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version 1.78, 2002/10/11 11:04:46 version 1.79, 2002/10/11 11:33:08
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 1 <?xml version="1.0"?> <?xml version="1.0"?>
 2 <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" > <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" >
 3 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink">      <info> <archimedes xmlns:xlink="http://www.w3.org/1999/xlink">      <info>
 4       <author>Biancani, Giuseppe</author>         <author>Biancani, Giuseppe</author>
 5       <title>Aristotelis loca mathematica</title>         <title>Aristotelis loca mathematica</title>
 6       <date>1615</date>         <date>1615</date>
 7       <place>Bologna</place>         <place>Bologna</place>
 8       <translator/>         <translator/>
 9       <lang>la</lang>         <lang>la</lang>
 10      <cvs_file>bianc_locam_01_la_1615</cvs_file>         <cvs_file>bianc_locam_01_la_1615</cvs_file>
 11      <cvs_version/>         <cvs_version/>
 12      <locator>0000000009.xml</locator>         <locator>0000000009.xml</locator>
 13 </info>      <text>          <front>                                 <pb/><section><p type="head"> </info>      <text>          <front>                            <pb/><section><p type="head">
 14  
 15 <s>ARISTOTELIS<lb/>LOCA MATHEMATICA<lb/>Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/>&amp; explicata.</s></p><p type="head"> <s>ARISTOTELIS<lb/>LOCA MATHEMATICA<lb/>Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/>&amp; explicata.</s></p><p type="head">
 16  
 17 <s><emph type="italics"/>Aristotelic&aelig; videlicet expo&longs;itionis complementum <lb/>hactenus de&longs;ideratum.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Aristotelic&aelig; videlicet expo&longs;itionis complementum <lb/>hactenus de&longs;ideratum.<emph.end type="italics"/></s></p><p type="head">
 18  
 19 <s>Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/><expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s></p><p type="head"> <s>Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/><expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s></p><p type="head">
 20  
 21 <s><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i &egrave; Societate Ie&longs;u, <lb/>Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i &egrave; Societate Ie&longs;u, <lb/>Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s></p><p type="head">
 22  
 23 <s>Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum<lb/>PETRVMFRANCISCVM MALASPINAM<lb/>Aedificiorum Marchionem, apud C&aelig;&longs;. <!-- REMOVE S-->Maie&longs;tatem <lb/>pro Sereni&longs;s. <!-- REMOVE S-->Parmen&longs;ium Duce Legatum.</s> <s>Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum<lb/>PETRVMFRANCISCVM MALASPINAM<lb/>Aedificiorum Marchionem, apud C&aelig;&longs;. <!-- REMOVE S-->Maie&longs;tatem <lb/>pro Sereni&longs;s. <!-- REMOVE S-->Parmen&longs;ium Duce Legatum.</s>
 24  
 25  
 26  
 27 </p><p type="head"> </p><p type="head">
 28  
 29 <s>BONONI&AElig; M. <!-- REMOVE S-->D C. <!-- KEEP S--><!-- REMOVE S-->X V.<!-- KEEP S--></s> <s>BONONI&AElig; M. <!-- REMOVE S-->D C. <!-- KEEP S--><!-- REMOVE S-->X V.<!-- KEEP S--></s>
 30  
 31  
 32  
 33 </p><p type="head"> </p><p type="head">
 34  
 35 <s>Apud Bartholom&aelig;um Cochium. <!-- KEEP S--></s> <s>Apud Bartholom&aelig;um Cochium. <!-- KEEP S--></s>
 36  
 37 <s>Superiorum permi&longs;&longs;u.</s></p><p type="head"> <s>Superiorum permi&longs;&longs;u.</s></p><p type="head">
 38  
 39 <s>Sumptibus Hieronymi Tamburini.</s></p><pb/><pb pagenum="3"/> <s>Sumptibus Hieronymi Tamburini.</s></p><pb/><pb pagenum="3"/>
 40 </section> </section>
 41 <section><p type="head"><s>ILLVSTRISSIMO <lb/>AC NOBILISSIMO<lb/>PETROFRANCISCO <lb/>MALASPINAE<lb/>&AElig;DIFICIORVM MARCHIONI.</s></p><p type="main"> <section><p type="head"><s>ILLVSTRISSIMO <lb/>AC NOBILISSIMO<lb/>PETROFRANCISCO <lb/>MALASPINAE<lb/>&AElig;DIFICIORVM MARCHIONI.</s></p><p type="main">
 42  
 43 <s><emph type="italics"/>En tandem Illustri&szlig;. <!-- REMOVE S-->Marchio opus no&shy;<lb/>strum de Locis Mathematicis apud Ari&shy;<lb/>stotelem, vn&agrave; cum Tractatione de natura <lb/>&longs;cientiarum Mathematicarum, necnon <lb/>Clarorum Mathematicor&ubreve; Chronologia; <lb/>quod tibi Mec&oelig;nati meo munificenti&longs;simo iure merit&ograve; <lb/>dicare, ac &longs;ub clari&szlig;imi tui nominis patrocinio in lucem <lb/>dare con&longs;titui. </s> <s><emph type="italics"/>En tandem Illustri&szlig;. <!-- REMOVE S-->Marchio opus no&shy;<lb/>strum de Locis Mathematicis apud Ari&shy;<lb/>stotelem, vn&agrave; cum Tractatione de natura <lb/>&longs;cientiarum Mathematicarum, necnon <lb/>Clarorum Mathematicor&ubreve; Chronologia; <lb/>quod tibi Mec&oelig;nati meo munificenti&longs;simo iure merit&ograve; <lb/>dicare, ac &longs;ub clari&szlig;imi tui nominis patrocinio in lucem <lb/>dare con&longs;titui. </s>
 44  
 45  
 46  
 47 <s>prim&ugrave;m quidem, vt mei perpetui erga te <lb/>amoris, &amp; ob&longs;eruanti&aelig; hoc vnum &longs;altem specimen exta&shy;<lb/>ret: t&ugrave;m vt idoneum, &aelig;quumque propo&longs;it&aelig; rei iudicem <lb/>nanci&longs;cerer. </s> <s>prim&ugrave;m quidem, vt mei perpetui erga te <lb/>amoris, &amp; ob&longs;eruanti&aelig; hoc vnum &longs;altem specimen exta&shy;<lb/>ret: t&ugrave;m vt idoneum, &aelig;quumque propo&longs;it&aelig; rei iudicem <lb/>nanci&longs;cerer. </s>
 48  
 49 <s>c&ugrave;m enim adiu&longs;tum arbitr&ubreve; duo poti&szlig;im&ugrave;m <lb/>requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/>te rei, de qua agitur peritiorem, quemu&egrave; prudentiorem <lb/>inuenire potuerim? </s> <s>c&ugrave;m enim adiu&longs;tum arbitr&ubreve; duo poti&szlig;im&ugrave;m <lb/>requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/>te rei, de qua agitur peritiorem, quemu&egrave; prudentiorem <lb/>inuenire potuerim? </s>
 50  
 51 <s>tu enim c&ugrave;m Phy&longs;iologi&aelig;, ac Mathe&shy;<lb/>maticarum omnium Encyclop&aelig;diam mirum in modum<emph.end type="italics"/><pb pagenum="4"/><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/>per&longs;ua&longs;i&longs;ti, vt Archimedis, &amp; Apollonij admirandis, ac <lb/>&longs;ubtili&szlig;imis Demon&longs;trationibus detinearis. </s> <s>tu enim c&ugrave;m Phy&longs;iologi&aelig;, ac Mathe&shy;<lb/>maticarum omnium Encyclop&aelig;diam mirum in modum<emph.end type="italics"/><pb pagenum="4"/><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/>per&longs;ua&longs;i&longs;ti, vt Archimedis, &amp; Apollonij admirandis, ac <lb/>&longs;ubtili&szlig;imis Demon&longs;trationibus detinearis. </s>
 52  
 53 <s>Quanta por&shy;<lb/>r&ograve; in rebus agendis prudentia valeas, toti pen&egrave; Europ&aelig; <lb/>innotuit, c&ugrave;m pro no&longs;tris Sereni&szlig;. <!-- REMOVE S-->Ducibus, non &longs;ol&ugrave;m ad <lb/>omnes fer&egrave; Itali&aelig;, atque Germani&aelig; Principes, ver&ugrave;m etiam <lb/>ad C&aelig;&longs;aream Maie&longs;tatem rebus f&oelig;liciter ge&longs;tis Legatus <lb/>decim&ugrave;m extiteris; ac dem&ugrave;m &agrave; Sereni&szlig;. <!-- REMOVE S-->Duce Ranutio <lb/>inter primarios de Rep. <!-- KEEP S--></s> <s>Quanta por&shy;<lb/>r&ograve; in rebus agendis prudentia valeas, toti pen&egrave; Europ&aelig; <lb/>innotuit, c&ugrave;m pro no&longs;tris Sereni&szlig;. <!-- REMOVE S-->Ducibus, non &longs;ol&ugrave;m ad <lb/>omnes fer&egrave; Itali&aelig;, atque Germani&aelig; Principes, ver&ugrave;m etiam <lb/>ad C&aelig;&longs;aream Maie&longs;tatem rebus f&oelig;liciter ge&longs;tis Legatus <lb/>decim&ugrave;m extiteris; ac dem&ugrave;m &agrave; Sereni&szlig;. <!-- REMOVE S-->Duce Ranutio <lb/>inter primarios de Rep. <!-- KEEP S--></s>
 54  
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 59 <s>Con&longs;iliorum Authores ad&longs;citus <lb/>fueris. </s> <s>Con&longs;iliorum Authores ad&longs;citus <lb/>fueris. </s>
 60  
 61 <s>C&aelig;ter&ugrave;m in Clarorum Mathematicorum Chro&shy;<lb/>nologia perlegenda, &longs;&aelig;pi&szlig;im&egrave; tibi nobili&szlig;imi &aelig;qu&egrave;, ac do&shy;<lb/>cti&szlig;imi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/>nonni&longs;i grati&szlig;imum accidere po&longs;&longs;e arbitror. </s> <s>C&aelig;ter&ugrave;m in Clarorum Mathematicorum Chro&shy;<lb/>nologia perlegenda, &longs;&aelig;pi&szlig;im&egrave; tibi nobili&szlig;imi &aelig;qu&egrave;, ac do&shy;<lb/>cti&szlig;imi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/>nonni&longs;i grati&szlig;imum accidere po&longs;&longs;e arbitror. </s>
 62  
 63 <s>Complectere <lb/>igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu&shy;<lb/>dia promouere, mea h&aelig;c quantulacumque munu&longs;cula. <lb/></s> <s>Complectere <lb/>igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu&shy;<lb/>dia promouere, mea h&aelig;c quantulacumque munu&longs;cula. <lb/></s>
 64  
 65 <s>qu&aelig; &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma&shy;<lb/>ximorum munerum loco habenda e&longs;&longs;e cen&longs;e&shy;<lb/>bo. </s> <s>qu&aelig; &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma&shy;<lb/>ximorum munerum loco habenda e&longs;&longs;e cen&longs;e&shy;<lb/>bo. </s>
 66  
 67 <s>incolumem tibi, ac f&oelig;licem D. Opt. <lb/><!-- REMOVE S-->Max. <!-- REMOVE S-->long&aelig;uitatem tueatur. <lb/></s> <s>incolumem tibi, ac f&oelig;licem D. Opt. <lb/><!-- REMOVE S-->Max. <!-- REMOVE S-->long&aelig;uitatem tueatur. <lb/></s>
 68  
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 73 <s>Vale.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Vale.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 74  
 75 <s><emph type="italics"/>Parm&aelig; Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/><!-- KEEP S--></s></p></section><pb pagenum="5"/><section><p type="head"> <s><emph type="italics"/>Parm&aelig; Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/><!-- KEEP S--></s></p></section><pb pagenum="5"/><section><p type="head">
 76  
 77 <s>Liber de &longs;e ip&longs;o.</s></p><p type="head"> <s>Liber de &longs;e ip&longs;o.</s></p><p type="head">
 78  
 79 <s><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></p><p type="main"> <s><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></p><p type="main">
 80  
 81 <s>Ego Iordanus Ca&longs;&longs;ini Pr&aelig;po&longs;itus Prouincialis Prouinci&aelig; Venet&aelig; Societatis <lb/>Ie&longs;u, ex auctoritate Adm. <!-- REMOVE S-->Reuer. <!-- REMOVE S-->P. nc&longs;tro Pr&aelig;po&longs;iti Generalis P. <!-- REMOVE S-->Claudij <lb/>Aqu&aelig;uiu&aelig;, 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/>operibus collecta, &amp; explicata, &agrave; deputatis Patribus recognitum, &amp; ap&shy;<lb/>probatum typis mandari po&longs;&longs;it. </s> <s>Ego Iordanus Ca&longs;&longs;ini Pr&aelig;po&longs;itus Prouincialis Prouinci&aelig; Venet&aelig; Societatis <lb/>Ie&longs;u, ex auctoritate Adm. <!-- REMOVE S-->Reuer. <!-- REMOVE S-->P. nc&longs;tro Pr&aelig;po&longs;iti Generalis P. <!-- REMOVE S-->Claudij <lb/>Aqu&aelig;uiu&aelig;, 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/>operibus collecta, &amp; explicata, &agrave; deputatis Patribus recognitum, &amp; ap&shy;<lb/>probatum typis mandari po&longs;&longs;it. </s>
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 91 <s>Parm&aelig; die 15. Ianuarij 1615.</s></p><p type="main"> <s>Parm&aelig; die 15. Ianuarij 1615.</s></p><p type="main">
 92  
 93 <s><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/><!-- REMOVE S-->Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s></p><p type="main"> <s><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/><!-- REMOVE S-->Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s></p><p type="main">
 94  
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 97 <s>&amp; Reuerendi&longs;s. <!-- REMOVE S-->Archiepi&longs;c. <!-- REMOVE S-->Bonon</s> <s>&amp; Reuerendi&longs;s. <!-- REMOVE S-->Archiepi&longs;c. <!-- REMOVE S-->Bonon</s>
 98  
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 100  
 101 </p><p type="main"> </p><p type="main">
 102  
 103 <s>Imprimatur</s></p><p type="main"> <s>Imprimatur</s></p><p type="main">
 104  
 105 <s>Fr. <!-- REMOVE S-->Hieronymus Onuphrius pro Reuerendi&longs;s. <!-- REMOVE S-->P. <!-- REMOVE S-->Inqui&longs;itore Bonon.</s> <s>Fr. <!-- REMOVE S-->Hieronymus Onuphrius pro Reuerendi&longs;s. <!-- REMOVE S-->P. <!-- REMOVE S-->Inqui&longs;itore Bonon.</s>
 106  
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 110  
 111 </p></section><pb pagenum="6"/><section><p type="head"> </p></section><pb pagenum="6"/><section><p type="head">
 112  
 113 <s>LECTORI.</s></p><p type="main"> <s>LECTORI.</s></p><p type="main">
 114  
 115 <s>Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um&shy;<lb/>mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr&shy;<lb/>n&aelig;us in Platonis Dialogis egregi&egrave; perfecerunt, vt videli&shy;<lb/>cet qu&aelig; pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati&shy;<lb/>cis &longs;cripta reliquit, eadem ip&longs;a ab illis &longs;electa, &amp; in vnum <lb/>qua&longs;i corpus redacta lucubrationibus illu&longs;trarent: idem ego quoque in <lb/>Ari&longs;totelis operibus efficere &longs;um conatus, vt qu&aelig; de Mathematicis re&shy;<lb/>bus in vniuer&longs;is eiu&longs;dem monumentis &longs;par&longs;a leguntur, eadem in vnum <lb/>&agrave; me collecta, &amp; explicata ijs Philo&longs;ophi&aelig; &longs;tudio&longs;is maxime &longs;eruirent, <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;ophi&aelig; curriculum <lb/>aggrediuntur. </s> <s>Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um&shy;<lb/>mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr&shy;<lb/>n&aelig;us in Platonis Dialogis egregi&egrave; perfecerunt, vt videli&shy;<lb/>cet qu&aelig; pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati&shy;<lb/>cis &longs;cripta reliquit, eadem ip&longs;a ab illis &longs;electa, &amp; in vnum <lb/>qua&longs;i corpus redacta lucubrationibus illu&longs;trarent: idem ego quoque in <lb/>Ari&longs;totelis operibus efficere &longs;um conatus, vt qu&aelig; de Mathematicis re&shy;<lb/>bus in vniuer&longs;is eiu&longs;dem monumentis &longs;par&longs;a leguntur, eadem in vnum <lb/>&agrave; me collecta, &amp; explicata ijs Philo&longs;ophi&aelig; &longs;tudio&longs;is maxime &longs;eruirent, <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;ophi&aelig; curriculum <lb/>aggrediuntur. </s>
 116  
 117 <s>Vt autem huius operis nece&longs;&longs;itas, <expan abbr="vari&aelig;&qacute;">vari&aelig;que</expan>; vtilitates pla&shy;<lb/>nius cogno&longs;cantur oper&aelig;pretium erit initio illius cau&longs;as exponere; qu&aelig; <lb/>me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s></p><p type="main"> <s>Vt autem huius operis nece&longs;&longs;itas, <expan abbr="vari&aelig;&qacute;">vari&aelig;que</expan>; vtilitates pla&shy;<lb/>nius cogno&longs;cantur oper&aelig;pretium erit initio illius cau&longs;as exponere; qu&aelig; <lb/>me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s></p><p type="main">
 118  
 119 <s>Prima &longs;it, quod h&aelig;c Ari&longs;t.  <s>Prima &longs;it, quod h&aelig;c Ari&longs;t.
 120  
 121 loca Mathematica, qu&aelig; quidem fer&egrave; 408. <lb/>numerantur, pe&longs;&longs;im&egrave; latinis literis con&longs;ignata &longs;unt v&longs;que ade&ograve;, vt Ari&shy;<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;&aelig;pi&longs;&longs;im&egrave; compellant.</s></p><p type="main"> loca Mathematica, qu&aelig; quidem fer&egrave; 408. <lb/>numerantur, pe&longs;&longs;im&egrave; latinis literis con&longs;ignata &longs;unt v&longs;que ade&ograve;, vt Ari&shy;<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;&aelig;pi&longs;&longs;im&egrave; compellant.</s></p><p type="main">
 122  
 123 <s>Secunda, qu&ograve;d plurima huiu&longs;modi loca &agrave; nemine, quod &longs;ciam, adhuc <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/>de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, &amp; Mechanic&aelig; qu&aelig;&longs;tiones, quamuis <lb/>enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif&shy;<lb/>ficiliora non &longs;atis illu&longs;trauit. </s> <s>Secunda, qu&ograve;d plurima huiu&longs;modi loca &agrave; nemine, quod &longs;ciam, adhuc <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/>de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, &amp; Mechanic&aelig; qu&aelig;&longs;tiones, quamuis <lb/>enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif&shy;<lb/>ficiliora non &longs;atis illu&longs;trauit. </s>
 124  
 125 <s>Vt autem dixi 408. in vniuer&longs;um loca mi&shy;<lb/>nim&ugrave;m numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/>udei/s eisi/to</foreign>; &amp; in quibus Mathematic&aelig; di&longs;ciplin&aelig; rudes, &amp; imperiti, quem <lb/>&longs;equuntur ducem Ari&longs;t.  <s>Vt autem dixi 408. in vniuer&longs;um loca mi&shy;<lb/>nim&ugrave;m numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/>udei/s eisi/to</foreign>; &amp; in quibus Mathematic&aelig; di&longs;ciplin&aelig; rudes, &amp; imperiti, quem <lb/>&longs;equuntur ducem Ari&longs;t.
 126  
 127 eum &longs;&aelig;pe de&longs;erere non &longs;ine turpi dedecoris no&shy;<lb/>ta coguntur; quo fit vt exempla illa Mathematica lucem rebus aliquan&shy;<lb/>do allatura, tenebras cimmerijs, vt aiunt vmbris cra&longs;&longs;iores ij&longs;dem <lb/>obducant.</s></p><p type="main"> eum &longs;&aelig;pe de&longs;erere non &longs;ine turpi dedecoris no&shy;<lb/>ta coguntur; quo fit vt exempla illa Mathematica lucem rebus aliquan&shy;<lb/>do allatura, tenebras cimmerijs, vt aiunt vmbris cra&longs;&longs;iores ij&longs;dem <lb/>obducant.</s></p><p type="main">
 128  
 129 <s>Tertia, quia Gr&aelig;cieorumdem locorum commentatores breuiter, &amp; <lb/>ob&longs;cur&egrave; admodum ea, qu&aelig; ad Mathematicum &longs;pectant, attingunt, hoc <lb/>enim ab ip&longs;is <expan abbr="cert&utilde;">certum</expan> ponitur, I ectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/>Philo &longs;ophorum, Mathematicis imbutum; at ver&ograve; no&longs;tra &aelig;tate magna <lb/>cum Philo&longs;ophi&aelig; iactura, quamplurimi earumdem di&longs;ciplinarum de&longs;ti&shy;<lb/>tuti pr&aelig;&longs;idijs, ne Gr&aelig;corum quidem Interpretum explanationes, ne&shy;<lb/>dum Ari&longs;t.  <s>Tertia, quia Gr&aelig;cieorumdem locorum commentatores breuiter, &amp; <lb/>ob&longs;cur&egrave; admodum ea, qu&aelig; ad Mathematicum &longs;pectant, attingunt, hoc <lb/>enim ab ip&longs;is <expan abbr="cert&utilde;">certum</expan> ponitur, I ectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/>Philo &longs;ophorum, Mathematicis imbutum; at ver&ograve; no&longs;tra &aelig;tate magna <lb/>cum Philo&longs;ophi&aelig; iactura, quamplurimi earumdem di&longs;ciplinarum de&longs;ti&shy;<lb/>tuti pr&aelig;&longs;idijs, ne Gr&aelig;corum quidem Interpretum explanationes, ne&shy;<lb/>dum Ari&longs;t.
 130  
 131 ob&longs;cur&egrave; dicta intelligunt.</s></p><pb pagenum="7"/><p type="main"> ob&longs;cur&egrave; dicta intelligunt.</s></p><pb pagenum="7"/><p type="main">
 132  
 133 <s>Quarta. </s> <s>Quarta. </s>
 134  
 135 <s>Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati&shy;<lb/>corum puluere con&longs;per&longs;us, ade&ograve; tamen peruer&longs;a e&longs;t eorumdem Gr&aelig;co&shy;<lb/>rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, qu&aelig; nece&longs;&longs;ari&aelig; erant <lb/>confu&longs;io, &amp; deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/>excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s> <s>Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati&shy;<lb/>corum puluere con&longs;per&longs;us, ade&ograve; tamen peruer&longs;a e&longs;t eorumdem Gr&aelig;co&shy;<lb/>rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, qu&aelig; nece&longs;&longs;ari&aelig; erant <lb/>confu&longs;io, &amp; deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/>excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s>
 136  
 137 <s>Quin etiam figur&aelig; ill&aelig;, qu&aelig; <lb/>omnino nece&longs;&longs;ari&aelig; &longs;unt ob Scriptorum, &amp; Typographorum in&longs;citiam, <lb/>aut inertiam pluribus in locis de&longs;iderantur. </s> <s>Quin etiam figur&aelig; ill&aelig;, qu&aelig; <lb/>omnino nece&longs;&longs;ari&aelig; &longs;unt ob Scriptorum, &amp; Typographorum in&longs;citiam, <lb/>aut inertiam pluribus in locis de&longs;iderantur. </s>
 138  
 139 <s>Latini ver&ograve; multo minus, <lb/>qu&agrave;m Gr&aelig;ci Mathematic&aelig; periti, qua ratione eadem loca pertractaue&shy;<lb/>rint, facilius e&longs;t conijcere, qu&agrave;m vt dici oporteat.</s></p><p type="main"> <s>Latini ver&ograve; multo minus, <lb/>qu&agrave;m Gr&aelig;ci Mathematic&aelig; periti, qua ratione eadem loca pertractaue&shy;<lb/>rint, facilius e&longs;t conijcere, qu&agrave;m vt dici oporteat.</s></p><p type="main">
 140  
 141 <s>Quinta. </s> <s>Quinta. </s>
 142  
 143 <s>Ex his omnibus in aliud incommodum, vel maximum Phi&shy;<lb/>lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta&shy;<lb/>citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t.  <s>Ex his omnibus in aliud incommodum, vel maximum Phi&shy;<lb/>lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta&shy;<lb/>citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t.
 144  
 145 percipiendam <lb/>&longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;&shy;<lb/>&longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s> percipiendam <lb/>&longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;&shy;<lb/>&longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s>
 146  
 147 <s>Eorum ver&ograve; nonnulli eorumdem <lb/>locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri&shy;<lb/>les ill&aelig;, ac ridicul&aelig; expo&longs;itiones pa&longs;&longs;im audit&aelig;, cuiu&longs;modi e&longs;t illa, quan&shy;<lb/>do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha&shy;<lb/>bet tres; nihil aliud &longs;ignificari volunt, qu&agrave;m omnem triangulum habe&shy;<lb/>re tres angulos. </s> <s>Eorum ver&ograve; nonnulli eorumdem <lb/>locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri&shy;<lb/>les ill&aelig;, ac ridicul&aelig; expo&longs;itiones pa&longs;&longs;im audit&aelig;, cuiu&longs;modi e&longs;t illa, quan&shy;<lb/>do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha&shy;<lb/>bet tres; nihil aliud &longs;ignificari volunt, qu&agrave;m omnem triangulum habe&shy;<lb/>re tres angulos. </s>
 148  
 149 <s>quod &longs;i dicat, omnis triangulus habet tres &aelig;quales duo&shy;<lb/>busrectis: hic h&aelig;rent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/>&longs;e minim&egrave; expedire valeant, aurea verba illa, quibus ingentes &longs;apienti&aelig; <lb/>the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/>cogit in&longs;citia: vnde illud, quod Gr&aelig;c&aelig; lingu&aelig; imperitis mutata oratio&shy;<lb/>ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s> <s>quod &longs;i dicat, omnis triangulus habet tres &aelig;quales duo&shy;<lb/>busrectis: hic h&aelig;rent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/>&longs;e minim&egrave; expedire valeant, aurea verba illa, quibus ingentes &longs;apienti&aelig; <lb/>the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/>cogit in&longs;citia: vnde illud, quod Gr&aelig;c&aelig; lingu&aelig; imperitis mutata oratio&shy;<lb/>ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s>
 150  
 151 <s>Nec mi&shy;<lb/>nus elegans illa altera expo&longs;itio; Diametrum e&longs;le incommen&longs;urabilem <lb/>co&longs;t&aelig;; quod &longs;&aelig;pe apud Ari&longs;t.  <s>Nec mi&shy;<lb/>nus elegans illa altera expo&longs;itio; Diametrum e&longs;le incommen&longs;urabilem <lb/>co&longs;t&aelig;; quod &longs;&aelig;pe apud Ari&longs;t.
 152  
 153 legentibus occurrit, nihil aliud &longs;ibi velle, <lb/>quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetri&aelig; huius <lb/>ignorantiam Plato de legibus dial. </s> legentibus occurrit, nihil aliud &longs;ibi velle, <lb/>quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetri&aelig; huius <lb/>ignorantiam Plato de legibus dial. </s>
 154  
 155 <s>7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco&shy;<lb/>rumque</expan> appellare non dubitauit. </s> <s>7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco&shy;<lb/>rumque</expan> appellare non dubitauit. </s>
 156  
 157 <s>Quid illa? </s> <s>Quid illa? </s>
 158  
 159 <s>cum Ari&longs;t.  <s>cum Ari&longs;t.
 160  
 161 ait duo cubi, cu&shy;<lb/>bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in&shy;<lb/>uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/></s> ait duo cubi, cu&shy;<lb/>bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in&shy;<lb/>uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/></s>
 162  
 163 <s>Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. <!-- REMOVE S-->15. qu&agrave;m &longs;e Mathematicis, <lb/>reliqui&longs;que Philo&longs;ophis irridendum pr&aelig;bet dum &agrave; permutata propor&shy;<lb/>tione putat &longs;erect&egrave; in hunc modum pluribus apud ip&longs;um verbis explica&shy;<lb/>tum, argumentari,</s> <s>Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. <!-- REMOVE S-->15. qu&agrave;m &longs;e Mathematicis, <lb/>reliqui&longs;que Philo&longs;ophis irridendum pr&aelig;bet dum &agrave; permutata propor&shy;<lb/>tione putat &longs;erect&egrave; in hunc modum pluribus apud ip&longs;um verbis explica&shy;<lb/>tum, argumentari,</s>
 164  
 165 </p><p type="main"> </p><p type="main">
 166  
 167 <s><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/>It a voluntas antiqua ad effectum antiquum. <lb/></s> <s><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/>It a voluntas antiqua ad effectum antiquum. <lb/></s>
 168  
 169 <s>Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/>antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s></p><p type="main"> <s>Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/>antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s></p><p type="main">
 170  
 171 <s><expan abbr="Spectat&utilde;">Spectatum</expan> admi&longs;&longs;i rilum teneatis amici? </s> <s><expan abbr="Spectat&utilde;">Spectatum</expan> admi&longs;&longs;i rilum teneatis amici? </s>
 172  
 173 <s>nego, ait; qui&longs;piam con&longs;equen&shy;<pb pagenum="8"/>tiam, non enim hoc e&longs;t argumentari &agrave; permutata ratione, deberet enim <lb/>inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad&shy;<lb/>modum effectus nouus ad antiquum. </s> <s>nego, ait; qui&longs;piam con&longs;equen&shy;<pb pagenum="8"/>tiam, non enim hoc e&longs;t argumentari &agrave; permutata ratione, deberet enim <lb/>inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad&shy;<lb/>modum effectus nouus ad antiquum. </s>
 174  
 175 <s>qu&aelig; vitio&longs;a argumentatio quan&shy;<lb/>tumuis l&aelig;uis &longs;it, &amp; manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o&shy;<lb/>phantes ade&ograve; tor&longs;it, vt adhuc torqueat.</s></p><p type="main"> <s>qu&aelig; vitio&longs;a argumentatio quan&shy;<lb/>tumuis l&aelig;uis &longs;it, &amp; manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o&shy;<lb/>phantes ade&ograve; tor&longs;it, vt adhuc torqueat.</s></p><p type="main">
 176  
 177 <s>Quanta autem mi&longs;eratione digni, qui public&egrave; aliquando apud &longs;uos <lb/>auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle&shy;<lb/>re conati &longs;unt, propterea quod ill&aelig; vi&longs;uales line&aelig;, illi anguli, ill&aelig; pyra&shy;<lb/>mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/>qu&aelig;dam opticorum figmenta. </s> <s>Quanta autem mi&longs;eratione digni, qui public&egrave; aliquando apud &longs;uos <lb/>auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle&shy;<lb/>re conati &longs;unt, propterea quod ill&aelig; vi&longs;uales line&aelig;, illi anguli, ill&aelig; pyra&shy;<lb/>mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/>qu&aelig;dam opticorum figmenta. </s>
 178  
 179 <s>Qu&igrave; ver&ograve; fieri potuit, vt non aduerterint <lb/>i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;&aelig;pius 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, &amp; <lb/>opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam ver&aelig; &longs;cienti&aelig; mentionem <lb/>&longs;&aelig;pius facit.</s></p><p type="main"> <s>Qu&igrave; ver&ograve; fieri potuit, vt non aduerterint <lb/>i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;&aelig;pius 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, &amp; <lb/>opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam ver&aelig; &longs;cienti&aelig; mentionem <lb/>&longs;&aelig;pius facit.</s></p><p type="main">
 180  
 181 <s>Alij ex altera parte contra A&longs;tronomos in &longs;urgunt, eccentricos, <expan abbr="atq;">atque</expan> <lb/>epiciclos omnes de c&oelig;lo detrahere cupientes. </s> <s>Alij ex altera parte contra A&longs;tronomos in &longs;urgunt, eccentricos, <expan abbr="atq;">atque</expan> <lb/>epiciclos omnes de c&oelig;lo detrahere cupientes. </s>
 182  
 183 <s>Verum id i&longs;ti nulla ex&shy;<lb/>pre&longs;&longs;a nedum probabili ratione faciunt, fals&ograve; exi&longs;timantes A&longs;tronomos <lb/>admirandam illam C&oelig;lorum 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="appell&atilde;t">appellant</expan>, <lb/>non a&longs;&longs;erunt. </s> <s>Verum id i&longs;ti nulla ex&shy;<lb/>pre&longs;&longs;a nedum probabili ratione faciunt, fals&ograve; exi&longs;timantes A&longs;tronomos <lb/>admirandam illam C&oelig;lorum 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="appell&atilde;t">appellant</expan>, <lb/>non a&longs;&longs;erunt. </s>
 184  
 185 <s>Quod &longs;i aliqua probabili ratione id facerent, vti nonnulli <lb/>ex recentioribus, quorum Ticho Coripheus e&longs;t, laudandi potius, quam <lb/>vituperandi e&longs;&longs;ent. </s> <s>Quod &longs;i aliqua probabili ratione id facerent, vti nonnulli <lb/>ex recentioribus, quorum Ticho Coripheus e&longs;t, laudandi potius, quam <lb/>vituperandi e&longs;&longs;ent. </s>
 186  
 187 <s>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;&aelig;p&egrave; hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa&shy;<lb/>tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s> <s>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;&aelig;p&egrave; hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa&shy;<lb/>tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s>
 188  
 189 <s>Nec defuit <lb/>qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui&shy;<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/>motu diurno, &amp; proprio ab occidente in orientem. </s> <s>Nec defuit <lb/>qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui&shy;<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/>motu diurno, &amp; proprio ab occidente in orientem. </s>
 190  
 191 <s>Sed exi&longs;timandum <lb/>e&longs;t <expan abbr="i&longs;t&utilde;">i&longs;tum</expan> Lunam nouam &agrave; Sole quotidie magis, ac magis ver&longs;us orientem <lb/>recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor&shy;<lb/>diam didici&longs;&longs;et.</s></p><p type="main"> <s>Sed exi&longs;timandum <lb/>e&longs;t <expan abbr="i&longs;t&utilde;">i&longs;tum</expan> Lunam nouam &agrave; Sole quotidie magis, ac magis ver&longs;us orientem <lb/>recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor&shy;<lb/>diam didici&longs;&longs;et.</s></p><p type="main">
 192  
 193 <s>Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om&shy;<lb/>nium tamen <expan abbr="Mathematicar&utilde;">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio&shy;<lb/>ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/>quo &agrave; Mathematicis effertur negare non erubuit, e&ograve;, quod in infinito, <lb/>vt aiebat non concederetur ab omnibus. </s> <s>Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om&shy;<lb/>nium tamen <expan abbr="Mathematicar&utilde;">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio&shy;<lb/>ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/>quo &agrave; Mathematicis effertur negare non erubuit, e&ograve;, quod in infinito, <lb/>vt aiebat non concederetur ab omnibus. </s>
 194  
 195 <s>&longs;cilicet non intelligebat ma&shy;<lb/>thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/>in qua axioma pr&aelig;dictum ab omnibus conceditur. </s> <s>&longs;cilicet non intelligebat ma&shy;<lb/>thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/>in qua axioma pr&aelig;dictum ab omnibus conceditur. </s>
 196  
 197 <s>Neque vero hic <lb/>nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/>c&ograve; progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien&shy;<pb pagenum="9"/>tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu&shy;<lb/>gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/>qu&agrave;m quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/>qu&aelig; cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi&shy;<lb/>bus vafr&egrave; per&longs;uadere conabatur. </s> <s>Neque vero hic <lb/>nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/>c&ograve; progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien&shy;<pb pagenum="9"/>tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu&shy;<lb/>gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/>qu&agrave;m quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/>qu&aelig; cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi&shy;<lb/>bus vafr&egrave; per&longs;uadere conabatur. </s>
 198  
 199 <s>Verum enim ver&ograve; optim&egrave; &longs;cio, ea, <lb/>qu&ecedil; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua&shy;<lb/>drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe&shy;<lb/>maticis &longs;uffulti, optim&egrave; &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/>non &longs;ine magno compendio aggrediuntur. </s> <s>Verum enim ver&ograve; optim&egrave; &longs;cio, ea, <lb/>qu&ecedil; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua&shy;<lb/>drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe&shy;<lb/>maticis &longs;uffulti, optim&egrave; &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/>non &longs;ine magno compendio aggrediuntur. </s>
 200  
 201 <s>Quo fit, vt c&aelig;teros ageo&shy;<lb/>metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, &amp; <expan abbr="debe&atilde;t">debeant</expan>; <lb/>tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/>Bonamicus, &amp; alij, quibus paulo antiquiores fuerunt D. Tho. <!-- REMOVE S-->&amp; Scotus, <lb/>Hiomnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o&shy;<lb/>phantes excelluerint, nemo e&longs;t qui non nouerit. </s> <s>Quo fit, vt c&aelig;teros ageo&shy;<lb/>metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, &amp; <expan abbr="debe&atilde;t">debeant</expan>; <lb/>tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/>Bonamicus, &amp; alij, quibus paulo antiquiores fuerunt D. Tho. <!-- REMOVE S-->&amp; Scotus, <lb/>Hiomnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o&shy;<lb/>phantes excelluerint, nemo e&longs;t qui non nouerit. </s>
 202  
 203  
 204  
 205 <s>Illud hoc loco minim&egrave; <lb/>tacendum, Iacobum Zabarellam in &longs;uis logic&aelig; commentarijs te&longs;tari &longs;e <lb/>bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfect&egrave; Ari&longs;t.  <s>Illud hoc loco minim&egrave; <lb/>tacendum, Iacobum Zabarellam in &longs;uis logic&aelig; commentarijs te&longs;tari &longs;e <lb/>bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfect&egrave; Ari&longs;t.
