Græcis tetrago­<lb/> |
| ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, quàm propo&longs;ito cuilibet circulo exhibere <lb/> | ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, quàm propo&longs;ito cuilibet circulo exhibere <lb/> |
| quadratum æquale. </s> | quadratum æquale. </s> |
| <s id="id.000674">Quæ æqualitas debet intelligi de areis, &longs;eu &longs;patijs, ita <lb/> | <s id="s.000672">Quæ æqualitas debet intelligi de areis, &longs;eu &longs;patijs, ita <lb/> |
| vt area circuli, &longs;eu &longs;patium illud, &longs;iue &longs;uperficies illa circularis, &longs;it æqualis <lb/> | vt area circuli, &longs;eu &longs;patium illud, &longs;iue &longs;uperficies illa circularis, &longs;it æqualis <lb/> |
| areæ, &longs;eu &longs;uperficiei quadratæ. </s> | areæ, &longs;eu &longs;uperficiei quadratæ. </s> |
| <s id="id.000675">Qua in re plurimi decipiuntur exi&longs;timantes <lb/> | <s id="s.000673">Qua in re plurimi decipiuntur exi&longs;timantes <lb/> |
| per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen­<lb/> | per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen­<lb/> |
| tia circuli debeat e&longs;&longs;e æqualis ambitui, &longs;eu quatuor lateribus quadrati: <lb/> | tia circuli debeat e&longs;&longs;e æqualis ambitui, &longs;eu quatuor lateribus quadrati: <lb/> |
| quod omnino fal&longs;um e&longs;t.</s> | quod omnino fal&longs;um e&longs;t.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000676">Quadratio porrò circuli dupliciter proponi pote&longs;t, vel tanquam Theo­<lb/> | <s id="s.000674">Quadratio porrò circuli dupliciter proponi pote&longs;t, vel tanquam Theo­<lb/> |
| rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa­<lb/> | rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa­<lb/> |
| ciendum proponitur; problema verò aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem­<lb/> | ciendum proponitur; problema verò aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem­<lb/> |
| pore Ari&longs;t. erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen­<lb/> | pore Ari&longs;t. erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen­<lb/> |
| tis circiter annis ab Archimede: problema verò nondum à quoquam per­<lb/> | tis circiter annis ab Archimede: problema verò nondum à quoquam per­<lb/> |
| fectè potuit reperiri. </s> | fectè potuit reperiri. </s> |
| <s id="id.000677">qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius <lb/> | <s id="s.000675">qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius <lb/> |
| hoc loco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadraturæ huius, &longs;i nimi­<lb/> | hoc loco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadraturæ huius, &longs;i nimi­<lb/> |
| rum intelligant theorema. </s> | rum intelligant theorema. </s> |
| <s id="id.000678">& alij etiam verum a&longs;&longs;erunt, dum negant hacte­<lb/> | <s id="s.000676">& alij etiam verum a&longs;&longs;erunt, dum negant hacte­<lb/> |
| nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi­ | nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi­ |
| | |
| | |
| <pb xlink:href="009/01/034.jpg" pagenum="34" />medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au­<lb/> | <pb pagenum="34" xlink:href="009/01/034.jpg"/>medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au­<lb/> |
| tem huiu&longs;modi. </s> | tem huiu&longs;modi. </s> |
| <s id="id.000679">Quilibet circulus æqualis e&longs;t triangulo rectangulo, cuius <lb/> | <s id="s.000677">Quilibet circulus æqualis e&longs;t triangulo rectangulo, cuius <lb/> |
| quidem &longs;emidiameter vni laterum, quæ circa rectum angulum &longs;unt, ambi­<lb/> | quidem &longs;emidiameter vni laterum, quæ circa rectum angulum &longs;unt, ambi­<lb/> |
| tus verò ba&longs;i eius e&longs;t æqualis.</s> | tus verò ba&longs;i eius e&longs;t æqualis.</s> |
| </p> | </p> |
| <figure id="id.009.01.034.1.jpg" xlink:href="009/01/034/1.jpg" place="text"/> | <figure id="id.009.01.034.1.jpg" place="text" xlink:href="009/01/034/1.jpg"/> |
| <p type="main"> | <p type="main"> |
| <s id="id.000680">Sit, v.g. <!-- REMOVE S-->datus circulus, cuius &longs;emidiameter A B; & fit triangulum rectangu­<lb/> | <s id="s.000678">Sit, v.g. <!-- REMOVE S-->datus circulus, cuius &longs;emidiameter A B; & fit triangulum rectangu­<lb/> |
| lum A B C, cuius angulus B, &longs;it rectus, & latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re­<lb/> | lum A B C, cuius angulus B, &longs;it rectus, & latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re­<lb/> |
| ctum B, cum ba&longs;i B C, &longs;it æquale &longs;emidiametro A B; ba&longs;is verò B C, &longs;it æqua­<lb/> | ctum B, cum ba&longs;i B C, &longs;it æquale &longs;emidiametro A B; ba&longs;is verò B C, &longs;it æqua­<lb/> |
| lis peripheriæ eiu&longs;dem circuli dati. </s> | lis peripheriæ eiu&longs;dem circuli dati. </s> |
| <s id="id.000681">demon&longs;trat iam ibi Archimedes acuta <lb/> | <s id="s.000679">demon&longs;trat iam ibi Archimedes acuta <lb/> |
| æquè, ac euidenti demon&longs;tratione triangulum i&longs;tud æquale e&longs;&longs;e circulo illi. <lb/> | æquè, ac euidenti demon&longs;tratione triangulum i&longs;tud æquale e&longs;&longs;e circulo illi. <lb/> |
| </s> | </s> |
| <s id="id.000682">quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it æqualis, cum per vl­<lb/> | <s id="s.000680">quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it æqualis, cum per vl­<lb/> |
| timam 2. Eucl. <!-- REMOVE S-->po&longs;&longs;imus triangulo huic quadratum æquale con&longs;truere, quod <lb/> | timam 2. Eucl. <!-- REMOVE S-->po&longs;&longs;imus triangulo huic quadratum æquale con&longs;truere, quod <lb/> |
| con&longs;equenter dato circulo æquale erit. </s> | con&longs;equenter dato circulo æquale erit. </s> |
| <s id="id.000683">Quod &longs;i in modum Problematis ita <lb/> | <s id="s.000681">Quod &longs;i in modum Problematis ita <lb/> |
| proponatur: Dato circulo æquale quadratum con&longs;truere, nondum inuenta <lb/> | proponatur: Dato circulo æquale quadratum con&longs;truere, nondum inuenta <lb/> |
| e&longs;t ratio, quæ demon&longs;tratione confirmetur, qua id geometricè penitus, hoc <lb/> | e&longs;t ratio, quæ demon&longs;tratione confirmetur, qua id geometricè penitus, hoc <lb/> |
| e&longs;t ad æqualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif­<lb/> | e&longs;t ad æqualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif­<lb/> |
| ficultas po&longs;ita e&longs;&longs;e videtur in inue&longs;tigando, quonam modo exhibeamus li­<lb/> | ficultas po&longs;ita e&longs;&longs;e videtur in inue&longs;tigando, quonam modo exhibeamus li­<lb/> |
| neam rectam B C, æqualem peripheriæ circuli dati. </s> | neam rectam B C, æqualem peripheriæ circuli dati. </s> |
| <s id="id.000684">quam nullus hactenus <lb/> | <s id="s.000682">quam nullus hactenus <lb/> |
| geometricè illi æqualem potuit exhibere, <expan abbr="atq;">atque</expan> exhibita <expan abbr="euid&etilde;ti">euidenti</expan> demon&longs;tra­<lb/> | geometricè illi æqualem potuit exhibere, <expan abbr="atq;">atque</expan> exhibita <expan abbr="euid&etilde;ti">euidenti</expan> demon&longs;tra­<lb/> |
| tione comprobare; Quamuis Archimedes acumine &longs;anè mirabili in lib. de <lb/> | tione comprobare; Quamuis Archimedes acumine &longs;anè mirabili in lib. de <lb/> |
| lineis &longs;piralibus, eam <expan abbr="quoq;">quoque</expan> theorematicè, non tamen problematicè inue­<lb/> | lineis &longs;piralibus, eam <expan abbr="quoq;">quoque</expan> theorematicè, non tamen problematicè inue­<lb/> |
| &longs;tigauit. </s> | &longs;tigauit. </s> |
| <s id="id.000685">nam propo&longs;itione 18. illius <expan abbr="admirãdi">admirandi</expan> operis inuenit lineam rectam <lb/> | <s id="s.000683">nam propo&longs;itione 18. illius <expan abbr="admirãdi">admirandi</expan> operis inuenit lineam rectam <lb/> |
| æqualem circumferentiæ primi circuli &longs;piralis lineæ; propo&longs; verò 19. repe­<lb/> | æqualem circumferentiæ primi circuli &longs;piralis lineæ; propo&longs; verò 19. repe­<lb/> |
| rit aliam rectam æqualem circumferentiæ &longs;ecundi circuli. </s> | rit aliam rectam æqualem circumferentiæ &longs;ecundi circuli. </s> |
| <s id="id.000686">tu ip&longs;um con&longs;ule, <lb/> | <s id="s.000684">tu ip&longs;um con&longs;ule, <lb/> |
| &longs;i admirandarum rerum contemplatione delectaris. </s> | &longs;i admirandarum rerum contemplatione delectaris. </s> |
| <s id="id.000687">Multa hac de re Pap­<lb/> | <s id="s.000685">Multa hac de re Pap­<lb/> |
| pus Alexandrinus lib. 4. Math. coll. </s> | pus Alexandrinus lib. 4. Math. coll. </s> |
| <s id="id.000688">& Ioannes Buteo vnico volumine om­<lb/> | <s id="s.000686">& Ioannes Buteo vnico volumine om­<lb/> |
| nes quadraturas tain pri&longs;corum, quam recentiorum <expan abbr="cõprehen&longs;us">comprehen&longs;us</expan> e&longs;t. </s> | nes quadraturas tain pri&longs;corum, quam recentiorum <expan abbr="cõprehen&longs;us">comprehen&longs;us</expan> e&longs;t. </s> |
| <s id="id.000689">Qua­<lb/> | <s id="s.000687">Qua­<lb/> |
| re qui plura cupit, eos adeat; nos tamen infra &longs;uis locis explicabimus tres <lb/> | re qui plura cupit, eos adeat; nos tamen infra &longs;uis locis explicabimus tres <lb/> |
| illas celebres antiquorum Antiphontis, Bri&longs;&longs;onis, & Hippocratis quadra­<lb/> | illas celebres antiquorum Antiphontis, Bri&longs;&longs;onis, & Hippocratis quadra­<lb/> |
| turas, quamuis fal&longs;as, <expan abbr="quarũ">quarum</expan> &longs;æpe meminit Ari&longs;t. & alij. </s> | turas, quamuis fal&longs;as, <expan abbr="quarũ">quarum</expan> &longs;æpe meminit Ari&longs;t. & alij. </s> |
| <s id="id.000690">&longs;olet autem à non­<lb/> | <s id="s.000688">&longs;olet autem à non­<lb/> |
| nullis di&longs;putari, vtrum quadratura i&longs;ta problematica &longs;it po&longs;&longs;ibilis, nec ne, <lb/> | nullis di&longs;putari, vtrum quadratura i&longs;ta problematica &longs;it po&longs;&longs;ibilis, nec ne, <lb/> |
| cum videant eam à nemine, quamuis diu magno labore perqui&longs;itam, hacte­<lb/> | cum videant eam à nemine, quamuis diu magno labore perqui&longs;itam, hacte­<lb/> |
| nus adinuentam e&longs;&longs;e. </s> | nus adinuentam e&longs;&longs;e. </s> |
| <s id="id.000691">ego quidem e&longs;&longs;e po&longs;&longs;ibilem exi&longs;timo, quis enim dubi­<lb/> | <s id="s.000689">ego quidem e&longs;&longs;e po&longs;&longs;ibilem exi&longs;timo, quis enim dubi­<lb/> |
| tare pote&longs;t, po&longs;&longs;e exi&longs;tere quadratum æquale circulo propo&longs;ito? </s> | tare pote&longs;t, po&longs;&longs;e exi&longs;tere quadratum æquale circulo propo&longs;ito? </s> |
| <s id="id.000692">Quod &longs;i po­<lb/> | <s id="s.000690">Quod &longs;i po­<lb/> |
| te&longs;t fieri, quare non etiam demon&longs;trari? </s> | te&longs;t fieri, quare non etiam demon&longs;trari? </s> |
| <s id="id.000693">pr&etail;fertim cum videamus ab Archi­<lb/> | <s id="s.000691">pr&etail;fertim cum videamus ab Archi­<lb/> |
| mede iam inuentam e&longs;&longs;e, quatenus Theorema e&longs;t. </s> | mede iam inuentam e&longs;&longs;e, quatenus Theorema e&longs;t. </s> |
| <s id="id.000694">& præterea con&longs;tet, Hip­<lb/> | <s id="s.000692">& præterea con&longs;tet, Hip­<lb/> |
| pocratem quadra&longs;&longs;e lunulam, vt &longs;uo loco dicemus, & Archimedem in libel­ | pocratem quadra&longs;&longs;e lunulam, vt &longs;uo loco dicemus, & Archimedem in libel­ |
| | |
| | |
| <pb xlink:href="009/01/035.jpg" pagenum="35" />lo de quadratura Paraboles, quadra&longs;&longs;e ip&longs;am Parabolem, quæ tamen duæ fi­<lb/> | <pb pagenum="35" xlink:href="009/01/035.jpg"/>lo de quadratura Paraboles, quadra&longs;&longs;e ip&longs;am Parabolem, quæ tamen duæ fi­<lb/> |
| guræ, lunula &longs;cilicet, & parabola &longs;unt curuilineæ.</s> | guræ, lunula &longs;cilicet, & parabola &longs;unt curuilineæ.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000695"><arrow.to.target n="marg2"/></s> | <s id="s.000693"><arrow.to.target n="marg2"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000696"><margin.target id="marg2"/>2</s> | <s id="s.000694"><margin.target id="marg2"/>2</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000697">Ex cap. de Priori <emph type="italics"/>(in &longs;cientijs demon&longs;tratiuis e&longs;t prius, & po&longs;terius ordine, <lb/> | <s id="s.000695">Ex cap. de Priori <emph type="italics"/>(in &longs;cientijs demon&longs;tratiuis e&longs;t prius, & po&longs;terius ordine, <lb/> |
| elementa enim priora &longs;unt ijs, quæ de&longs;cribuntur, nam principia prior a &longs;unt theore­<lb/> | elementa enim priora &longs;unt ijs, quæ de&longs;cribuntur, nam principia prior a &longs;unt theore­<lb/> |
| matibus ordine)<emph.end type="italics"/> verba illa, nam principia, &c. </s> | matibus ordine)<emph.end type="italics"/> verba illa, nam principia, &c. </s> |
| <s id="id.000698">quæ non &longs;unt in antiqua tran­<lb/> | <s id="s.000696">quæ non &longs;unt in antiqua tran­<lb/> |
| &longs;latione de&longs;ump&longs;imus ex ca&longs;tigati&longs;&longs;imo græco codice editionis Francfor­<lb/> | &longs;latione de&longs;ump&longs;imus ex ca&longs;tigati&longs;&longs;imo græco codice editionis Francfor­<lb/> |
| dien&longs;is, propterea quod totum hunc locum declarant; &longs;unt autem i&longs;ta, <lb/> | dien&longs;is, propterea quod totum hunc locum declarant; &longs;unt autem i&longs;ta, <lb/> |
| <foreign lang="greek">ai/gar arxai/ pro/terai tw_n qewrhma/twn th ta/xei.</foreign> per &longs;cientias autem demon&longs;tra­<lb/> | <foreign lang="greek">ai/ gar arxai/ pro/terai tw=n qewrhma/twn th| ta/ch. </foreign> per &longs;cientias autem demon&longs;tra­<lb/> |
| tiuas intelligendas e&longs;&longs;e hoc loco ip&longs;as Mathematicas ex eo patet, quod illis <lb/> | tiuas intelligendas e&longs;&longs;e hoc loco ip&longs;as Mathematicas ex eo patet, quod illis <lb/> |
| a&longs;&longs;ignet Ari&longs;t. De&longs;criptiones; nam hoc verbo, De&longs;criptiones, &longs;eu figuratio­<lb/> | a&longs;&longs;ignet Ari&longs;t. De&longs;criptiones; nam hoc verbo, De&longs;criptiones, &longs;eu figuratio­<lb/> |
| nes, &longs;olet ip&longs;e Mathematicas Demon&longs;trationes innuere, quod in ip&longs;is figu­<lb/> | nes, &longs;olet ip&longs;e Mathematicas Demon&longs;trationes innuere, quod in ip&longs;is figu­<lb/> |
| |
| ba illa à nobis addita ex græco, optimè <expan abbr="præced&etilde;tia">præcedentia</expan> exponunt, cum per ele­<lb/> | ba illa à nobis addita ex græco, optimè <expan abbr="præced&etilde;tia">præcedentia</expan> exponunt, cum per ele­<lb/> |
| menta intelligantur principia, qualia &longs;unt initio Euclidis, & per de&longs;criptio­<lb/> | menta intelligantur principia, qualia &longs;unt initio Euclidis, & per de&longs;criptio­<lb/> |
| nes exponant theoremata. </s> | nes exponant theoremata. </s> |
| <s id="id.000699">quod autem principia illa ordine priora &longs;int de­<lb/> | <s id="s.000697">quod autem principia illa ordine priora &longs;int de­<lb/> |
| mon&longs;trationibus, &longs;iue ip&longs;as præcedant, ex ip&longs;a primi Euclidis in&longs;pectione <lb/> | mon&longs;trationibus, &longs;iue ip&longs;as præcedant, ex ip&longs;a primi Euclidis in&longs;pectione <lb/> |
| patere pote&longs;t.</s> | patere pote&longs;t.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000700"><arrow.to.target n="marg3"/></s> | <s id="s.000698"><arrow.to.target n="marg3"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000701"><margin.target id="marg3"/>3</s> | <s id="s.000699"><margin.target id="marg3"/>3</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000702">Ex cap. de motu <emph type="italics"/>(Quadratum augetur Gnomone circumpo&longs;ito)<emph.end type="italics"/> Gnomon vox <lb/> | <s id="s.000700">Ex cap. de motu <emph type="italics"/>(Quadratum augetur Gnomone circumpo&longs;ito)<emph.end type="italics"/> Gnomon vox <lb/> |