 206  
 207 de <lb/>demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s></p><p type="main"> de <lb/>demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s></p><p type="main">
 208  
 209 <s>Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minim&egrave; <lb/>effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue&shy;<lb/>runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca&shy;<lb/>rentes afficiuntur.</s></p><p type="main"> <s>Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minim&egrave; <lb/>effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue&shy;<lb/>runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca&shy;<lb/>rentes afficiuntur.</s></p><p type="main">
 210  
 211 <s>In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/>e&longs;&longs;et damna &agrave; me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s> <s>In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/>e&longs;&longs;et damna &agrave; me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s>
 212  
 213 <s>Quaprop&shy;<lb/>ter loca h&aelig;c mathematica num rect&egrave; e&longs;&longs;ent &egrave; gr&aelig;co in latinum tran&longs;lata <lb/>diligenter prius expendi. </s> <s>Quaprop&shy;<lb/>ter loca h&aelig;c mathematica num rect&egrave; e&longs;&longs;ent &egrave; gr&aelig;co in latinum tran&longs;lata <lb/>diligenter prius expendi. </s>
 214  
 215 <s>Deinde claritate, qu&agrave;m potui max ma eadem <lb/>loca interpretatus &longs;um, &amp; in horum, de quibus dixi gratiam, qu&aelig;dam <lb/>fan&egrave; tenuia pro&longs;equutus &longs;um, qu&aelig; alioquin libenter omi&longs;i&longs;&longs;em. </s> <s>Deinde claritate, qu&agrave;m potui max ma eadem <lb/>loca interpretatus &longs;um, &amp; in horum, de quibus dixi gratiam, qu&aelig;dam <lb/>fan&egrave; tenuia pro&longs;equutus &longs;um, qu&aelig; alioquin libenter omi&longs;i&longs;&longs;em. </s>
 216  
 217 <s>Tum fi&shy;<lb/>guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s> <s>Tum fi&shy;<lb/>guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s>
 218  
 219 <s>Hocigitur <lb/>mo&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere, <lb/><expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo &agrave; Lectore ma&shy;<lb/>thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini&shy;<lb/>tiones, po&longs;tulata, &amp; axiomata, qu&aelig; prim&ograve; Euclideis libro pr&aelig;ponuntur, <lb/>diligenter prius perlegat cum illa &longs;ua per&longs;picuitate ommbus &longs;int obuia; <lb/>c&aelig;tera ego explicanda recipio. </s> <s>Hocigitur <lb/>mo&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere, <lb/><expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo &agrave; Lectore ma&shy;<lb/>thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini&shy;<lb/>tiones, po&longs;tulata, &amp; axiomata, qu&aelig; prim&ograve; Euclideis libro pr&aelig;ponuntur, <lb/>diligenter prius perlegat cum illa &longs;ua per&longs;picuitate ommbus &longs;int obuia; <lb/>c&aelig;tera ego explicanda recipio. </s>
 220  
 221 <s>Obiter etiam auctaria nonnulla partim <lb/>mathematica, partim naturalia in&longs;erui, qu&aelig; ob nouitatem, ac pulchri&shy;<lb/>cudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s></p><p type="main"> <s>Obiter etiam auctaria nonnulla partim <lb/>mathematica, partim naturalia in&longs;erui, qu&aelig; ob nouitatem, ac pulchri&shy;<lb/>cudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s></p><p type="main">
 222  
 223 <s>Sciat pr&aelig;terea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca h&aelig;c mathemati&shy;<lb/>ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, qu&aelig; ex ma&shy;<lb/>thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan&shy;<lb/>tum harum rerum cum illis connexio po&longs;tulat.</s></p><pb pagenum="10"/><p type="main"> <s>Sciat pr&aelig;terea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca h&aelig;c mathemati&shy;<lb/>ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, qu&aelig; ex ma&shy;<lb/>thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan&shy;<lb/>tum harum rerum cum illis connexio po&longs;tulat.</s></p><pb pagenum="10"/><p type="main">
 224  
 225 <s>His omnibus placuit appendices opportune nonnullas addere, qua&shy;<lb/>rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes <lb/>demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex&shy;<lb/>penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&ecedil;q;">vnaqu&ecedil;que</expan> <lb/>debeat, &amp; ex illis de c&aelig;teris iudicium fiat. </s> <s>His omnibus placuit appendices opportune nonnullas addere, qua&shy;<lb/>rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes <lb/>demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex&shy;<lb/>penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&ecedil;q;">vnaqu&ecedil;que</expan> <lb/>debeat, &amp; ex illis de c&aelig;teris iudicium fiat. </s>
 226  
 227 <s>Tandem in gratiam etiam <lb/>Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t. <lb/><!-- REMOVE S-->Geometrica ad Euclidis ordinem referuntur; vnde &amp; ip&longs;i ad &longs;uas pr&ecedil;le&shy;<lb/>ctiones exornandas aliquid &longs;ubinde depromere queant.</s> <s>Tandem in gratiam etiam <lb/>Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t. <lb/><!-- REMOVE S-->Geometrica ad Euclidis ordinem referuntur; vnde &amp; ip&longs;i ad &longs;uas pr&ecedil;le&shy;<lb/>ctiones exornandas aliquid &longs;ubinde depromere queant.</s>
 228  
 229 </p><p type="main"> </p><p type="main">
 230  
 231 <s>Fruere igitur amice Lector hoc no&longs;tro qualiquali labore, quo ad ple&shy;<lb/>nam totius Ari&longs;t.  <s>Fruere igitur amice Lector hoc no&longs;tro qualiquali labore, quo ad ple&shy;<lb/>nam totius Ari&longs;t.
 232  
 233 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&shy;<lb/>dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide&shy;<lb/>licet, opus hoc <emph type="italics"/>Aristot elic&aelig; expo&longs;itionis complementum ad hanc v&longs;que <lb/>diem de&longs;ideratum<emph.end type="italics"/> iure ac merit&ograve; nuncupari po&longs;&longs;e.</s></p><p type="main"> 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&shy;<lb/>dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide&shy;<lb/>licet, opus hoc <emph type="italics"/>Aristot elic&aelig; expo&longs;itionis complementum ad hanc v&longs;que <lb/>diem de&longs;ideratum<emph.end type="italics"/> iure ac merit&ograve; nuncupari po&longs;&longs;e.</s></p><p type="main">
 234  
 235 <s>Illud demum tanquam parergon addam, quod ego his elucubran&shy;<lb/>dis experientia didici, ad veram &longs;cilicet, ac perfectam to&shy;<lb/>tius Ari&longs;totelis intelligentiam lingu&aelig; in primis <lb/>gr&aelig;c&aelig;, necnon mathematicarum om&shy;<lb/>nium di&longs;ciplinarum haud medio&shy;<lb/>crem cognitionem ne&shy;<lb/>ce&longs;&longs;ariam e&longs;&longs;e. <lb/></s> <s>Illud demum tanquam parergon addam, quod ego his elucubran&shy;<lb/>dis experientia didici, ad veram &longs;cilicet, ac perfectam to&shy;<lb/>tius Ari&longs;totelis intelligentiam lingu&aelig; in primis <lb/>gr&aelig;c&aelig;, necnon mathematicarum om&shy;<lb/>nium di&longs;ciplinarum haud medio&shy;<lb/>crem cognitionem ne&shy;<lb/>ce&longs;&longs;ariam e&longs;&longs;e. <lb/></s>
 236  
 237 <s>Vale.<!-- KEEP S--></s></p></section><pb pagenum="11"/><section><p type="head"> <s>Vale.<!-- KEEP S--></s></p></section><pb pagenum="11"/><section><p type="head">
 238  
 239 <s>Pr&ecedil;cipua qu&ecedil;dam, aut noua, autre&longs;taurata, <lb/>qu&aelig; obiter pertractantur.<lb/><arrow.to.target n="table1"/></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>1<emph.end type="italics"/></cell><cell><emph type="italics"/>De re&longs;olutione. numero marginali.<emph.end type="italics"/></cell><cell><emph type="italics"/>4<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>2<emph.end type="italics"/></cell><cell><emph type="italics"/>De figuris vacuum replentibus, vbi Aristotelis, &amp; expo-&longs;itorum erratum aperitur. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>121<emph.end type="italics"/></cell></row><row><cell/><cell><emph type="italics"/>Inibi, Apum mirabilis qu&aelig;dam in cellis &longs;uis hexagonis   constituendis indu&longs;tria detegitur. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>120<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>3<emph.end type="italics"/></cell><cell><emph type="italics"/>De ijs, qu&aelig; aqu&aelig; in&longs;ident, vn&agrave; cum noua demonstratione problema-tis illius Archimedis, quo metallorum mixtionem indi&longs;&longs;oluta Co-rona, explorauit. in additione. ante num.<emph.end type="italics"/></cell><cell><emph type="italics"/>124<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>4<emph.end type="italics"/></cell><cell><emph type="italics"/>De Cometa, recentiorum &longs;ententia. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>136<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>5<emph.end type="italics"/></cell><cell><emph type="italics"/>De altitudine montis Cauca&longs;i.<emph.end type="italics"/></cell><cell><emph type="italics"/>148<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>6<emph.end type="italics"/></cell><cell><emph type="italics"/>De Terr&aelig; rotunditate, ac mundi duratione.<emph.end type="italics"/></cell><cell><emph type="italics"/>151<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>7<emph.end type="italics"/></cell><cell><emph type="italics"/>De Iride. in additione.<emph.end type="italics"/></cell><cell><emph type="italics"/>181<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>8<emph.end type="italics"/></cell><cell><emph type="italics"/>Scytala quid.<emph.end type="italics"/></cell><cell><emph type="italics"/>250<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>9<emph.end type="italics"/></cell><cell><emph type="italics"/>Securis antiqua qu&aelig;, &amp; qua ratione fieret.<emph.end type="italics"/></cell><cell><emph type="italics"/>258<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>10<emph.end type="italics"/></cell><cell><emph type="italics"/>Statera antiqua qu&aelig;,<emph.end type="italics"/></cell><cell><emph type="italics"/>259<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>11<emph.end type="italics"/></cell><cell><emph type="italics"/>De Ae&longs;tu Maris.<emph.end type="italics"/></cell><cell><emph type="italics"/>272<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>12<emph.end type="italics"/></cell><cell><emph type="italics"/>Araneorum indu&longs;tria nuper patefacta: vbi Democritus contra Ari&longs;t.   defenditur.<emph.end type="italics"/></cell><cell><emph type="italics"/>293<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>13<emph.end type="italics"/></cell><cell><emph type="italics"/>De Lucis figuratione, &amp; rerum &longs;imulacris in ob&longs;curo loco.<emph.end type="italics"/></cell><cell><emph type="italics"/>345<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>14<emph.end type="italics"/></cell><cell><emph type="italics"/>De Pupilla oculi.<emph.end type="italics"/></cell><cell><emph type="italics"/>408<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>15<emph.end type="italics"/></cell><cell><emph type="italics"/>De Mathematicarum natura. prop&egrave; finem operis.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>16<emph.end type="italics"/></cell><cell><emph type="italics"/>Clarorum Mathematicorum Chronologia, in fine operis.<emph.end type="italics"/></cell><cell/></row></table></section><pb pagenum="12"/><section><p type="head"> <s>Pr&ecedil;cipua qu&ecedil;dam, aut noua, autre&longs;taurata, <lb/>qu&aelig; obiter pertractantur.<lb/><arrow.to.target n="table1"/></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>1<emph.end type="italics"/></cell><cell><emph type="italics"/>De re&longs;olutione. numero marginali.<emph.end type="italics"/></cell><cell><emph type="italics"/>4<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>2<emph.end type="italics"/></cell><cell><emph type="italics"/>De figuris vacuum replentibus, vbi Aristotelis, &amp; expo-&longs;itorum erratum aperitur. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>121<emph.end type="italics"/></cell></row><row><cell/><cell><emph type="italics"/>Inibi, Apum mirabilis qu&aelig;dam in cellis &longs;uis hexagonis   constituendis indu&longs;tria detegitur. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>120<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>3<emph.end type="italics"/></cell><cell><emph type="italics"/>De ijs, qu&aelig; aqu&aelig; in&longs;ident, vn&agrave; cum noua demonstratione problema-tis illius Archimedis, quo metallorum mixtionem indi&longs;&longs;oluta Co-rona, explorauit. in additione. ante num.<emph.end type="italics"/></cell><cell><emph type="italics"/>124<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>4<emph.end type="italics"/></cell><cell><emph type="italics"/>De Cometa, recentiorum &longs;ententia. num.<emph.end type="italics"/></cell><cell><emph type="italics"/>136<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>5<emph.end type="italics"/></cell><cell><emph type="italics"/>De altitudine montis Cauca&longs;i.<emph.end type="italics"/></cell><cell><emph type="italics"/>148<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>6<emph.end type="italics"/></cell><cell><emph type="italics"/>De Terr&aelig; rotunditate, ac mundi duratione.<emph.end type="italics"/></cell><cell><emph type="italics"/>151<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>7<emph.end type="italics"/></cell><cell><emph type="italics"/>De Iride. in additione.<emph.end type="italics"/></cell><cell><emph type="italics"/>181<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>8<emph.end type="italics"/></cell><cell><emph type="italics"/>Scytala quid.<emph.end type="italics"/></cell><cell><emph type="italics"/>250<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>9<emph.end type="italics"/></cell><cell><emph type="italics"/>Securis antiqua qu&aelig;, &amp; qua ratione fieret.<emph.end type="italics"/></cell><cell><emph type="italics"/>258<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>10<emph.end type="italics"/></cell><cell><emph type="italics"/>Statera antiqua qu&aelig;,<emph.end type="italics"/></cell><cell><emph type="italics"/>259<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>11<emph.end type="italics"/></cell><cell><emph type="italics"/>De Ae&longs;tu Maris.<emph.end type="italics"/></cell><cell><emph type="italics"/>272<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>12<emph.end type="italics"/></cell><cell><emph type="italics"/>Araneorum indu&longs;tria nuper patefacta: vbi Democritus contra Ari&longs;t.   defenditur.<emph.end type="italics"/></cell><cell><emph type="italics"/>293<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>13<emph.end type="italics"/></cell><cell><emph type="italics"/>De Lucis figuratione, &amp; rerum &longs;imulacris in ob&longs;curo loco.<emph.end type="italics"/></cell><cell><emph type="italics"/>345<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>14<emph.end type="italics"/></cell><cell><emph type="italics"/>De Pupilla oculi.<emph.end type="italics"/></cell><cell><emph type="italics"/>408<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>15<emph.end type="italics"/></cell><cell><emph type="italics"/>De Mathematicarum natura. prop&egrave; finem operis.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>16<emph.end type="italics"/></cell><cell><emph type="italics"/>Clarorum Mathematicorum Chronologia, in fine operis.<emph.end type="italics"/></cell><cell/></row></table></section><pb pagenum="12"/><section><p type="head">
 240  
 241 <s><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> <s><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 242  
 243 <s><emph type="italics"/>Qu&aelig; in hoc opere explicantur, iuxta ordine librorum <lb/>ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Qu&aelig; in hoc opere explicantur, iuxta ordine librorum <lb/>ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s></p><p type="head">
 244  
 245 <s>In Pr&aelig;dicamentis.</s></p><p type="main"> <s>In Pr&aelig;dicamentis.</s></p><p type="main">
 246  
 247 <s><emph type="italics"/>Gapite s. </s> <s><emph type="italics"/>Gapite s. </s>
 248  
 249 <s>de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s></p><p type="main"> <s>de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s></p><p type="main">
 250  
 251 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 252  
 253 de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s></p><p type="main"> de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s></p><p type="main">
 254  
 255 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 256  
 257 de Motu, vbi de Gnomone.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> de Motu, vbi de Gnomone.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 258  
 259 <s>In Primo Priorum Re&longs;olutoriorum.</s></p><p type="main"> <s>In Primo Priorum Re&longs;olutoriorum.</s></p><p type="main">
 260  
 261 <s><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s></p><p type="main">
 262  
 263 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 264  
 265 23. &longs;ect 1. libri 1. de Incommen &longs;ur abilibus.<emph.end type="italics"/></s></p><p type="main"> 23. &longs;ect 1. libri 1. de Incommen &longs;ur abilibus.<emph.end type="italics"/></s></p><p type="main">
 266  
 267 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 268  
 269 24. &longs;ecti 1. lib.  24. &longs;ecti 1. lib.
 270  
 271 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 272  
 273 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 274  
 275 2. &longs;ect 2. lib.  2. &longs;ect 2. lib.
 276  
 277 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 1. de De&longs;criptionibus.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 278  
 279 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 280  
 281 3. &longs;ecti 2. lib.  3. &longs;ecti 2. lib.
 282  
 283 1. de Incommen&longs;urabili.<emph.end type="italics"/></s></p><p type="main"> 1. de Incommen&longs;urabili.<emph.end type="italics"/></s></p><p type="main">
 284  
 285 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 286  
 287 1. &longs;ecti 3. lib.  1. &longs;ecti 3. lib.
 288  
 289 1. de eo, quod est, omnis triangulus habet tres angulos &aelig;quales <lb/>&aelig;quales duobus rectis: Aequalitas Geometrica, qu&aelig;.<emph.end type="italics"/></s></p><p type="main"> 1. de eo, quod est, omnis triangulus habet tres angulos &aelig;quales <lb/>&aelig;quales duobus rectis: Aequalitas Geometrica, qu&aelig;.<emph.end type="italics"/></s></p><p type="main">
 290  
 291 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 292  
 293 eodem, de exemplis, quibus vtuntar Geometr&aelig;.<emph.end type="italics"/></s></p><p type="head"> eodem, de exemplis, quibus vtuntar Geometr&aelig;.<emph.end type="italics"/></s></p><p type="head">
 294  
 295 <s>In &longs;ecundo Priorum Re&longs;ol.<!-- REMOVE S--><emph type="italics"/>Cap.  <s>In &longs;ecundo Priorum Re&longs;ol.<!-- REMOVE S--><emph type="italics"/>Cap.
 296  
 297 21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s></p><p type="main"> 21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s></p><p type="main">
 298  
 299 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 300  
 301 eodem. </s> eodem. </s>
 302  
 303 <s>de Paralellis, &amp; de triangulo.<emph.end type="italics"/></s></p><p type="main"> <s>de Paralellis, &amp; de triangulo.<emph.end type="italics"/></s></p><p type="main">
 304  
 305 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 306  
 307 26. Quod omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 26. Quod omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 308  
 309 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 310  
 311 31. de Abductione.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 31. de Abductione.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 312  
 313 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 314  
 315 codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 316  
 317 <s>In primo Po&longs;teriorum.</s></p><p type="main"> <s>In primo Po&longs;teriorum.</s></p><p type="main">
 318  
 319 <s><emph type="italics"/>Textu primo, De Pr&aelig;cognitis Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Textu primo, De Pr&aelig;cognitis Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 320  
 321 <s><emph type="italics"/>T. 2. Omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 2. Omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 322  
 323 <s><emph type="italics"/>T. 5. De Diametro incommen&longs;urabili. </s> <s><emph type="italics"/>T. 5. De Diametro incommen&longs;urabili. </s>
 324  
 325 <s>Item De Mathematicarum Principijs.<emph.end type="italics"/></s></p><p type="main"> <s>Item De Mathematicarum Principijs.<emph.end type="italics"/></s></p><p type="main">
 326  
 327 <s><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s></p><p type="main">
 328  
 329 <s><emph type="italics"/>T. 9. De Puncto, &amp; linea. </s> <s><emph type="italics"/>T. 9. De Puncto, &amp; linea. </s>
 330  
 331 <s>Item de recto, &amp; circulari. </s> <s>Item de recto, &amp; circulari. </s>
 332  
 333 <s>Item de numero pari, impari;<lb/>primo, &amp; compo&longs;ito; &aelig;quilatero, &amp; altera parte longiore.<emph.end type="italics"/></s></p><p type="main"> <s>Item de numero pari, impari;<lb/>primo, &amp; compo&longs;ito; &aelig;quilatero, &amp; altera parte longiore.<emph.end type="italics"/></s></p><p type="main">
 334  
 335 <s><emph type="italics"/>T. 11. Line&aelig; punctum inest per &longs;e, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 11. Line&aelig; punctum inest per &longs;e, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 336  
 337 <s><emph type="italics"/>T. 13. De Parallelis. <!-- KEEP S--></s> <s><emph type="italics"/>T. 13. De Parallelis. <!-- KEEP S--></s>
 338  
 339 <s>De I&longs;o&longs;cele. </s> <s>De I&longs;o&longs;cele. </s>
 340  
 341 <s>De Alterna Proportione, <lb/>Item quod omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>De Alterna Proportione, <lb/>Item quod omnis triangulus habet tres, &amp; c.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 342  
 343 <s><emph type="italics"/>T. 14. De ij&longs;aem cum pr&aelig;cedentibus.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 14. De ij&longs;aem cum pr&aelig;cedentibus.<emph.end type="italics"/></s></p><p type="main">
 344  
 345 <s><emph type="italics"/>T. 20. Magnitudines euadunt numeri. </s> <s><emph type="italics"/>T. 20. Magnitudines euadunt numeri. </s>
 346  
 347 <s>Item, quod non duo cubi cubus. </s> <s>Item, quod non duo cubi cubus. </s>
 348  
 349 <s>Item de <lb/>Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s></p><p type="main"> <s>Item de <lb/>Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s></p><p type="main">
 350  
 351 <s><emph type="italics"/>T. 23. Quadratura circuli &longs;ecundum Bry&longs;onem. </s> <s><emph type="italics"/>T. 23. Quadratura circuli &longs;ecundum Bry&longs;onem. </s>
 352  
 353 <s>Item per&longs;ectam illam e&longs;&longs;e Demon&shy;<lb/>&longs;trationem, qua Geometr&aelig; o&longs;tendunt, quod Omnis triangulus habet tres, &amp; c. <lb/><!-- KEEP S--></s> <s>Item per&longs;ectam illam e&longs;&longs;e Demon&shy;<lb/>&longs;trationem, qua Geometr&aelig; o&longs;tendunt, quod Omnis triangulus habet tres, &amp; c. <lb/><!-- KEEP S--></s>
 354  
 355 <s>Per&longs;pectinam, &amp; Mechanicam &longs;ubalternari Geometri&aelig;, Mu&longs;icam, Arithmetic&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Per&longs;pectinam, &amp; Mechanicam &longs;ubalternari Geometri&aelig;, Mu&longs;icam, Arithmetic&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 356  
 357 <s><emph type="italics"/>T. 24. De numero pari, impari, quodrangulo, cubo. </s> <s><emph type="italics"/>T. 24. De numero pari, impari, quodrangulo, cubo. </s>
 358  
 359 <s>In Geometria quid irrationale, <lb/>refrangi, concurrere. </s> <s>In Geometria quid irrationale, <lb/>refrangi, concurrere. </s>
 360  
 361 <s>Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s></p><p type="main"> <s>Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s></p><p type="main">
 362  
 363 <s><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s></p><p type="main">
 364  
 365 <s><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="13"/><p type="main"> <s><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="13"/><p type="main">
 366  
 367 <s><emph type="italics"/>T. 29. Cur in Mathematicis non &longs;it Paralogi&longs;mus. <!-- KEEP S--></s> <s><emph type="italics"/>T. 29. Cur in Mathematicis non &longs;it Paralogi&longs;mus. <!-- KEEP S--></s>
 368  
 369 <s>Item quid multiplicata propor&shy;<lb/>tio. </s> <s>Item quid multiplicata propor&shy;<lb/>tio. </s>
 370  
 371 <s>Quid C&aelig;neus dixerit. </s> <s>Quid C&aelig;neus dixerit. </s>
 372  
 373 <s>Cur Affectiones Mathematicor&ubreve; maxim&egrave; <expan abbr="conuert&atilde;tur">conuertantur</expan>.<emph.end type="italics"/></s></p><p type="main"> <s>Cur Affectiones Mathematicor&ubreve; maxim&egrave; <expan abbr="conuert&atilde;tur">conuertantur</expan>.<emph.end type="italics"/></s></p><p type="main">
 374  
 375 <s><emph type="italics"/>T. 30. De Lun&aelig; &longs;ph&aelig;ricitate. </s> <s><emph type="italics"/>T. 30. De Lun&aelig; &longs;ph&aelig;ricitate. </s>
 376  
 377 <s>Quid &longs;tereometria. </s> <s>Quid &longs;tereometria. </s>
 378  
 379 <s>&amp; De &longs;ubalternatione, &amp;c. </s> <s>&amp; De &longs;ubalternatione, &amp;c. </s>
 380  
 381 <s>&amp; Ma&shy;<lb/>thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum ver&ograve; &longs;cire Quod.<emph.end type="italics"/></s></p><p type="main"> <s>&amp; Ma&shy;<lb/>thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum ver&ograve; &longs;cire Quod.<emph.end type="italics"/></s></p><p type="main">
 382  
 383 <s><emph type="italics"/>T. 37. I&longs;o&longs;celes, &amp; Scalenum habere tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 37. I&longs;o&longs;celes, &amp; Scalenum habere tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 384  
 385 <s><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 386  
 387 <s><emph type="italics"/>T. 39. Habere tres angulos &aelig;quales, &amp;c. </s> <s><emph type="italics"/>T. 39. Habere tres angulos &aelig;quales, &amp;c. </s>
 388  
 389 <s>Item, quod omnis figura habet &longs;uos angu&shy;<lb/>los externos &aelig;quales quatuor tantum rectis.<emph.end type="italics"/></s></p><p type="main"> <s>Item, quod omnis figura habet &longs;uos angu&shy;<lb/>los externos &aelig;quales quatuor tantum rectis.<emph.end type="italics"/></s></p><p type="main">
 390  
 391 <s><emph type="italics"/>T. 43. Triangulum tres &aelig;quales, &amp;c. </s> <s><emph type="italics"/>T. 43. Triangulum tres &aelig;quales, &amp;c. </s>
 392  
 393 <s>De Eclyp&longs;i.<emph.end type="italics"/></s></p><p type="main"> <s>De Eclyp&longs;i.<emph.end type="italics"/></s></p><p type="main">
 394  
 395 <s><emph type="italics"/>De combu&longs;tione per refractionem ex &longs;ph&aelig;ra vitrea. </s> <s><emph type="italics"/>De combu&longs;tione per refractionem ex &longs;ph&aelig;ra vitrea. </s>
 396  
 397 <s>De principijs &longs;cientiarum.<emph.end type="italics"/></s></p><p type="main"> <s>De principijs &longs;cientiarum.<emph.end type="italics"/></s></p><p type="main">
 398  
 399 <s><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head">
 400  
 401 <s>In 2. Po&longs;teriorum.</s></p><p type="main"> <s>In 2. Po&longs;teriorum.</s></p><p type="main">
 402  
 403 <s><emph type="italics"/>T. 1. Aequalitas, &amp; in&aelig;qualitas. </s> <s><emph type="italics"/>T. 1. Aequalitas, &amp; in&aelig;qualitas. </s>
 404  
 405 <s>Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per&shy;<lb/>fect&egrave; demon&longs;tratur. </s> <s>Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per&shy;<lb/>fect&egrave; demon&longs;tratur. </s>
 406  
 407 <s>Item Quid con&longs;onantia.<emph.end type="italics"/></s></p><p type="main"> <s>Item Quid con&longs;onantia.<emph.end type="italics"/></s></p><p type="main">
 408  
 409 <s><emph type="italics"/>T. 2. Omnis triangulus habet tres, &amp;c. </s> <s><emph type="italics"/>T. 2. Omnis triangulus habet tres, &amp;c. </s>
 410  
 411 <s>Item de Definitionibus Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Item de Definitionibus Mathematicarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 412  
 413 <s><emph type="italics"/>T. 7. Geometra, qu&aelig;dam accipit, qu&aelig;dam demon&longs;trat.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 7. Geometra, qu&aelig;dam accipit, qu&aelig;dam demon&longs;trat.<emph.end type="italics"/></s></p><p type="main">
 414  
 415 <s><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari &agrave; Geometra per cau&longs;am materia&shy;<lb/>lem. </s> <s><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari &agrave; Geometra per cau&longs;am materia&shy;<lb/>lem. </s>
 416  
 417 <s>Zabarella correctus.<emph.end type="italics"/></s></p><p type="main"> <s>Zabarella correctus.<emph.end type="italics"/></s></p><p type="main">
 418  
 419 <s><emph type="italics"/>T. 24. Echo, Imago &egrave; &longs;peculo, Iris.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 24. Echo, Imago &egrave; &longs;peculo, Iris.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 420  
 421 <s><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s></p><p type="head">
 422  
 423 <s>In primo lib. <!-- REMOVE S-->Topicorum.</s> <s>In primo lib. <!-- REMOVE S-->Topicorum.</s>
 424  
 425 </p><p type="main"> </p><p type="main">
 426  
 427 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 428  
 429 13. Diameter est incommen&longs;urabilis. </s> 13. Diameter est incommen&longs;urabilis. </s>
 430  
 431 <s>Vox acuta velox, cur. </s> <s>Vox acuta velox, cur. </s>
 432  
 433 <s>&amp;c. </s> <s>&amp;c. </s>
 434  
 435 <s>Colores in <lb/>Mu&longs;ica, qui. </s> <s>Colores in <lb/>Mu&longs;ica, qui. </s>
 436  
 437 <s>tria genera veteris Mu&longs;ic&aelig;.<emph.end type="italics"/></s></p><p type="head"> <s>tria genera veteris Mu&longs;ic&aelig;.<emph.end type="italics"/></s></p><p type="head">
 438  
 439 <s>In 4. libro.</s></p><p type="main"> <s>In 4. libro.</s></p><p type="main">
 440  
 441 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 442  
 443 1. loco 1. line&aelig; in&longs;ecabiles.<emph.end type="italics"/></s></p><p type="head"> 1. loco 1. line&aelig; in&longs;ecabiles.<emph.end type="italics"/></s></p><p type="head">
 444  
 445 <s>In 6. libro.</s></p><p type="main"> <s>In 6. libro.</s></p><p type="main">
 446  
 447 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 448  
 449 2. loco 32. Definitio line&aelig;.<emph.end type="italics"/></s></p><p type="head"> 2. loco 32. Definitio line&aelig;.<emph.end type="italics"/></s></p><p type="head">
 450  
 451 <s>In 8. libro.</s></p><p type="main"> <s>In 8. libro.</s></p><p type="main">
 452  
 453 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 454  
 455 2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 456  
 457 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 458  
 459 4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s></p><p type="head"> 4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s></p><p type="head">
 460  
 461 <s>In Elenchorum lib.  <s>In Elenchorum lib.
 462  
 463 1.<!-- KEEP S--></s></p><p type="main"> 1.<!-- KEEP S--></s></p><p type="main">
 464  
 465 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 466  
 467 10. Quid P&longs;eudographia. </s> 10. Quid P&longs;eudographia. </s>
 468  
 469 <s>Quadraturarur&longs;us Hippocratis, &amp; Bry&longs;enis. </s> <s>Quadraturarur&longs;us Hippocratis, &amp; Bry&longs;enis. </s>
 470  
 471 <s>Mathe&shy;<lb/>matic&aelig; non contentio&longs;&aelig;. </s> <s>Mathe&shy;<lb/>matic&aelig; non contentio&longs;&aelig;. </s>
 472  
 473 <s>Quadratio Antiphontis.<emph.end type="italics"/></s></p><p type="head"> <s>Quadratio Antiphontis.<emph.end type="italics"/></s></p><p type="head">
 474  
 475 <s>Ex 1. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 1. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 476  
 477 <s><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, &amp; Antiphontis.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, &amp; Antiphontis.<emph.end type="italics"/></s></p><p type="head">
 478  
 479 <s>Ex 2. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 480  
 481 <s><emph type="italics"/>T. 20. Quatenus Per&longs;pectmus con&longs;ideret lineam.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 20. Quatenus Per&longs;pectmus con&longs;ideret lineam.<emph.end type="italics"/></s></p><p type="main">
 482  
 483 <s><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 484  
 485 <s><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes babere cau&longs;am, qu&aelig; reducitur ad defini&shy;<lb/>tionem.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes babere cau&longs;am, qu&aelig; reducitur ad defini&shy;<lb/>tionem.<emph.end type="italics"/></s></p><p type="main">
 486  
 487 <s><emph type="italics"/>T. 8. Denece&longs;&longs;ario, quod e&longs;t in Mathematicis. <!-- KEEP S--></s> <s><emph type="italics"/>T. 8. Denece&longs;&longs;ario, quod e&longs;t in Mathematicis. <!-- KEEP S--></s>
 488  
 489 <s>&amp; omnis triangulus habet tres an&shy;<lb/>gulos, &amp;c.<emph.end type="italics"/></s></p><p type="head"> <s>&amp; omnis triangulus habet tres an&shy;<lb/>gulos, &amp;c.<emph.end type="italics"/></s></p><p type="head">
 490  
 491 <s>Ex 3. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 3. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 492  
 493 <s><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s></p><p type="main">
 494  
 495 <s><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 496  
 497 <s><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="14"/><p type="head"> <s><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="14"/><p type="head">
 498  
 499 <s>Ex 4. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 4. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 500  
 501 <s><emph type="italics"/>T. 120. De commen&longs;urab. </s> <s><emph type="italics"/>T. 120. De commen&longs;urab. </s>
 502  
 503 <s>&amp; incommen&longs;.<emph.end type="italics"/></s></p><p type="head"> <s>&amp; incommen&longs;.<emph.end type="italics"/></s></p><p type="head">
 504  
 505 <s>Ex 5. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 5. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 506  
 507 <s><emph type="italics"/>T. 6. De chordis, graui, acuta; media, &amp; vltima.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 6. De chordis, graui, acuta; media, &amp; vltima.<emph.end type="italics"/></s></p><p type="head">
 508  
 509 <s>Ex 8. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main"> <s>Ex 8. Phy&longs;ic.<!-- KEEP S--></s></p><p type="main">
 510  
 511 <s><emph type="italics"/>T. 15. Omnis triangulus habet tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 15. Omnis triangulus habet tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="head">
 512  
 513 <s>Ex 1. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main"> <s>Ex 1. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main">
 514  
 515 <s><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s></p><p type="main">
 516  
 517 <s><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s></p><p type="main">
 518  
 519 <s><emph type="italics"/>T. 48. Commen&longs;urab. <!-- REMOVE S-->&amp; incommen&longs;urab. </s> <s><emph type="italics"/>T. 48. Commen&longs;urab. <!-- REMOVE S-->&amp; incommen&longs;urab. </s>
 520  
 521  
 522  
 523 <s>quid.<emph.end type="italics"/></s></p><p type="main"> <s>quid.<emph.end type="italics"/></s></p><p type="main">
 524  
 525 <s><emph type="italics"/>T. 119. Omnis triangulus habet tres, &amp;c. </s> <s><emph type="italics"/>T. 119. Omnis triangulus habet tres, &amp;c. </s>
 526  
 527 <s>Item de commen&longs;urabili.<emph.end type="italics"/></s></p><p type="head"> <s>Item de commen&longs;urabili.<emph.end type="italics"/></s></p><p type="head">
 528  
 529 <s>Ex 2. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main">
 530  
 531 <s><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, qu&igrave;.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, qu&igrave;.<emph.end type="italics"/></s></p><p type="main">
 532  
 533 <s><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s></p><p type="main">
 534  
 535 <s><emph type="italics"/>T. 31. Aqu&aelig; &longs;uperficiem e&longs;&longs;e &longs;ph&aelig;ricam.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 31. Aqu&aelig; &longs;uperficiem e&longs;&longs;e &longs;ph&aelig;ricam.<emph.end type="italics"/></s></p><p type="main">
 536  
 537 <s><emph type="italics"/>T. 46. Maiorem circulum velocius moueri. </s> <s><emph type="italics"/>T. 46. Maiorem circulum velocius moueri. </s>
 538  
 539 <s>Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s></p><p type="main"> <s>Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s></p><p type="main">
 540  
 541 <s><emph type="italics"/>T. 57. De ordine C&oelig;lorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 57. De ordine C&oelig;lorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s></p><p type="main">
 542  
 543 <s><emph type="italics"/>T. 59. De rotunditate Lun&aelig;, bis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 59. De rotunditate Lun&aelig;, bis.<emph.end type="italics"/></s></p><p type="main">
 544  
 545 <s><emph type="italics"/>T. 107. Centrum duplex grauit: &amp; molis. </s> <s><emph type="italics"/>T. 107. Centrum duplex grauit: &amp; molis. </s>
 546  
 547 <s>Qua ratione grauia ad mundi centrum <lb/>aptarentur.<emph.end type="italics"/></s></p><p type="main"> <s>Qua ratione grauia ad mundi centrum <lb/>aptarentur.<emph.end type="italics"/></s></p><p type="main">
 548  
 549 <s><emph type="italics"/>T. 109. Terram e&longs;&longs;e rotundam. </s> <s><emph type="italics"/>T. 109. Terram e&longs;&longs;e rotundam. </s>
 550  
 551 <s>alio item modo.<emph.end type="italics"/></s></p><p type="main"> <s>alio item modo.<emph.end type="italics"/></s></p><p type="main">
 552  
 553 <s><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu C&oelig;li.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu C&oelig;li.<emph.end type="italics"/></s></p><p type="main">
 554  
 555 <s><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s></p><p type="main">
 556  
 557 <s><emph type="italics"/>T. 112. De quantitate Terr&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> <s><emph type="italics"/>T. 112. De quantitate Terr&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 558  
 559 <s>Ex 3. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main"> <s>Ex 3. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main">
 560  
 561 <s><emph type="italics"/>T. 40. Vt componatur &longs;ph&aelig;ra.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 40. Vt componatur &longs;ph&aelig;ra.<emph.end type="italics"/></s></p><p type="main">
 562  
 563 <s><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s></p><p type="main">
 564  
 565 <s><emph type="italics"/>T. 66. Qu&aelig;nam planarum figurarum totum &longs;patium repleant. </s> <s><emph type="italics"/>T. 66. Qu&aelig;nam planarum figurarum totum &longs;patium repleant. </s>
 566  
 567 <s>Hinc de admirabili <lb/>Apum mgenio.<emph.end type="italics"/></s></p><p type="main"> <s>Hinc de admirabili <lb/>Apum mgenio.<emph.end type="italics"/></s></p><p type="main">
 568  
 569 <s><emph type="italics"/>T. eodem. </s> <s><emph type="italics"/>T. eodem. </s>
 570  
 571 <s>Num plures Pyramides locum replere valeant, vbi Ari&longs;totiles, &amp; omnes <lb/>expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s></p><p type="main"> <s>Num plures Pyramides locum replere valeant, vbi Ari&longs;totiles, &amp; omnes <lb/>expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s></p><p type="main">
 572  
 573 <s><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s></p><p type="head">
 574  
 575 <s>Ex 4. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main"> <s>Ex 4. de C&oelig;lo.<!-- KEEP S--></s></p><p type="main">
 576  
 577 <s><emph type="italics"/>T. 33. Extare centrum Mundi, qu&ograve; grauia tendunt, &agrave; quo leuia abeant.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 33. Extare centrum Mundi, qu&ograve; grauia tendunt, &agrave; quo leuia abeant.<emph.end type="italics"/></s></p><p type="main">
 578  
 579 <s><emph type="italics"/>T. 44. &amp; <expan abbr="&longs;eq.">&longs;eque</expan> Cur qu&aelig;dam grautora qu&agrave;m aqua, &longs;upernatent.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 44. &amp; <expan abbr="&longs;eq.">&longs;eque</expan> Cur qu&aelig;dam grautora qu&agrave;m aqua, &longs;upernatent.<emph.end type="italics"/></s></p><p type="head">
 580  
 581 <s>Ex 2. de Generatione, &amp; Corruptione.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. de Generatione, &amp; Corruptione.<!-- KEEP S--></s></p><p type="main">
 582  
 583 <s><emph type="italics"/>Tex. 56. Cur Planet&aelig; duobus motibus moueri dicantur.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Tex. 56. Cur Planet&aelig; duobus motibus moueri dicantur.<emph.end type="italics"/></s></p><p type="head">
 584  
 585 <s>Ex 1. Meteororum.<!-- KEEP S--></s></p><p type="main"> <s>Ex 1. Meteororum.<!-- KEEP S--></s></p><p type="main">
 586  
 587 <s><emph type="italics"/>Summa prima cap.  <s><emph type="italics"/>Summa prima cap.
 588  
 589 3. De magnitudine Terr&aelig; ad a&longs;tra, &amp; &longs;olem collata.<emph.end type="italics"/></s></p><p type="main"> 3. De magnitudine Terr&aelig; ad a&longs;tra, &amp; &longs;olem collata.<emph.end type="italics"/></s></p><p type="main">
 590  
 591 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 592  
 593 eodem. </s> eodem. </s>
 594  
 595 <s>De magnitudine A&longs;trorum.<emph.end type="italics"/></s></p><p type="main"> <s>De magnitudine A&longs;trorum.<emph.end type="italics"/></s></p><p type="main">
 596  
 597 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 598  
 599 4. De ordine Luminarium Solis, &amp; Lun&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 4. De ordine Luminarium Solis, &amp; Lun&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 600  
 601 <s><emph type="italics"/>Summa 2. cap.  <s><emph type="italics"/>Summa 2. cap.
 602  
 603 3. de Mercurij stella. </s> 3. de Mercurij stella. </s>
 604  
 605 <s>Item de Cometa: e&longs;&longs;e in C&oelig;lo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Item de Cometa: e&longs;&longs;e in C&oelig;lo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 606  
 607 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 608  
 609 5. De Magnitudine Solis, &amp; de vmbra Terr&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 5. De Magnitudine Solis, &amp; de vmbra Terr&aelig;.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 610  
 611 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 612  
 613 5. De Glaxia.<emph.end type="italics"/></s></p><p type="main"> 5. De Glaxia.<emph.end type="italics"/></s></p><p type="main">
 614  
 615 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 616  
 617 6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde <lb/>aperitur.<emph.end type="italics"/></s></p><pb pagenum="15"/><p type="main"> 6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde <lb/>aperitur.<emph.end type="italics"/></s></p><pb pagenum="15"/><p type="main">
 618  
 619 <s><emph type="italics"/>Summa 4. cap 1. De Monte Parna&longs;&longs;o, dubia. </s> <s><emph type="italics"/>Summa 4. cap 1. De Monte Parna&longs;&longs;o, dubia. </s>
 620  
 621 <s>Mare extraneum, quod. </s> <s>Mare extraneum, quod. </s>
 622  
 623 <s>Errata qu&aelig;&shy;<lb/>dam veterum Geographorum, &amp; Ari&longs;t.  <s>Errata qu&aelig;&shy;<lb/>dam veterum Geographorum, &amp; Ari&longs;t.
 624  
 625 corriguntur. </s> corriguntur. </s>
 626  
 627 <s>Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s></p><p type="main"> <s>Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s></p><p type="main">
 628  
 629 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 630  
 631 2. De permutatione Aquarum, &amp; continentis. </s> 2. De permutatione Aquarum, &amp; continentis. </s>
 632  
 633 <s>Noua ob&longs;eruatio de rotundi&shy;<lb/>tate Terr&aelig;, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s></p><p type="head"> <s>Noua ob&longs;eruatio de rotundi&shy;<lb/>tate Terr&aelig;, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s></p><p type="head">
 634  
 635 <s>Ex 2. Meteororum.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. Meteororum.<!-- KEEP S--></s></p><p type="main">
 636  
 637 <s><emph type="italics"/>Summa 1. cap.  <s><emph type="italics"/>Summa 1. cap.
 638  
 639 1. De Marirubro.<emph.end type="italics"/></s></p><p type="main"> 1. De Marirubro.<emph.end type="italics"/></s></p><p type="main">
 640  
 641 <s><emph type="italics"/>Summa 2. cap.  <s><emph type="italics"/>Summa 2. cap.
 642  
 643 2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s></p><p type="main"> 2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s></p><p type="main">
 644  
 645 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 646  
 647 eodem, De Canicula. </s> eodem, De Canicula. </s>
 648  
 649 <s>De Zonis temperatis. </s> <s>De Zonis temperatis. </s>
 650  
 651 <s>Corona Ariadn&aelig;. </s> <s>Corona Ariadn&aelig;. </s>
 652  
 653 <s>Zonam torridam <lb/>fals&ograve; putabant inho&longs;pitalem. </s> <s>Zonam torridam <lb/>fals&ograve; putabant inho&longs;pitalem. </s>
 654  
 655 <s>cur habitabilis.<emph.end type="italics"/></s></p><p type="main"> <s>cur habitabilis.<emph.end type="italics"/></s></p><p type="main">
 656  
 657 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 658  
 659 3. De Ventorum&longs;itu.<emph.end type="italics"/></s></p><p type="head"> 3. De Ventorum&longs;itu.<emph.end type="italics"/></s></p><p type="head">
 660  
 661 <s>Ex 3. Meteor.<!-- KEEP S--></s></p><p type="main"> <s>Ex 3. Meteor.<!-- KEEP S--></s></p><p type="main">
 662  
 663 <s><emph type="italics"/>Summa 2. cap.  <s><emph type="italics"/>Summa 2. cap.
 664  
 665 2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;iratio.<emph.end type="italics"/></s></p><p type="main"> 2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;iratio.<emph.end type="italics"/></s></p><p type="main">
 666  
 667 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 668  
 669 4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s> 4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s>
 670  
 671 <s>Noua de eadem <lb/>tractatio.<emph.end type="italics"/></s></p><p type="main"> <s>Noua de eadem <lb/>tractatio.<emph.end type="italics"/></s></p><p type="main">
 672  
 673 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 674  
 675 5. De Parelio. <!-- KEEP S--></s> 5. De Parelio. <!-- KEEP S--></s>
 676  
 677 <s>Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s></p><p type="head"> <s>Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s></p><p type="head">
 678  
 679 <s>Ex 1. De Anima.<!-- KEEP S--></s></p><p type="main"> <s>Ex 1. De Anima.<!-- KEEP S--></s></p><p type="main">
 680  
 681 <s><emph type="italics"/>Tex. 11. Quid rectum, quid obliquum. </s> <s><emph type="italics"/>Tex. 11. Quid rectum, quid obliquum. </s>
 682  
 683 <s>&amp; omnis triangulus babet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main"> <s>&amp; omnis triangulus babet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 684  
 685 <s><emph type="italics"/>T. 13. Sph&aelig;ra planum tangit in puncto.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 13. Sph&aelig;ra planum tangit in puncto.<emph.end type="italics"/></s></p><p type="head">
 686  
 687 <s>Ex 2. De Anima.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. De Anima.<!-- KEEP S--></s></p><p type="main">
 688  
 689 <s><emph type="italics"/>T. 12. D finitioncm formalem, &amp; cau&longs;alem explicat exemplo Quadrationis Geo&shy;<lb/>metric&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 12. D finitioncm formalem, &amp; cau&longs;alem explicat exemplo Quadrationis Geo&shy;<lb/>metric&aelig;.<emph.end type="italics"/></s></p><p type="main">
 690  
 691 <s><emph type="italics"/>T. 86. Acutum, &amp; Graue, vt differant.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 86. Acutum, &amp; Graue, vt differant.<emph.end type="italics"/></s></p><p type="main">
 692  
 693 <s><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s></p><p type="head">
 694  
 695 <s>Ex 3. De Anima.<!-- KEEP S--></s></p><p type="main"> <s>Ex 3. De Anima.<!-- KEEP S--></s></p><p type="main">
 696  
 697 <s><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s></p><p type="main">
 698  
 699 <s><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s></p><p type="main">
 700  
 701 <s><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s></p><p type="head">
 702  
 703 <s>Ex lib. <!-- REMOVE S-->De Sen&longs;u.</s> <s>Ex lib. <!-- REMOVE S-->De Sen&longs;u.</s>
 704  
 705 </p><p type="main"> </p><p type="main">
 706  
 707 <s><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 708  
 709 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 710  
 711 8. Nete. </s> 8. Nete. </s>
 712  
 713 <s>Diapa&longs;on. <!-- KEEP S--></s> <s>Diapa&longs;on. <!-- KEEP S--></s>
 714  
 715 <s>Diapen&longs;e.<emph.end type="italics"/></s></p><p type="head"> <s>Diapen&longs;e.<emph.end type="italics"/></s></p><p type="head">
 716  
 717 <s>Ex lib. <!-- REMOVE S-->De Memoria, &amp; Rem.<!-- KEEP S--></s> <s>Ex lib. <!-- REMOVE S-->De Memoria, &amp; Rem.<!-- KEEP S--></s>
 718  
 719 </p><p type="main"> </p><p type="main">
 720  
 721 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 722  
 723 1. Omnis triangulus babet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main"> 1. Omnis triangulus babet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 724  
 725 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 726  
 727 3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s></p><p type="head"> 3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s></p><p type="head">
 728  
 729 <s>Ex lib. <!-- REMOVE S-->De Somnijs.<!-- KEEP S--></s> <s>Ex lib. <!-- REMOVE S-->De Somnijs.<!-- KEEP S--></s>
 730  
 731 </p><p type="main"> </p><p type="main">
 732  
 733 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 734  
 735 2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s></p><p type="main"> 2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s></p><p type="main">
 736  
 737 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 738  
 739 3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s></p><p type="head"> 3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s></p><p type="head">
 740  
 741 <s>Ex 1. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 1. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 742  
 743 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 744  
 745 1. Initium Mathematicarum ab Aegyptiorum Saterdotibus. </s> 1. Initium Mathematicarum ab Aegyptiorum Saterdotibus. </s>
 746  
 747 <s>Item, Automata, <lb/>qu&aelig; &longs;olstitia. </s> <s>Item, Automata, <lb/>qu&aelig; &longs;olstitia. </s>
 748  
 749 <s>Diameter incommen&longs;.<emph.end type="italics"/></s></p><p type="main"> <s>Diameter incommen&longs;.<emph.end type="italics"/></s></p><p type="main">
 750  
 751 <s><emph type="italics"/>Summa 2. cap.  <s><emph type="italics"/>Summa 2. cap.
 752  
 753 3. Pythagorei Mathematicas c&aelig;teris pr&aelig;ferebant.<emph.end type="italics"/></s></p><p type="main"> 3. Pythagorei Mathematicas c&aelig;teris pr&aelig;ferebant.<emph.end type="italics"/></s></p><p type="main">
 754  
 755 <s><emph type="italics"/>T. 47. Geometria habet &longs;uas pr&aelig;cognitiones.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 47. Geometria habet &longs;uas pr&aelig;cognitiones.<emph.end type="italics"/></s></p><p type="head">
 756  
 757 <s>Ex 2. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 2. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 758  
 759 <s><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s></p><p type="head">
 760  
 761 <s>Ex 3. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 3. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 762  
 763 <s><emph type="italics"/>Tex. <!-- KEEP S--></s> <s><emph type="italics"/>Tex. <!-- KEEP S--></s>
 764  
 765 <s>Mathematicas puras carere cau&longs;is efficiente, &amp; finali. </s> <s>Mathematicas puras carere cau&longs;is efficiente, &amp; finali. </s>
 766  
 767 <s>Ariftippus, vt Mathe&shy;<lb/>maticas &longs;ugillaret. </s> <s>Ariftippus, vt Mathe&shy;<lb/>maticas &longs;ugillaret. </s>
 768  
 769 <s>Tetragoni&longs;mus est inuentio medi&aelig;.<emph.end type="italics"/></s></p><pb pagenum="16"/><p type="main"> <s>Tetragoni&longs;mus est inuentio medi&aelig;.<emph.end type="italics"/></s></p><pb pagenum="16"/><p type="main">
 770  
 771 <s><emph type="italics"/>Tex. 8. Geod&aelig;&longs;ia quid.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Tex. 8. Geod&aelig;&longs;ia quid.<emph.end type="italics"/></s></p><p type="head">
 772  
 773 <s>Ex 4. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 4. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 774  
 775 <s><emph type="italics"/>T. 4. Qu&aelig; &longs;int prim&aelig;, &amp; qu&aelig; &longs;ecund&aelig; inter Mathematicas.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 4. Qu&aelig; &longs;int prim&aelig;, &amp; qu&aelig; &longs;ecund&aelig; inter Mathematicas.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 776  
 777 <s><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head">
 778  
 779 <s>Ex 5. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 5. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 780  
 781 <s><emph type="italics"/>T. 2. Exemplum cau&longs;&aelig; formalis ex Diapa&longs;on. <!-- KEEP S--></s> <s><emph type="italics"/>T. 2. Exemplum cau&longs;&aelig; formalis ex Diapa&longs;on. <!-- KEEP S--></s>
 782  
 783 <s>Qu&aelig; &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s></p><p type="main"> <s>Qu&aelig; &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s></p><p type="main">
 784  
 785 <s><emph type="italics"/>T. 3. Qu&aelig; &longs;it Materia in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 3. Qu&aelig; &longs;it Materia in Mathematicis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 786  
 787 <s><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s></p><p type="main">
 788  
 789 <s><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 790  
 791 <s><emph type="italics"/>T. 17. Diameter incommen&longs;urab. </s> <s><emph type="italics"/>T. 17. Diameter incommen&longs;urab. </s>
 792  
 793 <s>Quid potentia vnius line&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s>Quid potentia vnius line&aelig;.<emph.end type="italics"/></s></p><p type="main">
 794  
 795 <s><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s></p><p type="head">
 796  
 797 <s>Ex 6. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 6. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 798  
 799 <s><emph type="italics"/>T. 1. Principia, elementa, &amp; cau&longs;&aelig; in Mathem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>T. 1. Principia, elementa, &amp; cau&longs;&aelig; in Mathem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 800  
 801 <s><emph type="italics"/>T. 8. Diameter. </s> <s><emph type="italics"/>T. 8. Diameter. </s>
 802  
 803 <s>commen&longs;urab.<emph.end type="italics"/></s></p><p type="main"> <s>commen&longs;urab.<emph.end type="italics"/></s></p><p type="main">
 804  
 805 <s><emph type="italics"/>T. 20. De&longs;criptiones. </s> <s><emph type="italics"/>T. 20. De&longs;criptiones. </s>
 806  
 807 <s>Omnis triangulus habet tres, &amp;c. </s> <s>Omnis triangulus habet tres, &amp;c. </s>
 808  
 809 <s>Cur Angulus in &longs;emicir&shy;<lb/>culo rectus.<emph.end type="italics"/></s></p><p type="main"> <s>Cur Angulus in &longs;emicir&shy;<lb/>culo rectus.<emph.end type="italics"/></s></p><p type="main">
 810  
 811 <s><emph type="italics"/>T. 22. Omnis triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 22. Omnis triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="head">
 812  
 813 <s>Ex 10. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 10. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 814  
 815 <s><emph type="italics"/>T. 4. Motum diurnum men&longs;uram reliquorum. </s> <s><emph type="italics"/>T. 4. Motum diurnum men&longs;uram reliquorum. </s>
 816  
 817 <s>Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Die&longs;is.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 818  
 819 <s><emph type="italics"/>T. 11. Similes figur&aelig; qu&aelig;. </s> <s><emph type="italics"/>T. 11. Similes figur&aelig; qu&aelig;. </s>
 820  
 821 <s>Diuer&longs;um in Math. quid.<emph.end type="italics"/></s></p><p type="head"> <s>Diuer&longs;um in Math. quid.<emph.end type="italics"/></s></p><p type="head">
 822  
 823 <s>Ex 11. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 11. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 824  
 825 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 826  
 827 2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s></p><p type="head"> 2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s></p><p type="head">
 828  
 829 <s>Ex 12. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 12. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 830  
 831 <s><emph type="italics"/>T. 44. Peculiari&longs;&longs;imam Philo&longs;ophiam, Mathematicorum videlicet, A&longs;tronomiam <lb/>pluralitatem C&oelig;lorum docere.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 44. Peculiari&longs;&longs;imam Philo&longs;ophiam, Mathematicorum videlicet, A&longs;tronomiam <lb/>pluralitatem C&oelig;lorum docere.<emph.end type="italics"/></s></p><p type="main">
 832  
 833 <s><emph type="italics"/>T. 45. Numerus orbium c&oelig;le&longs;t ium &longs;ecundum Eudoxum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 45. Numerus orbium c&oelig;le&longs;t ium &longs;ecundum Eudoxum.<emph.end type="italics"/></s></p><p type="main">
 834  
 835 <s><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s></p><p type="main">
 836  
 837 <s><emph type="italics"/>T. 47. Orbium c&oelig;le&longs;tium numerus, &amp; fabrica ex Calippo.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>T. 47. Orbium c&oelig;le&longs;tium numerus, &amp; fabrica ex Calippo.<emph.end type="italics"/></s></p><p type="head">
 838  
 839 <s>Ex 13. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main"> <s>Ex 13. Methaphy&longs;.<!-- KEEP S--></s></p><p type="main">
 840  
 841 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 842  
 843 3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> 3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 844  
 845 <s>In Mechanicas Qu&aelig;&longs;tiones.</s></p><p type="main"> <s>In Mechanicas Qu&aelig;&longs;tiones.</s></p><p type="main">
 846  
 847 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 848  
 849 1. Qu&aelig; &longs;it Mechanica facultas.<emph.end type="italics"/></s></p><p type="main"> 1. Qu&aelig; &longs;it Mechanica facultas.<emph.end type="italics"/></s></p><p type="main">
 850  
 851 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 852  
 853 2. De Admirandis circuli.<emph.end type="italics"/></s></p><p type="main"> 2. De Admirandis circuli.<emph.end type="italics"/></s></p><p type="main">
 854  
 855 <s><emph type="italics"/>Qu&aelig;&longs;tio 1. De Libra. <!-- KEEP S--></s> <s><emph type="italics"/>Qu&aelig;&longs;tio 1. De Libra. <!-- KEEP S--></s>
 856  
 857 <s>cur maior, exactior. </s> <s>cur maior, exactior. </s>
 858  
 859 <s>inibi Ari&longs;t.  <s>inibi Ari&longs;t.
 860  
 861 lap&longs;us.<emph.end type="italics"/></s></p><p type="main"> lap&longs;us.<emph.end type="italics"/></s></p><p type="main">
 862  
 863 <s><emph type="italics"/>Qu&aelig;&longs;t. 2. Duplex Libra. <!-- KEEP S--></s> <s><emph type="italics"/>Qu&aelig;&longs;t. 2. Duplex Libra. <!-- KEEP S--></s>
 864  
 865 <s>Piccolomineus reiectus.<emph.end type="italics"/></s></p><p type="main"> <s>Piccolomineus reiectus.<emph.end type="italics"/></s></p><p type="main">
 866  
 867 <s><emph type="italics"/>Qu&aelig;&longs;t. 3. De Vecte.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 3. De Vecte.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 868  
 869 <s><emph type="italics"/>Qu&aelig;&longs;t. 4. De Remo; Petri Non&yuml; in Arist.  <s><emph type="italics"/>Qu&aelig;&longs;t. 4. De Remo; Petri Non&yuml; in Arist.
 870  
 871 correctio.<emph.end type="italics"/></s></p><p type="main"> correctio.<emph.end type="italics"/></s></p><p type="main">
 872  
 873 <s><emph type="italics"/>Qu&aelig;&longs;t. 5. De Temone Nauis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 5. De Temone Nauis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 874  
 875 <s><emph type="italics"/>Qu&aelig;&longs;t. 6. De Antenna.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 6. De Antenna.<emph.end type="italics"/></s></p><p type="main">
 876  
 877 <s><emph type="italics"/>Qu&aelig;&longs;t. 8 De Rota.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 8 De Rota.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 878  
 879 <s><emph type="italics"/>Qu&aelig;&longs;t. 9. De Trochlea, &amp; Scytali. </s> <s><emph type="italics"/>Qu&aelig;&longs;t. 9. De Trochlea, &amp; Scytali. </s>
 880  
 881 <s>figura antiqu&aelig; &longs;cytalis.<emph.end type="italics"/></s></p><p type="main"> <s>figura antiqu&aelig; &longs;cytalis.<emph.end type="italics"/></s></p><p type="main">
 882  
 883 <s><emph type="italics"/>Qu&aelig;&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s></p><p type="main">
 884  
 885 <s><emph type="italics"/>Q&ugrave;&aelig;&longs;t. <!-- REMOVE S-->11. De Curru, &amp; &longs;cytala.<emph.end type="italics"/></s> <s><emph type="italics"/>Q&ugrave;&aelig;&longs;t. <!-- REMOVE S-->11. De Curru, &amp; &longs;cytala.<emph.end type="italics"/></s>
 886  
 887 </p><p type="main"> </p><p type="main">
 888  
 889 <s><emph type="italics"/>Qu&aelig;&longs;t. 13. De lugo. </s> <s><emph type="italics"/>Qu&aelig;&longs;t. 13. De lugo. </s>
 890  
 891 <s>De Succula.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>De Succula.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 892  
 893 <s><emph type="italics"/>Qu&aelig;&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s></p><p type="main">
 894  
 895 <s><emph type="italics"/>Qu&aelig;&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s></p><pb pagenum="17"/><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s></p><pb pagenum="17"/><p type="main">
 896  
 897 <s><emph type="italics"/>Qu&aelig;&longs;t. 17. De Cuneo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 17. De Cuneo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 898  
 899 <s><emph type="italics"/>Qu&aelig;&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s></p><p type="main">
 900  
 901 <s><emph type="italics"/>Qu&aelig;&longs;t. 19. De Securi. </s> <s><emph type="italics"/>Qu&aelig;&longs;t. 19. De Securi. </s>
 902  
 903 <s>Securis veteris figura, &amp; con&longs;tructio; vn&agrave; cum affectione <lb/>eius mirabili.<emph.end type="italics"/></s></p><p type="main"> <s>Securis veteris figura, &amp; con&longs;tructio; vn&agrave; cum affectione <lb/>eius mirabili.<emph.end type="italics"/></s></p><p type="main">
 904  
 905 <s><emph type="italics"/>Qu&aelig;&longs;t. 20. De Statera. <!-- KEEP S--></s> <s><emph type="italics"/>Qu&aelig;&longs;t. 20. De Statera. <!-- KEEP S--></s>
 906  
 907 <s>Veteris stater&aelig; figura restaurata.<emph.end type="italics"/></s></p><p type="main"> <s>Veteris stater&aelig; figura restaurata.<emph.end type="italics"/></s></p><p type="main">
 908  
 909 <s><emph type="italics"/>Qu&aelig;&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 910  
 911 <s><emph type="italics"/>Qu&aelig;&longs;t. 22. De Nucifrago.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 22. De Nucifrago.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 912  
 913 <s><emph type="italics"/>Qu&aelig;&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 914  
 915 <s><emph type="italics"/>Qu&aelig;&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s></p><p type="main">
 916  
 917 <s><emph type="italics"/>Qu&aelig;&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s></p><p type="main">
 918  
 919 <s><emph type="italics"/>Qu&aelig;&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s></p><p type="main">
 920  
 921 <s><emph type="italics"/>Qu&aelig;&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s></p><p type="main">
 922  
 923 <s><emph type="italics"/>Qu&aelig;&longs;t. 28. De Tollenone.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 28. De Tollenone.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 924  
 925 <s><emph type="italics"/>Qu&aelig;&longs;t. 29. De onere &agrave; duobus phalanga ge&longs;iato.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Qu&aelig;&longs;t. 29. De onere &agrave; duobus phalanga ge&longs;iato.<emph.end type="italics"/></s></p><p type="main">
 926  
 927 <s><emph type="italics"/>Qu&aelig;&longs;t. 30. De &longs;urgente &agrave; &longs;e&longs;&longs;ione.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Qu&aelig;&longs;t. 30. De &longs;urgente &agrave; &longs;e&longs;&longs;ione.<emph.end type="italics"/></s></p><p type="head">
 928  
 929 <s>In libello De Mundo ad Alex.<!-- REMOVE S--><emph type="italics"/>Cap.  <s>In libello De Mundo ad Alex.<!-- REMOVE S--><emph type="italics"/>Cap.