| græca inter alia &longs;ignificat in&longs;trumentum illud, quod Latini tum amu&longs;&longs;im, <lb/> | græca inter alia &longs;ignificat in&longs;trumentum illud, quod Latini tum amu&longs;&longs;im, <lb/> |
| <figure id="id.009.01.035.1.jpg" xlink:href="009/01/035/1.jpg" place="text"/><lb/> | <figure id="id.009.01.035.1.jpg" place="text" xlink:href="009/01/035/1.jpg"/><lb/> |
| tum normam appellant, Itali verò, Squadra, ad <lb/> | tum normam appellant, Itali verò, Squadra, ad <lb/> |
| cuius &longs;imilitudinem Geometræ denominarunt fi­<lb/> | cuius &longs;imilitudinem Geometræ denominarunt fi­<lb/> |
| guram quandam, &longs;eu portionem cuiu&longs;uis paralle­<lb/> | guram quandam, &longs;eu portionem cuiu&longs;uis paralle­<lb/> |
| logrammi, vt videre e&longs;t in definitione &longs;ecunda <lb/> | logrammi, vt videre e&longs;t in definitione &longs;ecunda <lb/> |
| 2. elem. </s> | 2. elem. </s> |
| <s id="id.000703">& in præ&longs;enti figura, in qua quadratum <lb/> | <s id="s.000701">& in præ&longs;enti figura, in qua quadratum <lb/> |
| A B C D, circumpo&longs;ito gnomone E F G, augetur, <lb/> | A B C D, circumpo&longs;ito gnomone E F G, augetur, <lb/> |
| & fit maius quadratum H B I L.<!-- KEEP S--></s> | & fit maius quadratum H B I L.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000704">Idem etiam verum e&longs;t in quadrato arithmeti­<lb/> | <s id="s.000702">Idem etiam verum e&longs;t in quadrato arithmeti­<lb/> |
| co, &longs;iue in numero quadrato: is enim pariter ad­<lb/> | co, &longs;iue in numero quadrato: is enim pariter ad­<lb/> |
| dito Gnomone augetur. </s> | dito Gnomone augetur. </s> |
| <s id="id.000705">i. </s> | <s id="s.000703">i. </s> |
| <s id="id.000706">addito numero impari. <lb/> | <s id="s.000704">addito numero impari. <lb/> |
| </s> | </s> |
| <s id="id.000707">quemadmodum infra 3. Phy&longs;. tex. <!-- REMOVE S-->26. fusè explicabimus.</s> | <s id="s.000705">quemadmodum infra 3. Phy&longs;. tex. <!-- REMOVE S-->26. fusè explicabimus.</s> |
| </p> | |
| <p type="head"> | |
| <s id="id.000708"><emph type="italics"/>Ex Primo Priorum re&longs;olutoriorum.<emph.end type="italics"/></s> | |
| </p> | </p> |
| </chap> | </chap> |
| <chap> | <chap> |
| | <p type="head"> |
| | <s id="s.000706"><emph type="italics"/>Ex Primo Priorum re&longs;olutoriorum.<emph.end type="italics"/></s> |
| | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000709"><arrow.to.target n="marg4"/></s> | <s id="s.000707"><arrow.to.target n="marg4"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000710"><margin.target id="marg4"/>4</s> | <s id="s.000708"><margin.target id="marg4"/>4</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000711">Aliquorum opinio e&longs;t, Ari&longs;totelem ho&longs;ce libros appella&longs;&longs;e re&longs;olu­<lb/> | <s id="s.000709">Aliquorum opinio e&longs;t, Ari&longs;totelem ho&longs;ce libros appella&longs;&longs;e re&longs;olu­<lb/> |
| torios, quod per illos doceat &longs;yllogi&longs;mum, ac demon&longs;trationem <lb/> | torios, quod per illos doceat &longs;yllogi&longs;mum, ac demon&longs;trationem <lb/> |
| iam factam in &longs;ua immediata principia re&longs;oluere, quam opinio­<lb/> | iam factam in &longs;ua immediata principia re&longs;oluere, quam opinio­<lb/> |
| nem meum non e&longs;t, nunc refellere. </s> | nem meum non e&longs;t, nunc refellere. </s> |
| <s id="id.000712">per&longs;ua&longs;um tamen mihi e&longs;t, rem <lb/> | <s id="s.000710">per&longs;ua&longs;um tamen mihi e&longs;t, rem <lb/> |
| multo aliter &longs;e habere, veram rationem huius tituli petendam e&longs;&longs;e ex peni­<lb/> | multo aliter &longs;e habere, veram rationem huius tituli petendam e&longs;&longs;e ex peni­<lb/> |
| tiori Mathematicorum eruditione. </s> | tiori Mathematicorum eruditione. </s> |
| <s id="id.000713">Sciendum <expan abbr="itaq;">itaque</expan> id, quod tradit Pappus <lb/> | <s id="s.000711">Sciendum <expan abbr="itaq;">itaque</expan> id, quod tradit Pappus <lb/> |
| Alex. initio &longs;eptimi Mathem. collect. </s> | Alex. initio &longs;eptimi Mathem. collect. </s> |
| <s id="id.000714">antiqui&longs;&longs;imos videlicet Geometras, <lb/> | <s id="s.000712">antiqui&longs;&longs;imos videlicet Geometras, <lb/> |
| Euclidem, Apollonium Pergæum, & Ari&longs;t&etail;um &longs;crip&longs;i&longs;&longs;e libros de re&longs;olutio­<lb/> | Euclidem, Apollonium Pergæum, & Ari&longs;t&etail;um &longs;crip&longs;i&longs;&longs;e libros de re&longs;olutio­<lb/> |
| ne, in quibus ars tradebatur, qua propo&longs;ito quouis theoremate, aut proble­<lb/> | ne, in quibus ars tradebatur, qua propo&longs;ito quouis theoremate, aut proble­<lb/> |
| mate po&longs;&longs;ent facile ex eo, tanquam vero accepto inue&longs;tigare aliquam veri­<lb/> | mate po&longs;&longs;ent facile ex eo, tanquam vero accepto inue&longs;tigare aliquam veri­<lb/> |
| |
| verò nominabant di&longs;cur&longs;um <expan abbr="illũ">illum</expan>, quo ex vero illo per re&longs;olutionem inuento, | verò nominabant di&longs;cur&longs;um <expan abbr="illũ">illum</expan>, quo ex vero illo per re&longs;olutionem inuento, |
| | |
| | |
| <pb xlink:href="009/01/036.jpg" pagenum="36" />o&longs;tendebant conclu&longs;ionem. </s> | <pb pagenum="36" xlink:href="009/01/036.jpg"/>o&longs;tendebant conclu&longs;ionem. </s> |
| <s id="id.000715">Porrò Diogenes Laert. <!-- REMOVE S-->huius re&longs;olutionis in­<lb/> | <s id="s.000713">Porrò Diogenes Laert. <!-- REMOVE S-->huius re&longs;olutionis in­<lb/> |
| uentorem facit Platonem: à quo eam Leodamas Tha&longs;ius didicit, cuius be­<lb/> | uentorem facit Platonem: à quo eam Leodamas Tha&longs;ius didicit, cuius be­<lb/> |
| neficio, pluries deinde Geometricas demon&longs;trationes adinuenit. </s> | neficio, pluries deinde Geometricas demon&longs;trationes adinuenit. </s> |
| <s id="id.000716">definitio <lb/> | <s id="s.000714">definitio <lb/> |
| <expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> e&longs;t apud Euclidem ad primam propo&longs;. </s> | <expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> e&longs;t apud Euclidem ad primam propo&longs;. 13. Elem. iuxta tran&longs;latio­<lb/> |
| <s id="id.000717">13. Elem. iuxta tran&longs;latio­<lb/> | |
| nem Zamberti, & Commandini; vbi etiam <expan abbr="quinq;">quinque</expan> priora theoremata, pri­<lb/> | nem Zamberti, & Commandini; vbi etiam <expan abbr="quinq;">quinque</expan> priora theoremata, pri­<lb/> |
| mò per re&longs;olutionem, deinde per compo&longs;itionem demon&longs;trantur, quæ tan­<lb/> | mò per re&longs;olutionem, deinde per compo&longs;itionem demon&longs;trantur, quæ tan­<lb/> |
| quam per&longs;picua exempla rei propo&longs;itæ in&longs;eruire po&longs;&longs;unt. </s> | quam per&longs;picua exempla rei propo&longs;itæ in&longs;eruire po&longs;&longs;unt. </s> |
| <s id="id.000718">&longs;unt præterea fre­<lb/> | <s id="s.000715">&longs;unt præterea fre­<lb/> |
| quentes huiu&longs;modi re&longs;olutiones in operibus Archimedis, Apollonij, & Pap­<lb/> | quentes huiu&longs;modi re&longs;olutiones in operibus Archimedis, Apollonij, & Pap­<lb/> |
| pi. </s> | pi. </s> |
| <s id="id.000719">extat adhuc liber Datorum Euclidis, qui geometricis re&longs;olutionibus in­<lb/> | <s id="s.000716">extat adhuc liber Datorum Euclidis, qui geometricis re&longs;olutionibus in­<lb/> |
| &longs;eruiebat. </s> | &longs;eruiebat. </s> |
| <s id="id.000720">vtinam extarent etiam alij de re&longs;olutione, quorum auxilio non <lb/> | <s id="s.000717">vtinam extarent etiam alij de re&longs;olutione, quorum auxilio non <lb/> |
| tantopere recentiores Mathematici in inueniendis Demo&longs;trationibus la­<lb/> | tantopere recentiores Mathematici in inueniendis Demo&longs;trationibus la­<lb/> |
| borarent; hanc re&longs;olutionem, &longs;ic Pappus fu&longs;ius, quam Euclides explicat; <lb/> | borarent; hanc re&longs;olutionem, &longs;ic Pappus fu&longs;ius, quam Euclides explicat; <lb/> |
| re&longs;olutio e&longs;t via à quæ&longs;ito tanquam conce&longs;&longs;o per ea, quæ ex ip&longs;o con&longs;equun­<lb/> | re&longs;olutio e&longs;t via à quæ&longs;ito tanquam conce&longs;&longs;o per ea, quæ ex ip&longs;o con&longs;equun­<lb/> |
| |
| tanquam factum, & verum &longs;upponentes, quid ex hoc &longs;equatur, con&longs;idera­<lb/> | tanquam factum, & verum &longs;upponentes, quid ex hoc &longs;equatur, con&longs;idera­<lb/> |
| mus, quou&longs;que incidamus in aliquod iam cognitum, vel quod &longs;it è numero <lb/> | mus, quou&longs;que incidamus in aliquod iam cognitum, vel quod &longs;it è numero <lb/> |
| principiorum. </s> | principiorum. </s> |
| <s id="id.000721">Quod quidem erat &longs;ignum euidens, quæ&longs;itum quoque verum <lb/> | <s id="s.000718">Quod quidem erat &longs;ignum euidens, quæ&longs;itum quoque verum <lb/> |
| e&longs;&longs;e. </s> | e&longs;&longs;e. </s> |
| <s id="id.000722">eadem omnino habet Proclus in comm. <!-- REMOVE S-->ad &longs;extam primi elem. </s> | <s id="s.000719">eadem omnino habet Proclus in comm. <!-- REMOVE S-->ad &longs;extam primi elem. </s> |
| <s id="id.000723">Quod <lb/> | <s id="s.000720">Quod <lb/> |
| porrò Ari&longs;t. ip&longs;e hanc re&longs;olutionem Mathematicam cognouerit e&longs;&longs;e medij <lb/> | porrò Ari&longs;t. ip&longs;e hanc re&longs;olutionem Mathematicam cognouerit e&longs;&longs;e medij <lb/> |
| inqui&longs;itionem manife&longs;tum e&longs;t ex cap. 3. lib. 3. Ethyc. <!-- REMOVE S-->vbi &longs;ic ait <emph type="italics"/>(Qui enim <lb/> | inqui&longs;itionem manife&longs;tum e&longs;t ex cap. 3. lib. 3. Ethyc. <!-- REMOVE S-->vbi &longs;ic ait <emph type="italics"/>(Qui enim <lb/> |
| con&longs;ultat, quærere videtur, & re&longs;oluere prædicto modo, quemadmodum de&longs;igna­<lb/> | con&longs;ultat, quærere videtur, & re&longs;oluere prædicto modo, quemadmodum de&longs;igna­<lb/> |
| |
| quam medij idonei ad finem in rebus agendis inqui&longs;itio, eamque dicat e&longs;&longs;e <lb/> | quam medij idonei ad finem in rebus agendis inqui&longs;itio, eamque dicat e&longs;&longs;e <lb/> |
| &longs;imilem re&longs;olutioni Geometricæ, manife&longs;tum e&longs;t, ip&longs;am <expan abbr="quoq;">quoque</expan> re&longs;olutionem <lb/> | &longs;imilem re&longs;olutioni Geometricæ, manife&longs;tum e&longs;t, ip&longs;am <expan abbr="quoq;">quoque</expan> re&longs;olutionem <lb/> |
| e&longs;&longs;e medij in rebus &longs;peculatiuis idonei perue&longs;tigationem. </s> | e&longs;&longs;e medij in rebus &longs;peculatiuis idonei perue&longs;tigationem. </s> |
| <s id="id.000724">Exi&longs;timo igitur <lb/> | <s id="s.000721">Exi&longs;timo igitur <lb/> |
| cum docti&longs;&longs;imis Zabarella, Burana, Toleto, & alijs, Ari&longs;totilem non &longs;olum <lb/> | cum docti&longs;&longs;imis Zabarella, Burana, Toleto, & alijs, Ari&longs;totilem non &longs;olum <lb/> |
| hanc &longs;uam logicam ad mathematicarum &longs;cientiarum typum compegi&longs;&longs;e, <lb/> | hanc &longs;uam logicam ad mathematicarum &longs;cientiarum typum compegi&longs;&longs;e, <lb/> |
| verum potius imitatum e&longs;&longs;e opus illud Euclidis de re&longs;olutione, atque ex eo <lb/> | verum potius imitatum e&longs;&longs;e opus illud Euclidis de re&longs;olutione, atque ex eo <lb/> |
| non &longs;olum plurima exempla Geometrica, verum etiam titulum de&longs;ump&longs;i&longs;&longs;e, <lb/>præ&longs;ertim cum argumentum e&longs;&longs;et ferè idem vtrobique, &longs;ed Ari&longs;t. intentio <lb/> | non &longs;olum plurima exempla Geometrica, verum etiam titulum de&longs;ump&longs;i&longs;&longs;e, <lb/>præ&longs;ertim cum argumentum e&longs;&longs;et ferè idem vtrobique, &longs;ed Ari&longs;t. intentio <lb/> |
| fuerit accommodare re&longs;olutionem omnibus <expan abbr="&longs;ci&etilde;tijs">&longs;cientijs</expan>; Euclidis verò, & alio­<lb/> | fuerit accommodare re&longs;olutionem omnibus <expan abbr="&longs;ci&etilde;tijs">&longs;cientijs</expan>; Euclidis verò, & alio­<lb/> |
| rum Geometriæ &longs;oli. </s> | rum Geometriæ &longs;oli. </s> |
| <s id="id.000725">hinc patere pote&longs;t, cur hi libri re&longs;olutorij in&longs;cribantur, <lb/> | <s id="s.000722">hinc patere pote&longs;t, cur hi libri re&longs;olutorij in&longs;cribantur, <lb/> |
| quod &longs;cilicet tradunt methodum, qua valeamus quæ&longs;itum quoduis re&longs;olue­<lb/> | quod &longs;cilicet tradunt methodum, qua valeamus quæ&longs;itum quoduis re&longs;olue­<lb/> |
| re, ide&longs;t, ex quæ&longs;ito tanquam vero inue&longs;tare aliquam veritatem, per quam <lb/> | re, ide&longs;t, ex quæ&longs;ito tanquam vero inue&longs;tare aliquam veritatem, per quam <lb/> |
| deinde propo&longs;itæ quæ&longs;tionis rationem methodo compo&longs;itiua reddamus. </s> | deinde propo&longs;itæ quæ&longs;tionis rationem methodo compo&longs;itiua reddamus. </s> |
| <s id="id.000726">Et <lb/> | <s id="s.000723">Et <lb/> |
| verò cum reliquas appellationes Problematis, Theorematis, Propo&longs;itionis, <lb/> | verò cum reliquas appellationes Problematis, Theorematis, Propo&longs;itionis, <lb/> |
| definitionum, po&longs;tulatorum, axiomatum, & alia huiu&longs;modi ex Geometri­<lb/> | definitionum, po&longs;tulatorum, axiomatum, & alia huiu&longs;modi ex Geometri­<lb/> |
| cis ad omnes &longs;cientias tran&longs;tulerit, quid ni etiam re&longs;olutionem? </s> | cis ad omnes &longs;cientias tran&longs;tulerit, quid ni etiam re&longs;olutionem? </s> |
| <s id="id.000727">maximè <lb/> | <s id="s.000724">maximè <lb/> |
| verò, quia &longs;i horum lib. intentio e&longs;&longs;et docere iam factum &longs;yllogi&longs;mum in &longs;ua <lb/> | verò, quia &longs;i horum lib. intentio e&longs;&longs;et docere iam factum &longs;yllogi&longs;mum in &longs;ua <lb/> |
| principia re&longs;oluere, parum e&longs;&longs;et vtilis; imò nec vtilis, &longs;ed &longs;uperfluum quid. <lb/> | principia re&longs;oluere, parum e&longs;&longs;et vtilis; imò nec vtilis, &longs;ed &longs;uperfluum quid. <lb/> |
| </s> | </s> |
| <s id="id.000728">at verò vbinam docuit hanc re&longs;olutionem? </s> | <s id="s.000725">at verò vbinam docuit hanc re&longs;olutionem? </s> |
| <s id="id.000729">profecto nullibi. </s> | <s id="s.000726">profecto nullibi. </s> |
| <s id="id.000730">quid opus e&longs;t <lb/> | <s id="s.000727">quid opus e&longs;t <lb/> |
| iam factum &longs;yllogi&longs;mum re&longs;oluere? </s> | iam factum &longs;yllogi&longs;mum re&longs;oluere? </s> |
| <s id="id.000731">at verò propo&longs;itam quæ&longs;tionem re&longs;ol­<lb/> | <s id="s.000728">at verò propo&longs;itam quæ&longs;tionem re&longs;ol­<lb/> |
| uere veterum mathematicorum more, hoc opus, hic labor e&longs;t.</s> | uere veterum mathematicorum more, hoc opus, hic labor e&longs;t.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000732">Hanc porrò re&longs;olutionem attendendam e&longs;&longs;e primò penes formam, quam <lb/> | <s id="s.000729">Hanc porrò re&longs;olutionem attendendam e&longs;&longs;e primò penes formam, quam <lb/> |
| docet primis duobus analyticis; &longs;ecundò penes materiam, quam tradit duo­ | docet primis duobus analyticis; &longs;ecundò penes materiam, quam tradit duo­ |
| | |
| | |
| <pb xlink:href="009/01/037.jpg" pagenum="37" />bus vltimis, non prætereundum. </s> | <pb pagenum="37" xlink:href="009/01/037.jpg"/>bus vltimis, non prætereundum. </s> |
| <s id="id.000733">reliquas duas logicæ partes, Topicam &longs;ci­<lb/> | <s id="s.000730">reliquas duas logicæ partes, Topicam &longs;ci­<lb/> |
| licet, & Elenchos, quæ &longs;yllogi&longs;mos probabilem, & apparentem docent, no­<lb/> | licet, & Elenchos, quæ &longs;yllogi&longs;mos probabilem, & apparentem docent, no­<lb/> |
| luit appellare re&longs;olutorios, quamuis inuentionem mediorum doceant, quia <lb/> | luit appellare re&longs;olutorios, quamuis inuentionem mediorum doceant, quia <lb/> |
| iam mos i&longs;te inoleuerat apud Philo&longs;ophos, & Mathematicos, vt illa &longs;ola <lb/> | iam mos i&longs;te inoleuerat apud Philo&longs;ophos, & Mathematicos, vt illa &longs;ola <lb/> |
| |