 930  
 931 2. Ordo Planetarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 2. Ordo Planetarum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 932  
 933 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 934  
 935 3. De Cometis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 3. De Cometis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 936  
 937 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 938  
 939 5. De fluxu maris. </s> 5. De fluxu maris. </s>
 940  
 941 <s>noua de maris &aelig;&longs;tu &longs;ententia.<emph.end type="italics"/></s></p><p type="head"> <s>noua de maris &aelig;&longs;tu &longs;ententia.<emph.end type="italics"/></s></p><p type="head">
 942  
 943 <s>In libro De Admirandis audit.</s></p><p type="main"> <s>In libro De Admirandis audit.</s></p><p type="main">
 944  
 945 <s><emph type="italics"/>Num. <!-- REMOVE S-->8. De nouo orbe.<emph.end type="italics"/></s> <s><emph type="italics"/>Num. <!-- REMOVE S-->8. De nouo orbe.<emph.end type="italics"/></s>
 946  
 947 </p><p type="main"> </p><p type="main">
 948  
 949 <s><emph type="italics"/>Nu. </s> <s><emph type="italics"/>Nu. </s>
 950  
 951 <s>100. De I&longs;tro, error Ari&longs;t. &amp; veterum Geographorum.<emph.end type="italics"/></s></p><p type="head"> <s>100. De I&longs;tro, error Ari&longs;t. &amp; veterum Geographorum.<emph.end type="italics"/></s></p><p type="head">
 952  
 953 <s>In libello De lineis in&longs;ecabilibus.</s></p><p type="main"> <s>In libello De lineis in&longs;ecabilibus.</s></p><p type="main">
 954  
 955 <s><emph type="italics"/>Primus locus. </s> <s><emph type="italics"/>Primus locus. </s>
 956  
 957 <s>De commen&longs;urabili, &amp; incommen&longs;urabili.<emph.end type="italics"/></s></p><p type="main"> <s>De commen&longs;urabili, &amp; incommen&longs;urabili.<emph.end type="italics"/></s></p><p type="main">
 958  
 959 <s><emph type="italics"/>2. locus. </s> <s><emph type="italics"/>2. locus. </s>
 960  
 961 <s>De figuris incommen&longs;.<emph.end type="italics"/></s></p><p type="main"> <s>De figuris incommen&longs;.<emph.end type="italics"/></s></p><p type="main">
 962  
 963 <s><emph type="italics"/>3. locus. </s> <s><emph type="italics"/>3. locus. </s>
 964  
 965 <s>Qu&aelig; linea rationalis, qu&aelig; irrationalis. </s> <s>Qu&aelig; linea rationalis, qu&aelig; irrationalis. </s>
 966  
 967 <s>Binomio, Apotome.<emph.end type="italics"/></s></p><p type="main"> <s>Binomio, Apotome.<emph.end type="italics"/></s></p><p type="main">
 968  
 969 <s><emph type="italics"/>4. locus. </s> <s><emph type="italics"/>4. locus. </s>
 970  
 971 <s>De communi men&longs;ura.<emph.end type="italics"/></s></p><p type="main"> <s>De communi men&longs;ura.<emph.end type="italics"/></s></p><p type="main">
 972  
 973 <s><emph type="italics"/>5. locus. </s> <s><emph type="italics"/>5. locus. </s>
 974  
 975 <s>Line&aelig; rect&aelig; motus in &longs;emicirculum.<emph.end type="italics"/></s></p><p type="main"> <s>Line&aelig; rect&aelig; motus in &longs;emicirculum.<emph.end type="italics"/></s></p><p type="main">
 976  
 977 <s><emph type="italics"/>6. locus. </s> <s><emph type="italics"/>6. locus. </s>
 978  
 979 <s>Circulorum &aelig;qualium ab inuicem motus.<emph.end type="italics"/></s></p><p type="main"> <s>Circulorum &aelig;qualium ab inuicem motus.<emph.end type="italics"/></s></p><p type="main">
 980  
 981 <s><emph type="italics"/>7. locus. </s> <s><emph type="italics"/>7. locus. </s>
 982  
 983 <s>Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 984  
 985 <s><emph type="italics"/>8. locus. </s> <s><emph type="italics"/>8. locus. </s>
 986  
 987 <s>Si extarent indiuidua, omnes line&aelig; e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s></p><p type="main"> <s>Si extarent indiuidua, omnes line&aelig; e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s></p><p type="main">
 988  
 989 <s><emph type="italics"/>9. locus. </s> <s><emph type="italics"/>9. locus. </s>
 990  
 991 <s>Idem probat alite&racute;.<emph.end type="italics"/></s></p><p type="main"> <s>Idem probat alite&racute;.<emph.end type="italics"/></s></p><p type="main">
 992  
 993 <s><emph type="italics"/>10. locus. </s> <s><emph type="italics"/>10. locus. </s>
 994  
 995 <s>Idem ex triangulo.<emph.end type="italics"/></s></p><p type="main"> <s>Idem ex triangulo.<emph.end type="italics"/></s></p><p type="main">
 996  
 997 <s><emph type="italics"/>11. locus. </s> <s><emph type="italics"/>11. locus. </s>
 998  
 999 <s>Idem ex quadrato.<emph.end type="italics"/></s></p><p type="main"> <s>Idem ex quadrato.<emph.end type="italics"/></s></p><p type="main">
 1000  
 1001 <s><emph type="italics"/>12. Ex diui&longs;ione line&aelig; idem confirmatur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>12. Ex diui&longs;ione line&aelig; idem confirmatur.<emph.end type="italics"/></s></p><p type="main">
 1002  
 1003 <s><emph type="italics"/>13. Idem eodem fer&egrave; modo cum pr&aelig;cedenti.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>13. Idem eodem fer&egrave; modo cum pr&aelig;cedenti.<emph.end type="italics"/></s></p><p type="main">
 1004  
 1005 <s><emph type="italics"/>14. A quadrato cuiu&longs;uis line&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>14. A quadrato cuiu&longs;uis line&aelig;.<emph.end type="italics"/></s></p><p type="main">
 1006  
 1007 <s><emph type="italics"/>15. Idem probat ex &longs;uperficie, &amp; ex corpore.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>15. Idem probat ex &longs;uperficie, &amp; ex corpore.<emph.end type="italics"/></s></p><p type="main">
 1008  
 1009 <s><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s></p><p type="head">
 1010  
 1011 <s>Ex lib.  <s>Ex lib.
 1012  
 1013 9. Hi&longs;tori&aelig; Animalium.</s></p><p type="main"> 9. Hi&longs;tori&aelig; Animalium.</s></p><p type="main">
 1014  
 1015 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1016  
 1017 39. error Ari&longs;t. &amp; noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s></p><p type="head"> 39. error Ari&longs;t. &amp; noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s></p><p type="head">
 1018  
 1019 <s>De Ince&longs;&longs;u Animal.<!-- KEEP S--></s></p><p type="main"> <s>De Ince&longs;&longs;u Animal.<!-- KEEP S--></s></p><p type="main">
 1020  
 1021 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1022  
 1023 7. qua ratione in gre&longs;&longs;u &longs;iat bypotenu&longs;a. </s> 7. qua ratione in gre&longs;&longs;u &longs;iat bypotenu&longs;a. </s>
 1024  
 1025 <s>&amp; ea quid &longs;it.<emph.end type="italics"/></s></p><p type="head"> <s>&amp; ea quid &longs;it.<emph.end type="italics"/></s></p><p type="head">
 1026  
 1027 <s>De Motu Animal.<!-- KEEP S--></s></p><p type="main"> <s>De Motu Animal.<!-- KEEP S--></s></p><p type="main">
 1028  
 1029 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1030  
 1031 1. in flexuris animalium e&longs;&longs;e centrum, &amp; circulum.<emph.end type="italics"/></s></p><p type="main"> 1. in flexuris animalium e&longs;&longs;e centrum, &amp; circulum.<emph.end type="italics"/></s></p><p type="main">
 1032  
 1033 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1034  
 1035 3. Automata.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="18"/><p type="head"> 3. Automata.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="18"/><p type="head">
 1036  
 1037 <s>De Generatione Animal.<!-- KEEP S--></s></p><p type="main"> <s>De Generatione Animal.<!-- KEEP S--></s></p><p type="main">
 1038  
 1039 <s><emph type="italics"/>Lib. 2. cap.  <s><emph type="italics"/>Lib. 2. cap.
 1040  
 1041 1. Automata.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 1. Automata.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1042  
 1043 <s><emph type="italics"/>Lib. 2. cap.  <s><emph type="italics"/>Lib. 2. cap.
 1044  
 1045 4. Omnis triangulus habet tres, &amp;c. </s> 4. Omnis triangulus habet tres, &amp;c. </s>
 1046  
 1047 <s>Ibidem Diametrum e&longs;&longs;e incommen&shy;<lb/>&longs;urabilem co&longs;t&aelig;, habet cau&longs;am, &amp; demon&longs;trationem.<emph.end type="italics"/></s></p><p type="head"> <s>Ibidem Diametrum e&longs;&longs;e incommen&shy;<lb/>&longs;urabilem co&longs;t&aelig;, habet cau&longs;am, &amp; demon&longs;trationem.<emph.end type="italics"/></s></p><p type="head">
 1048  
 1049 <s>In Ethicis ad Nicom.</s></p><p type="main"> <s>In Ethicis ad Nicom.</s></p><p type="main">
 1050  
 1051 <s><emph type="italics"/>Lib. 1. cap.  <s><emph type="italics"/>Lib. 1. cap.
 1052  
 1053 7. Faber, &amp; Geometra diuers&egrave; con&longs;iderant angulum rectum.<emph.end type="italics"/></s></p><p type="main"> 7. Faber, &amp; Geometra diuers&egrave; con&longs;iderant angulum rectum.<emph.end type="italics"/></s></p><p type="main">
 1054  
 1055 <s><emph type="italics"/>Lib. 2. cap.  <s><emph type="italics"/>Lib. 2. cap.
 1056  
 1057 6. De Arithmetica proportione.<emph.end type="italics"/></s></p><p type="main"> 6. De Arithmetica proportione.<emph.end type="italics"/></s></p><p type="main">
 1058  
 1059 <s><emph type="italics"/>cap.  <s><emph type="italics"/>cap.
 1060  
 1061 9. Centrum circuli reperire.<emph.end type="italics"/></s></p><p type="main"> 9. Centrum circuli reperire.<emph.end type="italics"/></s></p><p type="main">
 1062  
 1063 <s><emph type="italics"/>Lib. 3. cap. 3. Diameter, &amp; latus incommen&longs;urabilis: Item quid re&longs;olutio Geome&shy;<lb/>trica: Quid de&longs;ignatio.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Lib. 3. cap. 3. Diameter, &amp; latus incommen&longs;urabilis: Item quid re&longs;olutio Geome&shy;<lb/>trica: Quid de&longs;ignatio.<emph.end type="italics"/></s></p><p type="main">
 1064  
 1065 <s><emph type="italics"/>Lib. 5. cap.  <s><emph type="italics"/>Lib. 5. cap.
 1066  
 1067 3. Vnitarius numerus. </s> 3. Vnitarius numerus. </s>
 1068  
 1069 <s>Quid Proportionalitas. <!-- KEEP S--></s> <s>Quid Proportionalitas. <!-- KEEP S--></s>
 1070  
 1071 <s>Eam in 4. terminis con&shy;<lb/>&longs;i&longs;tere. </s> <s>Eam in 4. terminis con&shy;<lb/>&longs;i&longs;tere. </s>
 1072  
 1073 <s>Item quid Permutata proportio. </s> <s>Item quid Permutata proportio. </s>
 1074  
 1075 <s>Item quid Geometrica proportio. </s> <s>Item quid Geometrica proportio. </s>
 1076  
 1077 <s>Propor&shy;<lb/>tio continuata, &amp; di&longs;iuncta quid.<emph.end type="italics"/></s></p><p type="main"> <s>Propor&shy;<lb/>tio continuata, &amp; di&longs;iuncta quid.<emph.end type="italics"/></s></p><p type="main">
 1078  
 1079 <s><emph type="italics"/>cap.  <s><emph type="italics"/>cap.
 1080  
 1081 6. Proportio Geometrica, &amp; Arithmetica.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> 6. Proportio Geometrica, &amp; Arithmetica.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1082  
 1083 <s><emph type="italics"/>Lib. 6. cap.  <s><emph type="italics"/>Lib. 6. cap.
 1084  
 1085 5. Omnis triangulus, &amp;c.<emph.end type="italics"/></s></p><p type="main"> 5. Omnis triangulus, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 1086  
 1087 <s><emph type="italics"/>cap.  <s><emph type="italics"/>cap.
 1088  
 1089 8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s></p><p type="main"> 8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s></p><p type="main">
 1090  
 1091 <s><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head"> <s><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
 1092  
 1093 <s>Ex 1. Magnorum Moralium.</s></p><p type="main"> <s>Ex 1. Magnorum Moralium.</s></p><p type="main">
 1094  
 1095 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1096  
 1097 1. Numerus pariter par.<emph.end type="italics"/></s></p><p type="main"> 1. Numerus pariter par.<emph.end type="italics"/></s></p><p type="main">
 1098  
 1099 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1100  
 1101 2. Omnis triangulus habet, &amp;c.<emph.end type="italics"/></s></p><p type="main"> 2. Omnis triangulus habet, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 1102  
 1103 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1104  
 1105 10 Omnis triangulus habet, &amp;c.<emph.end type="italics"/></s></p><p type="main"> 10 Omnis triangulus habet, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 1106  
 1107 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1108  
 1109 16. Quadratum quatuor rectis &aelig;quales habere.<emph.end type="italics"/></s></p><p type="main"> 16. Quadratum quatuor rectis &aelig;quales habere.<emph.end type="italics"/></s></p><p type="main">
 1110  
 1111 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1112  
 1113 30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s></p><p type="head"> 30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s></p><p type="head">
 1114  
 1115 <s>Ex 1. lib. <!-- REMOVE S-->Moralium Eudemiorum.</s> <s>Ex 1. lib. <!-- REMOVE S-->Moralium Eudemiorum.</s>
 1116  
 1117 </p><p type="main"> </p><p type="main">
 1118  
 1119 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1120  
 1121 5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s></p><p type="head"> 5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s></p><p type="head">
 1122  
 1123 <s>Ex 1. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> <s>Ex 1. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s>
 1124  
 1125  
 1126  
 1127 </p><p type="main"> </p><p type="main">
 1128  
 1129 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 11317 Omnis triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main"> Omnis triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="main">
 1132  
 1133 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1134  
 1135 10. Diametrum commen&longs;. </s> 10. Diametrum commen&longs;. </s>
 1136  
 1137 <s>e&longs;&longs;e. </s> <s>e&longs;&longs;e. </s>
 1138  
 1139 <s>Circuli quadratio.<emph.end type="italics"/></s></p><p type="main"> <s>Circuli quadratio.<emph.end type="italics"/></s></p><p type="main">
 1140  
 1141 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1142  
 1143 12. Triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="head"> 12. Triangulus habet tres, &amp;c.<emph.end type="italics"/></s></p><p type="head">
 1144  
 1145 <s>Ex 7. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s> <s>Ex 7. lib. <!-- REMOVE S-->Mor. <!-- REMOVE S-->Eudemiorum.</s>
 1146  
 1147  
 1148  
 1149 </p><p type="main"> </p><p type="main">
 1150  
 1151 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1152  
 1153 12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s></p><p type="head"> 12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s></p><p type="head">
 1154  
 1155 <s>Ex 3. lib. <!-- REMOVE S-->Politicorum.</s> <s>Ex 3. lib. <!-- REMOVE S-->Politicorum.</s>
 1156  
 1157 </p><p type="main"> </p><p type="main">
 1158  
 1159 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1160  
 1161 2. Modi Dorius, &amp; Phrygius apud Mu&longs;icos, qu&igrave;.<emph.end type="italics"/></s></p><p type="head"> 2. Modi Dorius, &amp; Phrygius apud Mu&longs;icos, qu&igrave;.<emph.end type="italics"/></s></p><p type="head">
 1162  
 1163 <s>Ex 4. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> <s>Ex 4. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s>
 1164  
 1165 </p><p type="main"> </p><p type="main">
 1166  
 1167 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1168  
 1169 3. Modus Doricus, &amp; Phrygius.<emph.end type="italics"/></s></p><p type="head"> 3. Modus Doricus, &amp; Phrygius.<emph.end type="italics"/></s></p><p type="head">
 1170  
 1171 <s>Ex 5. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s> <s>Ex 5. lib. <!-- REMOVE S-->Polit.<!-- KEEP S--></s>
 1172  
 1173 </p><p type="main"> </p><p type="main">
 1174  
 1175 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1176  
 1177 1. Aequitas Arithmetica, &amp; qu&aelig; &longs;ecundum dignitatem.<emph.end type="italics"/></s></p><p type="head"> 1. Aequitas Arithmetica, &amp; qu&aelig; &longs;ecundum dignitatem.<emph.end type="italics"/></s></p><p type="head">
 1178  
 1179 <s>Ex 8. Polit.<!-- KEEP S--></s></p><p type="main"> <s>Ex 8. Polit.<!-- KEEP S--></s></p><p type="main">
 1180  
 1181 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1182  
 1183 5. Mu&longs;ica nuda, &amp; cum melodia. </s> 5. Mu&longs;ica nuda, &amp; cum melodia. </s>
 1184  
 1185 <s>Rithmus quid.<emph.end type="italics"/></s></p><p type="main"> <s>Rithmus quid.<emph.end type="italics"/></s></p><p type="main">
 1186  
 1187 <s><emph type="italics"/>Harmonia lydia. </s> <s><emph type="italics"/>Harmonia lydia. </s>
 1188  
 1189 <s>Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s></p><p type="main"> <s>Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s></p><p type="main">
 1190  
 1191 <s><emph type="italics"/>Cap.  <s><emph type="italics"/>Cap.
 1192  
 1193 7. Harmoni&aelig;, &amp; Rithmi, vt in pr&aelig;cedenti.<emph.end type="italics"/></s></p><p type="head"> 7. Harmoni&aelig;, &amp; Rithmi, vt in pr&aelig;cedenti.<emph.end type="italics"/></s></p><p type="head">
 1194  
 1195 <s>Ex Problematibus.</s></p><p type="main"> <s>Ex Problematibus.</s></p><p type="main">
 1196  
 1197 <s><emph type="italics"/>Sectione 1. num. </s> <s><emph type="italics"/>Sectione 1. num. </s>
 1198  
 1199 <s>3. De ortu &longs;yderum innerrantium: Succul&aelig;, Hypades, Atlantides, <lb/>Virgili&aelig;, Pleiades. </s> <s>3. De ortu &longs;yderum innerrantium: Succul&aelig;, Hypades, Atlantides, <lb/>Virgili&aelig;, Pleiades. </s>
 1200  
 1201 <s>num. </s> <s>num. </s>
 1202  
 1203 <s>17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s></p><p type="main"> <s>17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s></p><p type="main">
 1204  
 1205 <s><emph type="italics"/>Sectione 15. num. </s> <s><emph type="italics"/>Sectione 15. num. </s>
 1206  
 1207 <s>1. Diametri ethymon.<emph.end type="italics"/></s></p><p type="main"> <s>1. Diametri ethymon.<emph.end type="italics"/></s></p><p type="main">
 1208  
 1209 <s><emph type="italics"/>num. </s> <s><emph type="italics"/>num. </s>
 1210  
 1211 <s>2. Iterum Diametri ethymologia.<emph.end type="italics"/></s></p><pb pagenum="19"/><p type="main"> <s>2. Iterum Diametri ethymologia.<emph.end type="italics"/></s></p><pb pagenum="19"/><p type="main">
 1212  
 1213 <s><emph type="italics"/>num. </s> <s><emph type="italics"/>num. </s>
 1214  
 1215 <s>3. Denarius numerus cur perfectus. </s> <s>3. Denarius numerus cur perfectus. </s>
 1216  
 1217 <s>eius dignitates. </s> <s>eius dignitates. </s>
 1218  
 1219 <s>Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s></p><p type="main"> <s>Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s></p><p type="main">
 1220  
 1221 <s><emph type="italics"/>4. De in&aelig;quali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>4. De in&aelig;quali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s></p><p type="main">
 1222  
 1223 <s><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotund&aelig;, quamuis per angulo&longs;a foramina ingre&shy;<lb/>diantur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotund&aelig;, quamuis per angulo&longs;a foramina ingre&shy;<lb/>diantur.<emph.end type="italics"/></s></p><p type="main">
 1224  
 1225 <s><emph type="italics"/>6. Cur Luna &longs;emiplena videtur linea recta terminari? </s> <s><emph type="italics"/>6. Cur Luna &longs;emiplena videtur linea recta terminari? </s>
 1226  
 1227 <s>vbi de illuminatione Lun&aelig;, <lb/>qu&aelig; experientia docetur.<emph.end type="italics"/></s></p><p type="main"> <s>vbi de illuminatione Lun&aelig;, <lb/>qu&aelig; experientia docetur.<emph.end type="italics"/></s></p><p type="main">
 1228  
 1229 <s><emph type="italics"/>7. Cur Sol, &amp; Luna videantur plana?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>7. Cur Sol, &amp; Luna videantur plana?<emph.end type="italics"/></s></p><p type="main">
 1230  
 1231 <s><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s></p><p type="main">
 1232  
 1233 <s><emph type="italics"/>9. Cur Lun&aelig;, qu&agrave;m Solis minores vmbr&aelig;?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>9. Cur Lun&aelig;, qu&agrave;m Solis minores vmbr&aelig;?<emph.end type="italics"/></s></p><p type="main">
 1234  
 1235 <s><emph type="italics"/>10. Cur in defectu Solis etiam illuminationes ip&longs;ius defectiu&aelig; &longs;unt? </s> <s><emph type="italics"/>10. Cur in defectu Solis etiam illuminationes ip&longs;ius defectiu&aelig; &longs;unt? </s>
 1236  
 1237 <s>modus commod&egrave; <lb/>videndi eclyp&longs;im Solis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>modus commod&egrave; <lb/>videndi eclyp&longs;im Solis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1238  
 1239 <s><emph type="italics"/>Sect. <!-- REMOVE S-->16. nu. </s> <s><emph type="italics"/>Sect. <!-- REMOVE S-->16. nu. </s>
 1240  
 1241  
 1242  
 1243 <s>1. Cur ba&longs;es bullarum in aquis &longs;unt alb&aelig;?<emph.end type="italics"/></s></p><p type="main"> <s>1. Cur ba&longs;es bullarum in aquis &longs;unt alb&aelig;?<emph.end type="italics"/></s></p><p type="main">
 1244  
 1245 <s><emph type="italics"/>3. Opp lumbati tali.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>3. Opp lumbati tali.<emph.end type="italics"/></s></p><p type="main">
 1246  
 1247 <s><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s></p><p type="main">
 1248  
 1249 <s><emph type="italics"/>5. Cur conus, &amp; cylindrus diuers&egrave; moueantur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>5. Cur conus, &amp; cylindrus diuers&egrave; moueantur.<emph.end type="italics"/></s></p><p type="main">
 1250  
 1251 <s><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s></p><p type="main">
 1252  
 1253 <s><emph type="italics"/>12. Idem cum pr&aelig;cedenti 3.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>12. Idem cum pr&aelig;cedenti 3.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1254  
 1255 <s><emph type="italics"/>13. Idem cum 4 &longs;uperiori. </s> <s><emph type="italics"/>13. Idem cum 4 &longs;uperiori. </s>
 1256  
 1257 <s>reflexio radior&ubreve; pulchr&egrave; comparatur corpor&ubreve; re&longs;ultationi.<emph.end type="italics"/></s></p><p type="head"> <s>reflexio radior&ubreve; pulchr&egrave; comparatur corpor&ubreve; re&longs;ultationi.<emph.end type="italics"/></s></p><p type="head">
 1258  
 1259 <s>Ex &longs;ectione 19. De Mu&longs;ica.<!-- KEEP S--></s></p><p type="main"> <s>Ex &longs;ectione 19. De Mu&longs;ica.<!-- KEEP S--></s></p><p type="main">
 1260  
 1261 <s><emph type="italics"/>num. </s> <s><emph type="italics"/>num. </s>
 1262  
 1263 <s>2. Line&aelig; dupl&aelig; quadratum quadruplum. </s> <s>2. Line&aelig; dupl&aelig; quadratum quadruplum. </s>
 1264  
 1265 <s>Hoc loco &longs;equentium probl. </s> <s>Hoc loco &longs;equentium probl. </s>
 1266  
 1267 <s>cau&longs;a, <lb/>pr&aelig;mittitur totius Mu&longs;ic&aelig; ortus breuis tractatio.<emph.end type="italics"/></s></p><p type="main"> <s>cau&longs;a, <lb/>pr&aelig;mittitur totius Mu&longs;ic&aelig; ortus breuis tractatio.<emph.end type="italics"/></s></p><p type="main">
 1268  
 1269 <s><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s></p><p type="main">
 1270  
 1271 <s><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s></p><p type="main">
 1272  
 1273 <s><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s></p><p type="main">
 1274  
 1275 <s><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s></p><p type="main">
 1276  
 1277 <s><emph type="italics"/>8. Cur grauis &longs;onum potest acut&aelig;?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>8. Cur grauis &longs;onum potest acut&aelig;?<emph.end type="italics"/></s></p><p type="main">
 1278  
 1279 <s><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s></p><p type="main">
 1280  
 1281 <s><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s></p><p type="main">
 1282  
 1283 <s><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s></p><p type="main">
 1284  
 1285 <s><emph type="italics"/>12. Grauior &egrave; fidibus contilenam &longs;u&longs;cipit.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>12. Grauior &egrave; fidibus contilenam &longs;u&longs;cipit.<emph.end type="italics"/></s></p><p type="main">
 1286  
 1287 <s><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s></p><p type="main">
 1288  
 1289 <s><emph type="italics"/>14. Cur Diapa&longs;on vnica vox videtur. </s> <s><emph type="italics"/>14. Cur Diapa&longs;on vnica vox videtur. </s>
 1290  
 1291 <s>Punicum quid.<emph.end type="italics"/></s></p><p type="main"> <s>Punicum quid.<emph.end type="italics"/></s></p><p type="main">
 1292  
 1293 <s><emph type="italics"/>15. Leges Mu&longs;ic&aelig;, qu&aelig;. </s> <s><emph type="italics"/>15. Leges Mu&longs;ic&aelig;, qu&aelig;. </s>
 1294  
 1295 <s>Genera, Diatonicum, Chromaticum, Encharmonium. <lb/></s> <s>Genera, Diatonicum, Chromaticum, Encharmonium. <lb/></s>
 1296  
 1297 <s>Tetrachorda qu&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s>Tetrachorda qu&aelig;.<emph.end type="italics"/></s></p><p type="main">
 1298  
 1299 <s><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s></p><p type="main">
 1300  
 1301 <s><emph type="italics"/>17. Cur &longs;ola Diapa&longs;on canitur. </s> <s><emph type="italics"/>17. Cur &longs;ola Diapa&longs;on canitur. </s>
 1302  
 1303 <s>Magadis quid. </s> <s>Magadis quid. </s>
 1304  
 1305 <s>Magadare.<emph.end type="italics"/></s></p><p type="main"> <s>Magadare.<emph.end type="italics"/></s></p><p type="main">
 1306  
 1307 <s><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s></p><p type="main">
 1308  
 1309 <s><emph type="italics"/>19. Cur Diapente, &amp; Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>19. Cur Diapente, &amp; Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s></p><p type="main">
 1310  
 1311 <s><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 type="main"> <s><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 type="main">
 1312  
 1313 <s><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s></p><p type="main">
 1314  
 1315 <s><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s></p><p type="main">
 1316  
 1317 <s><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s></p><p type="main">
 1318  
 1319 <s><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s></p><p type="main">
 1320  
 1321 <s><emph type="italics"/>27. Cur &longs;ola audibilia mores obtinent. </s> <s><emph type="italics"/>27. Cur &longs;ola audibilia mores obtinent. </s>
 1322  
 1323 <s>Rithmus quid.<emph.end type="italics"/></s></p><p type="main"> <s>Rithmus quid.<emph.end type="italics"/></s></p><p type="main">
 1324  
 1325 <s><emph type="italics"/>28. Cur cantilen&aelig; qu&aelig;dam leges de cebantur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>28. Cur cantilen&aelig; qu&aelig;dam leges de cebantur?<emph.end type="italics"/></s></p><p type="main">
 1326  
 1327 <s><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s></p><pb pagenum="20"/><p type="main"> <s><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s></p><pb pagenum="20"/><p type="main">
 1328  
 1329 <s><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melop&aelig;os.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melop&aelig;os.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1330  
 1331 <s><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s></p><p type="main">
 1332  
 1333 <s><emph type="italics"/>33. Cur apt&egrave; de acuto in graue, non &egrave; contra canitur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>33. Cur apt&egrave; de acuto in graue, non &egrave; contra canitur?<emph.end type="italics"/></s></p><p type="main">
 1334  
 1335 <s><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 type="main"> <s><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 type="main">
 1336  
 1337 <s><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s></p><p type="main">
 1338  
 1339 <s><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s></p><p type="main">
 1340  
 1341 <s><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s></p><p type="main">
 1342  
 1343 <s><emph type="italics"/>38. Cur Rythmo, &amp; harmonij omnes gaudent?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>38. Cur Rythmo, &amp; harmonij omnes gaudent?<emph.end type="italics"/></s></p><p type="main">
 1344  
 1345 <s><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s></p><p type="main">
 1346  
 1347 <s><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s></p><p type="main">
 1348  
 1349 <s><emph type="italics"/>41. Idem cum 5.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>41. Idem cum 5.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1350  
 1351 <s><emph type="italics"/>42. Idem cum 34.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>42. Idem cum 34.<emph.end type="italics"/></s></p><p type="main">
 1352  
 1353 <s><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete&shy;<lb/>ris lyr&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete&shy;<lb/>ris lyr&aelig;.<emph.end type="italics"/></s></p><p type="main">
 1354  
 1355 <s><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s></p><p type="main">
 1356  
 1357 <s><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s></p><p type="main">
 1358  
 1359 <s><emph type="italics"/>46. Idem cum 22.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>46. Idem cum 22.<emph.end type="italics"/></s></p><p type="main">
 1360  
 1361 <s><emph type="italics"/>47. Idem cum 26.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>47. Idem cum 26.<emph.end type="italics"/></s></p><p type="main">
 1362  
 1363 <s><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s></p><p type="main">
 1364  
 1365 <s><emph type="italics"/>49. Idem cum 30. In choris trag&oelig;diarum, nec &longs;ubdorius, nec &longs;ubphrygius modus <lb/>erat in v&longs;u.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>49. Idem cum 30. In choris trag&oelig;diarum, nec &longs;ubdorius, nec &longs;ubphrygius modus <lb/>erat in v&longs;u.<emph.end type="italics"/></s></p><p type="main">
 1366  
 1367 <s><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s></p><p type="main">
 1368  
 1369 <s><emph type="italics"/>51. Dolia duo &aelig;qualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on <lb/>re&longs;onant.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>51. Dolia duo &aelig;qualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on <lb/>re&longs;onant.<emph.end type="italics"/></s></p><p type="head">
 1370  
 1371 <s>Ex &longs;ectione 23.</s></p><p type="main"> <s>Ex &longs;ectione 23.</s></p><p type="main">
 1372  
 1373 <s><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s></p><p type="head">
 1374  
 1375 <s>Ex &longs;ectione 30.</s></p><p type="main"> <s>Ex &longs;ectione 30.</s></p><p type="main">
 1376  
 1377 <s><emph type="italics"/>6. Omnis triangulus habet tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>6. Omnis triangulus habet tres &aelig;quales, &amp;c.<emph.end type="italics"/></s></p><p type="head">
 1378  
 1379 <s>Ex &longs;ectione 31.</s></p><p type="main"> <s>Ex &longs;ectione 31.</s></p><p type="main">
 1380  
 1381 <s><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 type="main"> <s><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 type="main">
 1382  
 1383 <s><emph type="italics"/>Cur duobus oculis res vna tantum videatur. </s> <s><emph type="italics"/>Cur duobus oculis res vna tantum videatur. </s>
 1384  
 1385 <s>Cur aliquando rei vi&longs;&aelig; gemina&shy;<lb/>tio accidat.<emph.end type="italics"/></s></p><p type="main"> <s>Cur aliquando rei vi&longs;&aelig; gemina&shy;<lb/>tio accidat.<emph.end type="italics"/></s></p><p type="main">
 1386  
 1387 <s><emph type="italics"/>11. Cur di&longs;tractis oculis res vna du&aelig; apparent?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>11. Cur di&longs;tractis oculis res vna du&aelig; apparent?<emph.end type="italics"/></s></p><p type="main">
 1388  
 1389 <s><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s></p><p type="main">
 1390  
 1391 <s><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s></p><p type="head">
 1392  
 1393 <s>Auctarium De Oculi Pupilla.<!-- KEEP S--></s></p><p type="main"> <s>Auctarium De Oculi Pupilla.<!-- KEEP S--></s></p><p type="main">
 1394  
 1395 <s><emph type="italics"/>Oculi fabrica pr&aelig;mittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Oculi fabrica pr&aelig;mittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s></p><p type="main">
 1396  
 1397 <s><emph type="italics"/>Primo. </s> <s><emph type="italics"/>Primo. </s>
 1398  
 1399 <s>De pupill&aelig; voce.<emph.end type="italics"/></s></p><p type="main"> <s>De pupill&aelig; voce.<emph.end type="italics"/></s></p><p type="main">
 1400  
 1401 <s><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s></p><p type="main">
 1402  
 1403 <s><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s></p><p type="main">
 1404  
 1405 <s><emph type="italics"/>4. Pupill&aelig; definitio.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>4. Pupill&aelig; definitio.<emph.end type="italics"/></s></p><p type="main">
 1406  
 1407 <s><emph type="italics"/>5. Cur mgra in omnibus hominibus.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>5. Cur mgra in omnibus hominibus.<emph.end type="italics"/></s></p><p type="main">
 1408  
 1409 <s><emph type="italics"/>6. Cur in Sole euane&longs; cat.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>6. Cur in Sole euane&longs; cat.<emph.end type="italics"/></s></p><p type="main">
 1410  
 1411 <s><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s></p><p type="main">
 1412  
 1413 <s><emph type="italics"/>8. Cur modo maior, modo minor videatur, &amp; cui&longs;dam lepida deceptio.<emph.end type="italics"/></s></p><pb pagenum="21"/><p type="main"> <s><emph type="italics"/>8. Cur modo maior, modo minor videatur, &amp; cui&longs;dam lepida deceptio.<emph.end type="italics"/></s></p><pb pagenum="21"/><p type="main">
 1414  
 1415 <s>Additamentum de natura Mathematicarum di&longs;ciplinarum.</s></p><p type="main"> <s>Additamentum de natura Mathematicarum di&longs;ciplinarum.</s></p><p type="main">
 1416  
 1417 <s><emph type="italics"/>Primo. </s> <s><emph type="italics"/>Primo. </s>
 1418  
 1419 <s>De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio&shy;<lb/>nes Mathematic&aelig; e&longs;&longs;e perfecti&longs;&longs;im&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s>De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio&shy;<lb/>nes Mathematic&aelig; e&longs;&longs;e perfecti&longs;&longs;im&aelig;.<emph.end type="italics"/></s></p><p type="main">
 1420  
 1421 <s>2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s></p><p type="main"> <s>2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s></p><p type="main">
 1422  
 1423 <s>3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumni&aelig; diluuntur.<emph.end type="italics"/></s></p><p type="main"> <s>3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumni&aelig; diluuntur.<emph.end type="italics"/></s></p><p type="main">
 1424  
 1425 <s>4. <emph type="italics"/>De pr&aelig;stantia cognitionis, quam Geometria, &amp; Arithmetica gignunt.<emph.end type="italics"/></s></p><p type="main"> <s>4. <emph type="italics"/>De pr&aelig;stantia cognitionis, quam Geometria, &amp; Arithmetica gignunt.<emph.end type="italics"/></s></p><p type="main">
 1426  
 1427 <s>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 type="main"> <s>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 type="main">
 1428  
 1429 <s>6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s>6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1430  
 1431 <s>7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s></p><p type="head"> <s>7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s></p><p type="head">
 1432  
 1433 <s><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s></p></section><pb pagenum="22"/><section><p type="head"> <s><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s></p></section><pb pagenum="22"/><section><p type="head">
 1434  
 1435 <s><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s></p><p type="main">
 1436  
 1437 <s><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata, <lb/>ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe&shy;<lb/>runtur; vt Mathematicarum Profe&longs;&longs;ores habeant, <lb/>vnde &longs;uas pr&aelig;lectiones aliquando valeant locupletare.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata, <lb/>ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe&shy;<lb/>runtur; vt Mathematicarum Profe&longs;&longs;ores habeant, <lb/>vnde &longs;uas pr&aelig;lectiones aliquando valeant locupletare.<emph.end type="italics"/></s></p><p type="head">
 1438  
 1439 <s><emph type="italics"/>In Primo Elem.  <s><emph type="italics"/>In Primo Elem.
 1440  
 1441 Euclidis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> Euclidis.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1442  
 1443 <s>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> <s>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>
 1444  
 1445 </p><p type="main"> </p><p type="main">
 1446  
 1447 <s>Ad principia primi elementorum, vide infra tex. <!-- REMOVE S-->5. pri. <!-- REMOVE S-->Po&longs;ter.<!-- KEEP S--></s> <s>Ad principia primi elementorum, vide infra tex. <!-- REMOVE S-->5. pri. <!-- REMOVE S-->Po&longs;ter.<!-- KEEP S--></s>
 1448  
 1449  
 1450  
 1451 </p><p type="main"> </p><p type="main">
 1452  
 1453 <s>Ad definitionem 10. pri. <!-- REMOVE S-->pro angulo recto, vide 30. qu&aelig;&longs;t. </s> <s>Ad definitionem 10. pri. <!-- REMOVE S-->pro angulo recto, vide 30. qu&aelig;&longs;t. </s>
 1454  
 1455  
 1456  
 1457 <s>Mecha&shy;<lb/>nic. <!-- REMOVE S-->&amp; cap.  <s>Mecha&shy;<lb/>nic. <!-- REMOVE S-->&amp; cap.
 1458  
 1459 7. lib.  7. lib.
 1460  
 1461 1. Eth.<!-- KEEP S--></s> 1. Eth.<!-- KEEP S--></s>
 1462  
 1463 </p><p type="main"> </p><p type="main">
 1464  
 1465 <s>Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim <lb/>hoc vno axiomate qu&ecedil;&longs;tionem <expan abbr="qu&atilde;dam">quandam</expan> inter Philo&longs;ophos vald&egrave; difficilem, <lb/>facile di&longs;&longs;olui. </s> <s>Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim <lb/>hoc vno axiomate qu&ecedil;&longs;tionem <expan abbr="qu&atilde;dam">quandam</expan> inter Philo&longs;ophos vald&egrave; difficilem, <lb/>facile di&longs;&longs;olui. </s>
 1466  
 1467 <s>ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle&shy;<lb/>xibile &longs;ucce&longs;&longs;iu&egrave; findi, &amp; aperiri po&longs;&longs;it. </s> <s>ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle&shy;<lb/>xibile &longs;ucce&longs;&longs;iu&egrave; findi, &amp; aperiri po&longs;&longs;it. </s>
 1468  
 1469 <s>qui enim aiunt, &longs;ic refelluntur, quia <lb/>nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in&shy;<lb/>telligantur enim du&aelig; line&aelig;, vna in vna &longs;uperficie, altera vero in altera, qu&aelig; <lb/>antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio <lb/>non fit in in&longs;tanti, &longs;ed &longs;ucce&longs;&longs;iu&egrave;, facta iam aliqua apertionis parte con&longs;i&shy;<lb/>derentur pr&aelig;dict&aelig; line&aelig;, erit igitur earum pars aliqua ab inuicem &longs;epara&shy;<lb/>ta, altera ver&ograve; adhuc alteri congruens, ergo &longs;equetur, duas lineas habere <lb/>&longs;egmentum commune, quod e&longs;t impo&longs;&longs;ibile, quia contra 10. axioma.</s></p><p type="main"> <s>qui enim aiunt, &longs;ic refelluntur, quia <lb/>nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in&shy;<lb/>telligantur enim du&aelig; line&aelig;, vna in vna &longs;uperficie, altera vero in altera, qu&aelig; <lb/>antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio <lb/>non fit in in&longs;tanti, &longs;ed &longs;ucce&longs;&longs;iu&egrave;, facta iam aliqua apertionis parte con&longs;i&shy;<lb/>derentur pr&aelig;dict&aelig; line&aelig;, erit igitur earum pars aliqua ab inuicem &longs;epara&shy;<lb/>ta, altera ver&ograve; adhuc alteri congruens, ergo &longs;equetur, duas lineas habere <lb/>&longs;egmentum commune, quod e&longs;t impo&longs;&longs;ibile, quia contra 10. axioma.</s></p><p type="main">
 1470  
 1471 <s>Ad Calcem axiomatum primi accommodetur tex. <!-- REMOVE S-->1. primi Po&longs;ter.<!-- KEEP S--></s> <s>Ad Calcem axiomatum primi accommodetur tex. <!-- REMOVE S-->1. primi Po&longs;ter.<!-- KEEP S--></s>
 1472  
 1473 </p><p type="main"> </p><p type="main">
 1474  
 1475 <s>Ad primam primi, po&longs;t ip&longs;ius explicationem, commod&egrave; declarari pote&longs;t, cur <lb/>Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, &amp; De&longs;igna&shy;<lb/>tiones, vide cap.  <s>Ad primam primi, po&longs;t ip&longs;ius explicationem, commod&egrave; declarari pote&longs;t, cur <lb/>Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, &amp; De&longs;igna&shy;<lb/>tiones, vide cap.
 1476  
 1477 de Priori, &amp; cap.  de Priori, &amp; cap.
 1478  
 1479 24. &longs;ecti primi, libri primi Priorum, &amp; <lb/>tex. <!-- REMOVE S-->4. quinti Methaph. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->&amp; cap.  24. &longs;ecti primi, libri primi Priorum, &amp; <lb/>tex. <!-- REMOVE S-->4. quinti Methaph. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->&amp; cap.
 1480  
 1481 3. lib.  3. lib.
 1482  
 1483 3. Ethic. <lb/><!-- KEEP S--></s> 3. Ethic. <lb/><!-- KEEP S--></s>
 1484  
 1485  
 1486  
 1487  
 1488  
 1489  
 1490  
 1491  
 1492  
 1493 <s>Item ad primam primi, vide tex. <!-- REMOVE S-->7. &longs;ecundi Po&longs;ter. loco 2.<!-- KEEP S--></s> <s>Item ad primam primi, vide tex. <!-- REMOVE S-->7. &longs;ecundi Po&longs;ter. loco 2.<!-- KEEP S--></s>
 1494  
 1495 </p><p type="main"> </p><p type="main">
 1496  
 1497 <s>Ad 5. primi, vide cap.  <s>Ad 5. primi, vide cap.
 1498  
 1499 24. &longs;ecti 1 lib.  24. &longs;ecti 1 lib.
 1500  
 1501 1. Priorum.</s></p><p type="main"> 1. Priorum.</s></p><p type="main">
 1502  
 1503 <s>Ad 21. primi, vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> <s>Ad 21. primi, vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s>
 1504  
 1505  
 1506  
 1507 </p><p type="main"> </p><p type="main">
 1508  
 1509 <s>Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s></p><p type="main"> <s>Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s></p><p type="main">
 1510  
 1511 <s>Ad 28. primi, vide cap.  <s>Ad 28. primi, vide cap.
 1512  
 1513 21. &amp; cap.  21. &amp; cap.
 1514  
 1515 22. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, &amp; tex. <!-- REMOVE S-->13. primi Po&longs;ter.<!-- KEEP S--></s> 22. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, &amp; tex. <!-- REMOVE S-->13. primi Po&longs;ter.<!-- KEEP S--></s>
 1516  
 1517 </p><p type="main"> </p><p type="main">
 1518  
 1519 <s>Ad 32. primi, vide cap.  <s>Ad 32. primi, vide cap.
 1520  
 1521 1. &longs;ecti 3. lib.  1. &longs;ecti 3. lib.
 1522  
 1523 1. Prior. <!-- REMOVE S-->&amp; cap.  1. Prior. <!-- REMOVE S-->&amp; cap.
 1524  
 1525 26. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, &amp; tex. <!-- REMOVE S-->2. <lb/>primi Po&longs;ter. loco 4. &amp; tex. <!-- REMOVE S-->23. primi Po&longs;ter. <!-- REMOVE S-->vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam <lb/><expan abbr="dem&otilde;&longs;trationem">demon&longs;trationem</expan>. </s> 26. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, &amp; tex. <!-- REMOVE S-->2. <lb/>primi Po&longs;ter. loco 4. &amp; tex. <!-- REMOVE S-->23. primi Po&longs;ter. <!-- REMOVE S-->vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam <lb/><expan abbr="dem&otilde;&longs;trationem">demon&longs;trationem</expan>. </s>
 1526  
 1527  
 1528  
 1529  
 1530  
 1531  
 1532  
 1533  
 1534  
 1535 <s>&amp; tex. <!-- REMOVE S-->37. primi Po&longs;ter. &amp; tex. <!-- REMOVE S-->39. primi Po&longs;ter. <!-- KEEP S--></s> <s>&amp; tex. <!-- REMOVE S-->37. primi Po&longs;ter. &amp; tex. <!-- REMOVE S-->39. primi Po&longs;ter. <!-- KEEP S--></s>
 1536  
 1537  
 1538  
 1539  
 1540  
 1541 <s>Ibidem <lb/>loco 4. &amp; tex. <!-- REMOVE S-->43. primi Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->2. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->bis. </s> <s>Ibidem <lb/>loco 4. &amp; tex. <!-- REMOVE S-->43. primi Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->2. &longs;ecundi Po&longs;ter. <!-- REMOVE S-->bis. </s>
 1542  
 1543  
 1544  
 1545  
 1546  
 1547  
 1548  
 1549  
 1550  
 1551 <s>&amp; tex. <!-- REMOVE S-->89. &longs;e&shy;<lb/>cundi Phy&longs;. &amp; tex. <!-- REMOVE S-->15. octaui Phy&longs;. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->119. primi de C&oelig;lo. <!-- KEEP S--></s> <s>&amp; tex. <!-- REMOVE S-->89. &longs;e&shy;<lb/>cundi Phy&longs;. &amp; tex. <!-- REMOVE S-->15. octaui Phy&longs;. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->119. primi de C&oelig;lo. <!-- KEEP S--></s>
 1552  
 1553  
 1554  
 1555  
 1556  
 1557  
 1558  
 1559  
 1560  
 1561 <s>&amp; tex. <!-- REMOVE S-->25. <lb/>&longs;ecundi de C&oelig;lo. <!-- KEEP S--></s> <s>&amp; tex. <!-- REMOVE S-->25. <lb/>&longs;ecundi de C&oelig;lo. <!-- KEEP S--></s>
 1562  
 1563  
 1564  
 1565 <s>tex 11. primi de Anima. <!-- REMOVE S-->&amp; cap.  <s>tex 11. primi de Anima. <!-- REMOVE S-->&amp; cap.
 1566  
 1567 1. de mem. </s> 1. de mem. </s>
 1568  
 1569  
 1570  
 1571 <s>&amp; remini&longs;c. <lb/></s> <s>&amp; remini&longs;c. <lb/></s>
 1572  
 1573 <s>&amp; tex. <!-- REMOVE S-->35. quinti Methaphy&longs;. &amp; tex. <!-- REMOVE S-->20. &longs;exti Methaphy&longs;. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->22. &longs;exti <lb/>Methaphy&longs;. <!-- REMOVE S-->&amp; cap.  <s>&amp; tex. <!-- REMOVE S-->35. quinti Methaphy&longs;. &amp; tex. <!-- REMOVE S-->20. &longs;exti Methaphy&longs;. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->22. &longs;exti <lb/>Methaphy&longs;. <!-- REMOVE S-->&amp; cap.
 1574  
 1575 4. lib.  4. lib.
 1576  
 1577 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s>
 1578  
 1579  
 1580  
 1581  
 1582  
 1583  
 1584  
 1585  
 1586  
 1587  
 1588  
 1589  
 1590  
 1591 <s>&amp; cap.  <s>&amp; cap.
 1592  
 1593 5. lib.  5. lib.
 1594  
 1595 6. Ethic. <!-- REMOVE S-->&amp; <lb/>cap.  6. Ethic. <!-- REMOVE S-->&amp; <lb/>cap.
 1596  
 1597 2. Magnorum Moral. &amp; cap.  2. Magnorum Moral. &amp; cap.
 1598  
 1599 10. Mag. Moral. &amp; cap. 16. Mag. Moral. <lb/><!-- REMOVE S-->&amp; cap. <!-- REMOVE S-->7. &longs;ecundi Eudem. &amp; cap. <!-- REMOVE S-->12. &longs;ecundi Eudem. <!-- REMOVE S-->&amp; problema 6. &longs;ectio&shy;<pb pagenum="23"/>nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica h&aelig;c Euclidis Demon&longs;tratio.</s> 10. Mag. Moral. &amp; cap. 16. Mag. Moral. <lb/><!-- REMOVE S-->&amp; cap. <!-- REMOVE S-->7. &longs;ecundi Eudem. &amp; cap. <!-- REMOVE S-->12. &longs;ecundi Eudem. <!-- REMOVE S-->&amp; problema 6. &longs;ectio&shy;<pb pagenum="23"/>nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica h&aelig;c Euclidis Demon&longs;tratio.</s>
 1600  
 1601  
 1602  
 1603  
 1604  
 1605  
 1606  
 1607  
 1608  
 1609 </p><p type="main"> </p><p type="main">
 1610  
 1611 <s>Ad &longs;cholion pr&aelig;cedentis 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> <s>Ad &longs;cholion pr&aelig;cedentis 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>
 1612  
 1613  
 1614  
 1615  
 1616  
 1617 </p><p type="main"> </p><p type="main">
 1618  
 1619 <s>Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s></p><p type="main"> <s>Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s></p><p type="main">
 1620  
 1621 <s>Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s></p><p type="main"> <s>Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s></p><p type="main">
 1622  
 1623 <s>Ad 47. primi, vide locum 11. de lineis in&longs;ecab. </s> <s>Ad 47. primi, vide locum 11. de lineis in&longs;ecab. </s>
 1624  
 1625 <s>Item locum 14. de ij&longs;dem.</s></p><p type="head"> <s>Item locum 14. de ij&longs;dem.</s></p><p type="head">
 1626  
 1627 <s><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1628  
 1629 <s>Ad 2. definitionem 2. Gnomonis, vide cap.  <s>Ad 2. definitionem 2. Gnomonis, vide cap.
 1630  
 1631 de Motu in Po&longs;tpr&aelig;dicam. </s> de Motu in Po&longs;tpr&aelig;dicam. </s>
 1632  
 1633 <s>Qua&shy;<lb/>dratum augetur Gnomone circumpo&longs;ito.</s></p><p type="main"> <s>Qua&shy;<lb/>dratum augetur Gnomone circumpo&longs;ito.</s></p><p type="main">
 1634  
 1635 <s>Ad 14. propo&longs;. </s> <s>Ad 14. propo&longs;. </s>
 1636  
 1637 <s>2. opportunum e&longs;t Auditores de Quadratura circuli erudire, <lb/>vide igitur cap.  <s>2. opportunum e&longs;t Auditores de Quadratura circuli erudire, <lb/>vide igitur cap.
 1638  
 1639 de relatione in pr&aelig;dicam. </s> de relatione in pr&aelig;dicam. </s>
 1640  
 1641 <s>&amp; cap.  <s>&amp; cap.
 1642  
 1643 31. &longs;ecundi Priorum, &amp; <lb/>tex. <!-- REMOVE S-->23. primi Po&longs;ter. &amp; finem 1. cap. primi Elenchorum. </s> 31. &longs;ecundi Priorum, &amp; <lb/>tex. <!-- REMOVE S-->23. primi Po&longs;ter. &amp; finem 1. cap. primi Elenchorum. </s>
 1644  
 1645  
 1646  
 1647 <s>lege primam Ar&shy;<lb/>chimedis de dimen&longs;ione circuli.</s></p><p type="head"> <s>lege primam Ar&shy;<lb/>chimedis de dimen&longs;ione circuli.</s></p><p type="head">
 1648  
 1649 <s><emph type="italics"/>In tertio Elem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main"> <s><emph type="italics"/>In tertio Elem.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
 1650  
 1651 <s>Ad primam 3. vide cap.  <s>Ad primam 3. vide cap.
 1652  
 1653 9. lib.  9. lib.
 1654  
 1655 2. Ethycorum.</s></p><p type="main"> 2. Ethycorum.</s></p><p type="main">
 1656  
 1657 <s>Ad 2. tertij, vide tex. <!-- REMOVE S-->13. lib.  <s>Ad 2. tertij, vide tex. <!-- REMOVE S-->13. lib.
 1658  
 1659 1. de Anima. <!-- REMOVE S-->&amp; locum 16. de lineis in&longs;ecab.</s> 1. de Anima. <!-- REMOVE S-->&amp; locum 16. de lineis in&longs;ecab.</s>
 1660  
 1661  
 1662  
 1663 </p><p type="main"> </p><p type="main">
 1664  
 1665 <s>Ad 31. tertij, vide tex. <!-- REMOVE S-->11. &longs;ecundi Po&longs;ter. &amp; tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s> <s>Ad 31. tertij, vide tex. <!-- REMOVE S-->11. &longs;ecundi Po&longs;ter. &amp; tex. <!-- REMOVE S-->20. &longs;exti Methaph. <!-- REMOVE S-->loco 2.<!-- KEEP S--></s>
 1666  
 1667  
 1668  
 1669  
 1670  
 1671 </p><p type="head"> </p><p type="head">
 1672  
 1673 <s><emph type="italics"/>In quarto.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In quarto.<emph.end type="italics"/></s></p><p type="main">
 1674  
 1675 <s>Ad commentarium P. <!-- REMOVE S-->Clauij extremum lib.  <s>Ad commentarium P. <!-- REMOVE S-->Clauij extremum lib.
 1676  
 1677 4. elementorum. </s> 4. elementorum. </s>
 1678  
 1679  
 1680  
 1681 <s>lege tex. <!-- REMOVE S-->66. <lb/>tertij de C&oelig;lo.<!-- KEEP S--></s> <s>lege tex. <!-- REMOVE S-->66. <lb/>tertij de C&oelig;lo.<!-- KEEP S--></s>
 1682  
 1683 </p><p type="head"> </p><p type="head">
 1684  
 1685 <s><emph type="italics"/>In quinto.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In quinto.<emph.end type="italics"/></s></p><p type="main">
 1686  
 1687 <s>Ad 4. definitionem 5. vide cap.  <s>Ad 4. definitionem 5. vide cap.
 1688  
 1689 3. lib.  3. lib.
 1690  
 1691 2. Ethyc.<!-- KEEP S--></s></p><p type="main"> 2. Ethyc.<!-- KEEP S--></s></p><p type="main">
 1692  
 1693 <s>Ad 9. definitionem 5. vide cap.  <s>Ad 9. definitionem 5. vide cap.
 1694  
 1695 3. lib.  3. lib.
 1696  
 1697 5. Ethyc. <!-- REMOVE S-->loco 4. &amp; cap. 31. primi Ma&shy;<lb/>gnorum Moralium.</s> 5. Ethyc. <!-- REMOVE S-->loco 4. &amp; cap. 31. primi Ma&shy;<lb/>gnorum Moralium.</s>
 1698  
 1699 </p><p type="main"> </p><p type="main">
 1700  
 1701 <s>Ad 10. definitionem 5. vide tex. <!-- REMOVE S-->29. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> <s>Ad 10. definitionem 5. vide tex. <!-- REMOVE S-->29. primi Po&longs;ter. loco 2.<!-- KEEP S--></s>
 1702  
 1703 </p><p type="main"> </p><p type="main">
 1704  
 1705 <s>Ad 12. definitionem 5. vide tex. <!-- REMOVE S-->13. primi Po&longs;ter. <!-- REMOVE S-->loco 3. &amp; tex. <!-- REMOVE S-->25. &longs;ecundi <lb/>Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->32. tertij de Anima. <!-- REMOVE S-->&amp; cap.  <s>Ad 12. definitionem 5. vide tex. <!-- REMOVE S-->13. primi Po&longs;ter. <!-- REMOVE S-->loco 3. &amp; tex. <!-- REMOVE S-->25. &longs;ecundi <lb/>Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->32. tertij de Anima. <!-- REMOVE S-->&amp; cap.
 1706  
 1707 3. lib.  3. lib.
 1708  
 1709 5. Ethyc. <!-- REMOVE S-->loco 4.<!-- KEEP S--></s> 5. Ethyc. <!-- REMOVE S-->loco 4.<!-- KEEP S--></s>
 1710  
 1711  
 1712  
 1713  
 1714  
 1715  
 1716  
 1717  
 1718  
 1719  
 1720  
 1721  
 1722  
 1723 </p><p type="main"> </p><p type="main">
 1724  
 1725 <s>Ad 16. propo&longs;. </s> <s>Ad 16. propo&longs;. </s>
 1726  
 1727 <s>5. vide tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon&shy;<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> <s>5. vide tex. <!-- REMOVE S-->25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon&shy;<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>
 1728  
 1729  
 1730  
 1731  
 1732  
 1733 </p><p type="main"> </p><p type="main">
 1734  
 1735 <s>Vt &longs;e habet voluntas antiqua ad antiquum effectum, <lb/>Ita &longs;e habet etiam voluntas noua ad effectum nouum: <lb/>Ergo permutando, ita &longs;e habebit voluntas antiqua ad effectum nouum. <lb/></s> <s>Vt &longs;e habet voluntas antiqua ad antiquum effectum, <lb/>Ita &longs;e habet etiam voluntas noua ad effectum nouum: <lb/>Ergo permutando, ita &longs;e habebit voluntas antiqua ad effectum nouum. <lb/></s>
 1736  
 1737 <s>Quemadmodum voluntas noua ad effectum antiquum.</s></p><p type="main"> <s>Quemadmodum voluntas noua ad effectum antiquum.</s></p><p type="main">
 1738  
 1739 <s>Non enim in permutando confert antecedentem ad antecedentem, &amp; con&shy;<lb/>&longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad <lb/>con&longs;equentem, quod non licet.</s></p><p type="head"> <s>Non enim in permutando confert antecedentem ad antecedentem, &amp; con&shy;<lb/>&longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad <lb/>con&longs;equentem, quod non licet.</s></p><p type="head">
 1740  
 1741 <s><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s></p><p type="main">
 1742  
 1743 <s>Ad 2. propo&longs;it. </s> <s>Ad 2. propo&longs;it. </s>
 1744  
 1745 <s>6. vide cap.  <s>6. vide cap.
 1746  
 1747 2. lib.  2. lib.
 1748  
 1749 8. Topicorum loco 41.</s></p><p type="main"> 8. Topicorum loco 41.</s></p><p type="main">
 1750  
 1751 <s>Ad 13. &longs;exti, vide tex. <!-- REMOVE S-->12. &longs;ecundi de Anima, &amp; tex. <!-- REMOVE S-->3. tertij Methaphy&longs;.<!-- REMOVE S--><emph type="italics"/>In &longs;eptimo.<emph.end type="italics"/></s> <s>Ad 13. &longs;exti, vide tex. <!-- REMOVE S-->12. &longs;ecundi de Anima, &amp; tex. <!-- REMOVE S-->3. tertij Methaphy&longs;.<!-- REMOVE S--><emph type="italics"/>In &longs;eptimo.<emph.end type="italics"/></s>
 1752  
 1753  
 1754  
 1755 </p><p type="main"> </p><p type="main">
 1756  
 1757 <s>Ad primam definitionem 7. vide tex. <!-- REMOVE S-->5. primi Po&longs;ter.<!-- KEEP S--></s> <s>Ad primam definitionem 7. vide tex. <!-- REMOVE S-->5. primi Po&longs;ter.<!-- KEEP S--></s>
 1758  
 1759 </p><p type="main"> </p><p type="main">
 1760  
 1761 <s>Ad 8. definitionem 7. vide cap.  <s>Ad 8. definitionem 7. vide cap.
 1762  
 1763 1. lib.  1. lib.
 1764  
 1765 1. Magnorum Moral.<!-- KEEP S--></s></p><p type="head"> 1. Magnorum Moral.<!-- KEEP S--></s></p><p type="head">
 1766  
 1767 <s><emph type="italics"/>In octauo.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In octauo.<emph.end type="italics"/></s></p><p type="main">
 1768  
 1769 <s>Ad 4. propo&longs;. </s> <s>Ad 4. propo&longs;. </s>
 1770  
 1771 <s>9. vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. loco 2.<!-- KEEP S--></s> <s>9. vide tex. <!-- REMOVE S-->20. primi Po&longs;ter. loco 2.<!-- KEEP S--></s>
 1772  
 1773 </p><p type="main"> </p><p type="main">
 1774  
 1775 <s>Ad 8. propo&longs;. </s> <s>Ad 8. propo&longs;. </s>
 1776  
 1777 <s>9. vide problem. </s> <s>9. vide problem. </s>
 1778  
 1779 <s>3. &longs;ectionis 15. loco 4.<!-- KEEP S--></s></p><pb pagenum="24"/><p type="head"> <s>3. &longs;ectionis 15. loco 4.<!-- KEEP S--></s></p><pb pagenum="24"/><p type="head">
 1780  
 1781 <s><emph type="italics"/>In decimo.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In decimo.<emph.end type="italics"/></s></p><p type="main">
 1782  
 1783 <s>Ad primam definitionem 10. vide cap.  <s>Ad primam definitionem 10. vide cap.
 1784  
 1785 23. &longs;ecti 1. primi Priorum. </s> 23. &longs;ecti 1. primi Priorum. </s>
 1786  
 1787 <s>&amp; tex. <!-- REMOVE S-->48. <lb/>primi de C&oelig;lo.<!-- KEEP S--></s> <s>&amp; tex. <!-- REMOVE S-->48. <lb/>primi de C&oelig;lo.<!-- KEEP S--></s>
 1788  
 1789 </p><p type="main"> </p><p type="main">
 1790  
 1791 <s>Ad 118. decimi, vide cap.  <s>Ad 118. decimi, vide cap.
 1792  
 1793 23. &longs;ecti 1. libri 1. Priorum. </s> 23. &longs;ecti 1. libri 1. Priorum. </s>
 1794  
 1795 <s>&amp; &longs;ecto 2. cap.  <s>&amp; &longs;ecto 2. cap.
 1796  
 1797 23. li&shy;<lb/>bri 1. Priorum. </s> 23. li&shy;<lb/>bri 1. Priorum. </s>
 1798  
 1799 <s>&amp; cap. 22. lib.  <s>&amp; cap. 22. lib.
 1800  
 1801 2. Priorum. </s> 2. Priorum. </s>
 1802  
 1803 <s>&amp; tex. <!-- REMOVE S-->5. primi Po&longs;ter. &amp; tex. <!-- REMOVE S-->44. <lb/>primi Po&longs;ter. <!-- REMOVE S-->&amp; cap.  <s>&amp; tex. <!-- REMOVE S-->5. primi Po&longs;ter. &amp; tex. <!-- REMOVE S-->44. <lb/>primi Po&longs;ter. <!-- REMOVE S-->&amp; cap.
 1804  
 1805 15. primi Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->119. primi de C&oelig;lo. <!-- KEEP S--></s> 15. primi Po&longs;ter. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->119. primi de C&oelig;lo. <!-- KEEP S--></s>
 1806  
 1807  
 1808  
 1809  
 1810  
 1811  
 1812  
 1813  
 1814  
 1815  
 1816  
 1817 <s>&amp; tex. <lb/><!-- REMOVE S-->120. quarti Phy&longs;. &amp; tex. <!-- REMOVE S-->21. tertij de Anima. <!-- REMOVE S-->&amp; cap.  <s>&amp; tex. <lb/><!-- REMOVE S-->120. quarti Phy&longs;. &amp; tex. <!-- REMOVE S-->21. tertij de Anima. <!-- REMOVE S-->&amp; cap.
 1818  
 1819 1. primi Methaphy&longs;. <lb/><!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->28. quarti Met. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->34. quinti Met. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->8. &longs;exti Met. <!-- REMOVE S-->&amp; cap.  1. primi Methaphy&longs;. <lb/><!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->28. quarti Met. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->34. quinti Met. <!-- REMOVE S-->&amp; tex. <!-- REMOVE S-->8. &longs;exti Met. <!-- REMOVE S-->&amp; cap.