| &longs;crip&longs;erunt, talem materiam &longs;olum con&longs;iderent.</s> | &longs;crip&longs;erunt, talem materiam &longs;olum con&longs;iderent.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000734"><arrow.to.target n="marg5"/></s> | <s id="s.000731"><arrow.to.target n="marg5"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000735"><margin.target id="marg5"/>5</s> | <s id="s.000732"><margin.target id="marg5"/>5</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000736">Ex cap. 23. &longs;ecti primi lib. 1. <emph type="italics"/>(Vt quod diameter incommen&longs;urabilis eo, quod <lb/> | <s id="s.000733">Ex cap. 23. &longs;ecti primi lib. 1. <emph type="italics"/>(Vt quod diameter incommen&longs;urabilis eo, quod <lb/> |
| imparia æqualia paribus fiant, &longs;i fuerit po&longs;ita commen&longs;urabilis. </s> | imparia æqualia paribus fiant, &longs;i fuerit po&longs;ita commen&longs;urabilis. </s> |
| <s id="id.000737">æqualia igitur fieri <lb/> | <s id="s.000734">æqualia igitur fieri <lb/> |
| imparia paribus ratiocinantur, diametrum vtrò incommen&longs;urabilem e&longs;&longs;e ex &longs;uppo­<lb/> | imparia paribus ratiocinantur, diametrum vtrò incommen&longs;urabilem e&longs;&longs;e ex &longs;uppo­<lb/> |
| &longs;itione <expan abbr="mon&longs;trãt">mon&longs;trant</expan>, quoniam fal&longs;um accidit propter contradictionem)<emph.end type="italics"/> Euclides pri­<lb/> | &longs;itione <expan abbr="mon&longs;trãt">mon&longs;trant</expan>, quoniam fal&longs;um accidit propter contradictionem)<emph.end type="italics"/> Euclides pri­<lb/> |
| mis duabus definitionibus 10. elem. </s> | mis duabus definitionibus 10. elem. </s> |
| <s id="id.000738">definit, quæ nam &longs;int magnitudines <lb/> | <s id="s.000735">definit, quæ nam &longs;int magnitudines <lb/> |
| commen&longs;. </s> | commen&longs;. </s> |
| <s id="id.000739">& quæ incommen&longs;. </s> | <s id="s.000736">& quæ incommen&longs;. </s> |
| <s id="id.000740">&longs;ic; commen&longs;. </s> | <s id="s.000737">&longs;ic; commen&longs;. </s> |
| <s id="id.000741">magnitudines dicuntur, quas <lb/> | <s id="s.000738">magnitudines dicuntur, quas <lb/> |
| <figure id="id.009.01.037.1.jpg" xlink:href="009/01/037/1.jpg" place="text"/><lb/> | <figure id="id.009.01.037.1.jpg" place="text" xlink:href="009/01/037/1.jpg"/><lb/> |
| eadem men&longs;ura metitur, vt &longs;i fuerint duæ magnitu­<lb/> | eadem men&longs;ura metitur, vt &longs;i fuerint duæ magnitu­<lb/> |
| dines, A, & B, quas eadem men&longs;ura C, ide&longs;t quan­<lb/> | dines, A, & B, quas eadem men&longs;ura C, ide&longs;t quan­<lb/> |
| titas C, metiatur, ide&longs;t <expan abbr="quãtitas">quantitas</expan> C, applicata quan­<lb/> | titas C, metiatur, ide&longs;t <expan abbr="quãtitas">quantitas</expan> C, applicata quan­<lb/> |
| |
| neam A, replicata eam præcisè, & perfectè omninò <lb/> | neam A, replicata eam præcisè, & perfectè omninò <lb/> |
| adæquaret: & eadem linea C, applicata lineæ B, & &longs;uper illam ter, v.g. <!-- REMOVE S-->re­<lb/> | adæquaret: & eadem linea C, applicata lineæ B, & &longs;uper illam ter, v.g. <!-- REMOVE S-->re­<lb/> |
| petita ip&longs;am con&longs;umeret, diceretur <expan abbr="vtranq;">vtranque</expan> metiri, & proinde duas lineas <lb/> | petita ip&longs;am con&longs;umeret, diceretur <expan abbr="vtranq;">vtranque</expan> metiri, & proinde duas lineas <lb/> |
| A, & B, e&longs;&longs;e comm. <!-- REMOVE S-->definit po&longs;tea <expan abbr="incomm&etilde;&longs;">incommen&longs;</expan> hoc modo, incomm. autem, qua­<lb/> | A, & B, e&longs;&longs;e comm. <!-- REMOVE S-->definit po&longs;tea <expan abbr="incomm&etilde;&longs;">incommen&longs;.</expan> hoc modo, incomm. autem, qua­<lb/> |
| rum nullam contingit communem men&longs;uram reperiri; vt &longs;i duarum linea­<lb/> | rum nullam contingit communem men&longs;uram reperiri; vt &longs;i duarum linea­<lb/> |
| <figure id="id.009.01.037.2.jpg" xlink:href="009/01/037/2.jpg" place="text"/><lb/> | <figure id="id.009.01.037.2.jpg" place="text" xlink:href="009/01/037/2.jpg"/><lb/> |
| rum, A, B, nunquam po&longs;&longs;et reperiri aliqua men&longs;u­<lb/> | rum, A, B, nunquam po&longs;&longs;et reperiri aliqua men&longs;u­<lb/> |
| ra, quæ <expan abbr="vtranq;">vtranque</expan> adæquatè metiretur, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&longs;i linea <lb/> | ra, quæ <expan abbr="vtranq;">vtranque</expan> adæquatè metiretur, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&longs;i linea <lb/> |
| C, men&longs;uraret A, quater &longs;umpta, ter autem &longs;umpta <lb/> | C, men&longs;uraret A, quater &longs;umpta, ter autem &longs;umpta <lb/> |
| |
| men&longs;ura, loco ip&longs;ius C, a&longs;&longs;umpta, &longs;iue maior, &longs;iue <lb/> | men&longs;ura, loco ip&longs;ius C, a&longs;&longs;umpta, &longs;iue maior, &longs;iue <lb/> |
| minor ip&longs;a C, vt <expan abbr="vtranq;">vtranque</expan> nunquam perfectè metiretur, e&longs;&longs;ent duæ illæ lineæ <lb/> | minor ip&longs;a C, vt <expan abbr="vtranq;">vtranque</expan> nunquam perfectè metiretur, e&longs;&longs;ent duæ illæ lineæ <lb/> |
| incommen&longs;. </s> | incommen&longs;. </s> |
| <s id="id.000742">Extare porrò tales lineas, & &longs;uperficies, & corpora, <expan abbr="ea&qacute;">eaque</expan>; quam­<lb/> | <s id="s.000739">Extare porrò tales lineas, & &longs;uperficies, & corpora, <expan abbr="ea&qacute;">eaque</expan>; quam­<lb/> |
| plurima, ac penè infinita ex 10. Elem. manife&longs;tum e&longs;t. </s> | plurima, ac penè infinita ex 10. Elem. manife&longs;tum e&longs;t. </s> |
| <s id="id.000743">inuentum autem hu­<lb/> | <s id="s.000740">inuentum autem hu­<lb/> |
| ius a&longs;ymmetriæ, quod Pythagoricis veteres attribuunt, mihi &longs;emper vi&longs;um <lb/> | ius a&longs;ymmetriæ, quod Pythagoricis veteres attribuunt, mihi &longs;emper vi&longs;um <lb/> |
| e&longs;t omni maius admiratione, cum nulla experientia, <expan abbr="nullus&qacute;">nullusque</expan>; effectus in ip­<lb/> | e&longs;t omni maius admiratione, cum nulla experientia, <expan abbr="nullus&qacute;">nullusque</expan>; effectus in ip­<lb/> |
| &longs;ius cognitionem potuerit pri&longs;cos illos Geometras inducere. </s> | &longs;ius cognitionem potuerit pri&longs;cos illos Geometras inducere. </s> |
| <s id="id.000744">Quapropter <lb/> | <s id="s.000741">Quapropter <lb/> |
| non immeritò diuinus ille Plato lib. 7. de legib. </s> | non immeritò diuinus ille Plato lib. 7. de legib. </s> |
| <s id="id.000745">huius a&longs;ymmetriæ ignora­<lb/> | <s id="s.000742">huius a&longs;ymmetriæ ignora­<lb/> |
| tionem, adeo dete&longs;tatus e&longs;t, vt eam non hominum, &longs;ed &longs;uum, pecorumque <lb/> | tionem, adeo dete&longs;tatus e&longs;t, vt eam non hominum, &longs;ed &longs;uum, pecorumque <lb/> |
| ignorantiam cen&longs;uerit. </s> | ignorantiam cen&longs;uerit. </s> |
| <s id="id.000746">inter lineas incommen&longs;. </s> | <s id="s.000743">inter lineas incommen&longs;. &longs;unt diameter, & latus eiu&longs;­<lb/> |
| <s id="id.000747">&longs;unt diameter, & latus eiu&longs;­<lb/> | |
| dem quadrati, quia nulla pote&longs;t reperiri men&longs;ura quantumuis exigua, vti <lb/> | dem quadrati, quia nulla pote&longs;t reperiri men&longs;ura quantumuis exigua, vti <lb/> |
| <figure id="id.009.01.037.3.jpg" xlink:href="009/01/037/3.jpg" place="text"/><lb/> | <figure id="id.009.01.037.3.jpg" place="text" xlink:href="009/01/037/3.jpg"/><lb/> |
| e&longs;t lineola E, in præ&longs;enti quadrato, etiam&longs;i illam in <lb/> | e&longs;t lineola E, in præ&longs;enti quadrato, etiam&longs;i illam in <lb/> |
| infinitum &longs;ubdiuidas, quæ <expan abbr="vtranq;">vtranque</expan> lineam, diame­<lb/> | infinitum &longs;ubdiuidas, quæ <expan abbr="vtranq;">vtranque</expan> lineam, diame­<lb/> |
| trum &longs;cilicet A C, & latus quoduis ex quatuor, v. <!-- REMOVE S-->g. <lb/> | trum &longs;cilicet A C, & latus quoduis ex quatuor, v. <!-- REMOVE S-->g. <lb/> |
| <!-- REMOVE S-->latus B C, præcisè omnino metiatur. </s> | <!-- REMOVE S-->latus B C, præcisè omnino metiatur. </s> |
| <s id="id.000748">theorema <lb/> | <s id="s.000744">theorema <lb/> |
| i&longs;tud demon&longs;tratur in vltima 10. Elem. eodem me­<lb/> | i&longs;tud demon&longs;tratur in vltima 10. Elem. eodem me­<lb/> |
| dio, quod ab Ari&longs;totele hic innuitur; Euclides ex <lb/>&longs;uppo&longs;itione alterius partis contradictionis ip&longs;ius <pb xlink:href="009/01/038.jpg" pagenum="38" />propo&longs;itionis, quæ fal&longs;a e&longs;t, nimirum &longs;uppo&longs;ito prædictas lineas e&longs;&longs;e comm. <lb/> | dio, quod ab Ari&longs;totele hic innuitur; Euclides ex <lb/>&longs;uppo&longs;itione alterius partis contradictionis ip&longs;ius <pb pagenum="38" xlink:href="009/01/038.jpg"/>propo&longs;itionis, quæ fal&longs;a e&longs;t, nimirum &longs;uppo&longs;ito prædictas lineas e&longs;&longs;e comm. <lb/> |
| <!-- REMOVE S-->deducit ad impo&longs;&longs;ibile, &longs;iue, vt ait hic Ari&longs;t. fal&longs;um ratiocinatur, quod &longs;ci­<lb/> | <!-- REMOVE S-->deducit ad impo&longs;&longs;ibile, &longs;iue, vt ait hic Ari&longs;t. fal&longs;um ratiocinatur, quod &longs;ci­<lb/> |
| licet idem numerus e&longs;&longs;et par, & impar, quod Ari&longs;t. &longs;ignificat, quando ait, <lb/> | licet idem numerus e&longs;&longs;et par, & impar, quod Ari&longs;t. &longs;ignificat, quando ait, <lb/> |
| imparia æqualia paribus fiunt. </s> | imparia æqualia paribus fiunt. </s> |
| <s id="id.000749">ex quo ab&longs;urdo deducitur fal&longs;am e&longs;&longs;e prædi­<lb/> | <s id="s.000745">ex quo ab&longs;urdo deducitur fal&longs;am e&longs;&longs;e prædi­<lb/> |
| ctam &longs;uppo&longs;itionem, quæ a&longs;truebat e&longs;&longs;e comm. <!-- REMOVE S-->& proinde altera pars con­<lb/> | ctam &longs;uppo&longs;itionem, quæ a&longs;truebat e&longs;&longs;e comm. <!-- REMOVE S-->& proinde altera pars con­<lb/> |
| tradictionis, quæ e&longs;t, e&longs;&longs;e incomm. <!-- REMOVE S-->vera a&longs;truitur. </s> | tradictionis, quæ e&longs;t, e&longs;&longs;e incomm. <!-- REMOVE S-->vera a&longs;truitur. </s> |
| <s id="id.000750">ex quibus &longs;atis videtur ex­<lb/> | <s id="s.000746">ex quibus &longs;atis videtur ex­<lb/> |
| plicari hic locus. </s> | plicari hic locus. </s> |
| <s id="id.000751">videas igitur, quàm leuiter nonnulli no&longs;træ tempe&longs;tatis <lb/> | <s id="s.000747">videas igitur, quàm leuiter nonnulli no&longs;træ tempe&longs;tatis <lb/> |
| ageometreti i&longs;tud exponant, dicentes diametrum e&longs;&longs;e incomm. <!-- REMOVE S-->co&longs;tæ, nihil <lb/> | ageometreti i&longs;tud exponant, dicentes diametrum e&longs;&longs;e incomm. <!-- REMOVE S-->co&longs;tæ, nihil <lb/> |
| aliud &longs;ignificare, quam diametrum e&longs;&longs;e longiorem co&longs;ta, qua expo&longs;itione <lb/> | aliud &longs;ignificare, quam diametrum e&longs;&longs;e longiorem co&longs;ta, qua expo&longs;itione <lb/> |
| nihil ineptius. </s> | nihil ineptius. </s> |
| <s id="id.000752">Aduerte tandem figuram vulgatæ editionis e&longs;&longs;e ineptam, <lb/> | <s id="s.000748">Aduerte tandem figuram vulgatæ editionis e&longs;&longs;e ineptam, <lb/> |
| cum habeat duo quadrata alterum &longs;uper diametro alterius, quorum maius <lb/> | cum habeat duo quadrata alterum &longs;uper diametro alterius, quorum maius <lb/> |
| &longs;uperuacaneum e&longs;t.</s> | &longs;uperuacaneum e&longs;t.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000753"><arrow.to.target n="marg6"/></s> | <s id="s.000749"><arrow.to.target n="marg6"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000754"><margin.target id="marg6"/>6</s> | <s id="s.000750"><margin.target id="marg6"/>6</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000755">Et cap. 24. &longs;ecti primi libri primi <emph type="italics"/>(Sed magis efficitur manife&longs;tum in de&longs;cri­<lb/> | <s id="s.000751">Et cap. 24. &longs;ecti primi libri primi <emph type="italics"/>(Sed magis efficitur manife&longs;tum in de&longs;cri­<lb/> |
| ptionibus, vt quod æquicruris, qui ad ba&longs;im æquales &longs;int, ad centrum ductæ A B, <lb/>A C, &longs;i igitur æqualem accipiat A G, angulum ip&longs;i A B D, non omnino ex</s> | ptionibus, vt quod æquicruris, qui ad ba&longs;im æquales &longs;int, ad centrum ductæ A B, <lb/>A C, &longs;i igitur æqualem accipiat A G, angulum ip&longs;i A B D, non omnino exi&longs;timans <lb/> |
| <s id="id.000756">i&longs;timans <lb/> | |
| æquales, qui &longs;emicirculorum, & rur&longs;us G, ip&longs;i D, non omnem a&longs;&longs;umens eum, qui &longs;e­<lb/> | æquales, qui &longs;emicirculorum, & rur&longs;us G, ip&longs;i D, non omnem a&longs;&longs;umens eum, qui &longs;e­<lb/> |
| cti. </s> | cti. </s> |
| <s id="id.000757">amplius ab æqualibus existentibus totis angulis, & ablatorum æquales e&longs;&longs;e re­<lb/> | <s id="s.000752">amplius ab æqualibus existentibus totis angulis, & ablatorum æquales e&longs;&longs;e re­<lb/> |
| liquos E, F, quod ex principio petet, ni&longs;i acceperit ab æqualibus demptis æqualia <lb/> | liquos E, F, quod ex principio petet, ni&longs;i acceperit ab æqualibus demptis æqualia <lb/> |
| derelinqui.)<emph.end type="italics"/> Primum &longs;cias characteres vulgatæ editionis, vna cum figura ip­<lb/> | derelinqui.)<emph.end type="italics"/> Primum &longs;cias characteres vulgatæ editionis, vna cum figura ip­<lb/> |
| &longs;is re&longs;pondente, e&longs;&longs;e mendo&longs;os; propterea ex textu græco vtrunque corri­<lb/> | &longs;is re&longs;pondente, e&longs;&longs;e mendo&longs;os; propterea ex textu græco vtrunque corri­<lb/> |
| gendum putaui in hunc, quem vidi&longs;ti modum. </s> | gendum putaui in hunc, quem vidi&longs;ti modum. </s> |
| <s id="id.000758">Secundo, per de&longs;criptiones <lb/> | <s id="s.000753">Secundo, per de&longs;criptiones <lb/> |
| Ari&longs;t. intelligere <expan abbr="demõ&longs;trationes">demon&longs;trationes</expan> Geometricas &longs;upra diximus, quod ex hoc <lb/> | Ari&longs;t. intelligere <expan abbr="demõ&longs;trationes">demon&longs;trationes</expan> Geometricas &longs;upra diximus, quod ex hoc <lb/> |
| loco euidenter confirmatur, vbi manife&longs;tè loco de&longs;criptionis &longs;upponit li­<lb/> | loco euidenter confirmatur, vbi manife&longs;tè loco de&longs;criptionis &longs;upponit li­<lb/> |
| nearem demon&longs;trationem. </s> | nearem demon&longs;trationem. </s> |
| <s id="id.000759">In hoc <expan abbr="itaq;">itaque</expan> exemplo vult Ari&longs;t. illud demon­<lb/> | <s id="s.000754">In hoc <expan abbr="itaq;">itaque</expan> exemplo vult Ari&longs;t. illud demon­<lb/> |
| &longs;trare, quod Euclides in 5. primi o&longs;tendit, alio tamen modo, &longs;cilicet I&longs;o&longs;ce­<lb/> | &longs;trare, quod Euclides in 5. primi o&longs;tendit, alio tamen modo, &longs;cilicet I&longs;o&longs;ce­<lb/> |
| lium triangulorum, qui ad ba&longs;im &longs;unt anguli, inter &longs;e &longs;unt æquales. </s> | lium triangulorum, qui ad ba&longs;im &longs;unt anguli, inter &longs;e &longs;unt æquales. </s> |
| <s id="id.000760">e&longs;t au­<lb/> | <s id="s.000755">e&longs;t au­<lb/> |
| tem figura in omnibus textibus deprauata, quam &longs;ic puto <expan abbr="rè&longs;tītuendam">rè&longs;tituendam</expan> e&longs;&longs;e <lb/> | tem figura in omnibus textibus deprauata, quam &longs;ic puto <expan abbr="rè&longs;tītuendam">rè&longs;tituendam</expan> e&longs;&longs;e <lb/> |
| ex quodam græco codice, qui characteres hoc modo appo&longs;uerat. </s> | ex quodam græco codice, qui characteres hoc modo appo&longs;uerat. </s> |
| <s id="id.000761">&longs;it I&longs;o&longs;ce­<lb/> | <s id="s.000756">&longs;it I&longs;o&longs;ce­<lb/> |
| <figure id="id.009.01.038.1.jpg" xlink:href="009/01/038/1.jpg" place="text"/><lb/> | <figure id="id.009.01.038.1.jpg" place="text" xlink:href="009/01/038/1.jpg"/><lb/> |
| les C A B, cuius ba&longs;is C B, Dico angulos &longs;upra ba&longs;im, <lb/> | les C A B, cuius ba&longs;is C B, Dico angulos &longs;upra ba&longs;im, <lb/> |
| in quibus literæ E F, e&longs;&longs;e inuicem æquales. </s> | in quibus literæ E F, e&longs;&longs;e inuicem æquales. </s> |
| <s id="id.000762">facto centro <lb/> | <s id="s.000757">facto centro <lb/> |
| in A, de&longs;cribatur circulus A B C, tran&longs;iens per puncta <lb/> | in A, de&longs;cribatur circulus A B C, tran&longs;iens per puncta <lb/> |
| C B, iam &longs;ic. </s> | C B, iam &longs;ic. </s> |
| <s id="id.000763">omnes anguli &longs;emicirculi &longs;unt æquales in­<lb/> | <s id="s.000758">omnes anguli &longs;emicirculi &longs;unt æquales in­<lb/> |
| ter &longs;e, ergo anguli A C G, A B D, &longs;unt æquales. </s> | ter &longs;e, ergo anguli A C G, A B D, &longs;unt æquales. </s> |
| <s id="id.000764">Præte­<lb/> | <s id="s.000759">Præte­<lb/> |
| rea cùm anguli eiu&longs;dem &longs;ectionis &longs;int æquales ad inui­<lb/> | rea cùm anguli eiu&longs;dem &longs;ectionis &longs;int æquales ad inui­<lb/> |
| cem, erunt anguli &longs;ectionis C B D G, nimirum anguli, <lb/> | cem, erunt anguli &longs;ectionis C B D G, nimirum anguli, <lb/> |
| in quibus &longs;unt G, & D, inter &longs;e æquales: <expan abbr="cum&qacute;">cumque</expan>; hi duo <lb/> | in quibus &longs;unt G, & D, inter &longs;e æquales: <expan abbr="cum&qacute;">cumque</expan>; hi duo <lb/> |
| |
| A B D, &longs;i illi ab his auferantur, auferuntur æquales anguli ab æqualibus an­<lb/> | A B D, &longs;i illi ab his auferantur, auferuntur æquales anguli ab æqualibus an­<lb/> |
| gulis, ergo anguli, qui remanent, &longs;cilicet E, & F, erunt æquales, quod erat <lb/> | gulis, ergo anguli, qui remanent, &longs;cilicet E, & F, erunt æquales, quod erat <lb/> |
| demon&longs;trandum. </s> | demon&longs;trandum. </s> |
| <s id="id.000765">hinc Ari&longs;t. infert manife&longs;tum e&longs;&longs;e oportere in omni &longs;yllo­<lb/> | <s id="s.000760">hinc Ari&longs;t. infert manife&longs;tum e&longs;&longs;e oportere in omni &longs;yllo­<lb/> |
| gi&longs;mo, reperiri vniuer&longs;ales, & affirmatiuas propo&longs;itiones, vt Factum e&longs;t in <lb/> | gi&longs;mo, reperiri vniuer&longs;ales, & affirmatiuas propo&longs;itiones, vt Factum e&longs;t in <lb/> |
| præcedenti aliter e&longs;&longs;et petitio principij. </s> | præcedenti aliter e&longs;&longs;et petitio principij. </s> |
| <s id="id.000766">Quænam vero &longs;it æqualitas, quam <lb/> | <s id="s.000761">Quænam vero &longs;it æqualitas, quam <lb/> |
| Geometræ con&longs;iderant, infra cap. 1. &longs;ecti 3. explicabitur.</s> | Geometræ con&longs;iderant, infra cap. 1. &longs;ecti 3. explicabitur.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000767"><arrow.to.target n="marg7"/></s> | <s id="s.000762"><arrow.to.target n="marg7"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000768"><margin.target id="marg7"/>7</s> | <s id="s.000763"><margin.target id="marg7"/>7</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000769">Ex cap. 2. &longs;ecti 2. lib. 1. <emph type="italics"/>(Secundum veritatem quidem ex ijs, quæ &longs;ecundum <lb/> | <s id="s.000764">Ex cap. 2. &longs;ecti 2. lib. 1. <emph type="italics"/>(Secundum veritatem quidem ex ijs, quæ &longs;ecundum <lb/> |
| veritatem de&longs;cribuntur ine&longs;&longs;e, ad dialecticos autem &longs;yllogi&longs;mos ex propo&longs;itionibus <lb/> | veritatem de&longs;cribuntur ine&longs;&longs;e, ad dialecticos autem &longs;yllogi&longs;mos ex propo&longs;itionibus <lb/> |
| &longs;ecundum opinionem)<emph.end type="italics"/> verba illa; ex ijs, quæ <expan abbr="&longs;ecundũ">&longs;ecundum</expan> veritatem de&longs;cribuntur <pb xlink:href="009/01/039.jpg" pagenum="39" />ine&longs;&longs;e; &longs;ic græcè, <foreign lang="greek">e/a tw_n xata\ aleiq/ei/an diagegramme/non,</foreign> vbi manife&longs;tè vtitur <lb/> | &longs;ecundum opinionem)<emph.end type="italics"/> verba illa; ex ijs, quæ <expan abbr="&longs;ecundũ">&longs;ecundum</expan> veritatem de&longs;cribuntur <pb pagenum="39" xlink:href="009/01/039.jpg"/>ine&longs;&longs;e; &longs;ic græcè, <foreign lang="greek">e/k tw=n kata\ alhqei/an diagegramme/non </foreign> vbi manife&longs;tè vtitur <lb/> |
| verbo, De&longs;cribere, per quod &longs;uperius annotauimus apud Ari&longs;t. &longs;ignificari <lb/> | verbo, De&longs;cribere, per quod &longs;uperius annotauimus apud Ari&longs;t. &longs;ignificari <lb/> |
| Geometricas demon&longs;trationes, nam eas opponit dialecticis &longs;yllogi&longs;mis, &longs;e­<lb/> | Geometricas demon&longs;trationes, nam eas opponit dialecticis &longs;yllogi&longs;mis, &longs;e­<lb/> |
| quentibus verbis, cum dixit (ad dialecticos autem &longs;yllogi&longs;mos ex propo&longs;i­<lb/> | quentibus verbis, cum dixit (ad dialecticos autem &longs;yllogi&longs;mos ex propo&longs;i­<lb/> |
| |
| pres non videtur adhibui&longs;&longs;e, &longs;en&longs;us huius loci non erit ob&longs;curus.</s> | pres non videtur adhibui&longs;&longs;e, &longs;en&longs;us huius loci non erit ob&longs;curus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000770"><arrow.to.target n="marg8"/></s> | <s id="s.000765"><arrow.to.target n="marg8"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000771"><margin.target id="marg8"/>8</s> | <s id="s.000766"><margin.target id="marg8"/>8</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000772">Ex eodem loco paulo po&longs;t <emph type="italics"/>(Quare principia quidem, quæ &longs;ecundum <expan abbr="vnum-quodq;">vnum­<lb/> | <s id="s.000767">Ex eodem loco paulo po&longs;t <emph type="italics"/>(Quare principia quidem, quæ &longs;ecundum <expan abbr="vnum-quodq;">vnum­<lb/> |
| quodque</expan> &longs;unt experimenti est tradere: dico autem, vt a&longs;trologicam experientiam <lb/> | quodque</expan> &longs;unt experimenti est tradere: dico autem, vt a&longs;trologicam experientiam <lb/> |
| a&longs;trologicæ &longs;cientiæ: acceptis enim apparentibus <expan abbr="&longs;uffici&etilde;ter">&longs;ufficienter</expan>, ita inuentæ &longs;unt a&longs;tro­<lb/> | a&longs;trologicæ &longs;cientiæ: acceptis enim apparentibus <expan abbr="&longs;uffici&etilde;ter">&longs;ufficienter</expan>, ita inuentæ &longs;unt a&longs;tro­<lb/> |
| logicæ demonstrationes)<emph.end type="italics"/> Cum rationem tradat inueniendorum mediorum ad <lb/>quodlibet problema demon&longs;trandum; nunc docet, non omnia in &longs;cientijs <lb/> | logicæ demonstrationes)<emph.end type="italics"/> Cum rationem tradat inueniendorum mediorum ad <lb/>quodlibet problema demon&longs;trandum; nunc docet, non omnia in &longs;cientijs <lb/>po&longs;&longs;e probari, aut demoν&longs;trari: principia enim &longs;cientiarum <expan abbr="nõ">non</expan> demon&longs;tran­<lb/> |
| po&longs;&longs;e probari, aut demou&longs;trari: principia enim &longs;cientiarum <expan abbr="nõ">non</expan> demon&longs;tran­<lb/> | |
| tur, &longs;ed &longs;ola experientia manife&longs;ta &longs;unt; vt patet in A&longs;tronomia, quæ ab ex­<lb/> | tur, &longs;ed &longs;ola experientia manife&longs;ta &longs;unt; vt patet in A&longs;tronomia, quæ ab ex­<lb/> |
| perientia &longs;ua &longs;olet &longs;tabilire principia: principijs autem <expan abbr="experim&etilde;to">experimento</expan> con&longs;ti­<lb/> | perientia &longs;ua &longs;olet &longs;tabilire principia: principijs autem <expan abbr="experim&etilde;to">experimento</expan> con&longs;ti­<lb/> |
| tutis ex ip&longs;is reliqua problemata <expan abbr="demon&longs;trãtur">demon&longs;trantur</expan>. </s> | tutis ex ip&longs;is reliqua problemata <expan abbr="demon&longs;trãtur">demon&longs;trantur</expan>. </s> |
| <s id="id.000773">duo autem &longs;unt apud a&longs;tro­<lb/> | <s id="s.000768">duo autem &longs;unt apud a&longs;tro­<lb/> |
| nomos genera experimenti, primum dicitur Phænomena, ide&longs;t, <expan abbr="appar&etilde;tiæ">apparentiæ</expan>; <lb/> | nomos genera experimenti, primum dicitur Phænomena, ide&longs;t, <expan abbr="appar&etilde;tiæ">apparentiæ</expan>; <lb/> |
| & &longs;unt ea, quæ vulgo omnibus patent, vt Solem oriri, & occidere; a&longs;tra fer­<lb/> | & &longs;unt ea, quæ vulgo omnibus patent, vt Solem oriri, & occidere; a&longs;tra fer­<lb/> |
| ri circulariter, diem augeri modo, modo minui: & his &longs;imilia. </s> | ri circulariter, diem augeri modo, modo minui: & his &longs;imilia. </s> |
| <s id="id.000774">alterum ge­<lb/> | <s id="s.000769">alterum ge­<lb/> |
| nus dicitur ob&longs;eruationes, quæ tantummodo a&longs;tronomiæ peritis per ob&longs;er­<lb/> | nus dicitur ob&longs;eruationes, quæ tantummodo a&longs;tronomiæ peritis per ob&longs;er­<lb/> |
| uationem innote&longs;cunt, vt Solem inæqualiter ferri proprio motu per Zodia­<lb/> | uationem innote&longs;cunt, vt Solem inæqualiter ferri proprio motu per Zodia­<lb/> |
| cum; aliquando maiorem, aliquando minorem videri; plures dies immo­<lb/> | cum; aliquando maiorem, aliquando minorem videri; plures dies immo­<lb/> |
| rari citra æquatiorem in parte Zodiaci boreali, quam in altera vltra æqua­<lb/> | rari citra æquatiorem in parte Zodiaci boreali, quam in altera vltra æqua­<lb/> |
| torem au&longs;trali. </s> | torem au&longs;trali. </s> |
| <s id="id.000775">dies naturales e&longs;&longs;e inuicem inæquales, &c. </s> | <s id="s.000770">dies naturales e&longs;&longs;e inuicem inæquales, &c. </s> |
| <s id="id.000776">ex quibus deinde <lb/> | <s id="s.000771">ex quibus deinde <lb/> |
| ponunt eccentricos, & augem, ad &longs;aluandas tum apparentias, tum ob&longs;erua­<lb/> | ponunt eccentricos, & augem, ad &longs;aluandas tum apparentias, tum ob&longs;erua­<lb/> |
| tiones; & hac ratione a&longs;trologica &longs;cientia paulatim reperta e&longs;t, ac in dies <lb/> | tiones; & hac ratione a&longs;trologica &longs;cientia paulatim reperta e&longs;t, ac in dies <lb/> |
| reperitur.</s> | reperitur.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000777"><arrow.to.target n="marg9"/></s> | <s id="s.000772"><arrow.to.target n="marg9"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000778"><margin.target id="marg9"/>9</s> | <s id="s.000773"><margin.target id="marg9"/>9</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000779">Ex cap. 3. &longs;ecti 2. lib. 1. <emph type="italics"/>(Vt an ne diameter incomm.)<emph.end type="italics"/> loquitur de a&longs;ymme­<lb/> | <s id="s.000774">Ex cap. 3. &longs;ecti 2. lib. 1. <emph type="italics"/>(Vt an ne diameter incomm.)<emph.end type="italics"/> loquitur de a&longs;ymme­<lb/> |
| tria diametri, & co&longs;tæ eiu&longs;dem quadrati, de qua fusè egimus &longs;uperius in <lb/> | tria diametri, & co&longs;tæ eiu&longs;dem quadrati, de qua fusè egimus &longs;uperius in <lb/> |
| cap. 23. &longs;ecti 1. huius libri; quæ &longs;i repetantur, optimè hunc <expan abbr="locũ">locum</expan> declarant.</s> | cap. 23. &longs;ecti 1. huius libri; quæ &longs;i repetantur, optimè hunc <expan abbr="locũ">locum</expan> declarant.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000780"><arrow.to.target n="marg10"/></s> | <s id="s.000775"><arrow.to.target n="marg10"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000781"><margin.target id="marg10"/>10</s> | <s id="s.000776"><margin.target id="marg10"/>10</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000782">Ex cap. 1. &longs;ecti 3. lib. 1. <emph type="italics"/>(Sit A, duo recti, in quo B, triangulus, in quo C, <lb/> | <s id="s.000777">Ex cap. 1. &longs;ecti 3. lib. 1. <emph type="italics"/>(Sit A, duo recti, in quo B, triangulus, in quo C, <lb/> |
| æquicrus, ip&longs;i <expan abbr="itaq;">itaque</expan> C, ine&longs;t A. per B; ip&longs;i vero B, non amplius per aliud, per &longs;e <lb/> | æquicrus, ip&longs;i <expan abbr="itaq;">itaque</expan> C, ine&longs;t A. per B; ip&longs;i vero B, non amplius per aliud, per &longs;e <lb/> |
| namque triangulus habet duos rectos)<emph.end type="italics"/> nullum aliud exemplum tam frequenter <lb/> | namque triangulus habet duos rectos)<emph.end type="italics"/> nullum aliud exemplum tam frequenter <lb/> |
| v&longs;urpat Philo&longs;ophus, quam i&longs;tud ex Mathematicis de&longs;umptum de triangu­<lb/> | v&longs;urpat Philo&longs;ophus, quam i&longs;tud ex Mathematicis de&longs;umptum de triangu­<lb/> |
| |
| nem illam, quam duæ lineæ non in directum po&longs;itæ faciunt: &longs;iue etiam (vt <lb/> | nem illam, quam duæ lineæ non in directum po&longs;itæ faciunt: &longs;iue etiam (vt <lb/> |
| melius percipiamus) angulum e&longs;&longs;e acumen illud, &longs;iue mucronem <expan abbr="illũ">illum</expan>, quem <lb/> | melius percipiamus) angulum e&longs;&longs;e acumen illud, &longs;iue mucronem <expan abbr="illũ">illum</expan>, quem <lb/> |
| duæ lineæ non in directum con&longs;titutæ faciunt, vt duarum linearum A B, A C, <lb/> | duæ lineæ non in directum con&longs;titutæ faciunt, vt duarum linearum A B, A C, <lb/> |
| <figure id="id.009.01.039.1.jpg" xlink:href="009/01/039/1.jpg" place="text"/><lb/> | <figure id="id.009.01.039.1.jpg" place="text" xlink:href="009/01/039/1.jpg"/><lb/> |
| inclinatio in puncto A, &longs;iue acumen illud, &longs;iue mucro, <lb/> | inclinatio in puncto A, &longs;iue acumen illud, &longs;iue mucro, <lb/> |
| e&longs;t ratio anguli. </s> | e&longs;t ratio anguli. </s> |
| <s id="id.000783">&longs;olum igitur duo anguli erunt æqua­<lb/> | <s id="s.000778">&longs;olum igitur duo anguli erunt æqua­<lb/> |
| les, <expan abbr="quãdo">quando</expan> vnius acumen æquale erit acumini alterius; <lb/> | les, <expan abbr="quãdo">quando</expan> vnius acumen æquale erit acumini alterius; <lb/> |
| etiam &longs;i lineæ con&longs;tituentes vnum angulum &longs;int lon­<lb/> | etiam &longs;i lineæ con&longs;tituentes vnum angulum &longs;int lon­<lb/> |
| giores lineis alterum angulum con&longs;tituentibus, quia <lb/>quantitas anguli non attenditur penes longitudinem <pb xlink:href="009/01/040.jpg" pagenum="40" /><expan abbr="linearũ">linearum</expan>, &longs;ed penes inclinationem, & mucronem, quem faciunt: vnde etiam&longs;i <lb/> | giores lineis alterum angulum con&longs;tituentibus, quia <lb/>quantitas anguli non attenditur penes longitudinem <pb pagenum="40" xlink:href="009/01/040.jpg"/><expan abbr="linearũ">linearum</expan>, &longs;ed penes inclinationem, & mucronem, quem faciunt: vnde etiam&longs;i <lb/> |
| duæ lineæ prædictæ A B, A C, productæ, &longs;iue etiam decurtatæ fuerint, dum­<lb/> | duæ lineæ prædictæ A B, A C, productæ, &longs;iue etiam decurtatæ fuerint, dum­<lb/> |
| modo &longs;itus, &longs;iue po&longs;itio ip&longs;arum, quam ad inuicem habent, non varietur, <lb/> | modo &longs;itus, &longs;iue po&longs;itio ip&longs;arum, quam ad inuicem habent, non varietur, <lb/> |
| erit &longs;emper eadem quantitas anguli A. <!-- KEEP S--></s> | erit &longs;emper eadem quantitas anguli A. <!-- KEEP S--></s> |
| <s id="id.000784">Aduertendum præterea rationem <lb/> | <s id="s.000779">Aduertendum præterea rationem <lb/> |
| anguli non po&longs;&longs;e &longs;aluari in &longs;olo puncto A, in quo lineæ concurrunt, &longs;ed ne­<lb/> | anguli non po&longs;&longs;e &longs;aluari in &longs;olo puncto A, in quo lineæ concurrunt, &longs;ed ne­<lb/> |
| ce&longs;&longs;ariam e&longs;&longs;e aliquam quantitatem, quamuis exiguam, linearum A B, A C. <lb/> | ce&longs;&longs;ariam e&longs;&longs;e aliquam quantitatem, quamuis exiguam, linearum A B, A C. <lb/> |
| <!-- KEEP S--></s> | <!-- KEEP S--></s> |
| <s id="id.000785">Notandum etiam, quod in nominatione angulorum, quæ fit per tres lite­<lb/> | <s id="s.000780">Notandum etiam, quod in nominatione angulorum, quæ fit per tres lite­<lb/> |
| ras, &longs;emper literam illam e&longs;&longs;e medio loco proferendam, quæ ad acumen ip­<lb/> | ras, &longs;emper literam illam e&longs;&longs;e medio loco proferendam, quæ ad acumen ip­<lb/> |
| &longs;um po&longs;ita e&longs;t, vt in &longs;uperiori, litera A, debet &longs;emper media proferri, dicen­<lb/> | &longs;um po&longs;ita e&longs;t, vt in &longs;uperiori, litera A, debet &longs;emper media proferri, dicen­<lb/> |