 1820  
 1821 4. <lb/>lib.  4. <lb/>lib.
 1822  
 1823 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s> 2. de Generat. <!-- REMOVE S-->animal. <!-- KEEP S--></s>
 1824  
 1825  
 1826  
 1827  
 1828  
 1829  
 1830  
 1831  
 1832  
 1833  
 1834  
 1835  
 1836  
 1837  
 1838  
 1839  
 1840  
 1841  
 1842  
 1843  
 1844  
 1845  
 1846  
 1847 <s>&amp; lib.  <s>&amp; lib.
 1848  
 1849 3. cap.  3. cap.
 1850  
 1851 3. Ethyc. <!-- REMOVE S-->&amp; cap. 10. &longs;ecundi Eu&shy;<lb/>dem. <!-- KEEP S--></s> 3. Ethyc. <!-- REMOVE S-->&amp; cap. 10. &longs;ecundi Eu&shy;<lb/>dem. <!-- KEEP S--></s>
 1852  
 1853  
 1854  
 1855 <s>tot Ari&longs;t.  <s>tot Ari&longs;t.
 1856  
 1857 loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s></p><p type="head"> loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s></p><p type="head">
 1858  
 1859 <s><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s></p><p type="main">
 1860  
 1861 <s>Ad primam propo&longs;. </s> <s>Ad primam propo&longs;. </s>
 1862  
 1863 <s>13. &longs;ecundum editionem Commandini, aut Zamberti. <lb/><!-- KEEP S--></s> <s>13. &longs;ecundum editionem Commandini, aut Zamberti. <lb/><!-- KEEP S--></s>
 1864  
 1865 <s>vide initio Priorum, in verbum (Re&longs;olutio)</s></p><p type="main"> <s>vide initio Priorum, in verbum (Re&longs;olutio)</s></p><p type="main">
 1866  
 1867 <s>Atqne h&aelig;c &longs;unt, qu&aelig; ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit, <lb/>qu&aelig;que nos infra explicabimus.</s></p><p type="head"> <s>Atqne h&aelig;c &longs;unt, qu&aelig; ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit, <lb/>qu&aelig;que nos infra explicabimus.</s></p><p type="head">
 1868  
 1869 <s><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s></p><p type="main"> <s><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s></p><p type="main">
 1870  
 1871 <s>Qu&aelig; ver&ograve; ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe&shy;<lb/>ctiuam, Mechanicam, &amp; A&longs;tronomiam pertinens, facil&egrave; <lb/>poterunt ex primo Indice ad vnamquamque earum &longs;eor&shy;<lb/>&longs;um cum libuerit, &longs;ecerni.</s></p></section><pb pagenum="25"/><section><p type="head"> <s>Qu&aelig; ver&ograve; ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe&shy;<lb/>ctiuam, Mechanicam, &amp; A&longs;tronomiam pertinens, facil&egrave; <lb/>poterunt ex primo Indice ad vnamquamque earum &longs;eor&shy;<lb/>&longs;um cum libuerit, &longs;ecerni.</s></p></section><pb pagenum="25"/><section><p type="head">
 1872  
 1873 <s><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s></p><p type="head">
 1874  
 1875 <s><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/><lb/><arrow.to.target n="table2"/></s></p><table><table.target id="table2"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Abductio quid. eius inuentor. numero 16. marginali.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Acuti den&longs;um quid.<emph.end type="italics"/></cell><cell>399</cell></row><row><cell><emph type="italics"/>Aequalitas mathematica, qu&aelig;.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ae&longs;tus maris natura.<emph.end type="italics"/></cell><cell>272</cell></row><row><cell><emph type="italics"/>Aequitas arithmetica, &amp; &aelig;quitas &longs;ecundum dignitatem.<emph.end type="italics"/></cell><cell>330</cell></row><row><cell><emph type="italics"/>Agathir&longs;i populi.<emph.end type="italics"/></cell><cell>382</cell></row><row><cell><emph type="italics"/>Angulus quid. vt nominari debeat 10. angulum in &longs;emicirculo e&longs;&longs;e rectum o&longs;tendi   per cau&longs;am materialem.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>Angulus rectus vari&egrave; con&longs;ideratur &agrave; Geometra, &amp; &agrave; Fabro.<emph.end type="italics"/></cell><cell>301</cell></row><row><cell><emph type="italics"/>Antiphontis quadratura circuli.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Antenn&aelig; nauis problema.<emph.end type="italics"/></cell><cell>248</cell></row><row><cell><emph type="italics"/>Antipbon&aelig; voces.<emph.end type="italics"/> 358. 363. 370. 371.</cell><cell>373</cell></row><row><cell><emph type="italics"/>Apum mirabilis indu&longs;tria.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Apotome linea, qu&aelig;.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Aqu&aelig; &longs;uperficiem e&longs;&longs;e &longs;ph&aelig;ricam ratione mathematica.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Arithmetica proportio.<emph.end type="italics"/></cell><cell>302</cell></row><row><cell><emph type="italics"/>Aranei industria patefacta, qua ad res inaca&longs;&longs; as tran&longs;eat.<emph.end type="italics"/></cell><cell>293</cell></row><row><cell><emph type="italics"/>filum emittit ex &longs;ece&longs;&longs;u contra Ari&longs;totelem pro Democrito.<emph.end type="italics"/></cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Astronomi&aelig; principia duo, Apparentia, &amp; Ob&longs;eruatio.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Automata, qu&aelig;.<emph.end type="italics"/> 199. 298.</cell><cell><emph type="italics"/>a. b.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ba&longs;is ballarum in aqua, cur &longs;it alba, &amp; cur non faciat vmbram.<emph.end type="italics"/></cell><cell>351</cell></row><row><cell><emph type="italics"/>Binomium linea, qu&aelig;.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Bra&longs;ilien&longs;es, qua ratione numer are &longs;oliti.<emph.end type="italics"/></cell><cell>340</cell></row><row><cell><emph type="italics"/>Bry&longs;onis quadratura circuli.<emph.end type="italics"/></cell><cell>35</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Calippi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell><cell>236</cell></row><row><cell><emph type="italics"/>Cantilenam notam &longs;uauius, quam ignotam audimus.<emph.end type="italics"/></cell><cell>362</cell></row><row><cell><emph type="italics"/>Centrum circuli reperire. 303. Centrum mundi mathematic&egrave; o&longs;tenditur. 123. Cen-trum grauitatis, &amp; molis.<emph.end type="italics"/> 38.</cell><cell>112</cell></row><row><cell><emph type="italics"/>Chordarum veterum nomina.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Circuli quadratura quid. an po&longs;&longs;ibilis. num. 1. Circulorum concentricorum maiores   velocius moueri. 108. Circuli admiranda. 239. De circulorum concentricorum   volutatione.<emph.end type="italics"/></cell><cell>263</cell></row><row><cell><emph type="italics"/>Coaltern&aelig; line&aelig;, qu&aelig;.<emph.end type="italics"/> 12. 14.</cell><cell>44</cell></row><row><cell><emph type="italics"/>C&oelig;lorum ordinem petendum ex A&longs;tronomis 109. item numerum<emph.end type="italics"/></cell><cell>233</cell></row><row><cell><emph type="italics"/>Colores in mu&longs;ica 78. Colores oculorum vnde.<emph.end type="italics"/></cell><cell>408</cell></row><row><cell><emph type="italics"/>Cometarum tractatiuncula ex recentioribus, qui eas in C&oelig;lo collocant. 136. e&longs;&longs;e &longs;u-pra aerem longi&longs;&longs;imo &longs;altem interuallo o&longs;tenditur mathematic&egrave;. 129. in additione.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Con&longs;onantia, quid. 64. quibus numeris con&longs;onanti&aelig; con&longs;tent.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Conus, &amp; cylindrus, cur vari&egrave; mouentur.<emph.end type="italics"/></cell><cell>355</cell></row><pb pagenum="26"/><row><cell><emph type="italics"/>Cubus numerus. duo cubi cubus, quid &longs;ignificet.<emph.end type="italics"/></cell><cell>33</cell></row><row><cell><emph type="italics"/>Curru problema.<emph.end type="italics"/></cell><cell>252</cell></row><row><cell><emph type="italics"/>Cunei problema.<emph.end type="italics"/></cell><cell>256</cell></row><row><cell><emph type="italics"/>Cylindri, &amp; coni motus comparatio problematica.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Definitiones mathematic&aelig; e&longs;&longs;e e&longs;&longs;entiales, &amp; perfe&longs;&longs;imas. cap. 1. de nat. Math.   definitionum v&longs;us in Mathematicis.<emph.end type="italics"/></cell><cell>81</cell></row><row><cell><emph type="italics"/>De&longs;criptio, &amp; de&longs;cribere, quid.<emph.end type="italics"/> 2. 6. 7.</cell><cell>205</cell></row><row><cell><emph type="italics"/>De&longs;ignatio pro demon&longs;tratione mathematica.<emph.end type="italics"/></cell><cell>305</cell></row><row><cell><emph type="italics"/>Demon&longs;trationis perfect&aelig; exemplum. 36. demon&longs;trationum mathematicarum pr&aelig;-&longs;tantia. cap. 4. de nat. Mathem.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Dentiforcipis problema.<emph.end type="italics"/></cell><cell>260</cell></row><row><cell><emph type="italics"/>Denarij numeri perfectio. 339. cur <expan abbr="v&longs;q;">v&longs;que</expan> ad denari&ubreve; omnes <expan abbr="g&etilde;tes">gentes</expan> <expan abbr="numer&etilde;t">numerent</expan>.<emph.end type="italics"/></cell><cell>339. 8. <emph type="italics"/>&amp;c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Diameter incommen&longs;urabilis cost&aelig;. 5. diametri etymon.<emph.end type="italics"/></cell><cell>337</cell></row><row><cell><emph type="italics"/>Diapa&longs;on quid. 90. 350. omnium con&longs;onantiarum pulcberrima.<emph.end type="italics"/></cell><cell>388</cell></row><row><cell><emph type="italics"/>Diapa&longs;on diapente.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Diapente con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Diate&longs;&longs;aron con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Di&longs;d apa&longs;on con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Die&longs;is, quid.<emph.end type="italics"/> 53.</cell><cell>226</cell></row><row><cell><emph type="italics"/>Dolia duo, quomodo aliquando Diapa&longs;on re&longs;onent.<emph.end type="italics"/></cell><cell>402</cell></row><row><cell><emph type="italics"/>Duplum inter multiplicia primum e&longs;t.<emph.end type="italics"/></cell><cell>322</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa mundi non componi ex figuris geometricis.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Elementa geometrica, qu&aelig;.<emph.end type="italics"/> 82.</cell><cell>213</cell></row><row><cell><emph type="italics"/>Eudoxi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell><cell>234</cell></row><row><cell><emph type="italics"/>Exempla mathematicorum, qualia. 11. non e&longs;&longs;e fal&longs;a.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>Exemplorum veritas, &amp; conformitas, quatenus requirantur.<emph.end type="italics"/></cell><cell>36</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Figuram omnem planam habere &longs;uos angulos externos <expan abbr="quotc&ubreve;q;">quotc&ubreve;que</expan> &aelig;quales quatuor   rectis angulis, qu&aelig; e&longs;t mira proprietas.<emph.end type="italics"/></cell><cell>59</cell></row><row><cell><emph type="italics"/>Figur&aelig; &longs;imiles, qu&aelig;.<emph.end type="italics"/></cell><cell>70</cell></row><row><cell><emph type="italics"/>Figurarum planarum ordo 88. qu&aelig; nam totum locum repleant.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Figurarum &longs;olidarum, qu&aelig;nam totum locum repleant: vbi Ari&longs;t. &amp; omnium expo&longs;i-torum rratum aperitur.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Figuratio lucis.<emph.end type="italics"/></cell><cell>345</cell></row><row><cell><emph type="italics"/>Figurationes pro demonftrationibus Mathem.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Filum Araneorum, ex qua parte corporis exeat, &amp; ex qua materia.<emph.end type="italics"/></cell><cell>293</cell></row><row><cell><emph type="italics"/>Fluxus, ac refluxus maris.<emph.end type="italics"/></cell><cell>272</cell></row><row><cell><emph type="italics"/>Funium lectorum problema.<emph.end type="italics"/></cell><cell>264</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Galaxia quid. 131. Ari&longs;toteles defen&longs;us.<emph.end type="italics"/> 132.</cell><cell>140</cell></row><row><cell><emph type="italics"/>Galibei recens ob&longs;eruatio.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Generatria Mu&longs;ic&aelig; veteris. 78. Fus&egrave; explicantur.<emph.end type="italics"/></cell><cell>371</cell></row><row><cell><emph type="italics"/>Geod&aelig;&longs;ia.<emph.end type="italics"/></cell><cell>207</cell></row><row><cell><emph type="italics"/>Geographi&aelig; veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell><cell>149</cell></row><pb pagenum="27"/><row><cell><emph type="italics"/>Gnomon, quid. 3. &amp;<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>Gnomones numeri.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Graue qua ratione ad centrum mundi de&longs;cenderet, eiqu&eacute; aptaretur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Grauiden&longs;um, quid.<emph.end type="italics"/></cell><cell>399</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Halonis demonfiratio.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>Hippocratis chij quadratura circuli. 17. <expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> quadratura lunul&aelig; optima.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Hyades, Atlantides, &amp; Succul&aelig;.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>Hypate, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Hypotenu&longs;a in ince&longs;&longs;u animalium.<emph.end type="italics"/></cell><cell>294</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Illuminationes Solis deficientis per foramina tran&longs;euntes, eur &longs;int defectiu&aelig;.<emph.end type="italics"/></cell><cell>350</cell></row><row><cell><emph type="italics"/>modus videndi eclyp&longs;im facilis, ac iucundus.<emph.end type="italics"/></cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Ince&longs;&longs;us animalium lineis explicatur.<emph.end type="italics"/></cell><cell>294. <emph type="italics"/>&amp; <expan abbr="&longs;eqq.">&longs;eqque</expan><emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Incommen&longs;urabilia, qu&aelig;, &amp; eorum inuentores.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Indiui&longs;ibilia mathematica e&longs;&longs;e priuationes. 189. oriri ex diui&longs;ione. 231. eorum duo   genera.<emph.end type="italics"/></cell><cell>276</cell></row><row><cell><emph type="italics"/>Infinito, qua ratione vtantur Mathematici.<emph.end type="italics"/> 94.</cell><cell>96</cell></row><row><cell><emph type="italics"/>Iridis demon&longs;tratio &longs;ecundum Ari&longs;t. 163. &amp; &longs;equentibus. Item noua de Iride tra-ctatio. ibidem in additione.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iugum in lyra quid, &amp; eius figura.<emph.end type="italics"/></cell><cell>396</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Leges mu&longs;icales.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Libra maior, cur exactior. initio Mechanicarum qu&aelig;&longs;t.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Linea, qu&aelig; terminus est illuminationis in Luna, cur modo recta, modo curua vi-deatur.<emph.end type="italics"/></cell><cell>346</cell></row><row><cell><emph type="italics"/>Line&aelig; rationales, &amp; irrationales, &amp;c.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Lumen oculorum noctu videntium, in qua oculi parte manet. in addit. de Pupilla.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lumen Solis, cur &longs;it circulare, quamuis per foramina angulo&longs;a ingrediatur.<emph.end type="italics"/></cell><cell>345</cell></row><row><cell><emph type="italics"/>Luna plana, cur appareat, cum &longs;it &longs;ph&aelig;rica. 347. cur in eadem altitudine cum Sole   &longs;upra horizontem, maiorem vmbram efficiat.<emph.end type="italics"/></cell><cell>349</cell></row><row><cell><emph type="italics"/>Lunam e&longs;&longs;e &longs;ph&aelig;ricam. 48. illuminari &longs;ph&aelig;ric&egrave; quid: ibidem &amp; de illuminatione Lu-n&aelig;. iterum e&longs;&longs;e &longs;ph&aelig;ricam ab eclyp&longs;ibus.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Luminarium Solis, &amp; Lun&aelig; ordo.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Lychanos, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Lyr&aelig; veteris figura.<emph.end type="italics"/></cell><cell>396</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Magalis, &longs;eu magas, &amp; magadi&longs;&longs;are.<emph.end type="italics"/> 373.</cell><cell>393</cell></row><row><cell><emph type="italics"/>Materia intelligibilis. fus&egrave; ver&ograve;. explicatur in tract. de nat. Mathem.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mathematic&aelig; medi&aelig;, &longs;eu &longs;ubalternat&aelig; habent propter quid &longs;uarum demon&longs;iratio-nem.<emph.end type="italics"/></cell><cell>50</cell></row><row><cell><emph type="italics"/>Mathematici negant reperiri quantitatem indiui&longs;ibilem, &longs;eu minimam.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Mathematic&aelig; non &longs;unt contentio&longs;&aelig;. 83. ostendunt per cau&longs;am formalcm.<emph.end type="italics"/></cell><cell>91</cell></row><row><cell><emph type="italics"/>Mathematicas inuenerunt Aegyptij Sacerdotes.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Mathematic&aelig; o&longs;tendunt per cau&longs;am materialem, &amp; formalem. 205. earum vtilitas.   ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell><cell/></row> <s><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/><lb/><arrow.to.target n="table2"/></s></p><table><table.target id="table2"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Abductio quid. eius inuentor. numero 16. marginali.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Acuti den&longs;um quid.<emph.end type="italics"/></cell><cell>399</cell></row><row><cell><emph type="italics"/>Aequalitas mathematica, qu&aelig;.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Ae&longs;tus maris natura.<emph.end type="italics"/></cell><cell>272</cell></row><row><cell><emph type="italics"/>Aequitas arithmetica, &amp; &aelig;quitas &longs;ecundum dignitatem.<emph.end type="italics"/></cell><cell>330</cell></row><row><cell><emph type="italics"/>Agathir&longs;i populi.<emph.end type="italics"/></cell><cell>382</cell></row><row><cell><emph type="italics"/>Angulus quid. vt nominari debeat 10. angulum in &longs;emicirculo e&longs;&longs;e rectum o&longs;tendi   per cau&longs;am materialem.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>Angulus rectus vari&egrave; con&longs;ideratur &agrave; Geometra, &amp; &agrave; Fabro.<emph.end type="italics"/></cell><cell>301</cell></row><row><cell><emph type="italics"/>Antiphontis quadratura circuli.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Antenn&aelig; nauis problema.<emph.end type="italics"/></cell><cell>248</cell></row><row><cell><emph type="italics"/>Antipbon&aelig; voces.<emph.end type="italics"/> 358. 363. 370. 371.</cell><cell>373</cell></row><row><cell><emph type="italics"/>Apum mirabilis indu&longs;tria.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Apotome linea, qu&aelig;.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Aqu&aelig; &longs;uperficiem e&longs;&longs;e &longs;ph&aelig;ricam ratione mathematica.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Arithmetica proportio.<emph.end type="italics"/></cell><cell>302</cell></row><row><cell><emph type="italics"/>Aranei industria patefacta, qua ad res inaca&longs;&longs; as tran&longs;eat.<emph.end type="italics"/></cell><cell>293</cell></row><row><cell><emph type="italics"/>filum emittit ex &longs;ece&longs;&longs;u contra Ari&longs;totelem pro Democrito.<emph.end type="italics"/></cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Astronomi&aelig; principia duo, Apparentia, &amp; Ob&longs;eruatio.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Automata, qu&aelig;.<emph.end type="italics"/> 199. 298.</cell><cell><emph type="italics"/>a. b.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ba&longs;is ballarum in aqua, cur &longs;it alba, &amp; cur non faciat vmbram.<emph.end type="italics"/></cell><cell>351</cell></row><row><cell><emph type="italics"/>Binomium linea, qu&aelig;.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Bra&longs;ilien&longs;es, qua ratione numer are &longs;oliti.<emph.end type="italics"/></cell><cell>340</cell></row><row><cell><emph type="italics"/>Bry&longs;onis quadratura circuli.<emph.end type="italics"/></cell><cell>35</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Calippi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell><cell>236</cell></row><row><cell><emph type="italics"/>Cantilenam notam &longs;uauius, quam ignotam audimus.<emph.end type="italics"/></cell><cell>362</cell></row><row><cell><emph type="italics"/>Centrum circuli reperire. 303. Centrum mundi mathematic&egrave; o&longs;tenditur. 123. Cen-trum grauitatis, &amp; molis.<emph.end type="italics"/> 38.</cell><cell>112</cell></row><row><cell><emph type="italics"/>Chordarum veterum nomina.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Circuli quadratura quid. an po&longs;&longs;ibilis. num. 1. Circulorum concentricorum maiores   velocius moueri. 108. Circuli admiranda. 239. De circulorum concentricorum   volutatione.<emph.end type="italics"/></cell><cell>263</cell></row><row><cell><emph type="italics"/>Coaltern&aelig; line&aelig;, qu&aelig;.<emph.end type="italics"/> 12. 14.</cell><cell>44</cell></row><row><cell><emph type="italics"/>C&oelig;lorum ordinem petendum ex A&longs;tronomis 109. item numerum<emph.end type="italics"/></cell><cell>233</cell></row><row><cell><emph type="italics"/>Colores in mu&longs;ica 78. Colores oculorum vnde.<emph.end type="italics"/></cell><cell>408</cell></row><row><cell><emph type="italics"/>Cometarum tractatiuncula ex recentioribus, qui eas in C&oelig;lo collocant. 136. e&longs;&longs;e &longs;u-pra aerem longi&longs;&longs;imo &longs;altem interuallo o&longs;tenditur mathematic&egrave;. 129. in additione.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Con&longs;onantia, quid. 64. quibus numeris con&longs;onanti&aelig; con&longs;tent.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Conus, &amp; cylindrus, cur vari&egrave; mouentur.<emph.end type="italics"/></cell><cell>355</cell></row><pb pagenum="26"/><row><cell><emph type="italics"/>Cubus numerus. duo cubi cubus, quid &longs;ignificet.<emph.end type="italics"/></cell><cell>33</cell></row><row><cell><emph type="italics"/>Curru problema.<emph.end type="italics"/></cell><cell>252</cell></row><row><cell><emph type="italics"/>Cunei problema.<emph.end type="italics"/></cell><cell>256</cell></row><row><cell><emph type="italics"/>Cylindri, &amp; coni motus comparatio problematica.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Definitiones mathematic&aelig; e&longs;&longs;e e&longs;&longs;entiales, &amp; perfe&longs;&longs;imas. cap. 1. de nat. Math.   definitionum v&longs;us in Mathematicis.<emph.end type="italics"/></cell><cell>81</cell></row><row><cell><emph type="italics"/>De&longs;criptio, &amp; de&longs;cribere, quid.<emph.end type="italics"/> 2. 6. 7.</cell><cell>205</cell></row><row><cell><emph type="italics"/>De&longs;ignatio pro demon&longs;tratione mathematica.<emph.end type="italics"/></cell><cell>305</cell></row><row><cell><emph type="italics"/>Demon&longs;trationis perfect&aelig; exemplum. 36. demon&longs;trationum mathematicarum pr&aelig;-&longs;tantia. cap. 4. de nat. Mathem.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Dentiforcipis problema.<emph.end type="italics"/></cell><cell>260</cell></row><row><cell><emph type="italics"/>Denarij numeri perfectio. 339. cur <expan abbr="v&longs;q;">v&longs;que</expan> ad denari&ubreve; omnes <expan abbr="g&etilde;tes">gentes</expan> <expan abbr="numer&etilde;t">numerent</expan>.<emph.end type="italics"/></cell><cell>339. 8. <emph type="italics"/>&amp;c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Diameter incommen&longs;urabilis cost&aelig;. 5. diametri etymon.<emph.end type="italics"/></cell><cell>337</cell></row><row><cell><emph type="italics"/>Diapa&longs;on quid. 90. 350. omnium con&longs;onantiarum pulcberrima.<emph.end type="italics"/></cell><cell>388</cell></row><row><cell><emph type="italics"/>Diapa&longs;on diapente.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Diapente con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Diate&longs;&longs;aron con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Di&longs;d apa&longs;on con&longs;onantia, qu&aelig;.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Die&longs;is, quid.<emph.end type="italics"/> 53.</cell><cell>226</cell></row><row><cell><emph type="italics"/>Dolia duo, quomodo aliquando Diapa&longs;on re&longs;onent.<emph.end type="italics"/></cell><cell>402</cell></row><row><cell><emph type="italics"/>Duplum inter multiplicia primum e&longs;t.<emph.end type="italics"/></cell><cell>322</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa mundi non componi ex figuris geometricis.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Elementa geometrica, qu&aelig;.<emph.end type="italics"/> 82.</cell><cell>213</cell></row><row><cell><emph type="italics"/>Eudoxi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell><cell>234</cell></row><row><cell><emph type="italics"/>Exempla mathematicorum, qualia. 11. non e&longs;&longs;e fal&longs;a.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>Exemplorum veritas, &amp; conformitas, quatenus requirantur.<emph.end type="italics"/></cell><cell>36</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Figuram omnem planam habere &longs;uos angulos externos <expan abbr="quotc&ubreve;q;">quotc&ubreve;que</expan> &aelig;quales quatuor   rectis angulis, qu&aelig; e&longs;t mira proprietas.<emph.end type="italics"/></cell><cell>59</cell></row><row><cell><emph type="italics"/>Figur&aelig; &longs;imiles, qu&aelig;.<emph.end type="italics"/></cell><cell>70</cell></row><row><cell><emph type="italics"/>Figurarum planarum ordo 88. qu&aelig; nam totum locum repleant.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Figurarum &longs;olidarum, qu&aelig;nam totum locum repleant: vbi Ari&longs;t. &amp; omnium expo&longs;i-torum rratum aperitur.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Figuratio lucis.<emph.end type="italics"/></cell><cell>345</cell></row><row><cell><emph type="italics"/>Figurationes pro demonftrationibus Mathem.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Filum Araneorum, ex qua parte corporis exeat, &amp; ex qua materia.<emph.end type="italics"/></cell><cell>293</cell></row><row><cell><emph type="italics"/>Fluxus, ac refluxus maris.<emph.end type="italics"/></cell><cell>272</cell></row><row><cell><emph type="italics"/>Funium lectorum problema.<emph.end type="italics"/></cell><cell>264</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Galaxia quid. 131. Ari&longs;toteles defen&longs;us.<emph.end type="italics"/> 132.</cell><cell>140</cell></row><row><cell><emph type="italics"/>Galibei recens ob&longs;eruatio.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Generatria Mu&longs;ic&aelig; veteris. 78. Fus&egrave; explicantur.<emph.end type="italics"/></cell><cell>371</cell></row><row><cell><emph type="italics"/>Geod&aelig;&longs;ia.<emph.end type="italics"/></cell><cell>207</cell></row><row><cell><emph type="italics"/>Geographi&aelig; veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell><cell>149</cell></row><pb pagenum="27"/><row><cell><emph type="italics"/>Gnomon, quid. 3. &amp;<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>Gnomones numeri.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Graue qua ratione ad centrum mundi de&longs;cenderet, eiqu&eacute; aptaretur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Grauiden&longs;um, quid.<emph.end type="italics"/></cell><cell>399</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Halonis demonfiratio.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>Hippocratis chij quadratura circuli. 17. <expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> quadratura lunul&aelig; optima.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Hyades, Atlantides, &amp; Succul&aelig;.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>Hypate, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Hypotenu&longs;a in ince&longs;&longs;u animalium.<emph.end type="italics"/></cell><cell>294</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Illuminationes Solis deficientis per foramina tran&longs;euntes, eur &longs;int defectiu&aelig;.<emph.end type="italics"/></cell><cell>350</cell></row><row><cell><emph type="italics"/>modus videndi eclyp&longs;im facilis, ac iucundus.<emph.end type="italics"/></cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Ince&longs;&longs;us animalium lineis explicatur.<emph.end type="italics"/></cell><cell>294. <emph type="italics"/>&amp; <expan abbr="&longs;eqq.">&longs;eqque</expan><emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Incommen&longs;urabilia, qu&aelig;, &amp; eorum inuentores.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Indiui&longs;ibilia mathematica e&longs;&longs;e priuationes. 189. oriri ex diui&longs;ione. 231. eorum duo   genera.<emph.end type="italics"/></cell><cell>276</cell></row><row><cell><emph type="italics"/>Infinito, qua ratione vtantur Mathematici.<emph.end type="italics"/> 94.</cell><cell>96</cell></row><row><cell><emph type="italics"/>Iridis demon&longs;tratio &longs;ecundum Ari&longs;t. 163. &amp; &longs;equentibus. Item noua de Iride tra-ctatio. ibidem in additione.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iugum in lyra quid, &amp; eius figura.<emph.end type="italics"/></cell><cell>396</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Leges mu&longs;icales.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Libra maior, cur exactior. initio Mechanicarum qu&aelig;&longs;t.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Linea, qu&aelig; terminus est illuminationis in Luna, cur modo recta, modo curua vi-deatur.<emph.end type="italics"/></cell><cell>346</cell></row><row><cell><emph type="italics"/>Line&aelig; rationales, &amp; irrationales, &amp;c.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Lumen oculorum noctu videntium, in qua oculi parte manet. in addit. de Pupilla.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lumen Solis, cur &longs;it circulare, quamuis per foramina angulo&longs;a ingrediatur.<emph.end type="italics"/></cell><cell>345</cell></row><row><cell><emph type="italics"/>Luna plana, cur appareat, cum &longs;it &longs;ph&aelig;rica. 347. cur in eadem altitudine cum Sole   &longs;upra horizontem, maiorem vmbram efficiat.<emph.end type="italics"/></cell><cell>349</cell></row><row><cell><emph type="italics"/>Lunam e&longs;&longs;e &longs;ph&aelig;ricam. 48. illuminari &longs;ph&aelig;ric&egrave; quid: ibidem &amp; de illuminatione Lu-n&aelig;. iterum e&longs;&longs;e &longs;ph&aelig;ricam ab eclyp&longs;ibus.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Luminarium Solis, &amp; Lun&aelig; ordo.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Lychanos, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Lyr&aelig; veteris figura.<emph.end type="italics"/></cell><cell>396</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Magalis, &longs;eu magas, &amp; magadi&longs;&longs;are.<emph.end type="italics"/> 373.</cell><cell>393</cell></row><row><cell><emph type="italics"/>Materia intelligibilis. fus&egrave; ver&ograve;. explicatur in tract. de nat. Mathem.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mathematic&aelig; medi&aelig;, &longs;eu &longs;ubalternat&aelig; habent propter quid &longs;uarum demon&longs;iratio-nem.<emph.end type="italics"/></cell><cell>50</cell></row><row><cell><emph type="italics"/>Mathematici negant reperiri quantitatem indiui&longs;ibilem, &longs;eu minimam.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Mathematic&aelig; non &longs;unt contentio&longs;&aelig;. 83. ostendunt per cau&longs;am formalcm.<emph.end type="italics"/></cell><cell>91</cell></row><row><cell><emph type="italics"/>Mathematicas inuenerunt Aegyptij Sacerdotes.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Mathematic&aelig; o&longs;tendunt per cau&longs;am materialem, &amp; formalem. 205. earum vtilitas.   ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell><cell/></row>