| do angulum B A C, &longs;iue C A B, <expan abbr="nũquam">nunquam</expan> tamen licet dicere angulum A C B, <lb/> | do angulum B A C, &longs;iue C A B, <expan abbr="nũquam">nunquam</expan> tamen licet dicere angulum A C B, <lb/> |
| vel C B A. <!-- KEEP S--></s> | vel C B A. <!-- KEEP S--></s> |
| <s id="id.000786">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita <lb/> | <s id="s.000781">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita <lb/> |
| <expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g. <lb/> | <expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g. <lb/> |
| <!-- REMOVE S-->angulus B A C, diuidatur in duos angulos à linea A D. tunc enim duo angu­<lb/> | <!-- REMOVE S-->angulus B A C, diuidatur in duos angulos à linea A D. tunc enim duo angu­<lb/> |
| <figure id="id.009.01.040.1.jpg" xlink:href="009/01/040/1.jpg" place="text"/><lb/> | <figure id="id.009.01.040.1.jpg" place="text" xlink:href="009/01/040/1.jpg"/><lb/> |
| li partiales B A D, D A C, erunt æquales totali angulo <lb/> | li partiales B A D, D A C, erunt æquales totali angulo <lb/> |
| B A C, cum partes omnes &longs;imul &longs;umptæ &longs;int &longs;uo toti æqua­<lb/> | B A C, cum partes omnes &longs;imul &longs;umptæ &longs;int &longs;uo toti æqua­<lb/> |
| les. </s> | les. </s> |
| <s id="id.000787">pariter tres anguli po&longs;&longs;unt æquari & vni, & duobus <lb/> | <s id="s.000782">pariter tres anguli po&longs;&longs;unt æquari & vni, & duobus <lb/> |
| alijs angulis, quando nimirum a cumina, &longs;iue mucrones il­<lb/> | alijs angulis, quando nimirum a cumina, &longs;iue mucrones il­<lb/> |
| li &longs;imul ad vnum punctum con&longs;tituti <expan abbr="adæquar&etilde;tur">adæquarentur</expan> mucro­<lb/> | li &longs;imul ad vnum punctum con&longs;tituti <expan abbr="adæquar&etilde;tur">adæquarentur</expan> mucro­<lb/> |
| ni illi, quem con&longs;tituerent alij duo anguli, quibus illi tres <lb/> | ni illi, quem con&longs;tituerent alij duo anguli, quibus illi tres <lb/> |
| &longs;unt pares, v.g. <!-- REMOVE S-->&longs;int tres anguli trianguli A B C, <expan abbr="&longs;int&qacute;">&longs;intque</expan>; alij duo anguli recti, <lb/> | &longs;unt pares, v.g. <!-- REMOVE S-->&longs;int tres anguli trianguli A B C, <expan abbr="&longs;int&qacute;">&longs;intque</expan>; alij duo anguli recti, <lb/> |
| <figure id="id.009.01.040.2.jpg" xlink:href="009/01/040/2.jpg" place="text"/><lb/> | <figure id="id.009.01.040.2.jpg" place="text" xlink:href="009/01/040/2.jpg"/><lb/> |
| quos linea perpendicularis D E, facit cum li­<lb/> | quos linea perpendicularis D E, facit cum li­<lb/> |
| nea F G; &longs;it <expan abbr="inquã">inquam</expan> anguli recti D E F, D E G, <lb/> | nea F G; &longs;it <expan abbr="inquã">inquam</expan> anguli recti D E F, D E G, <lb/> |
| tunc tres anguli illius <expan abbr="triãguli">trianguli</expan> <expan abbr="dic&etilde;tur">dicentur</expan> æqua­<lb/> | tunc tres anguli illius <expan abbr="triãguli">trianguli</expan> <expan abbr="dic&etilde;tur">dicentur</expan> æqua­<lb/> |
| les duobus hi&longs;ce rectis, &longs;i tres illi mucrones <lb/> | les duobus hi&longs;ce rectis, &longs;i tres illi mucrones <lb/> |
| trianguli &longs;imul &longs;umpti, & vniti ad punctum <lb/> | trianguli &longs;imul &longs;umpti, & vniti ad punctum <lb/> |
| E, ad quod duo <expan abbr="quoq;">quoque</expan> mucrones angulorum <lb/> | E, ad quod duo <expan abbr="quoq;">quoque</expan> mucrones angulorum <lb/> |
| <figure id="id.009.01.040.3.jpg" xlink:href="009/01/040/3.jpg" place="text"/><lb/> | <figure id="id.009.01.040.3.jpg" place="text" xlink:href="009/01/040/3.jpg"/><lb/> |
| rectorum coeunt, congruent omnino duobus <lb/> | rectorum coeunt, congruent omnino duobus <lb/> |
| prædictis angulis rectis, &longs;iue duobus illis mu­<lb/> | prædictis angulis rectis, &longs;iue duobus illis mu­<lb/> |
| cronibus angulorum rectorum, &longs;iue con&longs;ti­<lb/> | cronibus angulorum rectorum, &longs;iue con&longs;ti­<lb/> |
| |
| angulum F E H, & &longs;i ibi iuxta ip&longs;um apponeretur mucro A, faceret angulum <lb/> | angulum F E H, & &longs;i ibi iuxta ip&longs;um apponeretur mucro A, faceret angulum <lb/> |
| H E I. quem &longs;i deinceps &longs;ub&longs;equetur reliquus angulus C, con&longs;titueret <expan abbr="reli-quũ">reli­<lb/> | H E I. quem &longs;i deinceps &longs;ub&longs;equetur reliquus angulus C, con&longs;titueret <expan abbr="reli-quũ">reli­<lb/> |
| quum</expan> angulum I E G. iam, vt vides, illi tres anguli ad E, tran&longs;lati, &longs;unt æqua­<lb/> | quum</expan> angulum I E G. iam, vt vides, illi tres anguli ad E, tran&longs;lati, &longs;unt æqua­<lb/> |
| les duobus rectis ad E, pariter con&longs;titutis, cum illi tres fiant partes duorum <lb/> | les duobus rectis ad E, pariter con&longs;titutis, cum illi tres fiant partes duorum <lb/>rectorúm, vel quia occupant idem &longs;patium, vel eandem lineam rectam F E G, <lb/> |
| rectorú, vel quia occupant idem &longs;patium, vel eandem lineam rectam F E G, <lb/> | |
| con&longs;tituant. </s> | con&longs;tituant. </s> |
| <s id="id.000788">habet igitur omne triangulum &longs;iue &etail;quilaterum, &longs;iue &longs;calenum, <lb/> | <s id="s.000783">habet igitur omne triangulum &longs;iue &etail;quilaterum, &longs;iue &longs;calenum, <lb/> |
| &longs;iue I&longs;o&longs;celes mirabilem hanc proprietatem, vt tres anguli, cuiu&longs;uis trian­<lb/> | &longs;iue I&longs;o&longs;celes mirabilem hanc proprietatem, vt tres anguli, cuiu&longs;uis trian­<lb/> |
| guli &longs;int æquales duobus rectis angulis. </s> | guli &longs;int æquales duobus rectis angulis. </s> |
| <s id="id.000789">Quam demon&longs;trationem primi om­<lb/> | <s id="s.000784">Quam demon&longs;trationem primi om­<lb/> |
| nium Pythagorici perfecerunt, vt refert Proclus ad 32. primi Elem. Eucli­<lb/> | nium Pythagorici perfecerunt, vt refert Proclus ad 32. primi Elem. Eucli­<lb/> |
| des deinde ibidem aliter, quam Pythagorici idem demon&longs;trauit. </s> | des deinde ibidem aliter, quam Pythagorici idem demon&longs;trauit. </s> |
| <s id="id.000790">Quod &longs;i <lb/> | <s id="s.000785">Quod &longs;i <lb/> |
| quis huius rei <expan abbr="experi&etilde;tiam">experientiam</expan> aliquam velit; etiam&longs;i non exactam (cum æqua­<lb/> | quis huius rei <expan abbr="experi&etilde;tiam">experientiam</expan> aliquam velit; etiam&longs;i non exactam (cum æqua­<lb/> |
| litas mathematica non cadat &longs;ub &longs;en&longs;um, &longs;ed &longs;ola intelligentia percipiatur, <lb/>quippe quæ in materia intelligibili, non autem &longs;en&longs;ibili ver&longs;atur, & cuius <pb xlink:href="009/01/041.jpg" pagenum="41" />æqualitas nullum di&longs;crimen, quantumuis minimum admittat, quod &longs;en&longs;ui <lb/> | litas mathematica non cadat &longs;ub &longs;en&longs;um, &longs;ed &longs;ola intelligentia percipiatur, <lb/>quippe quæ in materia intelligibili, non autem &longs;en&longs;ibili ver&longs;atur, & cuius <pb pagenum="41" xlink:href="009/01/041.jpg"/>æqualitas nullum di&longs;crimen, quantumuis minimum admittat, quod &longs;en&longs;ui <lb/> |
| vitare ob &longs;ui imperfectionem non licet: vnde inter eæ, quæ mathematicè <lb/> | vitare ob &longs;ui imperfectionem non licet: vnde inter eæ, quæ mathematicè <lb/> |
| &longs;unt æqualia, nullus intellectus aliquam valeat reperire differentiam) &longs;umat <lb/> | &longs;unt æqualia, nullus intellectus aliquam valeat reperire differentiam) &longs;umat <lb/> |
| inquam triangulum quodpiam materiale, vt ex charta, quantum fieri po­<lb/>te&longs;t perfectum, deinde ducat lineam vnam perpendicularem &longs;uper aliam, <lb/> | inquam triangulum quodpiam materiale, vt ex charta, quantum fieri po­<lb/>te&longs;t perfectum, deinde ducat lineam vnam perpendicularem &longs;uper aliam, <lb/> |
| quæ &longs;cilicet faciat, cum illa duos angulos rectos. </s> | quæ &longs;cilicet faciat, cum illa duos angulos rectos. </s> |
| <s id="id.000791">po&longs;tea ab&longs;cindat tres an­<lb/> | <s id="s.000786">po&longs;tea ab&longs;cindat tres an­<lb/> |
| gulos trianguli materialis, <expan abbr="eos&qacute;">eosque</expan>; ita &longs;imul componat, vt mucrones illorum <lb/> | gulos trianguli materialis, <expan abbr="eos&qacute;">eosque</expan>; ita &longs;imul componat, vt mucrones illorum <lb/> |
| &longs;int vniti, & contigui ad punctum lineæ perpendicularis cum altera, vti e&longs;t <lb/>in &longs;uperiori figura punctum E; & illicò apparebit tres illos angulos mate­<lb/> | &longs;int vniti, & contigui ad punctum lineæ perpendicularis cum altera, vti e&longs;t <lb/>in &longs;uperiori figura punctum E; & illicò apparebit tres illos angulos mate­<lb/> |
| riales obtegere adæquatè totum illud &longs;patium duorum rectorum, quos per­<lb/> | riales obtegere adæquatè totum illud &longs;patium duorum rectorum, quos per­<lb/> |
| pendicularis con&longs;tituit. </s> | pendicularis con&longs;tituit. </s> |
| <s id="id.000792">Hoc autem experiri poteris in diuer&longs;is admodum <lb/> | <s id="s.000787">Hoc autem experiri poteris in diuer&longs;is admodum <lb/> |
| triangulis Scalenis, Rectangulis, I&longs;o&longs;celibus, Aequilateris, &c. </s> | triangulis Scalenis, Rectangulis, I&longs;o&longs;celibus, Aequilateris, &c. </s> |
| <s id="id.000793">non &longs;ine de­<lb/> | <s id="s.000788">non &longs;ine de­<lb/> |
| lectatione, atque hic e&longs;t &longs;en&longs;us illorum verborum, omnis triangulus habet <lb/> | lectatione, atque hic e&longs;t &longs;en&longs;us illorum verborum, omnis triangulus habet <lb/> |
| tres &etail;quales duobus rectis. </s> | tres &etail;quales duobus rectis. </s> |
| <s id="id.000794">Ab&longs;tineo à demon&longs;trationibus geometricis, quo­<lb/> | <s id="s.000789">Ab&longs;tineo à demon&longs;trationibus geometricis, quo­<lb/> |
| niam ij, qui Mathematicis &longs;unt imbuti, no&longs;tra hac opera parum indigent. <lb/> | niam ij, qui Mathematicis &longs;unt imbuti, no&longs;tra hac opera parum indigent. <lb/> |
| </s> | </s> |
| <s id="id.000795">&longs;i quis tamen volet, con&longs;ulat 32. primi Elem. <!-- KEEP S--></s> | <s id="s.000790">&longs;i quis tamen volet, con&longs;ulat 32. primi Elem. <!-- KEEP S--></s> |
| <s id="id.000796">Ex hac igitur declaratione <lb/> | <s id="s.000791">Ex hac igitur declaratione <lb/> |
| licet cogno&longs;cere nonnullos ageometretos locum hunc, & &longs;imiles &longs;ub&longs;equen­<lb/> | licet cogno&longs;cere nonnullos ageometretos locum hunc, & &longs;imiles &longs;ub&longs;equen­<lb/> |
| tes non &longs;atis intelligere, dicentes, nihil aliud verba illa Ari&longs;t. velle &longs;ignifi­<lb/> | tes non &longs;atis intelligere, dicentes, nihil aliud verba illa Ari&longs;t. velle &longs;ignifi­<lb/> |
| care, quàm omnem triangulum habere tres angulos, quod inquiunt, noti&longs;­<lb/> | care, quàm omnem triangulum habere tres angulos, quod inquiunt, noti&longs;­<lb/> |
| &longs;imum e&longs;t. </s> | &longs;imum e&longs;t. </s> |
| <s id="id.000797">Sed &longs;i incidant in &longs;equentia; æquales duobus rectis, tunc, cum <lb/> | <s id="s.000792">Sed &longs;i incidant in &longs;equentia; æquales duobus rectis, tunc, cum <lb/> |
| hæc non intelligant, ab&longs;tinent etiam à priorum declaratione, quibus præ­<lb/> | hæc non intelligant, ab&longs;tinent etiam à priorum declaratione, quibus præ­<lb/> |
| mi&longs;&longs;is facile e&longs;t Ari&longs;t. textum percipere. </s> | mi&longs;&longs;is facile e&longs;t Ari&longs;t. textum percipere. </s> |
| <s id="id.000798">&longs;it A, duo recti, ide&longs;t, duo anguli <lb/> | <s id="s.000793">&longs;it A, duo recti, ide&longs;t, duo anguli <lb/> |
| recti &longs;int pa&longs;&longs;io demon&longs;tranda, in quo B, triangulus, in quo C, æquicrus. </s> | recti &longs;int pa&longs;&longs;io demon&longs;tranda, in quo B, triangulus, in quo C, æquicrus. </s> |
| <s id="id.000799">ip&longs;i <lb/> | <s id="s.000794">ip&longs;i <lb/> |
| itaque C, ide&longs;t triangulo æquicru&longs;i, ine&longs;t A, &longs;cilicet duo recti, hoc e&longs;t, ine&longs;t <lb/> | itaque C, ide&longs;t triangulo æquicru&longs;i, ine&longs;t A, &longs;cilicet duo recti, hoc e&longs;t, ine&longs;t <lb/> |
| æquicru&longs;i hæc, pa&longs;&longs;io habere tres angulos æquales duobus rectis per B, ide&longs;t <lb/> | æquicru&longs;i hæc, pa&longs;&longs;io habere tres angulos æquales duobus rectis per B, ide&longs;t <lb/> |
| per <expan abbr="triangulũ">triangulum</expan> vniuer&longs;ale, quia hæc proprietas e&longs;t trianguli propria, & <expan abbr="cõpe-tit">compe­<lb/> | per <expan abbr="triangulũ">triangulum</expan> vniuer&longs;ale, quia hæc proprietas e&longs;t trianguli propria, & <expan abbr="cõpe-tit">compe­<lb/> |
| tit</expan> æquicru&longs;i, non vt æquicrus e&longs;t, &longs;ed, vt triangulum e&longs;t; quare B, non erit <lb/> | tit</expan> æquicru&longs;i, non vt æquicrus e&longs;t, &longs;ed, vt triangulum e&longs;t; quare B, non erit <lb/> |
| medium ip&longs;ius A, quia prædicta pa&longs;&longs;io. </s> | medium ip&longs;ius A, quia prædicta pa&longs;&longs;io. </s> |
| <s id="id.000800">A, non competit triangulo B, per <lb/> | <s id="s.000795">A, non competit triangulo B, per <lb/> |
| aliud, &longs;ed per &longs;e, de eo enim primo, & per &longs;e demon&longs;tratur in 32. primi Elem. <lb/> | aliud, &longs;ed per &longs;e, de eo enim primo, & per &longs;e demon&longs;tratur in 32. primi Elem. <lb/> |
| optimè Aegydius, & Niphus in hunc locum.</s> | optimè Aegydius, & Niphus in hunc locum.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000801"><arrow.to.target n="marg11"/></s> | <s id="s.000796"><arrow.to.target n="marg11"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000802"><margin.target id="marg11"/>11</s> | <s id="s.000797"><margin.target id="marg11"/>11</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000803">Ex eodem cap. <emph type="italics"/>(Non oportet autem exi&longs;timare penes id, quod exponimus, ali­<lb/> | <s id="s.000798">Ex eodem cap. <emph type="italics"/>(Non oportet autem exi&longs;timare penes id, quod exponimus, ali­<lb/> |
| quid accidere ab&longs;urdum, nihil enim vtimur eo, quod e&longs;t hoc aliquid e&longs;&longs;e. </s> | quid accidere ab&longs;urdum, nihil enim vtimur eo, quod e&longs;t hoc aliquid e&longs;&longs;e. </s> |
| <s id="id.000804">&longs;ed &longs;icut <lb/> | <s id="s.000799">&longs;ed &longs;icut <lb/> |
| Geometra pedalem, & rectam hanc, & &longs;ine latitudine dicit, quæ non &longs;unt. </s> | Geometra pedalem, & rectam hanc, & &longs;ine latitudine dicit, quæ non &longs;unt. </s> |
| <s id="id.000805">verum <lb/> | <s id="s.000800">verum <lb/> |
| non &longs;ic vtitur, tanquam ex his ratiocinans)<emph.end type="italics"/> Quoniam Ari&longs;t. in exemplis affert <lb/> | non &longs;ic vtitur, tanquam ex his ratiocinans)<emph.end type="italics"/> Quoniam Ari&longs;t. in exemplis affert <lb/> |
| pro rebus characteres, A, B, C, po&longs;&longs;et qui&longs;piam &longs;u&longs;picari aliquod propterea <lb/> | pro rebus characteres, A, B, C, po&longs;&longs;et qui&longs;piam &longs;u&longs;picari aliquod propterea <lb/> |
| ab&longs;urdum accidere: cui &longs;u&longs;picioni Ari&longs;t. re&longs;pondet, dicens, nihil inde ab&longs;ur­<lb/> | ab&longs;urdum accidere: cui &longs;u&longs;picioni Ari&longs;t. re&longs;pondet, dicens, nihil inde ab&longs;ur­<lb/> |
| |
| etiam Geometræ faciunt, qui lineam, quæ pedalis non e&longs;t, pedalem, & quæ <lb/> | etiam Geometræ faciunt, qui lineam, quæ pedalis non e&longs;t, pedalem, & quæ <lb/> |
| non e&longs;t recta, rectam; & quæ lata e&longs;t, non latam, &longs;upponunt, & tamen nihil <lb/> | non e&longs;t recta, rectam; & quæ lata e&longs;t, non latam, &longs;upponunt, & tamen nihil <lb/> |
| inde ab&longs;urdi contingit. </s> | inde ab&longs;urdi contingit. </s> |
| <s id="id.000806">Ex quibus intelligimus per lineas illas &longs;en&longs;ibiles, & <lb/> | <s id="s.000801">Ex quibus intelligimus per lineas illas &longs;en&longs;ibiles, & <lb/> |
| phy&longs;icas, quas Geometræ in &longs;uis figuris ducunt, intelligendas e&longs;&longs;e lineas ve­<lb/> | phy&longs;icas, quas Geometræ in &longs;uis figuris ducunt, intelligendas e&longs;&longs;e lineas ve­<lb/> |
| rè Mathematicas omni latitudine carentes; vtitur enim inquit Ari&longs;t. <!-- REMOVE S-->Geo­<lb/> | rè Mathematicas omni latitudine carentes; vtitur enim inquit Ari&longs;t. <!-- REMOVE S-->Geo­<lb/> |
| metra lineis phy&longs;icis, non tanquam phy&longs;icis, nec de eis tanquam de phy&longs;icis <lb/> | metra lineis phy&longs;icis, non tanquam phy&longs;icis, nec de eis tanquam de phy&longs;icis <lb/> |
| lineis ratiocinatur, &longs;ed ijs vtitur tanquam verè mathematicis. </s> | lineis ratiocinatur, &longs;ed ijs vtitur tanquam verè mathematicis. </s> |
| <s id="id.000807">idem dicen­<lb/>dum e&longs;t de &longs;uperficiebus, necnon de corporibus, quæ ijdem Geometræ de­<lb/> | <s id="s.000802">idem dicen­<lb/>dum e&longs;t de &longs;uperficiebus, necnon de corporibus, quæ ijdem Geometræ de­<lb/> |
| &longs;cribunt, vt per ea, de verè mathematicis di&longs;currant.</s> | &longs;cribunt, vt per ea, de verè mathematicis di&longs;currant.</s> |
| </p> | </p> |
| </chap> | </chap> |
| <pb xlink:href="009/01/042.jpg" pagenum="42" /> | <pb pagenum="42" xlink:href="009/01/042.jpg"/> |
| <chap> | <chap> |
| <p type="head"> | <p type="head"> |
| <s id="id.000808"><emph type="italics"/>Ex Libro &longs;ecundo Priorum.<emph.end type="italics"/></s> | <s id="s.000803"><emph type="italics"/>Ex Libro &longs;ecundo Priorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000809"><arrow.to.target n="marg12"/></s> | <s id="s.000804"><arrow.to.target n="marg12"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000810"><margin.target id="marg12"/>12</s> | <s id="s.000805"><margin.target id="marg12"/>12</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000811">Ex cap. 21. <emph type="italics"/>(Quod faciunt, qui coalternas putant &longs;cribere, latent enim ip&longs;e<lb/>&longs;e ip&longs;os talia accipientes, quæ non est po&longs;&longs;ibile monstrare uon exi&longs;tentibus <lb/> | <s id="s.000806">Ex cap. 21. <emph type="italics"/>(Quod faciunt, qui coalternas putant &longs;cribere, latent enim ip&longs;e<lb/>&longs;e ip&longs;os talia accipientes, quæ non est po&longs;&longs;ibile monstrare uon exi&longs;tentibus <lb/> |
| coalternis)<emph.end type="italics"/> Vult Ari&longs;t. exemplo mathematico explicare, quid &longs;it pe­<lb/> | coalternis)<emph.end type="italics"/> Vult Ari&longs;t. exemplo mathematico explicare, quid &longs;it pe­<lb/> |
| titio principij. </s> | titio principij. </s> |
| <s id="id.000812">vbi per coalternas intelligit parallelas lineas, vox <lb/> | <s id="s.000807">vbi per coalternas intelligit parallelas lineas, vox <lb/> |
| enim græca <foreign lang="greek">parallhlos,</foreign> idem &longs;ignificat, ac mutuus, & coalternus. </s> | enim græca <foreign lang="greek">parallhlos,</foreign> idem &longs;ignificat, ac mutuus, & coalternus. </s> |
| <s id="id.000813">quoad <lb/> | <s id="s.000808">quoad <lb/> |
| exempli explicationem vtor figura textibus apponi &longs;olita, quæ e&longs;t præ&longs;ens. <lb/> | exempli explicationem vtor figura textibus apponi &longs;olita, quæ e&longs;t præ&longs;ens. <lb/> |
| <figure id="id.009.01.042.1.jpg" xlink:href="009/01/042/1.jpg" place="text"/><lb/> | <figure id="id.009.01.042.1.jpg" place="text" xlink:href="009/01/042/1.jpg"/><lb/> |
| probat Euclides in 28. primi Elem. quod &longs;i <lb/> | probat Euclides in 28. primi Elem. quod &longs;i <lb/> |
| linea recta quædam, vti E F, cadens &longs;uper <lb/> | linea recta quædam, vti E F, cadens &longs;uper <lb/> |
| duas rectas, vti &longs;unt A B, C D, fecerit angu­<lb/> | duas rectas, vti &longs;unt A B, C D, fecerit angu­<lb/> |
| |
| duos, nimirum B G H, G H C, hi enim &longs;unt <lb/> | duos, nimirum B G H, G H C, hi enim &longs;unt <lb/> |
| <expan abbr="quoq;">quoque</expan> alterni; probat inquam has duas li­<lb/> | <expan abbr="quoq;">quoque</expan> alterni; probat inquam has duas li­<lb/> |
| neas A B, C D, e&longs;&longs;e inuicem parallelas. </s> | neas A B, C D, e&longs;&longs;e inuicem parallelas. </s> |
| <s id="id.000814">Iam &longs;i quis vellet probare, &longs;e duas <lb/> | <s id="s.000809">Iam &longs;i quis vellet probare, &longs;e duas <lb/> |
| parallelas duxi&longs;&longs;e, hac ratione, quia &longs;cilicet faciunt prædictos angulos al­<lb/> | parallelas duxi&longs;&longs;e, hac ratione, quia &longs;cilicet faciunt prædictos angulos al­<lb/> |
| ternos æquales; & probaret facere angulos alternos æquales, quia &longs;unt pa­<lb/> | ternos æquales; & probaret facere angulos alternos æquales, quia &longs;unt pa­<lb/> |
| rallelæ, hic peteret principium, ide&longs;t, illud, quod principio <expan abbr="probandũ">probandum</expan> erat, <lb/> | rallelæ, hic peteret principium, ide&longs;t, illud, quod principio <expan abbr="probandũ">probandum</expan> erat, <lb/> |
| afferret pro ratione, & cau&longs;a, quod dicitur peti principium, quia tunc pe­<lb/> | afferret pro ratione, & cau&longs;a, quod dicitur peti principium, quia tunc pe­<lb/> |
| timus, vt concedatur nobis, id, quod principio, & primo omnium demon­<lb/> | timus, vt concedatur nobis, id, quod principio, & primo omnium demon­<lb/> |
| &longs;trare propo&longs;ueramus. </s> | &longs;trare propo&longs;ueramus. </s> |
| <s id="id.000815">aduerte, quod characteres, qui &longs;unt in &longs;equentibus <lb/> | <s id="s.000810">aduerte, quod characteres, qui &longs;unt in &longs;equentibus <lb/> |
| verbis huius loci, non appellant characteres figuræ appo&longs;itæ; in quo quidam <lb/> | verbis huius loci, non appellant characteres figuræ appo&longs;itæ; in quo quidam <lb/> |
| decepti, nullo pacto poterant locum hunc intelligere.</s> | decepti, nullo pacto poterant locum hunc intelligere.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000816"><arrow.to.target n="marg13"/></s> | <s id="s.000811"><arrow.to.target n="marg13"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000817"><margin.target id="marg13"/>13</s> | <s id="s.000812"><margin.target id="marg13"/>13</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000818">Ex cap. 22. lib. 2. Priorum <emph type="italics"/>(Vt &longs;i volens mon&longs;trare, quod diameter e&longs;t incom­<lb/> | <s id="s.000813">Ex cap. 22. lib. 2. Priorum <emph type="italics"/>(Vt &longs;i volens mon&longs;trare, quod diameter e&longs;t incom­<lb/> |
| men&longs;. argueret Zenonis rationem, quod non e&longs;t moueri)<emph.end type="italics"/> &longs;uperius &longs;ecto 3. lib. 1. <lb/> | men&longs;. argueret Zenonis rationem, quod non e&longs;t moueri)<emph.end type="italics"/> &longs;uperius &longs;ecto 3. lib. 1. <lb/> |
| fusè explicauimus hanc a&longs;ymmetriam, quam &longs;i quis vellet demon&longs;trare ea­<lb/> | fusè explicauimus hanc a&longs;ymmetriam, quam &longs;i quis vellet demon&longs;trare ea­<lb/> |
| dem illa ratione, qua Zeno motum impugnabat, quia &longs;cilicet <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan> com­<lb/> | dem illa ratione, qua Zeno motum impugnabat, quia &longs;cilicet <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan> com­<lb/>munis, quæ debet vtramque, quantitatem men&longs;urare, debet in men&longs;urando <lb/>infinitas partes pertran&longs;ire, nimirum medietates medietatum in infinitum, <lb/> |
| munis, quæ debet vtramq, quantitatem men&longs;urare, debet in men&longs;urando <lb/>infinitas partes pertran&longs;ire, nimirum medietates medietatum in infinitum, <lb/> | |
| e&longs;t autem impo&longs;&longs;ibile pertran&longs;ire infinitas huiu&longs;modi partes, & propterea <lb/> | e&longs;t autem impo&longs;&longs;ibile pertran&longs;ire infinitas huiu&longs;modi partes, & propterea <lb/> |
| non poterit metiri, <expan abbr="neq;">neque</expan> vnam, <expan abbr="neq;">neque</expan> alteram ex <expan abbr="quãtitatibus">quantitatibus</expan>, quæ putaban­<lb/> | non poterit metiri, <expan abbr="neq;">neque</expan> vnam, <expan abbr="neq;">neque</expan> alteram ex <expan abbr="quãtitatibus">quantitatibus</expan>, quæ putaban­<lb/> |
| tur commen&longs;urabiles, afferret hic, inquit Ari&longs;t. non cau&longs;am pro cau&longs;a.</s> | tur commen&longs;urabiles, afferret hic, inquit Ari&longs;t. non cau&longs;am pro cau&longs;a.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000819"><arrow.to.target n="marg14"/></s> | <s id="s.000814"><arrow.to.target n="marg14"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000820"><margin.target id="marg14"/>14</s> | <s id="s.000815"><margin.target id="marg14"/>14</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000821">Ex eodem cap. <emph type="italics"/>(Quoniam idem <expan abbr="vtiq;">vtique</expan> fal&longs;um per plures petitiones accidere <lb/> | <s id="s.000816">Ex eodem cap. <emph type="italics"/>(Quoniam idem <expan abbr="vtiq;">vtique</expan> fal&longs;um per plures petitiones accidere <lb/> |
| nihil forta&longs;&longs;e inconueniens, veluti coalternas coincidere; & &longs;i maior e&longs;t extrin&longs;ecus <lb/> | nihil forta&longs;&longs;e inconueniens, veluti coalternas coincidere; & &longs;i maior e&longs;t extrin&longs;ecus <lb/> |
| angulus intrin&longs;eco; & &longs;i triangulus habet plures rectos duobus)<emph.end type="italics"/> per plures po&longs;i­<lb/> | angulus intrin&longs;eco; & &longs;i triangulus habet plures rectos duobus)<emph.end type="italics"/> per plures po&longs;i­<lb/> |
| tiones &longs;ubaudi fal&longs;as. </s> | tiones &longs;ubaudi fal&longs;as. </s> |
| <s id="id.000822">per coalternas intellige lineas æquidi&longs;tantes, &longs;eu pa­<lb/> | <s id="s.000817">per coalternas intellige lineas æquidi&longs;tantes, &longs;eu pa­<lb/> |
| rallelas, vt in &longs;uperiori cap. monuimus. </s> | rallelas, vt in &longs;uperiori cap. monuimus. </s> |
| <s id="id.000823">Cæterum Euclides propo&longs;. </s> | <s id="s.000818">Cæterum Euclides propo&longs;. </s> |
| <s id="id.000824">28. pri­<lb/> | <s id="s.000819">28. pri­<lb/> |
| mi Elem. o&longs;tendit, quod &longs;i fuerint duæ parallelæ veluti in præcedenti figura, <lb/> | mi Elem. o&longs;tendit, quod &longs;i fuerint duæ parallelæ veluti in præcedenti figura, <lb/> |
| A B, C D, &longs;uper quas alia recta E F, incidat, nece&longs;&longs;ario faciet angulum ex­<lb/> | A B, C D, &longs;uper quas alia recta E F, incidat, nece&longs;&longs;ario faciet angulum ex­<lb/> |
| trin&longs;ecum E G B, v. <!-- REMOVE S-->g. <!-- REMOVE S-->æqualem interno, & oppo&longs;ito, & ad ea&longs;dem partes, <lb/> | trin&longs;ecum E G B, v. <!-- REMOVE S-->g. <!-- REMOVE S-->æqualem interno, & oppo&longs;ito, & ad ea&longs;dem partes, <lb/> |
| angulo videlicet G H D. &longs;i ergo inquit Ari&longs;t &longs;upponamus i&longs;tud fal&longs;um, an­<lb/> | angulo videlicet G H D. &longs;i ergo inquit Ari&longs;t &longs;upponamus i&longs;tud fal&longs;um, an­<lb/> |
| gulum &longs;cilicet E G B, externum e&longs;&longs;e maiorem angulo interno G H D, &longs;equi­<lb/> | gulum &longs;cilicet E G B, externum e&longs;&longs;e maiorem angulo interno G H D, &longs;equi­<lb/> |
| tur etiam fal&longs;um, videlicet lineas <expan abbr="æquidi&longs;tãtes">æquidi&longs;tantes</expan> A B, C D, concurrere. </s> | tur etiam fal&longs;um, videlicet lineas <expan abbr="æquidi&longs;tãtes">æquidi&longs;tantes</expan> A B, C D, concurrere. </s> |
| <s id="id.000825">& pro­<lb/>batur con&longs;equentia hoc modo, quia &longs;i angulus E G B, maior e&longs;t angulo <pb xlink:href="009/01/043.jpg" pagenum="43" />G H D, appo&longs;ito <expan abbr="vtiq;">vtique</expan> communi angulo B G H, erant primum, duo anguli <lb/> | <s id="s.000820">& pro­<lb/>batur con&longs;equentia hoc modo, quia &longs;i angulus E G B, maior e&longs;t angulo <pb pagenum="43" xlink:href="009/01/043.jpg"/>G H D, appo&longs;ito <expan abbr="vtiq;">vtique</expan> communi angulo B G H, erant primum, duo anguli <lb/> |
| E G B, B G H, maiores, quam &longs;int duo B G H, G H D, quia &longs;i inæqualibus <lb/> | E G B, B G H, maiores, quam &longs;int duo B G H, G H D, quia &longs;i inæqualibus <lb/> |
| æqualia addantur, tota erunt inæqualia, vt prius per 4, axioma: hoc loco <lb/> | æqualia addantur, tota erunt inæqualia, vt prius per 4, axioma: hoc loco <lb/> |
| communis angulus additur &longs;emel maiori angulo, & &longs;emel minori; & ideo <lb/> | communis angulus additur &longs;emel maiori angulo, & &longs;emel minori; & ideo <lb/> |
| totum illud, in quo e&longs;t maior angulus, adhuc maius e&longs;t altero toto, in quo <lb/> | totum illud, in quo e&longs;t maior angulus, adhuc maius e&longs;t altero toto, in quo <lb/> |
| minor angulus continetur. </s> | minor angulus continetur. </s> |
| <s id="id.000826">at illi duo E G B, B G H, per 13. primi, &longs;unt <lb/> | <s id="s.000821">at illi duo E G B, B G H, per 13. primi, &longs;unt <lb/> |
| æquales duobus rectis angulis, ergo duo <expan abbr="quoq;">quoque</expan> recti erunt maiores duobus <lb/> | æquales duobus rectis angulis, ergo duo <expan abbr="quoq;">quoque</expan> recti erunt maiores duobus <lb/> |
| internis B G H, D H G, &longs;iue hi duo interni erunt minores duobus rectis. <lb/> | internis B G H, D H G, &longs;iue hi duo interni erunt minores duobus rectis. <lb/> |
| </s> | </s> |
| <s id="id.000827">At quando hi duo interni &longs;unt minores duobus rectis, tunc lineæ A B, C D, <lb/> | <s id="s.000822">At quando hi duo interni &longs;unt minores duobus rectis, tunc lineæ A B, C D, <lb/> |
| &longs;unt concurrentes, &longs;i protrahantur ad partes prædictorum <expan abbr="angulorũ">angulorum</expan>. </s> | &longs;unt concurrentes, &longs;i protrahantur ad partes prædictorum <expan abbr="angulorũ">angulorum</expan>. </s> |
| <s id="id.000828">quod <lb/> | <s id="s.000823">quod <lb/> |
| P. <!-- REMOVE S-->Clauius luculenti, & hactenus de&longs;iderata demon&longs;tratione ad 28. primi <lb/> | P. <!-- REMOVE S-->Clauius luculenti, & hactenus de&longs;iderata demon&longs;tratione ad 28. primi <lb/> |
| demon&longs;trauit. </s> | demon&longs;trauit. </s> |
| <s id="id.000829"><expan abbr="Atq;">Atque</expan> hoc pacto ex prima fal&longs;a &longs;uppo&longs;itione, nimirum angu­<lb/> | <s id="s.000824"><expan abbr="Atq;">Atque</expan> hoc pacto ex prima fal&longs;a &longs;uppo&longs;itione, nimirum angu­<lb/> |
| lum illum externum e&longs;&longs;e maiorem interno, & oppo&longs;ito; &longs;equitur fal&longs;um, ni­<lb/> | lum illum externum e&longs;&longs;e maiorem interno, & oppo&longs;ito; &longs;equitur fal&longs;um, ni­<lb/> |
| mirum lineas parallelas concurrere.</s> | mirum lineas parallelas concurrere.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000830">Præterea &longs;i &longs;upponamus aliam fal&longs;itatem, &longs;cilicet triangulum habere tres <lb/> | <s id="s.000825">Præterea &longs;i &longs;upponamus aliam fal&longs;itatem, &longs;cilicet triangulum habere tres <lb/> |
| angulos maiores duobus rectis, &longs;equetur eadem iterum fal&longs;itas, &longs;cilicet pa­<lb/> | angulos maiores duobus rectis, &longs;equetur eadem iterum fal&longs;itas, &longs;cilicet pa­<lb/> |
| <figure id="id.009.01.043.1.jpg" xlink:href="009/01/043/1.jpg" place="text"/><lb/> | <figure id="id.009.01.043.1.jpg" place="text" xlink:href="009/01/043/1.jpg"/><lb/> |
| rallelas coincidere, & probatur &longs;ic; &longs;int enim <lb/> | rallelas coincidere, & probatur &longs;ic; &longs;int enim <lb/> |
| <expan abbr="triãguli">trianguli</expan> A B C, tres anguli maiores, quam duo <lb/> | <expan abbr="triãguli">trianguli</expan> A B C, tres anguli maiores, quam duo <lb/> |
| recti anguli, & per punctum C, ducta &longs;it recta <lb/> | recti anguli, & per punctum C, ducta &longs;it recta <lb/> |
| |
| continet, quorum alter, &longs;cilicet A C D, e&longs;t æqualis angulo A. erit idem to­<lb/> | continet, quorum alter, &longs;cilicet A C D, e&longs;t æqualis angulo A. erit idem to­<lb/> |