 1876 <pb pagenum="28"/><row><cell><emph type="italics"/>Mathematic&aelig; maxim&egrave; tractant de Bono, &amp; Pulcro, qua ratione.<emph.end type="italics"/></cell><cell>237</cell></row><row><cell><emph type="italics"/>Mechanica facultas, qu&aelig;.<emph.end type="italics"/></cell><cell>238</cell></row><row><cell><emph type="italics"/>Melodia.<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>Melopeia quid.<emph.end type="italics"/></cell><cell>384</cell></row><row><cell><emph type="italics"/>Medium Demonstrationum Mathem. in earum tractatu.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Me&longs;e quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Mina in men&longs;uris quid.<emph.end type="italics"/></cell><cell>53</cell></row><row><cell><emph type="italics"/>Monochordium.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Motus nauigij, &amp; remi comparatio. 247. Pulchra P. Nonij in id annotatio con-tra Ari&longs;t.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Modi mu&longs;ici.<emph.end type="italics"/></cell><cell>383</cell></row><row><cell><emph type="italics"/>Modorum antiquorum ordo, numerus, &amp;c.<emph.end type="italics"/></cell><cell>383</cell></row><row><cell><emph type="italics"/>Motus primi mobilis, &longs;eu diurnus e&longs;t men&longs;ura c&oelig;lestium motuum.<emph.end type="italics"/></cell><cell>225</cell></row><row><cell><emph type="italics"/>Mu&longs;ici recentiores reprehen&longs;i. 331. &amp; in fine Chronologi&aelig;.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mu&longs;ic&aelig; totius elementa.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Mu&longs;ica nuda, &amp; cum melodia.<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Nete quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Nucifragi in&longs;trumenti problema.<emph.end type="italics"/></cell><cell>261</cell></row><row><cell><emph type="italics"/>Numerus, par, impar, primus, &amp; compo&longs;itus, quadratus, &longs;eu &aelig;quilaterus, altera   parte longior. 24. Cubus num.<emph.end type="italics"/></cell><cell>33</cell></row><row><cell><emph type="italics"/>Numeri capitales, qui.<emph.end type="italics"/></cell><cell>82</cell></row><row><cell><emph type="italics"/>Numerum parem e&longs;&longs;e cau&longs;am infiniti: imparem ver&ograve; finiti.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Numerorum parium alij &longs;unt primi, alij non.<emph.end type="italics"/></cell><cell>224</cell></row><row><cell><emph type="italics"/>Numerus vnitarius.<emph.end type="italics"/></cell><cell>307</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Oculi cur moueantur con&longs;imiliter.<emph.end type="italics"/></cell><cell>405</cell></row><row><cell><emph type="italics"/>Oculi anathome.<emph.end type="italics"/></cell><cell>408. <emph type="italics"/>&amp;c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Omophon&aelig; voces.<emph.end type="italics"/> 372.</cell><cell>392</cell></row><row><cell><emph type="italics"/>Oppo&longs;itio diametralis e&longs;t omnium maxima.<emph.end type="italics"/></cell><cell>327</cell></row><row><cell><emph type="italics"/>Ortus, &amp; occa&longs;us &longs;yderum, quid, &amp; quotuplex: vbide Orione, &amp; Canicula.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Paranete qu&aelig; voces, aut chord&aelig;.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Parame&longs;e<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Parhypate<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Parelia, cur appareant nondum &longs;atis explicari.<emph.end type="italics"/></cell><cell>182</cell></row><row><cell><emph type="italics"/>Parna&longs;&longs;us mons, vbinam &longs;it. Item paropame&longs;&longs;us.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Partes quantitatis &longs;unt materia illius.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Per&longs;pectiuus, quatenus con&longs;ideret lineam.<emph.end type="italics"/></cell><cell>89</cell></row><row><cell><emph type="italics"/>Pa&longs;&longs;iones Mathematicorum cum &longs;ubiecto conuertuntur.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Pila chri&longs;tallina, vel vitrea, qua ratione comburat.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Planet&aelig;, qua ratione moueantur duplici motu.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Plato &longs;olida ex planis componebat. 105. cur Elementis figuras Geometricas attri-bueret.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Planetarum ordo.<emph.end type="italics"/></cell><cell>271</cell></row><row><cell><emph type="italics"/>Principia Mathematicorum.<emph.end type="italics"/> 2.</cell><cell>118</cell></row><pb pagenum="29"/><row><cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, &amp; circa quod.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></cell><cell>315</cell></row><row><cell><emph type="italics"/>Proportio alterna. 28. multiplicata, &longs;eu multiplex &longs;ecundum C&aelig;neum.<emph.end type="italics"/></cell><cell>46</cell></row><row><cell><emph type="italics"/>P&longs;eudographia quid.<emph.end type="italics"/></cell><cell>83</cell></row><row><cell><emph type="italics"/>Proportionalitas quid.<emph.end type="italics"/></cell><cell>308</cell></row><row><cell><emph type="italics"/>Proportio continuata, &amp; di&longs;iuncta quid. 310. alterna, &longs;eu permutata quid.<emph.end type="italics"/></cell><cell><emph type="italics"/>inibi.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Proportio Geometrica. 311. Arithmetica.<emph.end type="italics"/></cell><cell>302</cell></row><row><cell><emph type="italics"/>Proportio &longs;ecundum dignitatem, e&longs;t Geometrica.<emph.end type="italics"/></cell><cell>330</cell></row><row><cell><emph type="italics"/>Problemata mu&longs;icalia varia &agrave; 360. <expan abbr="v&longs;q;">v&longs;que</expan> ad finem &longs;ectionis 19. problematum.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Punicum, mu&longs;icum in&longs;trumentum.<emph.end type="italics"/></cell><cell>370</cell></row><row><cell><emph type="italics"/>Pupill&aelig; oculi etymon., &amp; natura. 408. cur in oculo no&longs;tro imago pupill&aelig; appareat.   problem.<emph.end type="italics"/> 2.</cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Cur nigra in omnibus hominibus. probl.<emph.end type="italics"/> 5.</cell><cell/></row><row><cell><emph type="italics"/>Cur in Sole euane&longs;cat. probl.<emph.end type="italics"/> 6.</cell><cell/></row><row><cell><emph type="italics"/>Cur modo maior, modo minor appareat.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Pythagorici primi Mathematicis <expan abbr="oper&atilde;">operam</expan> dedere, eas&queacute; ceteris &longs;cientijs pr&aelig;poneb&abreve;t.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvadratura circuli. vide circulus. de quadratura figurarum rectangularum, &amp;   quadratur&aelig; duplex definitio cau&longs;alis, &amp; formalis.<emph.end type="italics"/></cell><cell>185</cell></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/></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Remi problema.<emph.end type="italics"/></cell><cell>245</cell></row><row><cell><emph type="italics"/>Re&longs;olutio logica, &amp; mathematica, vt conueniant. 4. &amp;<emph.end type="italics"/></cell><cell>305</cell></row><row><cell><emph type="italics"/>Re&longs;ultus cadentium in terram, quibus angulis fiat.<emph.end type="italics"/></cell><cell>354</cell></row><row><cell><emph type="italics"/>Rythmus fus&egrave; explicatur.<emph.end type="italics"/></cell><cell>381</cell></row><row><cell><emph type="italics"/>Rubrum mare duplex.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Scythala quid, &amp; eius figura 250. &amp;<emph.end type="italics"/></cell><cell>252</cell></row><row><cell><emph type="italics"/>Securis problema, vbi de antiqu&aelig; &longs;euris figura, &amp; angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell><cell>258</cell></row><row><cell><emph type="italics"/>Semitonium, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Solem e&longs;&longs;e terra multo maiorem: probatur.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Sph&aelig;ram planum tangit in puncto. demon&longs;tratur.<emph.end type="italics"/></cell><cell>184</cell></row><row><cell><emph type="italics"/>Statera antiqua, qu&aelig;: eius figura, &amp; problema.<emph.end type="italics"/></cell><cell>259</cell></row><row><cell><emph type="italics"/>Stereomatria, vt differat &agrave; Geometria.<emph.end type="italics"/></cell><cell>49</cell></row><row><cell><emph type="italics"/>Succula.<emph.end type="italics"/></cell><cell>253</cell></row><row><cell><emph type="italics"/>Symphon&aelig; voces.<emph.end type="italics"/> 372.</cell><cell>392</cell></row><row><cell><emph type="italics"/>Symphonia.<emph.end type="italics"/></cell><cell>391</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Temonis nauis problema.<emph.end type="italics"/></cell><cell>246</cell></row><row><cell><emph type="italics"/>Terram e&longs;&longs;e rotundam ex eclyp&longs;i. 114. Item aliter. 115. e&longs;&longs;e re&longs;pectu C&oelig;li   paruam valde. 115. e&longs;&longs;e cubum cur Plato voluerit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Terr&aelig; quantitas.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Terram paulatim reduci ad peff&eacute;ctam rotunditatem.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Tetragoni&longs;mus. vide Quadratura.<emph.end type="italics"/></cell><cell/></row><pb pagenum="30"/><row><cell><emph type="italics"/>Teretizare, quid.<emph.end type="italics"/></cell><cell>366</cell></row><row><cell><emph type="italics"/>Tetrachordon, quid.<emph.end type="italics"/></cell><cell>386</cell></row><row><cell><emph type="italics"/>Tollenonis problema.<emph.end type="italics"/></cell><cell>267</cell></row><row><cell><emph type="italics"/>Tonus mu&longs;icus, qui; vnde oriatur.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Trochle&aelig; problemata.<emph.end type="italics"/> 249. 250.</cell><cell>251</cell></row><row><cell><emph type="italics"/>Tunic&aelig; oculi. 408. in tractatu de Pupilla.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ventorum nomina, &amp; &longs;itus.<emph.end type="italics"/></cell><cell>160. <emph type="italics"/>a.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Vectis quotuplex, &amp; c.<emph.end type="italics"/></cell><cell>244</cell></row><row><cell><emph type="italics"/>Veteres canere &longs;olitos non &longs;olum in choris, &longs;ed etiam in &longs;cenis.<emph.end type="italics"/> 371. 384.</cell><cell>400</cell></row><row><cell><emph type="italics"/>Virgili&aelig;, Pleiades.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>Vi&longs;&aelig; res gemmantur di&longs;tractis oculis.<emph.end type="italics"/></cell><cell>406</cell></row><row><cell><emph type="italics"/>Vi&longs;&aelig; rei geminatio non fit altero oculo in latera torto, cur.<emph.end type="italics"/></cell><cell>407</cell></row><row><cell><emph type="italics"/>Vi&longs;us res vi&longs;as, cur non duplicet, etiam &longs;i duos oculos habeamus.<emph.end type="italics"/></cell><cell>405</cell></row><row><cell><emph type="italics"/>Vmbelici litoralis problema.<emph.end type="italics"/></cell><cell>254</cell></row><row><cell><emph type="italics"/>Vmbram terr&aelig; parum &longs;upra Lunam tran&longs;cendere.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Vmbrarum incrementa, &amp; decrementa, cur in&aelig;qualia.<emph.end type="italics"/> 344.</cell><cell>348</cell></row><row><cell><emph type="italics"/>Vi&longs;us res geminat, &longs;i alter oculorum digito pellatur, cur.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Vocum mu&longs;icalium antiqu&aelig; appellationes.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Vox acuta velocior, grauis ver&ograve; tarda, cur.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Voluminum &longs;ectio modo rectam lineam, modo curuam refert, cur.<emph.end type="italics"/></cell><cell>356</cell></row><row><cell><emph type="italics"/>Vnitas, cur indiui&longs;ibilis.<emph.end type="italics"/></cell><cell>22</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Zonas terr&aelig;, vt Arist. de&longs;ignet: &amp; qu&aelig; &longs;ecundum ip&longs;um &longs;int habitabiles.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Zonam torridam quatuor reddunt habitabilem.<emph.end type="italics"/></cell><cell>159</cell></row></table><p type="head"> <pb pagenum="28"/><row><cell><emph type="italics"/>Mathematic&aelig; maxim&egrave; tractant de Bono, &amp; Pulcro, qua ratione.<emph.end type="italics"/></cell><cell>237</cell></row><row><cell><emph type="italics"/>Mechanica facultas, qu&aelig;.<emph.end type="italics"/></cell><cell>238</cell></row><row><cell><emph type="italics"/>Melodia.<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>Melopeia quid.<emph.end type="italics"/></cell><cell>384</cell></row><row><cell><emph type="italics"/>Medium Demonstrationum Mathem. in earum tractatu.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Me&longs;e quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Mina in men&longs;uris quid.<emph.end type="italics"/></cell><cell>53</cell></row><row><cell><emph type="italics"/>Monochordium.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Motus nauigij, &amp; remi comparatio. 247. Pulchra P. Nonij in id annotatio con-tra Ari&longs;t.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Modi mu&longs;ici.<emph.end type="italics"/></cell><cell>383</cell></row><row><cell><emph type="italics"/>Modorum antiquorum ordo, numerus, &amp;c.<emph.end type="italics"/></cell><cell>383</cell></row><row><cell><emph type="italics"/>Motus primi mobilis, &longs;eu diurnus e&longs;t men&longs;ura c&oelig;lestium motuum.<emph.end type="italics"/></cell><cell>225</cell></row><row><cell><emph type="italics"/>Mu&longs;ici recentiores reprehen&longs;i. 331. &amp; in fine Chronologi&aelig;.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mu&longs;ic&aelig; totius elementa.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Mu&longs;ica nuda, &amp; cum melodia.<emph.end type="italics"/></cell><cell>331</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Nete quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Nucifragi in&longs;trumenti problema.<emph.end type="italics"/></cell><cell>261</cell></row><row><cell><emph type="italics"/>Numerus, par, impar, primus, &amp; compo&longs;itus, quadratus, &longs;eu &aelig;quilaterus, altera   parte longior. 24. Cubus num.<emph.end type="italics"/></cell><cell>33</cell></row><row><cell><emph type="italics"/>Numeri capitales, qui.<emph.end type="italics"/></cell><cell>82</cell></row><row><cell><emph type="italics"/>Numerum parem e&longs;&longs;e cau&longs;am infiniti: imparem ver&ograve; finiti.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Numerorum parium alij &longs;unt primi, alij non.<emph.end type="italics"/></cell><cell>224</cell></row><row><cell><emph type="italics"/>Numerus vnitarius.<emph.end type="italics"/></cell><cell>307</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Oculi cur moueantur con&longs;imiliter.<emph.end type="italics"/></cell><cell>405</cell></row><row><cell><emph type="italics"/>Oculi anathome.<emph.end type="italics"/></cell><cell>408. <emph type="italics"/>&amp;c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Omophon&aelig; voces.<emph.end type="italics"/> 372.</cell><cell>392</cell></row><row><cell><emph type="italics"/>Oppo&longs;itio diametralis e&longs;t omnium maxima.<emph.end type="italics"/></cell><cell>327</cell></row><row><cell><emph type="italics"/>Ortus, &amp; occa&longs;us &longs;yderum, quid, &amp; quotuplex: vbide Orione, &amp; Canicula.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Paranete qu&aelig; voces, aut chord&aelig;.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Parame&longs;e<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Parhypate<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Parelia, cur appareant nondum &longs;atis explicari.<emph.end type="italics"/></cell><cell>182</cell></row><row><cell><emph type="italics"/>Parna&longs;&longs;us mons, vbinam &longs;it. Item paropame&longs;&longs;us.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Partes quantitatis &longs;unt materia illius.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Per&longs;pectiuus, quatenus con&longs;ideret lineam.<emph.end type="italics"/></cell><cell>89</cell></row><row><cell><emph type="italics"/>Pa&longs;&longs;iones Mathematicorum cum &longs;ubiecto conuertuntur.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Pila chri&longs;tallina, vel vitrea, qua ratione comburat.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Planet&aelig;, qua ratione moueantur duplici motu.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Plato &longs;olida ex planis componebat. 105. cur Elementis figuras Geometricas attri-bueret.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Planetarum ordo.<emph.end type="italics"/></cell><cell>271</cell></row><row><cell><emph type="italics"/>Principia Mathematicorum.<emph.end type="italics"/> 2.</cell><cell>118</cell></row><pb pagenum="29"/><row><cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, &amp; circa quod.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></cell><cell>315</cell></row><row><cell><emph type="italics"/>Proportio alterna. 28. multiplicata, &longs;eu multiplex &longs;ecundum C&aelig;neum.<emph.end type="italics"/></cell><cell>46</cell></row><row><cell><emph type="italics"/>P&longs;eudographia quid.<emph.end type="italics"/></cell><cell>83</cell></row><row><cell><emph type="italics"/>Proportionalitas quid.<emph.end type="italics"/></cell><cell>308</cell></row><row><cell><emph type="italics"/>Proportio continuata, &amp; di&longs;iuncta quid. 310. alterna, &longs;eu permutata quid.<emph.end type="italics"/></cell><cell><emph type="italics"/>inibi.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Proportio Geometrica. 311. Arithmetica.<emph.end type="italics"/></cell><cell>302</cell></row><row><cell><emph type="italics"/>Proportio &longs;ecundum dignitatem, e&longs;t Geometrica.<emph.end type="italics"/></cell><cell>330</cell></row><row><cell><emph type="italics"/>Problemata mu&longs;icalia varia &agrave; 360. <expan abbr="v&longs;q;">v&longs;que</expan> ad finem &longs;ectionis 19. problematum.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Punicum, mu&longs;icum in&longs;trumentum.<emph.end type="italics"/></cell><cell>370</cell></row><row><cell><emph type="italics"/>Pupill&aelig; oculi etymon., &amp; natura. 408. cur in oculo no&longs;tro imago pupill&aelig; appareat.   problem.<emph.end type="italics"/> 2.</cell><cell><emph type="italics"/>ibidem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Cur nigra in omnibus hominibus. probl.<emph.end type="italics"/> 5.</cell><cell/></row><row><cell><emph type="italics"/>Cur in Sole euane&longs;cat. probl.<emph.end type="italics"/> 6.</cell><cell/></row><row><cell><emph type="italics"/>Cur modo maior, modo minor appareat.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Pythagorici primi Mathematicis <expan abbr="oper&atilde;">operam</expan> dedere, eas&queacute; ceteris &longs;cientijs pr&aelig;poneb&abreve;t.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvadratura circuli. vide circulus. de quadratura figurarum rectangularum, &amp;   quadratur&aelig; duplex definitio cau&longs;alis, &amp; formalis.<emph.end type="italics"/></cell><cell>185</cell></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/></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Remi problema.<emph.end type="italics"/></cell><cell>245</cell></row><row><cell><emph type="italics"/>Re&longs;olutio logica, &amp; mathematica, vt conueniant. 4. &amp;<emph.end type="italics"/></cell><cell>305</cell></row><row><cell><emph type="italics"/>Re&longs;ultus cadentium in terram, quibus angulis fiat.<emph.end type="italics"/></cell><cell>354</cell></row><row><cell><emph type="italics"/>Rythmus fus&egrave; explicatur.<emph.end type="italics"/></cell><cell>381</cell></row><row><cell><emph type="italics"/>Rubrum mare duplex.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Scythala quid, &amp; eius figura 250. &amp;<emph.end type="italics"/></cell><cell>252</cell></row><row><cell><emph type="italics"/>Securis problema, vbi de antiqu&aelig; &longs;euris figura, &amp; angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell><cell>258</cell></row><row><cell><emph type="italics"/>Semitonium, quid.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Solem e&longs;&longs;e terra multo maiorem: probatur.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Sph&aelig;ram planum tangit in puncto. demon&longs;tratur.<emph.end type="italics"/></cell><cell>184</cell></row><row><cell><emph type="italics"/>Statera antiqua, qu&aelig;: eius figura, &amp; problema.<emph.end type="italics"/></cell><cell>259</cell></row><row><cell><emph type="italics"/>Stereomatria, vt differat &agrave; Geometria.<emph.end type="italics"/></cell><cell>49</cell></row><row><cell><emph type="italics"/>Succula.<emph.end type="italics"/></cell><cell>253</cell></row><row><cell><emph type="italics"/>Symphon&aelig; voces.<emph.end type="italics"/> 372.</cell><cell>392</cell></row><row><cell><emph type="italics"/>Symphonia.<emph.end type="italics"/></cell><cell>391</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Temonis nauis problema.<emph.end type="italics"/></cell><cell>246</cell></row><row><cell><emph type="italics"/>Terram e&longs;&longs;e rotundam ex eclyp&longs;i. 114. Item aliter. 115. e&longs;&longs;e re&longs;pectu C&oelig;li   paruam valde. 115. e&longs;&longs;e cubum cur Plato voluerit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Terr&aelig; quantitas.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Terram paulatim reduci ad peff&eacute;ctam rotunditatem.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Tetragoni&longs;mus. vide Quadratura.<emph.end type="italics"/></cell><cell/></row><pb pagenum="30"/><row><cell><emph type="italics"/>Teretizare, quid.<emph.end type="italics"/></cell><cell>366</cell></row><row><cell><emph type="italics"/>Tetrachordon, quid.<emph.end type="italics"/></cell><cell>386</cell></row><row><cell><emph type="italics"/>Tollenonis problema.<emph.end type="italics"/></cell><cell>267</cell></row><row><cell><emph type="italics"/>Tonus mu&longs;icus, qui; vnde oriatur.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Trochle&aelig; problemata.<emph.end type="italics"/> 249. 250.</cell><cell>251</cell></row><row><cell><emph type="italics"/>Tunic&aelig; oculi. 408. in tractatu de Pupilla.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ventorum nomina, &amp; &longs;itus.<emph.end type="italics"/></cell><cell>160. <emph type="italics"/>a.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Vectis quotuplex, &amp; c.<emph.end type="italics"/></cell><cell>244</cell></row><row><cell><emph type="italics"/>Veteres canere &longs;olitos non &longs;olum in choris, &longs;ed etiam in &longs;cenis.<emph.end type="italics"/> 371. 384.</cell><cell>400</cell></row><row><cell><emph type="italics"/>Virgili&aelig;, Pleiades.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>Vi&longs;&aelig; res gemmantur di&longs;tractis oculis.<emph.end type="italics"/></cell><cell>406</cell></row><row><cell><emph type="italics"/>Vi&longs;&aelig; rei geminatio non fit altero oculo in latera torto, cur.<emph.end type="italics"/></cell><cell>407</cell></row><row><cell><emph type="italics"/>Vi&longs;us res vi&longs;as, cur non duplicet, etiam &longs;i duos oculos habeamus.<emph.end type="italics"/></cell><cell>405</cell></row><row><cell><emph type="italics"/>Vmbelici litoralis problema.<emph.end type="italics"/></cell><cell>254</cell></row><row><cell><emph type="italics"/>Vmbram terr&aelig; parum &longs;upra Lunam tran&longs;cendere.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Vmbrarum incrementa, &amp; decrementa, cur in&aelig;qualia.<emph.end type="italics"/> 344.</cell><cell>348</cell></row><row><cell><emph type="italics"/>Vi&longs;us res geminat, &longs;i alter oculorum digito pellatur, cur.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Vocum mu&longs;icalium antiqu&aelig; appellationes.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Vox acuta velocior, grauis ver&ograve; tarda, cur.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Voluminum &longs;ectio modo rectam lineam, modo curuam refert, cur.<emph.end type="italics"/></cell><cell>356</cell></row><row><cell><emph type="italics"/>Vnitas, cur indiui&longs;ibilis.<emph.end type="italics"/></cell><cell>22</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Zonas terr&aelig;, vt Arist. de&longs;ignet: &amp; qu&aelig; &longs;ecundum ip&longs;um &longs;int habitabiles.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Zonam torridam quatuor reddunt habitabilem.<emph.end type="italics"/></cell><cell>159</cell></row></table><p type="head"><s>Finis Tertij Indicis.</s></p><pb pagenum="31"/>
 1877        </section><section><p type="main">
 1878 <s>Finis Tertij Indicis.</s></p><pb pagenum="31"/> 
 1879       </section><section><p type="main"> <s>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&shy;<lb/>thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&ecedil;&longs;ertim Peripa&shy;<lb/>tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre <lb/>po&longs;&longs;int.<lb/><arrow.to.target n="table3"/></s></p><table><table.target id="table3"/><row><cell><emph type="italics"/>121<emph.end type="italics"/></cell><cell><emph type="italics"/>Nvmero marginali: vbi ait plura Octaedra, &longs;eu Pyramides re-plere locum: in quo omnes pariter expo&longs;itores lap&longs;i &longs;unt.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>124<emph.end type="italics"/></cell><cell><emph type="italics"/>Latitudinem figura, ait, cau&longs;am e&longs;&longs;e &longs;upernatationis. &amp; aquam   re&longs;i&longs;tere &longs;impliciter diui&longs;ioni.<emph.end type="italics"/></cell></row><row><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></row><row><cell><emph type="italics"/>147<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Tanaim, &amp; Indum oriri ex monte Paropami&longs;&longs;o. &amp; c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>148<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait, tertia parte noctis Cauca&longs;i verticem illuminari &agrave; Sole.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>149<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Danubium ex Pyreneo monte defluere.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>150<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait fluuium quendam non minorem Rhodano in Liguria ab&longs;orberi,   &amp; iterum egredi.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>152<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Rubrum mare parum Atlantico Oceano commi&longs;ceri.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>159<emph.end type="italics"/></cell><cell><emph type="italics"/>Zonam torridam inhabit abilem exi&longs;timat.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>164<emph.end type="italics"/></cell><cell><emph type="italics"/>Putat Iridis angulos non po&longs;&longs;e vnum &longs;upra alterum collocari, &longs;ed   tantummodo in orbem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>182<emph.end type="italics"/></cell><cell><emph type="italics"/>Rationes, quas in Parelij dubitationibus affert, videntur inanes.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>236<emph.end type="italics"/></cell><cell><emph type="italics"/>In &longs;ubducendo c&oelig;le&longs;tium orbium numero, memoria labitur.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>243<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait lineam O L, &longs;uperare lineam L R, quantitate P L, vt in figura.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>245<emph.end type="italics"/></cell><cell><emph type="italics"/>Remum ad vectem primi generis reducit.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>246<emph.end type="italics"/></cell><cell><emph type="italics"/>Temonem nauis reducit ad vectem primi generis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>247<emph.end type="italics"/></cell><cell><emph type="italics"/>In motu Remi collato cum motu Nauigij, &agrave; Nonio erroris manifest&egrave;   arguitur. eodem modo in motu Temonis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>250<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait maioribus trochleis, aut rotulis facilius onera &longs;ubleuari.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>256<emph.end type="italics"/></cell><cell><emph type="italics"/>Reducit cuneum ad vectem primi generis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>270<emph.end type="italics"/></cell><cell><emph type="italics"/>Cur res in vorticibus ad medium ferantur, veram cau&longs;am a&longs;signa-re non videtur.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>275<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Danubium altero ramo in Mediterraneum, altero in Pontum   effluere.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>293<emph.end type="italics"/></cell><cell><emph type="italics"/>Negat Araneum filum ab intrin&longs;eco emittere, Democritum iniuria   refellens. quamuis hoc vltimum ad Phy&longs;icum pertineat.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>403<emph.end type="italics"/></cell><cell><emph type="italics"/>Problem. 2. &longs;ect. 2 3. non ben&egrave; videtur a&longs;signare cau&longs;am vari&aelig; im-mer&longs;ionis nauigij.<emph.end type="italics"/></cell></row></table></section><pb/><!--blank page --><pb pagenum="33"/>
 1880  
 1881 <s>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&shy;<lb/>thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&ecedil;&longs;ertim Peripa&shy;<lb/>tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre <lb/>po&longs;&longs;int.<lb/><arrow.to.target n="table3"/></s></p><table><table.target id="table3"/><row><cell><emph type="italics"/>121<emph.end type="italics"/></cell><cell><emph type="italics"/>Nvmero marginali: vbi ait plura Octaedra, &longs;eu Pyramides re-plere locum: in quo omnes pariter expo&longs;itores lap&longs;i &longs;unt.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>124<emph.end type="italics"/></cell><cell><emph type="italics"/>Latitudinem figura, ait, cau&longs;am e&longs;&longs;e &longs;upernatationis. &amp; aquam   re&longs;i&longs;tere &longs;impliciter diui&longs;ioni.<emph.end type="italics"/></cell></row><row><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></row><row><cell><emph type="italics"/>147<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Tanaim, &amp; Indum oriri ex monte Paropami&longs;&longs;o. &amp; c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>148<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait, tertia parte noctis Cauca&longs;i verticem illuminari &agrave; Sole.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>149<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Danubium ex Pyreneo monte defluere.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>150<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait fluuium quendam non minorem Rhodano in Liguria ab&longs;orberi,   &amp; iterum egredi.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>152<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Rubrum mare parum Atlantico Oceano commi&longs;ceri.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>159<emph.end type="italics"/></cell><cell><emph type="italics"/>Zonam torridam inhabit abilem exi&longs;timat.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>164<emph.end type="italics"/></cell><cell><emph type="italics"/>Putat Iridis angulos non po&longs;&longs;e vnum &longs;upra alterum collocari, &longs;ed   tantummodo in orbem.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>182<emph.end type="italics"/></cell><cell><emph type="italics"/>Rationes, quas in Parelij dubitationibus affert, videntur inanes.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>236<emph.end type="italics"/></cell><cell><emph type="italics"/>In &longs;ubducendo c&oelig;le&longs;tium orbium numero, memoria labitur.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>243<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait lineam O L, &longs;uperare lineam L R, quantitate P L, vt in figura.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>245<emph.end type="italics"/></cell><cell><emph type="italics"/>Remum ad vectem primi generis reducit.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>246<emph.end type="italics"/></cell><cell><emph type="italics"/>Temonem nauis reducit ad vectem primi generis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>247<emph.end type="italics"/></cell><cell><emph type="italics"/>In motu Remi collato cum motu Nauigij, &agrave; Nonio erroris manifest&egrave;   arguitur. eodem modo in motu Temonis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>250<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait maioribus trochleis, aut rotulis facilius onera &longs;ubleuari.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>256<emph.end type="italics"/></cell><cell><emph type="italics"/>Reducit cuneum ad vectem primi generis.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>270<emph.end type="italics"/></cell><cell><emph type="italics"/>Cur res in vorticibus ad medium ferantur, veram cau&longs;am a&longs;signa-re non videtur.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>275<emph.end type="italics"/></cell><cell><emph type="italics"/>Ait Danubium altero ramo in Mediterraneum, altero in Pontum   effluere.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>293<emph.end type="italics"/></cell><cell><emph type="italics"/>Negat Araneum filum ab intrin&longs;eco emittere, Democritum iniuria   refellens. quamuis hoc vltimum ad Phy&longs;icum pertineat.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>403<emph.end type="italics"/></cell><cell><emph type="italics"/>Problem. 2. &longs;ect. 2 3. non ben&egrave; videtur a&longs;signare cau&longs;am vari&aelig; im-mer&longs;ionis nauigij.<emph.end type="italics"/></cell></row></table></section><pb/><!--blank page --><pb pagenum="33"/> <section><p type="head"><s>LOCA<lb/>MATHEMATICA<lb/>EX LIBRO<lb/>PR&AElig;DICAMENTORVM<lb/>Per ordinem declarata.</s></p><p type="main">
 1882  
 1883 <section><p type="head"><s>LOCA<lb/>MATHEMATICA<lb/>EX LIBRO<lb/>PR&AElig;DICAMENTORVM<lb/>Per ordinem declarata.</s></p><p type="main"> <s><arrow.to.target n="marg1"/></s></p><p type="margin">
 1884  
 1885 <s><arrow.to.target n="marg1"/></s></p><p type="margin"> <s><margin.target id="marg1"/>1</s></p></section>
 1886  </front><body><chap>
 1887 <s><margin.target id="marg1"/>1</s></p></section> <p type="main">
 1888 </front><body><chap> <s>Ex c. <!-- REMOVE S-->3. De his, qu&aelig; ad aliquid. </s>
 1889 <p type="main"> 
 1890 <s>Ex c. <!-- REMOVE S-->3. De his, qu&aelig; ad aliquid. </s> 
 1891  <s>Porr&ograve; quemadmodum vnus angulus vni angulo &aelig;qualis e&longs;t, ita <lb/><expan abbr="aliqu&atilde;do">aliquando</expan> duo anguli &longs;unt vni angulo &aelig;quales, vt patet, &longs;i vnus angulus, v.g. <lb/><!-- REMOVE S-->angulus B A C, vbi ait <emph type="italics"/>(Scientia ver&ograve; &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/>&longs;cientia quidem eius nondum e&longs;t)<emph.end type="italics"/> Cum velit Ari&longs;t.
 1892  
 1893 <s>Porr&ograve; quemadmodum vnus angulus vni angulo &aelig;qualis e&longs;t, ita <lb/><expan abbr="aliqu&atilde;do">aliquando</expan> duo anguli &longs;unt vni angulo &aelig;quales, vt patet, &longs;i vnus angulus, v.g. <lb/><!-- REMOVE S-->angulus B A C, vbi ait <emph type="italics"/>(Scientia ver&ograve; &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/>&longs;cientia quidem eius nondum e&longs;t)<emph.end type="italics"/> Cum velit Ari&longs;t.  o&longs;tendere, <lb/>n&oacute; omnia correlatiua &longs;imul e&longs;&longs;e natura, id de &longs;cibili, &amp; &longs;cien&shy;<lb/>tia vari&egrave; probat, pr&aelig;&longs;ertim ver&ograve;, quia multa &longs;int &longs;cibilia, <lb/>qu&aelig; tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu&shy;<lb/>ra circuli, &amp; &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi&shy;<lb/>lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s>
 1894  
 1895 o&longs;tendere, <lb/>n&oacute; omnia correlatiua &longs;imul e&longs;&longs;e natura, id de &longs;cibili, &amp; &longs;cien&shy;<lb/>tia vari&egrave; probat, pr&aelig;&longs;ertim ver&ograve;, quia multa &longs;int &longs;cibilia, <lb/>qu&aelig; tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu&shy;<lb/>ra circuli, &amp; &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi&shy;<lb/>lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s> <s>Qu&aelig; vt perfect&egrave; <lb/>intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, qu&aelig; &agrave; Gr&aelig;cis tetrago&shy;<lb/>ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, qu&agrave;m propo&longs;ito cuilibet circulo exhibere <lb/>quadratum &aelig;quale. </s>
 1896  
 1897 <s>Qu&aelig; vt perfect&egrave; <lb/>intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, qu&aelig; &agrave; Gr&aelig;cis tetrago&shy;<lb/>ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, qu&agrave;m propo&longs;ito cuilibet circulo exhibere <lb/>quadratum &aelig;quale. </s> <s>Qu&aelig; &aelig;qualitas 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 &aelig;qualis <lb/>are&aelig;, &longs;eu &longs;uperficiei quadrat&aelig;. </s>
 1898  
 1899 <s>Qu&aelig; &aelig;qualitas 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 &aelig;qualis <lb/>are&aelig;, &longs;eu &longs;uperficiei quadrat&aelig;. </s> <s>Qua in re plurimi decipiuntur exi&longs;timantes <lb/>per quadraturam cir culi inquiri &aelig;qualitatem linearum, ita vt circumferen&shy;<lb/>tia circuli debeat e&longs;&longs;e &aelig;qualis ambitui, &longs;eu quatuor lateribus quadrati: <lb/>quod omnino fal&longs;um e&longs;t.</s></p><p type="main">
 1900  
 1901 <s>Qua in re plurimi decipiuntur exi&longs;timantes <lb/>per quadraturam cir culi inquiri &aelig;qualitatem linearum, ita vt circumferen&shy;<lb/>tia circuli debeat e&longs;&longs;e &aelig;qualis ambitui, &longs;eu quatuor lateribus quadrati: <lb/>quod omnino fal&longs;um e&longs;t.</s></p><p type="main"> <s>Quadratio porr&ograve; circuli dupliciter proponi pote&longs;t, vel tanquam Theo&shy;<lb/>rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa&shy;<lb/>ciendum proponitur; problema ver&ograve; aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem&shy;<lb/>pore Ari&longs;t.