| talis angulus B C D, æqualis duobus angulis A, & A C B, trianguli propo&longs;i­<lb/> | talis angulus B C D, æqualis duobus angulis A, & A C B, trianguli propo&longs;i­<lb/> |
| ti. </s> | ti. </s> |
| <s id="id.000831">ergo totus i&longs;te angulus B C D, &longs;imul cum reliquo <expan abbr="triãguli">trianguli</expan> angulo B. con­<lb/> | <s id="s.000826">ergo totus i&longs;te angulus B C D, &longs;imul cum reliquo <expan abbr="triãguli">trianguli</expan> angulo B. con­<lb/> |
| &longs;tabit compo&longs;itionem ex tribus angulis trianguli dati: & con&longs;equenter ta­<lb/> | &longs;tabit compo&longs;itionem ex tribus angulis trianguli dati: & con&longs;equenter ta­<lb/> |
| lis compo&longs;itio trium angulorum erit maior, quam &longs;int duo anguli recti. </s> | lis compo&longs;itio trium angulorum erit maior, quam &longs;int duo anguli recti. </s> |
| <s id="id.000832">ex <lb/> | <s id="s.000827">ex <lb/> |
| quo &longs;equitur duas rectas B A, C D, &longs;uper quas cadit linea B C, faciens duos <lb/> | quo &longs;equitur duas rectas B A, C D, &longs;uper quas cadit linea B C, faciens duos <lb/> |
| angulos internos, & ad ea&longs;dem partes, &longs;cilicet A B D, maiores duobus re­<lb/> | angulos internos, & ad ea&longs;dem partes, &longs;cilicet A B D, maiores duobus re­<lb/> |
| ctis non e&longs;&longs;e parallelas, &longs;ed concurrentes (vt patet ex nuper citata demon­<lb/> | ctis non e&longs;&longs;e parallelas, &longs;ed concurrentes (vt patet ex nuper citata demon­<lb/> |
| &longs;tratione P. Clauij) quod fal&longs;um e&longs;t. </s> | &longs;tratione P. Clauij) quod fal&longs;um e&longs;t. </s> |
| <s id="id.000833">& &longs;equitur ex &longs;ecunda fal&longs;a &longs;uppo&longs;itio­<lb/> | <s id="s.000828">& &longs;equitur ex &longs;ecunda fal&longs;a &longs;uppo&longs;itio­<lb/> |
| ne. </s> | ne. </s> |
| <s id="id.000834">ex quibus textus Ari&longs;t. videtur &longs;atis clarus.</s> | <s id="s.000829">ex quibus textus Ari&longs;t. videtur &longs;atis clarus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000835"><arrow.to.target n="marg15"/></s> | <s id="s.000830"><arrow.to.target n="marg15"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000836"><margin.target id="marg15"/>15</s> | <s id="s.000831"><margin.target id="marg15"/>15</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000837">Ex cap. 26. <emph type="italics"/>(Vt &longs;i A, duo recti, in quo autem P., triangulus, in quo vero C, <lb/>&longs;en&longs;ibilis triangulus, &longs;u&longs;picari <expan abbr="namq;">namque</expan> po&longs;&longs;et aliquis non e&longs;&longs;e C, &longs;ciens, quod omnis <lb/> | <s id="s.000832">Ex cap. 26. <emph type="italics"/>(Vt &longs;i A, duo recti, in quo autem P., triangulus, in quo vero C, <lb/>&longs;en&longs;ibilis triangulus, &longs;u&longs;picari <expan abbr="namq;">namque</expan> po&longs;&longs;et aliquis non e&longs;&longs;e C, &longs;ciens, quod omnis <lb/> |
| triangulus habet duos rectos: quare &longs;imul no&longs;cet, & ignorabit idem. </s> | triangulus habet duos rectos: quare &longs;imul no&longs;cet, & ignorabit idem. </s> |
| <s id="id.000838">no&longs;ce enim <lb/> | <s id="s.000833">no&longs;ce enim <lb/> |
| omnem triangulum, quod duobus rectis, non &longs;implex e&longs;t: &longs;ed hoc quidem eo, quod <lb/> | omnem triangulum, quod duobus rectis, non &longs;implex e&longs;t: &longs;ed hoc quidem eo, quod <lb/> |
| vniuer&longs;alem habet &longs;cientiam: illud autem eo, quod &longs;ingularem. </s> | vniuer&longs;alem habet &longs;cientiam: illud autem eo, quod &longs;ingularem. </s> |
| <s id="id.000839">&longs;ic igitur, vt vni­<lb/> | <s id="s.000834">&longs;ic igitur, vt vni­<lb/> |
| uer&longs;ale nouit C, quod duo recti; vt autem &longs;ingulare non nouit, quare non habebit <lb/> | uer&longs;ale nouit C, quod duo recti; vt autem &longs;ingulare non nouit, quare non habebit <lb/> |
| contrarias)<emph.end type="italics"/> vide, quæ diximus lib. 1. &longs;ecto 3. cap. 1. ex quibus quidquid Ma­<lb/> | contrarias)<emph.end type="italics"/> vide, quæ diximus lib. 1. &longs;ecto 3. cap. 1. ex quibus quidquid Ma­<lb/> |
| thematicum e&longs;t hic, clarum redditur. </s> | thematicum e&longs;t hic, clarum redditur. </s> |
| <s id="id.000840">reliqua verò, quæ ad Logicum &longs;pe­<lb/> | <s id="s.000835">reliqua verò, quæ ad Logicum &longs;pe­<lb/> |
| ctant, huius loci commentatores pro&longs;equuntur.</s> | ctant, huius loci commentatores pro&longs;equuntur.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000841">In cap. 31. de Abductione.<!-- KEEP S--></s> | <s id="s.000836">In cap. 31. de Abductione.<!-- KEEP S--></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000842"><arrow.to.target n="marg16"/></s> | <s id="s.000837"><arrow.to.target n="marg16"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000843"><margin.target id="marg16"/>16</s> | <s id="s.000838"><margin.target id="marg16"/>16</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000844">Notandum hic cum eruditi&longs;&longs;imo Burana, Abductionem hanc, de qua in hoc <lb/> | <s id="s.000839">Notandum hic cum eruditi&longs;&longs;imo Burana, Abductionem hanc, de qua in hoc <lb/> |
| cap. agitur e&longs;&longs;e vocem mathematicam, <expan abbr="cam&qacute;">camque</expan>; Ari&longs;t. quemadmodum multa <lb/> | cap. agitur e&longs;&longs;e vocem mathematicam, <expan abbr="cam&qacute;">eamque</expan>; Ari&longs;t. quemadmodum multa <lb/> |
| alia à Mathematicis mutuatum ad omnes alias &longs;cientias tran&longs;tuli&longs;&longs;e. </s> | alia à Mathematicis mutuatum ad omnes alias &longs;cientias tran&longs;tuli&longs;&longs;e. </s> |
| <s id="id.000845">e&longs;&longs;e <pb xlink:href="009/01/044.jpg" pagenum="44" />autem terminum mathematicum colligitur manife&longs;tè ex Proelo, qui lib. 3. <lb/> | <s id="s.000840">e&longs;&longs;e <pb pagenum="44" xlink:href="009/01/044.jpg"/>autem terminum mathematicum colligitur manife&longs;tè ex Proelo, qui lib. 3. <lb/> |
| in comm. <!-- REMOVE S-->Elem. Euclidis ad primam propo&longs;itionem primi Elementi, pag. <lb/> | in comm. <!-- REMOVE S-->Elem. Euclidis ad primam propo&longs;itionem primi Elementi, pag. <lb/> |
| </s> | </s> |
| <s id="id.000846">121. &longs;ic ait, Abductio verò e&longs;t tran&longs;itus à propo&longs;ito problemate, vel theo­<lb/> | <s id="s.000841">121. &longs;ic ait, Abductio verò e&longs;t tran&longs;itus à propo&longs;ito problemate, vel theo­<lb/> |
| remate ad aliud, quo cognito, aut comparato Propo&longs;itum quoque per&longs;pi­<lb/> | remate ad aliud, quo cognito, aut comparato Propo&longs;itum quoque per&longs;pi­<lb/> |
| cuum e&longs;t. </s> | cuum e&longs;t. </s> |
| <s id="id.000847">Exempli cau&longs;a, cum cubi duplicatio propo&longs;ita e&longs;&longs;et ad inue&longs;ti­<lb/> | <s id="s.000842">Exempli cau&longs;a, cum cubi duplicatio propo&longs;ita e&longs;&longs;et ad inue&longs;ti­<lb/> |
| gandam quæ&longs;tionem in aliud tran&longs;tulere, quod illud propo&longs;itum con&longs;equi­<lb/> | gandam quæ&longs;tionem in aliud tran&longs;tulere, quod illud propo&longs;itum con&longs;equi­<lb/> |
| tur, ad duarum nempe mediarum linearum inuentionem tran&longs;lata e&longs;t quæ­<lb/> | tur, ad duarum nempe mediarum linearum inuentionem tran&longs;lata e&longs;t quæ­<lb/> |
| &longs;tio, & &longs;ic quærebant deinceps, quonam modo datis duabus rectis lineis, <lb/> | &longs;tio, & &longs;ic quærebant deinceps, quonam modo datis duabus rectis lineis, <lb/> |
| duæ mediæ proportionales reperirentur. </s> | duæ mediæ proportionales reperirentur. </s> |
| <s id="id.000848">Primum autem dicunt Hippocra­<lb/> | <s id="s.000843">Primum autem dicunt Hippocra­<lb/> |
| tem Chium pr&etail;dictorum titulorum, Abductionem feci&longs;&longs;e, qui & lunulæ qua­<lb/> | tem Chium pr&etail;dictorum titulorum, Abductionem feci&longs;&longs;e, qui & lunulæ qua­<lb/> |
| dratum fecit æquale, & alia multa in Geometria inuenit. </s> | dratum fecit æquale, & alia multa in Geometria inuenit. </s> |
| <s id="id.000849">hæc Proclus. <!-- KEEP S--></s> | <s id="s.000844">hæc Proclus. <!-- KEEP S--></s> |
| <s id="id.000850">vbi <lb/> | <s id="s.000845">vbi <lb/> |
| non di&longs;&longs;imulandum nos re&longs;titui&longs;&longs;e verbum, Abductionem, cuius loco inter­<lb/> | non di&longs;&longs;imulandum nos re&longs;titui&longs;&longs;e verbum, Abductionem, cuius loco inter­<lb/> |
| pres Procli vtitur inductionis voce, &longs;equuti & rationem, & græcum textum, <lb/> | pres Procli vtitur inductionis voce, &longs;equuti & rationem, & græcum textum, <lb/> |
| qui no&longs;tram hanc expo&longs;itionem euidenter po&longs;tulat, <foreign lang="greek">apagwgh\</foreign> enim valet & <lb/> | qui no&longs;tram hanc expo&longs;itionem euidenter po&longs;tulat, <foreign lang="greek">apagwgh\</foreign> enim valet & <lb/> |
| inductionem, & abductionem, &longs;ed abductio omnino rei propo&longs;itæ quadrat.</s> | inductionem, & abductionem, &longs;ed abductio omnino rei propo&longs;itæ quadrat.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000851">Notandum præterea Hippocratem Chium fui&longs;&longs;e auctorem huius Abdu­<lb/> | <s id="s.000846">Notandum præterea Hippocratem Chium fui&longs;&longs;e auctorem huius Abdu­<lb/> |
| ctionis, <expan abbr="eum&qacute;">eumque</expan>; feci&longs;&longs;e Abductionem à propo&longs;ito Problemate quadrandi cir­<lb/> | ctionis, <expan abbr="eum&qacute;">eumque</expan>; feci&longs;&longs;e Abductionem à propo&longs;ito Problemate quadrandi cir­<lb/> |
| culi, vnde manife&longs;tè apparet, Ari&longs;totelem ex Mathematicis hunc terminum <lb/> | culi, vnde manife&longs;tè apparet, Ari&longs;totelem ex Mathematicis hunc terminum <lb/> |
| mutuò accepi&longs;&longs;e, quandoquidem ex ij&longs;dem accepit etiam exemplum Abdu­<lb/>ctionis Mathematicæ, imò etiam exemplum ip&longs;ius authoris Abductionis <lb/> | mutuò accepi&longs;&longs;e, quandoquidem ex ij&longs;dem accepit etiam exemplum Abdu­<lb/>ctionis Mathematicæ, imò etiam exemplum ip&longs;ius authoris Abductionis <lb/> |
| Mathematicæ. </s> | Mathematicæ. </s> |
| <s id="id.000852">&longs;yllogi&longs;mus autem Hippocratis, quo o&longs;tendebat circuli qua­<lb/> | <s id="s.000847">&longs;yllogi&longs;mus autem Hippocratis, quo o&longs;tendebat circuli qua­<lb/> |
| draturam reducebatur ad has propo&longs;itiones, omnis rectilinea figura qua­<lb/> | draturam reducebatur ad has propo&longs;itiones, omnis rectilinea figura qua­<lb/> |
| dratur, &longs;ed circulus reducitur ad figuram rectilineam, ergo circulus qua­<lb/> | dratur, &longs;ed circulus reducitur ad figuram rectilineam, ergo circulus qua­<lb/> |
| dratur. </s> | dratur. </s> |
| <s id="id.000853">in probatione minoris facta e&longs;t Abductio, cum enim ip&longs;e vellet re­<lb/> | <s id="s.000848">in probatione minoris facta e&longs;t Abductio, cum enim ip&longs;e vellet re­<lb/> |
| ctificare circumferentiam circuli per lunulas, nec valeret, alij per lineam, <lb/> | ctificare circumferentiam circuli per lunulas, nec valeret, alij per lineam, <lb/> |
| quandam quadratricem, vt e&longs;t apud Pappum <expan abbr="Alexandrinũ">Alexandrinum</expan>, & apud P. <!-- REMOVE S-->Cla­<lb/> | quandam quadratricem, vt e&longs;t apud Pappum <expan abbr="Alexandrinũ">Alexandrinum</expan>, & apud P. <!-- REMOVE S-->Cla­<lb/> |
| uium in fine &longs;exti Elem. & alij aliter fru&longs;tra conarentur, facta e&longs;t Abductio <lb/>circa probationem minoris, in qua adhuc Mathematici ver&longs;antur; quæ pro­<lb/> | uium in fine &longs;exti Elem. & alij aliter fru&longs;tra conarentur, facta e&longs;t Abductio <lb/>circa probationem minoris, in qua adhuc Mathematici ver&longs;antur; quæ pro­<lb/> |
| batio, &longs;i tandem inueniri po&longs;&longs;et, mox &longs;equeretur principale <expan abbr="propo&longs;itũ">propo&longs;itum</expan> pro­<lb/> | batio, &longs;i tandem inueniri po&longs;&longs;et, mox &longs;equeretur principale <expan abbr="propo&longs;itũ">propo&longs;itum</expan> pro­<lb/> |
| blema, nimirum circulus quadraretur; vide quæ &longs;crip&longs;imus in cap. 3. Præ­<lb/> | blema, nimirum circulus quadraretur; vide quæ &longs;crip&longs;imus in cap. 3. Præ­<lb/> |
| dicam. <!-- REMOVE S-->de hac re, quia plurimum hunc conferunt. </s> | dicam. <!-- REMOVE S-->de hac re, quia plurimum hunc conferunt. </s> |
| <s id="id.000854">&longs;ed iam ad textus expli­<lb/> | <s id="s.000849">&longs;ed iam ad textus expli­<lb/> |
| cationem veniamus.</s> | cationem veniamus.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000855"><arrow.to.target n="marg17"/></s> | <s id="s.000850"><arrow.to.target n="marg17"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000856"><margin.target id="marg17"/>17</s> | <s id="s.000851"><margin.target id="marg17"/>17</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000857">Ex eodem cap. <emph type="italics"/>(Veluti &longs;i K, e&longs;&longs;et quadrari, in quo autem E, rectilineum, in <lb/> | <s id="s.000852">Ex eodem cap. <emph type="italics"/>(Veluti &longs;i K, e&longs;&longs;et quadrari, in quo autem E, rectilineum, in <lb/> |
| quo verò F, circulus, &longs;i ip&longs;ius E F, vnum &longs;olum e&longs;&longs;et medium, hoc, quod e&longs;t, cum <lb/> | quo verò F, circulus, &longs;i ip&longs;ius E F, vnum &longs;olum e&longs;&longs;et medium, hoc, quod e&longs;t, cum <lb/> |
| lunulis æqualem fieri circulum rectilineo, e&longs;&longs;e po&longs;&longs;et propè ip&longs;um cogno&longs;cere, cum <lb/> | lunulis æqualem fieri circulum rectilineo, e&longs;&longs;e po&longs;&longs;et propè ip&longs;um cogno&longs;cere, cum <lb/> |
| vero B C, neque credibilius &longs;it, quam A C, <expan abbr="neq;">neque</expan> pauca media, non dico Abductio­<lb/> | vero B C, neque credibilius &longs;it, quam A C, <expan abbr="neq;">neque</expan> pauca media, non dico Abductio­<lb/> |
| |
| quod patet ducta &longs;emidiametro H G, perpendiculari ex B C, quæ &longs;uo extre­<lb/> | quod patet ducta &longs;emidiametro H G, perpendiculari ex B C, quæ &longs;uo extre­<lb/> |
| mo puncto G, &longs;ecat bifariam, & <expan abbr="diametrũ">diametrum</expan> B D, & circumferentiam B G C. <lb/> | mo puncto G, &longs;ecat bifariam, & <expan abbr="diametrũ">diametrum</expan> B D, & circumferentiam B G C. <lb/> |
| facto ergo centro G, de&longs;cribatur alter circulus per puncta B C D F, <expan abbr="conne-ctatur&qacute;">conne­<lb/> | facto ergo centro G, de&longs;cribatur alter circulus per puncta B C D F, <expan abbr="conne-ctatur&qacute;">conne­<lb/> |
| ctaturque</expan>; recta G C. in triangulo orthogonio B C D, latus B D, &longs;ubtenditur <pb xlink:href="009/01/045.jpg" pagenum="45" /><figure id="id.009.01.045.1.jpg" xlink:href="009/01/045/1.jpg" place="text"/><lb/> | ctaturque</expan>; recta G C. in triangulo orthogonio B C D, latus B D, &longs;ubtenditur <pb pagenum="45" xlink:href="009/01/045.jpg"/><figure id="id.009.01.045.1.jpg" place="text" xlink:href="009/01/045/1.jpg"/><lb/> |
| angulo recto C, ergo quadratum eius ex corol­<lb/> | angulo recto C, ergo quadratum eius ex corol­<lb/> |
| lario 47. primi, duplum erit quadrati B C, quare <lb/> | lario 47. primi, duplum erit quadrati B C, quare <lb/> |
| etiam circulus B C D F, duplus erit circuli A B­<lb/> | etiam circulus B C D F, duplus erit circuli A B­<lb/> |
| |
| la B A C E, æqualis triangulo B C G, quod trian­<lb/> | la B A C E, æqualis triangulo B C G, quod trian­<lb/> |
| gulum &longs;i per vltimam &longs;ecundi quadretur, erit lu­<lb/> | gulum &longs;i per vltimam &longs;ecundi quadretur, erit lu­<lb/> |
| nula B A C, con&longs;equenter quadrata. </s> | nula B A C, con&longs;equenter quadrata. </s> |
| <s id="id.000858"><expan abbr="hucu&longs;q;">hucu&longs;que</expan> be­<lb/> | <s id="s.000853"><expan abbr="hucu&longs;q;">hucu&longs;que</expan> be­<lb/> |
| nè procedit Hippocrates. <!-- KEEP S--></s> | nè procedit Hippocrates. <!-- KEEP S--></s> |
| <s id="id.000859">&longs;ed vt reliquum circu­<lb/> | <s id="s.000854">&longs;ed vt reliquum circu­<lb/> |
| li quadret, &longs;ic pergit, ponatur recta L M, dupla <lb/> | li quadret, &longs;ic pergit, ponatur recta L M, dupla <lb/> |
| ip&longs;ius B C, &longs;upra quam &longs;emicirculus de&longs;cribatur <lb/> | ip&longs;ius B C, &longs;upra quam &longs;emicirculus de&longs;cribatur <lb/> |
| <figure id="id.009.01.045.2.jpg" xlink:href="009/01/045/2.jpg" place="text"/><lb/> | <figure id="id.009.01.045.2.jpg" place="text" xlink:href="009/01/045/2.jpg"/><lb/> |
| L O M, cui in&longs;cribatur hexagoni <lb/> | L O M, cui in&longs;cribatur hexagoni <lb/> |
| æquilateri dimidium L Q S M, & &longs;u­<lb/> | æquilateri dimidium L Q S M, & &longs;u­<lb/> |
| per tribus hexagoni lateribus, &longs;int <lb/> | per tribus hexagoni lateribus, &longs;int <lb/> |
| tres &longs;emicirculi, vt in figura. </s> | tres &longs;emicirculi, vt in figura. </s> |
| <s id="id.000860">& <expan abbr="quo-niã">quo­<lb/> | <s id="s.000855">& <expan abbr="quo-niã">quo­<lb/> |
| niam</expan> diameter L M, dupla e&longs;t <expan abbr="vniu&longs;-cuiu&longs;q;">vniu&longs;­<lb/> | niam</expan> diameter L M, dupla e&longs;t <expan abbr="vniu&longs;-cuiu&longs;q;">vniu&longs;­<lb/> |
| cuiu&longs;que</expan> <expan abbr="diametrorũ">diametrorum</expan> B C, L Q, Q S, <lb/> | cuiu&longs;que</expan> <expan abbr="diametrorũ">diametrorum</expan> B C, L Q, Q S, <lb/> |
| S M, erit &longs;emicirculus L O M, &etail;qua­<lb/> | S M, erit &longs;emicirculus L O M, &etail;qua­<lb/> |
| |
| tur <expan abbr="itaq;">itaque</expan> de trapezio tria triangula æqualia tribus lunulis, eo modo, quo &longs;u­<lb/> | tur <expan abbr="itaq;">itaque</expan> de trapezio tria triangula æqualia tribus lunulis, eo modo, quo &longs;u­<lb/> |
| pra in prima figura factum e&longs;t, & quod relinquetur æquale erit &longs;emicirculo <lb/> | pra in prima figura factum e&longs;t, & quod relinquetur æquale erit &longs;emicirculo <lb/> |
| B A C. quod deinde quadretur per vlt. </s> | B A C. quod deinde quadretur per vlt. </s> |
| <s id="id.000861">&longs;ecundi, &longs;ed aduerte, quod quando <lb/> | <s id="s.000856">&longs;ecundi, &longs;ed aduerte, quod quando <lb/> |
| ait, ab&longs;cindantur de trapezio tria triangula æqualia lunulis, eo modo, quo <lb/> | ait, ab&longs;cindantur de trapezio tria triangula æqualia lunulis, eo modo, quo <lb/> |
| &longs;upra, committit deceptionem, quia eodem modo, quo &longs;upra minimè id fa­<lb/> | &longs;upra, committit deceptionem, quia eodem modo, quo &longs;upra minimè id fa­<lb/> |
| cere po&longs;&longs;umus, quia in &longs;uperiori figura triangula erant con&longs;tituta &longs;uper la­<lb/> | cere po&longs;&longs;umus, quia in &longs;uperiori figura triangula erant con&longs;tituta &longs;uper la­<lb/> |
| |
| ciet : quì enim fieri pote&longs;t, vt tam acutus inuentor, adeo manife&longs;tum erro­<lb/> | ciet : quì enim fieri pote&longs;t, vt tam acutus inuentor, adeo manife&longs;tum erro­<lb/> |
| rem non vidi&longs;&longs;et, verum propter adinuenti excellentiam, authori &longs;uo pla­<lb/> | rem non vidi&longs;&longs;et, verum propter adinuenti excellentiam, authori &longs;uo pla­<lb/> |
| cuit paralogy&longs;mus. </s> | cuit paralogy&longs;mus. </s> |
| <s id="id.000862">mirabilis tamen &longs;emper habita e&longs;t illa &longs;uperior lunulæ <lb/> | <s id="s.000857">mirabilis tamen &longs;emper habita e&longs;t illa &longs;uperior lunulæ <lb/> |
| quadratio. </s> | quadratio. </s> |
| <s id="id.000863">Ex quibus &longs;atis clara e&longs;&longs;e po&longs;&longs;unt ea, quæ ad <expan abbr="Mathematicũ">Mathematicum</expan> per­<lb/> | <s id="s.000858">Ex quibus &longs;atis clara e&longs;&longs;e po&longs;&longs;unt ea, quæ ad <expan abbr="Mathematicũ">Mathematicum</expan> per­<lb/> |
| tinent, ad locum hunc de Abductione declarandum. </s> | tinent, ad locum hunc de Abductione declarandum. </s> |
| <s id="id.000864">facta e&longs;t igitur abdu­<lb/> | <s id="s.000859">facta e&longs;t igitur abdu­<lb/> |
| ctio ab Hippocrate in quadratione trium po&longs;teriorum lunularum, in qua­<lb/> | ctio ab Hippocrate in quadratione trium po&longs;teriorum lunularum, in qua­<lb/> |
| rum quadratione diu immoratus, nunquam ni&longs;i cum paralogy&longs;mo quadra­<lb/> | rum quadratione diu immoratus, nunquam ni&longs;i cum paralogy&longs;mo quadra­<lb/> |
| re valuit. </s> | re valuit. </s> |
| <s id="id.000865">Hæc pluribus, vt &longs;equentibus etiam textibus, in quibus huius te­<lb/> | <s id="s.000860">Hæc pluribus, vt &longs;equentibus etiam textibus, in quibus huius te­<lb/> |
| tragoni&longs;mi fit mentio &longs;atisfacere po&longs;&longs;imus. </s> | tragoni&longs;mi fit mentio &longs;atisfacere po&longs;&longs;imus. </s> |
| <s id="id.000866">Hippocrates i&longs;te Chius e&longs;t alter <pb xlink:href="009/01/046.jpg" pagenum="46" />ab illo Hippocrate Coo medicorum Magi&longs;tro, vt colligitur ex Alexandre <lb/> | <s id="s.000861">Hippocrates i&longs;te Chius e&longs;t alter <pb pagenum="46" xlink:href="009/01/046.jpg"/>ab illo Hippocrate Coo medicorum Magi&longs;tro, vt colligitur ex Alexandre <lb/> |
| Aphrod. <!-- REMOVE S-->in Primum Meteororum de Cometis.<!-- KEEP S--></s> | Aphrod. <!-- REMOVE S-->in Primum Meteororum de Cometis.<!-- KEEP S--></s> |
| </p> | </p> |
| </chap> | </chap> |
| <chap> | <chap> |
| <p type="head"> | <p type="head"> |
| <s id="id.000867"><emph type="italics"/>Ex Primo Posteriorum re&longs;olutoriorum.<emph.end type="italics"/></s> | <s id="s.000862"><emph type="italics"/>Ex Primo Posteriorum re&longs;olutoriorum.<emph.end type="italics"/></s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000868"><arrow.to.target n="marg18"/></s> | <s id="s.000863"><arrow.to.target n="marg18"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000869"><margin.target id="marg18"/>18</s> | <s id="s.000864"><margin.target id="marg18"/>18</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000870">Textu primo <emph type="italics"/>(Omnis doctrina, & omnis di&longs;ciplina di&longs;cur&longs;iua ex præexi­<lb/> | <s id="s.000865">Textu primo <emph type="italics"/>(Omnis doctrina, & omnis di&longs;ciplina di&longs;cur&longs;iua ex præexi­<lb/> |
| &longs;tenti fit cognitione. </s> | &longs;tenti fit cognitione. </s> |
| <s id="id.000871">manife&longs;tum autem hoc &longs;peculantibus in omnibus, <lb/> | <s id="s.000866">manife&longs;tum autem hoc &longs;peculantibus in omnibus, <lb/> |
| Mathematicæ <expan abbr="namq;">namque</expan> &longs;cientiarum per hunc modum accedunt)<emph.end type="italics"/> quo mo­<lb/> | Mathematicæ <expan abbr="namq;">namque</expan> &longs;cientiarum per hunc modum accedunt)<emph.end type="italics"/> quo mo­<lb/> |
| do Mathematicæ fiant ex præcedenti cognitione, &longs;cilicet Princi­<lb/> | do Mathematicæ fiant ex præcedenti cognitione, &longs;cilicet Princi­<lb/> |
| piorum per&longs;picuè quilibet videbit, qui &longs;altem primum <expan abbr="Elem&etilde;torum">Elementorum</expan> Eucli­<lb/> | piorum per&longs;picuè quilibet videbit, qui &longs;altem primum <expan abbr="Elem&etilde;torum">Elementorum</expan> Eucli­<lb/> |
| dis, vel è ianuis in&longs;pexerit; pr&etail;cedunt enim primo principiorum tria gene­<lb/> | dis, vel è ianuis in&longs;pexerit; pr&etail;cedunt enim primo principiorum tria gene­<lb/> |
| ra, quorum primum continet definitiones &longs;ubiecti Geometriæ, vt definitio­<lb/> | ra, quorum primum continet definitiones &longs;ubiecti Geometriæ, vt definitio­<lb/> |
| nes lineæ, &longs;uperficiei, trianguli, &c: Secundum continet Po&longs;tulata. </s> | nes lineæ, &longs;uperficiei, trianguli, &c: Secundum continet Po&longs;tulata. </s> |
| <s id="id.000872">Tertium <lb/> | <s id="s.000867">Tertium <lb/> |
| Axiomata, &longs;eu communes omnium conceptiones, & &longs;ententias, ex quibus <lb/>tanquam ex vberrimis, & chri&longs;tallinis fontibus Demon&longs;trationes Geome­<lb/> | Axiomata, &longs;eu communes omnium conceptiones, & &longs;ententias, ex quibus <lb/>tanquam ex vberrimis, & chri&longs;tallinis fontibus Demon&longs;trationes Geome­<lb/> |
| tricæ deriuantur. </s> | tricæ deriuantur. </s> |
| <s id="id.000873">Idem vìdere licet in operibus aliorum Geometrarum, <lb/> | <s id="s.000868">Idem vìdere licet in operibus aliorum Geometrarum, <lb/> |
| Archimedis, Apollonij, Pappi, & cæterorum. </s> | Archimedis, Apollonij, Pappi, & cæterorum. </s> |
| <s id="id.000874">Aliæ &longs;imiliter mathematicæ, <lb/> | <s id="s.000869">Aliæ &longs;imiliter mathematicæ, <lb/> |
| vt Arithmetica, Per&longs;pectiua, Mu&longs;ica, Mechanica, A&longs;tronomia, non ni&longs;t ex <lb/> | vt Arithmetica, Per&longs;pectiua, Mu&longs;ica, Mechanica, A&longs;tronomia, non ni&longs;t ex <lb/> |
| præmi&longs;&longs;is, ac manife&longs;ti&longs;simis principijs &longs;uas demon&longs;trationes deducunt. <lb/> | præmi&longs;&longs;is, ac manife&longs;ti&longs;simis principijs &longs;uas demon&longs;trationes deducunt. <lb/> |
| </s> | </s> |
| <s id="id.000875">Nulla porrò alia &longs;cientia tam di&longs;tinctè &longs;ua præmittit principia, <expan abbr="tam&qacute;">tamque</expan>; per­<lb/> | <s id="s.000870">Nulla porrò alia &longs;cientia tam di&longs;tinctè &longs;ua præmittit principia, <expan abbr="tam&qacute;">tamque</expan>; per­<lb/> |
| &longs;picua, &longs;icuti Mathematicæ, vt non immeritò Philo&longs;ophus eas, tamquam <lb/> | &longs;picua, &longs;icuti Mathematicæ, vt non immeritò Philo&longs;ophus eas, tamquam <lb/> |
| veræ &longs;cientiæ <expan abbr="typũ">typum</expan>, <expan abbr="eum&qacute;">eumque</expan>; omnibus numeris ab&longs;olutum &longs;ibi ob oculos pro­<lb/> | veræ &longs;cientiæ <expan abbr="typũ">typum</expan>, <expan abbr="eum&qacute;">eumque</expan>; omnibus numeris ab&longs;olutum &longs;ibi ob oculos pro­<lb/> |
| po&longs;uerit, ex quo veræ &longs;cientiæ de&longs;criptionem hi&longs;ce libris complecteretur.</s> | po&longs;uerit, ex quo veræ &longs;cientiæ de&longs;criptionem hi&longs;ce libris complecteretur.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000876"><arrow.to.target n="marg19"/></s> | <s id="s.000871"><arrow.to.target n="marg19"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000877"><margin.target id="marg19"/>19</s> | <s id="s.000872"><margin.target id="marg19"/>19</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000878">Tex. 2. <emph type="italics"/>(Quod enim omne triangulum habet duobus rectis æquales, præ&longs;ciuit: <lb/> | <s id="s.000873">Tex. 2. <emph type="italics"/>(Quod enim omne triangulum habet duobus rectis æquales, præ&longs;ciuit: <lb/> |
| quod autem hoc, quod e&longs;t in &longs;emicirculo triangulum e&longs;t, &longs;imul inducens cognouit)<emph.end type="italics"/><lb/> | quod autem hoc, quod e&longs;t in &longs;emicirculo triangulum e&longs;t, &longs;imul inducens cognouit)<emph.end type="italics"/><lb/> |
| vide primo, quæ &longs;upra libro 1. Prior. <!-- REMOVE S-->&longs;ecto 3. cap. 1. explicaui de angulis <lb/> | vide primo, quæ &longs;upra libro 1. Prior. <!-- REMOVE S-->&longs;ecto 3. cap. 1. explicaui de angulis <lb/> |
| trianguli. </s> | trianguli. </s> |
| <s id="id.000879">deinde &longs;cias, quod quando Ari&longs;t. ait, hoc, quod e&longs;t in &longs;emicircu­<lb/> | <s id="s.000874">deinde &longs;cias, quod quando Ari&longs;t. ait, hoc, quod e&longs;t in &longs;emicircu­<lb/> |
| lo triangulum, &c. </s> | lo triangulum, &c. </s> |
| <s id="id.000880">alludit ad demon&longs;trationem quandam, quam ip&longs;e infe­<lb/> | <s id="s.000875">alludit ad demon&longs;trationem quandam, quam ip&longs;e infe­<lb/> |
| rius in exemplum adducet, & quæ e&longs;t in 3. Elem. Euclidis 31. in qua talis fi­<lb/> | rius in exemplum adducet, & quæ e&longs;t in 3. Elem. Euclidis 31. in qua talis fi­<lb/> |
| gura proponitur qualis e&longs;t præ&longs;ens, in qua vides triangulum A B C. in &longs;e­<lb/> | gura proponitur qualis e&longs;t præ&longs;ens, in qua vides triangulum A B C. in &longs;e­<lb/> |
| <figure id="id.009.01.046.1.jpg" xlink:href="009/01/046/1.jpg" place="text"/><lb/> | <figure id="id.009.01.046.1.jpg" place="text" xlink:href="009/01/046/1.jpg"/><lb/> |
| micirculo. </s> | micirculo. </s> |
| <s id="id.000881">tunc autem dicitur triangulum in <lb/> | <s id="s.000876">tunc autem dicitur triangulum in <lb/> |
| &longs;emicirculo, quando ba&longs;is ip&longs;ius e&longs;t diameter <lb/> | &longs;emicirculo, quando ba&longs;is ip&longs;ius e&longs;t diameter <lb/> |
| &longs;emicirculi, & reliqua duo latera ita concur­<lb/>runt &longs;imul in angulum B, vt ip&longs;um pariter in <lb/> | &longs;emicirculi, & reliqua duo latera ita concur­<lb/>runt &longs;imul in angulum B, vt ip&longs;um pariter in <lb/> |
| circumferentia con&longs;tituant, quibus pr&etail;mi&longs;sis <lb/> | circumferentia con&longs;tituant, quibus pr&etail;mi&longs;sis <lb/> |
| |
| te illius maioris propo&longs;itionis; omne triangulum habet tres, &c.</s> | te illius maioris propo&longs;itionis; omne triangulum habet tres, &c.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000882"><arrow.to.target n="marg20"/></s> | <s id="s.000877"><arrow.to.target n="marg20"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000883"><margin.target id="marg20"/>20</s> | <s id="s.000878"><margin.target id="marg20"/>20</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000884">Tex. 5. <emph type="italics"/>(Vera quidem igitur oportet e&longs;&longs;e, quoniam non e&longs;t non ens &longs;cire, vt quod <lb/>diameter &longs;it commen&longs;urabilis)<emph.end type="italics"/> con&longs;ule ea, quæ &longs;crip&longs;imus ad cap. 23. primi <lb/> | <s id="s.000879">Tex. 5. <emph type="italics"/>(Vera quidem igitur oportet e&longs;&longs;e, quoniam non e&longs;t non ens &longs;cire, vt quod <lb/>diameter &longs;it commen&longs;urabilis)<emph.end type="italics"/> con&longs;ule ea, quæ &longs;crip&longs;imus ad cap. 23. primi <lb/> |
| Priorum, &longs;ecto 1. &longs;ine quibus locus hic &longs;atis intelligi nequit; ijs autem per­<lb/> | Priorum, &longs;ecto 1. &longs;ine quibus locus hic &longs;atis intelligi nequit; ijs autem per­<lb/> |
| ceptis &longs;ic <expan abbr="locũ">locum</expan> hunc explicare po&longs;&longs;umus, cum diameter quadrati &longs;it incom­ | ceptis &longs;ic <expan abbr="locũ">locum</expan> hunc explicare po&longs;&longs;umus, cum diameter quadrati &longs;it incom­ |
| | |
| | |
| <pb xlink:href="009/01/047.jpg" pagenum="47" />men&longs;urabilis lateri &longs;ui quadrati, fal&longs;um erit dicere diametrum e&longs;&longs;e com­<lb/> | <pb pagenum="47" xlink:href="009/01/047.jpg"/>men&longs;urabilis lateri &longs;ui quadrati, fal&longs;um erit dicere diametrum e&longs;&longs;e com­<lb/> |
| men&longs;urabilem prædicto lateri, quod autem fal&longs;um e&longs;t, illud non e&longs;t; igitur <lb/> | men&longs;urabilem prædicto lateri, quod autem fal&longs;um e&longs;t, illud non e&longs;t; igitur <lb/> |
| impo&longs;sibile e&longs;t &longs;cire diametrum e&longs;&longs;e commen&longs;urabile.</s> | impo&longs;sibile e&longs;t &longs;cire diametrum e&longs;&longs;e commen&longs;urabile.</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000885"><arrow.to.target n="marg21"/></s> | <s id="s.000880"><arrow.to.target n="marg21"/></s> |
| </p> | </p> |
| <p type="margin"> | <p type="margin"> |
| <s id="id.000886"><margin.target id="marg21"/>21</s> | <s id="s.000881"><margin.target id="marg21"/>21</s> |
| </p> | </p> |
| <p type="main"> | <p type="main"> |
| <s id="id.000887">Hoc eodem cap. plura dicuntur de Principijs Demon&longs;trationis, &longs;iue &longs;cien­<lb/> | <s id="s.000882">Hoc eodem cap. plura dicuntur de Principijs Demon&longs;trationis, &longs;iue &longs;cien­<lb/> |
| tiæ, vt &longs;unt Dignitates, Po&longs;itiones, Definitiones, & &longs;imilia, quæ quo modo <lb/> | tiæ, vt &longs;unt Dignitates, Po&longs;itiones, Definitiones, & &longs;imilia, quæ quo modo <lb/> |
| &longs;e habeant, & quo modo illis |