 1902  
 1903 <s>Quadratio porr&ograve; circuli dupliciter proponi pote&longs;t, vel tanquam Theo&shy;<lb/>rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa&shy;<lb/>ciendum proponitur; problema ver&ograve; aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem&shy;<lb/>pore Ari&longs;t.  erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen&shy;<lb/>tis circiter annis ab Archimede: problema ver&ograve; nondum &agrave; quoquam per&shy;<lb/>fect&egrave; potuit reperiri. </s>
 1904  
 1905 erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen&shy;<lb/>tis circiter annis ab Archimede: problema ver&ograve; nondum &agrave; quoquam per&shy;<lb/>fect&egrave; potuit reperiri. </s> <s>qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius <lb/>hocloco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadratur&aelig; huius, &longs;i nimi&shy;<lb/>rum intelligant theorema. </s>
 1906  
 1907 <s>qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius <lb/>hocloco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadratur&aelig; huius, &longs;i nimi&shy;<lb/>rum intelligant theorema. </s> <s>&amp; alij etiam verum a&longs;&longs;erunt, dum negant hacte&shy;<lb/>nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi&shy;<pb pagenum="34"/>medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au&shy;<lb/>tem huiu&longs;modi. </s>
 1908  
 1909 <s>&amp; alij etiam verum a&longs;&longs;erunt, dum negant hacte&shy;<lb/>nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi&shy;<pb pagenum="34"/>medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au&shy;<lb/>tem huiu&longs;modi. </s> <s>Quilibet circulus &aelig;qualis e&longs;t triangulo rectangulo, cuius <lb/>quidem &longs;emidiameter vni laterum, qu&aelig; circa rectum angulum &longs;unt, ambi&shy;<lb/>tus ver&ograve; ba&longs;i eius e&longs;t &aelig;qualis.</s></p><figure place="text" xlink:href="figures-la/009.01.034.1.tif"/><p type="main">
 1910  
 1911 <s>Quilibet circulus &aelig;qualis e&longs;t triangulo rectangulo, cuius <lb/>quidem &longs;emidiameter vni laterum, qu&aelig; circa rectum angulum &longs;unt, ambi&shy;<lb/>tus ver&ograve; ba&longs;i eius e&longs;t &aelig;qualis.</s></p><figure place="text" xlink:href="figures-la/009.01.034.1.tif"/><p type="main"> <s>Sit, v.g. <!-- REMOVE S-->datus circulus, cuius &longs;emidiameter A B; &amp; fit trian gulum rectangu&shy;<lb/>lum A B C, cuius angulus B, &longs;it rectus, &amp; latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re&shy;<lb/>ctum B, cum ba&longs;i B C, &longs;it &aelig;quale &longs;emidiametro A B; ba&longs;is ver&ograve; B C, &longs;it &aelig;qua&shy;<lb/>lis peripheri&aelig; eiu&longs;dem circuli dati. </s>
 1912  
 1913 <s>Sit, v.g. <!-- REMOVE S-->datus circulus, cuius &longs;emidiameter A B; &amp; fit trian gulum rectangu&shy;<lb/>lum A B C, cuius angulus B, &longs;it rectus, &amp; latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re&shy;<lb/>ctum B, cum ba&longs;i B C, &longs;it &aelig;quale &longs;emidiametro A B; ba&longs;is ver&ograve; B C, &longs;it &aelig;qua&shy;<lb/>lis peripheri&aelig; eiu&longs;dem circuli dati. </s> 
 1914  
 1915  <s>demon&longs;trat iam ibi Archimedes acuta <lb/>&aelig;qu&egrave;, ac euidenti demon&longs;tratione triangulum i&longs;tud &aelig;quale e&longs;&longs;e circulo illi. <lb/></s>
 1916  
 1917 <s>demon&longs;trat iam ibi Archimedes acuta <lb/>&aelig;qu&egrave;, ac euidenti demon&longs;tratione triangulum i&longs;tud &aelig;quale e&longs;&longs;e circulo illi. <lb/></s> <s>quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it &aelig;qualis, cum per vl&shy;<lb/>timam 2. Eucl. <!-- REMOVE S-->po&longs;&longs;imus triangulo huic quadratum &aelig;quale con&longs;truere, quod <lb/>con&longs;equenter dato circulo &aelig;quale erit. </s>
 1918  
 1919 <s>quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it &aelig;qualis, cum per vl&shy;<lb/>timam 2. Eucl. <!-- REMOVE S-->po&longs;&longs;imus triangulo huic quadratum &aelig;quale con&longs;truere, quod <lb/>con&longs;equenter dato circulo &aelig;quale erit. </s> 
 1920  
 1921  <s>Quod &longs;i in modum Problematis ita <lb/>proponatur: Dato circulo &aelig;quale quadratum con&longs;truere, nondum inuenta <lb/>e&longs;t ratio, qu&aelig; demon&longs;tratione confirmetur, qua id geometric&egrave; penitus, hoc <lb/>e&longs;t ad &aelig;qualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif&shy;<lb/>ficultas po&longs;ita e&longs;&longs;e videtur in inue&longs;tigando, quonam modo exhibeamus li&shy;<lb/>neam rectam B C, &aelig;qualem peripheri&aelig; circuli dati. </s>
 1922  
 1923 <s>Quod &longs;i in modum Problematis ita <lb/>proponatur: Dato circulo &aelig;quale quadratum con&longs;truere, nondum inuenta <lb/>e&longs;t ratio, qu&aelig; demon&longs;tratione confirmetur, qua id geometric&egrave; penitus, hoc <lb/>e&longs;t ad &aelig;qualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif&shy;<lb/>ficultas po&longs;ita e&longs;&longs;e videtur in inue&longs;tigando, quonam modo exhibeamus li&shy;<lb/>neam rectam B C, &aelig;qualem peripheri&aelig; circuli dati. </s> <s>quam nullus hactenus <lb/>geometric&egrave; illi &aelig;qualem potuit exhibere, <expan abbr="atq;">atque</expan> exhibita <expan abbr="euid&etilde;ti">euidenti</expan> demon&longs;tra&shy;<lb/>tione comprobare; Quamuis Archimedes acumine &longs;an&egrave; mirabili in lib.
 1924  
 1925 <s>quam nullus hactenus <lb/>geometric&egrave; illi &aelig;qualem potuit exhibere, <expan abbr="atq;">atque</expan> exhibita <expan abbr="euid&etilde;ti">euidenti</expan> demon&longs;tra&shy;<lb/>tione comprobare; Quamuis Archimedes acumine &longs;an&egrave; mirabili in lib.  de <lb/>lineis &longs;piralibus, eam <expan abbr="quoq;">quoque</expan> theorematic&egrave;, non tamen problematic&egrave; inue&shy;<lb/>&longs;tigauit. </s>
 1926  
 1927 de <lb/>lineis &longs;piralibus, eam <expan abbr="quoq;">quoque</expan> theorematic&egrave;, non tamen problematic&egrave; inue&shy;<lb/>&longs;tigauit. </s> <s>nam propo&longs;itione 18. illius <expan abbr="admir&atilde;di">admirandi</expan> operis inuenit lineam rectam <lb/>&aelig;qualem circumferenti&aelig; primi circuli &longs;piralis line&aelig;; propo&longs; ver&ograve; 19. repe&shy;<lb/>rit aliam rectam &aelig;qualem circumferenti&aelig; &longs;ecundi circuli. </s>
 1928  
 1929 <s>nam propo&longs;itione 18. illius <expan abbr="admir&atilde;di">admirandi</expan> operis inuenit lineam rectam <lb/>&aelig;qualem circumferenti&aelig; primi circuli &longs;piralis line&aelig;; propo&longs; ver&ograve; 19. repe&shy;<lb/>rit aliam rectam &aelig;qualem circumferenti&aelig; &longs;ecundi circuli. </s> <s>tu ip&longs;um con&longs;ule, <lb/>&longs;i admirandarum rerum contemplatione delectaris. </s>
 1930  
 1931 <s>tu ip&longs;um con&longs;ule, <lb/>&longs;i admirandarum rerum contemplatione delectaris. </s> <s>Multa hac de re Pap&shy;<lb/>pus Alexandrinus lib.
 1932  
 1933 <s>Multa hac de re Pap&shy;<lb/>pus Alexandrinus lib.  4. Math. coll. </s>
 1934  
 1935 4. Math. coll. </s> <s>&amp; Ioannes Buteo vnico volumine om&shy;<lb/>nes quadraturas tain pri&longs;corum, quam recentiorum <expan abbr="c&otilde;prehen&longs;us">comprehen&longs;us</expan> e&longs;t. </s>
 1936  
 1937 <s>&amp; Ioannes Buteo vnico volumine om&shy;<lb/>nes quadraturas tain pri&longs;corum, quam recentiorum <expan abbr="c&otilde;prehen&longs;us">comprehen&longs;us</expan> e&longs;t. </s> <s>Qua&shy;<lb/>re qui plura cupit, eos adeat; nos tamen infra &longs;uis locis explicabimus tres <lb/>illas celebres antiquorum Antiphontis, Bri&longs;&longs;onis, &amp; Hippocratis quadra&shy;<lb/>turas, quamuis fal&longs;as, <expan abbr="quar&utilde;">quarum</expan> &longs;&aelig;pe meminit Ari&longs;t. &amp; alij. </s>
 1938  
 1939 <s>Qua&shy;<lb/>re qui plura cupit, eos adeat; nos tamen infra &longs;uis locis explicabimus tres <lb/>illas celebres antiquorum Antiphontis, Bri&longs;&longs;onis, &amp; Hippocratis quadra&shy;<lb/>turas, quamuis fal&longs;as, <expan abbr="quar&utilde;">quarum</expan> &longs;&aelig;pe meminit Ari&longs;t. &amp; alij. </s> <s>&longs;olet autem &agrave; non&shy;<lb/>nullis di&longs;putari, vtrum quadratura i&longs;ta problematica &longs;it po&longs;&longs;ibilis, nec ne, <lb/>cum videant eam &agrave; nemine, quamuis diu magno labore perqui&longs;itam, hacte&shy;<lb/>nus adinuentam e&longs;&longs;e. </s>
 1940  
 1941 <s>&longs;olet autem &agrave; non&shy;<lb/>nullis di&longs;putari, vtrum quadratura i&longs;ta problematica &longs;it po&longs;&longs;ibilis, nec ne, <lb/>cum videant eam &agrave; nemine, quamuis diu magno labore perqui&longs;itam, hacte&shy;<lb/>nus adinuentam e&longs;&longs;e. </s> <s>ego quidem e&longs;&longs;e po&longs;&longs;ibilem exi&longs;timo, quis enim dubi&shy;<lb/>tare pote&longs;t, po&longs;&longs;e exi&longs;tere quadratum &aelig;quale circulo propo&longs;ito? </s>
 1942  
 1943 <s>ego quidem e&longs;&longs;e po&longs;&longs;ibilem exi&longs;timo, quis enim dubi&shy;<lb/>tare pote&longs;t, po&longs;&longs;e exi&longs;tere quadratum &aelig;quale circulo propo&longs;ito? </s> <s>Quod &longs;i po&shy;<lb/>te&longs;t fieri, quare non etiam demon&longs;trari? </s>
 1944  
 1945 <s>Quod &longs;i po&shy;<lb/>te&longs;t fieri, quare non etiam demon&longs;trari? </s> <s>pr&ecedil;fertim cum videamus ab Archi&shy;<lb/>mede iam inuentam e&longs;&longs;e, quatenus Theorema e&longs;t. </s>
 1946  
 1947 <s>pr&ecedil;fertim cum videamus ab Archi&shy;<lb/>mede iam inuentam e&longs;&longs;e, quatenus Theorema e&longs;t. </s> <s>&amp; pr&aelig;terea con&longs;tet, Hip&shy;<lb/>pocratem quadra&longs;&longs;e lunulam, vt &longs;uo loco dicemus, &amp; Archimedem in libel&shy;<pb pagenum="35"/>lo de quadratura Paraboles, quadra&longs;&longs;e ip&longs;am Parabolem, qu&aelig; tamen du&aelig; fi&shy;<lb/>gur&aelig;, lunula &longs;cilicet, &amp; parabola &longs;unt curuiline&aelig;.</s></p><p type="main">
 1948  
 1949 <s>&amp; pr&aelig;terea con&longs;tet, Hip&shy;<lb/>pocratem quadra&longs;&longs;e lunulam, vt &longs;uo loco dicemus, &amp; Archimedem in libel&shy;<pb pagenum="35"/>lo de quadratura Paraboles, quadra&longs;&longs;e ip&longs;am Parabolem, qu&aelig; tamen du&aelig; fi&shy;<lb/>gur&aelig;, lunula &longs;cilicet, &amp; parabola &longs;unt curuiline&aelig;.</s></p><p type="main"> <s><arrow.to.target n="marg2"/></s></p><p type="margin">
 1950  
 1951 <s><arrow.to.target n="marg2"/></s></p><p type="margin"> <s><margin.target id="marg2"/>2</s></p><p type="main">
 1952  
 1953 <s><margin.target id="marg2"/>2</s></p><p type="main"> <s>Ex cap.
 1954  
 1955 <s>Ex cap.  de Priori <emph type="italics"/>(in &longs;cientijs demon&longs;tratiuis e&longs;t prius, &amp; po&longs;terius ordine, <lb/>elementa enim priora &longs;unt ijs, qu&aelig; de&longs;cribuntur, nam principia prior a &longs;unt theore&shy;<lb/>matibus ordine)<emph.end type="italics"/> verba illa, nam principia, &amp;c. </s>
 1956  
 1957 de Priori <emph type="italics"/>(in &longs;cientijs demon&longs;tratiuis e&longs;t prius, &amp; po&longs;terius ordine, <lb/>elementa enim priora &longs;unt ijs, qu&aelig; de&longs;cribuntur, nam principia prior a &longs;unt theore&shy;<lb/>matibus ordine)<emph.end type="italics"/> verba illa, nam principia, &amp;c. </s> <s>qu&aelig; non &longs;unt in antiqua tran&shy;<lb/>&longs;latione de&longs;ump&longs;imus ex ca&longs;tigati&longs;&longs;imo gr&aelig;co codice editionis Francfor&shy;<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&shy;<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&shy;<lb/>nes, &longs;olet ip&longs;e Mathematicas Demon&longs;trationes innuere, quod in ip&longs;is figu&shy;<lb/>rationes, &amp; De&longs;criptiones adhibeantur, vt alijs locis patebit: idcirco ver&shy;<lb/>ba illa &agrave; nobis addita ex gr&aelig;co, optim &egrave; <expan abbr="pr&aelig;ced&etilde;tia">pr&aelig;cedentia</expan> exponunt, cum per ele&shy;<lb/>menta intelligantur principia, qualia &longs;unt initio Euclidis, &amp; per de&longs;criptio&shy;<lb/>nes exponant theoremata. </s>
 1958  
 1959 <s>qu&aelig; non &longs;unt in antiqua tran&shy;<lb/>&longs;latione de&longs;ump&longs;imus ex ca&longs;tigati&longs;&longs;imo gr&aelig;co codice editionis Francfor&shy;<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&shy;<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&shy;<lb/>nes, &longs;olet ip&longs;e Mathematicas Demon&longs;trationes innuere, quod in ip&longs;is figu&shy;<lb/>rationes, &amp; De&longs;criptiones adhibeantur, vt alijs locis patebit: idcirco ver&shy;<lb/>ba illa &agrave; nobis addita ex gr&aelig;co, optim &egrave; <expan abbr="pr&aelig;ced&etilde;tia">pr&aelig;cedentia</expan> exponunt, cum per ele&shy;<lb/>menta intelligantur principia, qualia &longs;unt initio Euclidis, &amp; per de&longs;criptio&shy;<lb/>nes exponant theoremata. </s> <s>quod autem principia illa ordine priora &longs;int de&shy;<lb/>mon&longs;trationibus, &longs;iue ip&longs;as pr&aelig;cedant, ex ip&longs;a primi Euclidis in&longs;pectione <lb/>patere pote&longs;t.</s></p><p type="main">
 1960  
 1961 <s>quod autem principia illa ordine priora &longs;int de&shy;<lb/>mon&longs;trationibus, &longs;iue ip&longs;as pr&aelig;cedant, ex ip&longs;a primi Euclidis in&longs;pectione <lb/>patere pote&longs;t.</s></p><p type="main"> <s><arrow.to.target n="marg3"/></s></p><p type="margin">
 1962  
 1963 <s><arrow.to.target n="marg3"/></s></p><p type="margin"> <s><margin.target id="marg3"/>3</s></p><p type="main">
 1964  
 1965 <s><margin.target id="marg3"/>3</s></p><p type="main"> <s>Ex cap.
 1966  
 1967 <s>Ex cap.  de motu <emph type="italics"/>(Quadratum augetur Gnomone circumpo&longs;ito)<emph.end type="italics"/> Gnomon vox <lb/>gr&aelig;ca inter alia &longs;ignificat in&longs;trumentum illud, quod Latini tum amu&longs;&longs;im, <lb/><figure place="text" xlink:href="figures-la/009.01.035.1.tif"/><lb/>tum normam appellant, Itali ver&ograve;, Squadra, ad <lb/>cuius &longs;imilitudinem Geometr&aelig; denominarunt fi&shy;<lb/>guram quandam, &longs;eu portionem cuiu&longs;uis paralle&shy;<lb/>logrammi, vt videre e&longs;t in definitione &longs;ecunda <lb/>2. elem. </s>
 1968  
 1969 de motu <emph type="italics"/>(Quadratum augetur Gnomone circumpo&longs;ito)<emph.end type="italics"/> Gnomon vox <lb/>gr&aelig;ca inter alia &longs;ignificat in&longs;trumentum illud, quod Latini tum amu&longs;&longs;im, <lb/><figure place="text" xlink:href="figures-la/009.01.035.1.tif"/><lb/>tum normam appellant, Itali ver&ograve;, Squadra, ad <lb/>cuius &longs;imilitudinem Geometr&aelig; denominarunt fi&shy;<lb/>guram quandam, &longs;eu portionem cuiu&longs;uis paralle&shy;<lb/>logrammi, vt videre e&longs;t in definitione &longs;ecunda <lb/>2. elem. </s> <s>&amp; in pr&aelig;&longs;enti figura, in qua quadratum <lb/>A B C D, circumpo&longs;ito gnomone E F G, augetur, <lb/>&amp; fit maius quadratum H B I L.<!-- KEEP S--></s></p><p type="main">
 1970  
 1971 <s>&amp; in pr&aelig;&longs;enti figura, in qua quadratum <lb/>A B C D, circumpo&longs;ito gnomone E F G, augetur, <lb/>&amp; fit maius quadratum H B I L.<!-- KEEP S--></s></p><p type="main"> <s>Idem etiam verum e&longs;t in quadrato arithmeti&shy;<lb/>co, &longs;iue in numero quadrato: is enim pariter ad&shy;<lb/>dito Gnomone augetur. </s>
 1972  
 1973 <s>Idem etiam verum e&longs;t in quadrato arithmeti&shy;<lb/>co, &longs;iue in numero quadrato: is enim pariter ad&shy;<lb/>dito Gnomone augetur. </s> <s>i. </s>
 1974  
 1975 <s>i. </s> <s>addito numero impari. <lb/></s>
 1976  
 1977 <s>addito numero impari. <lb/></s> <s>quemadmodum infra 3. Phy&longs;. tex. <!-- REMOVE S-->26. fus&egrave; explicabimus.</s>
 1978  
 1979 <s>quemadmodum infra 3. Phy&longs;. tex. <!-- REMOVE S-->26. fus&egrave; explicabimus.</s> </p><p type="head">
 1980  
 1981 </p><p type="head"> <s><emph type="italics"/>Ex Primo Priorum re&longs;olutoriorum.<emph.end type="italics"/></s></p>
 1982  </chap><chap>
 1983 <s><emph type="italics"/>Ex Primo Priorum re&longs;olutoriorum.<emph.end type="italics"/></s></p> <p type="main">
 1984 </chap><chap> <s><arrow.to.target n="marg4"/></s></p><p type="margin">
 1985 <p type="main"> 
 1986 <s><arrow.to.target n="marg4"/></s></p><p type="margin"> <s><margin.target id="marg4"/>4</s></p><p type="main">
 1987  
 1988 <s><margin.target id="marg4"/>4</s></p><p type="main"> <s>Aliquorum opinio e&longs;t, Ari&longs;totelem ho&longs;ce libros appella&longs;&longs;e re&longs;olu&shy;<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&shy;<lb/>nem meum non e&longs;t, nunc refellere. </s>
 1989  
 1990 <s>Aliquorum opinio e&longs;t, Ari&longs;totelem ho&longs;ce libros appella&longs;&longs;e re&longs;olu&shy;<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&shy;<lb/>nem meum non e&longs;t, nunc refellere. </s> <s>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&shy;<lb/>tiori Mathematicorum eruditione. </s>
 1991  
 1992 <s>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&shy;<lb/>tiori Mathematicorum eruditione. </s> <s>Sciendum <expan abbr="itaq;">itaque</expan> id, quod tradit Pappus <lb/>Alex. initio &longs;eptimi Mathem. collect. </s>
 1993  
 1994 <s>Sciendum <expan abbr="itaq;">itaque</expan> id, quod tradit Pappus <lb/>Alex. initio &longs;eptimi Mathem. collect. </s> <s>antiqui&longs;&longs;imos videlicet Geometras, <lb/>Euclidem, Apollonium Perg&aelig;um, &amp; Ari&longs;t&ecedil;um &longs;crip&longs;i&longs;&longs;e libros de re&longs;olutio&shy;<lb/>ne, in quibus ars tradebatur, qua propo&longs;ito quouis theoremate, aut proble&shy;<lb/>mate po&longs;&longs;ent facile ex eo, tanquam vero accepto inue&longs;tigare aliquam veri&shy;<lb/>tatem, per quam deinde componerent illius, quod qu&aelig;rebatur, Demon&longs;tra&shy;<lb/>tionem; inue&longs;tigationem illam appellabant re&longs;olutionem: compo&longs;itionem <lb/>ver&ograve; nominabant di&longs;cur&longs;um <expan abbr="ill&utilde;">illum</expan>, quo ex vero illo per re&longs;olutionem inuento, <pb pagenum="36"/>o&longs;tendebant conclu&longs;ionem. </s>
 1995  
 1996 <s>antiqui&longs;&longs;imos videlicet Geometras, <lb/>Euclidem, Apollonium Perg&aelig;um, &amp; Ari&longs;t&ecedil;um &longs;crip&longs;i&longs;&longs;e libros de re&longs;olutio&shy;<lb/>ne, in quibus ars tradebatur, qua propo&longs;ito quouis theoremate, aut proble&shy;<lb/>mate po&longs;&longs;ent facile ex eo, tanquam vero accepto inue&longs;tigare aliquam veri&shy;<lb/>tatem, per quam deinde componerent illius, quod qu&aelig;rebatur, Demon&longs;tra&shy;<lb/>tionem; inue&longs;tigationem illam appellabant re&longs;olutionem: compo&longs;itionem <lb/>ver&ograve; nominabant di&longs;cur&longs;um <expan abbr="ill&utilde;">illum</expan>, quo ex vero illo per re&longs;olutionem inuento, <pb pagenum="36"/>o&longs;tendebant conclu&longs;ionem. </s> <s>Porr&ograve; Diogenes Laert. <!-- REMOVE S-->huius re&longs;olutionis in&shy;<lb/>uentorem facit Platonem: &agrave; quo eam Leodamas Tha&longs;ius didicit, cuius be&shy;<lb/>neficio, pluries deinde Geometricas demon&longs;trationes adinuenit. </s>
 1997  
 1998 <s>Porr&ograve; Diogenes Laert. <!-- REMOVE S-->huius re&longs;olutionis in&shy;<lb/>uentorem facit Platonem: &agrave; quo eam Leodamas Tha&longs;ius didicit, cuius be&shy;<lb/>neficio, pluries deinde Geometricas demon&longs;trationes adinuenit. </s> 
 1999  
 2000  <s>definitio <lb/><expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> e&longs;t a pud Euclidem ad primam propo&longs;. </s>
 2001  
 2002 <s>definitio <lb/><expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> e&longs;t a pud Euclidem ad primam propo&longs;. </s> <s>13. Elem. iuxta tran&longs;latio&shy;<lb/>nem Zamberti, &amp; Commandini; vbi etiam <expan abbr="quinq;">quinque</expan> priora theoremata, pri&shy;<lb/>m&ograve; per re&longs;olutionem, deinde per compo&longs;itionem demon&longs;trantur, qu&aelig; tan&shy;<lb/>quam per&longs;picua exempla rei propo&longs;it&aelig; in&longs;eruire po&longs;&longs;unt. </s>
 2003  
 2004 <s>13. Elem. iuxta tran&longs;latio&shy;<lb/>nem Zamberti, &amp; Commandini; vbi etiam <expan abbr="quinq;">quinque</expan> priora theoremata, pri&shy;<lb/>m&ograve; per re&longs;olutionem, deinde per compo&longs;itionem demon&longs;trantur, qu&aelig; tan&shy;<lb/>quam per&longs;picua exempla rei propo&longs;it&aelig; in&longs;eruire po&longs;&longs;unt. </s> <s>&longs;unt pr&aelig;terea fre&shy;<lb/>quentes huiu&longs;modi re&longs;olutiones in operibus Archimedis, Apollonij, &amp; Pap&shy;<lb/>pi. </s>
 2005  
 2006 <s>&longs;unt pr&aelig;terea fre&shy;<lb/>quentes huiu&longs;modi re&longs;olutiones in operibus Archimedis, Apollonij, &amp; Pap&shy;<lb/>pi. </s> <s>extat adhuc liber Datorum Euclidis, qui geometricis re&longs;olutionibus in&shy;<lb/>&longs;eruiebat. </s>
 2007  
 2008 <s>extat adhuc liber Datorum Euclidis, qui geometricis re&longs;olutionibus in&shy;<lb/>&longs;eruiebat. </s> <s>vtinam extarent etiam alij de re&longs;olutione, quorum auxilio non <lb/>tantopere recentiores Mathematici in inueniendis Demo&longs;trationibus la&shy;<lb/>borarent; hanc re&longs;olutionem, &longs;ic Pappus fu&longs;ius, quam Euclides explicat; <lb/>re&longs;olutio e&longs;t via &agrave; qu&aelig;&longs;ito tanquam conce&longs;&longs;o per ea, qu&aelig; exip&longs;o con&longs;equun&shy;<lb/>tur ad aliquod certum, &amp; conce&longs;&longs;um: in re&longs;olutione enim id, quod qu&aelig;ritur <lb/>tanquam factum, &amp; verum &longs;upponentes, quid ex hoc &longs;equatur, con&longs;idera&shy;<lb/>mus, quou&longs;que incidamus in aliquod iam cognitum, vel quod &longs;it &egrave; numero <lb/>principiorum. </s>
 2009  
 2010 <s>vtinam extarent etiam alij de re&longs;olutione, quorum auxilio non <lb/>tantopere recentiores Mathematici in inueniendis Demo&longs;trationibus la&shy;<lb/>borarent; hanc re&longs;olutionem, &longs;ic Pappus fu&longs;ius, quam Euclides explicat; <lb/>re&longs;olutio e&longs;t via &agrave; qu&aelig;&longs;ito tanquam conce&longs;&longs;o per ea, qu&aelig; exip&longs;o con&longs;equun&shy;<lb/>tur ad aliquod certum, &amp; conce&longs;&longs;um: in re&longs;olutione enim id, quod qu&aelig;ritur <lb/>tanquam factum, &amp; verum &longs;upponentes, quid ex hoc &longs;equatur, con&longs;idera&shy;<lb/>mus, quou&longs;que incidamus in aliquod iam cognitum, vel quod &longs;it &egrave; numero <lb/>principiorum. </s> <s>Quod quidem erat fignum euidens, qu&aelig;&longs;itum quoque verum <lb/>e&longs;&longs;e. </s>
 2011  
 2012 <s>Quod quidem erat fignum euidens, qu&aelig;&longs;itum quoque verum <lb/>e&longs;&longs;e. </s> <s>eadem omnino habet Proclus in comm. <!-- REMOVE S-->ad &longs;extam primi elem. </s>
 2013  
 2014 <s>eadem omnino habet Proclus in comm. <!-- REMOVE S-->ad &longs;extam primi elem. </s> 
 2015  
 2016  <s>Quod <lb/>porr&ograve; 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/>con&longs;ultat, qu&aelig;rere videtur, &amp; re&longs;oluere pr&aelig;dicto modo, quemadmodum de&longs;igna&shy;<lb/>tiones)<emph.end type="italics"/> vbi per de&longs;ignationes intelligit Geometricas demon&longs;trationes, vt <lb/>&longs;upra innuimus, &amp; infra probabimus; cum ergo con&longs;ultatio nihil aliud &longs;it, <lb/>quam medij idonei ad finem in rebus agendis inqui&longs;itio, eamque dicat e&longs;&longs;e <lb/>&longs;imilem re&longs;olutioni Geometric&aelig;, 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>
 2017  
 2018 <s>Quod <lb/>porr&ograve; 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/>con&longs;ultat, qu&aelig;rere videtur, &amp; re&longs;oluere pr&aelig;dicto modo, quemadmodum de&longs;igna&shy;<lb/>tiones)<emph.end type="italics"/> vbi per de&longs;ignationes intelligit Geometricas demon&longs;trationes, vt <lb/>&longs;upra innuimus, &amp; infra probabimus; cum ergo con&longs;ultatio nihil aliud &longs;it, <lb/>quam medij idonei ad finem in rebus agendis inqui&longs;itio, eamque dicat e&longs;&longs;e <lb/>&longs;imilem re&longs;olutioni Geometric&aelig;, 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> 
 2019  
 2020  <s>Exi&longs;timo igitur <lb/>cum docti&longs;&longs;imis Zabarella, Burana, Toleto, &amp; alijs, Ari&longs;totilem non &longs;olum <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/>non &longs;olum plurima exempla Geometrica, verum etiam titulum de&longs;ump&longs;i&longs;&longs;e, <lb/>pr&aelig;&longs;ertim cum argumentum e&longs;&longs;et fer&egrave; idem vtrobique, &longs;ed Ari&longs;t.
 2021  
 2022 <s>Exi&longs;timo igitur <lb/>cum docti&longs;&longs;imis Zabarella, Burana, Toleto, &amp; alijs, Ari&longs;totilem non &longs;olum <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/>non &longs;olum plurima exempla Geometrica, verum etiam titulum de&longs;ump&longs;i&longs;&longs;e, <lb/>pr&aelig;&longs;ertim cum argumentum e&longs;&longs;et fer&egrave; 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 ver&ograve;, &amp; alio&shy;<lb/>rum Geometri&aelig; &longs;oli. </s>
 2023  
 2024 intentio <lb/>fuerit accommodare re&longs;olutionem omnibus <expan abbr="&longs;ci&etilde;tijs">&longs;cientijs</expan>; Euclidis ver&ograve;, &amp; alio&shy;<lb/>rum Geometri&aelig; &longs;oli. </s> <s>hinc patere pote&longs;t, cur hi libri re&longs;olutorij in&longs;cribantur, <lb/>quod &longs;cilicet tradunt methodum, qua valeamus qu&aelig;&longs;itum quoduis re&longs;olue&shy;<lb/>re, ide&longs;t, ex qu&aelig;&longs;ito tanquam vero inue&longs;tare aliquam veritatem, per quam <lb/>deinde propo&longs;it&aelig; qu&aelig;&longs;tionis rationem methodo compo&longs;itiua reddamus. </s>
 2025  
 2026 <s>hinc patere pote&longs;t, cur hi libri re&longs;olutorij in&longs;cribantur, <lb/>quod &longs;cilicet tradunt methodum, qua valeamus qu&aelig;&longs;itum quoduis re&longs;olue&shy;<lb/>re, ide&longs;t, ex qu&aelig;&longs;ito tanquam vero inue&longs;tare aliquam veritatem, per quam <lb/>deinde propo&longs;it&aelig; qu&aelig;&longs;tionis rationem methodo compo&longs;itiua reddamus. </s> <s>Et <lb/>ver&ograve; cum reliquas appellationes Problematis, Theorematis, Propo&longs;itionis, <lb/>definitionum, po&longs;tulatorum, axiomatum, &amp; alia huiu&longs;modi ex Geometri&shy;<lb/>cis ad omnes &longs;cientias tran&longs;tulerit, quid ni etiam re&longs;olutionem? </s>
 2027  
 2028 <s>Et <lb/>ver&ograve; cum reliquas appellationes Problematis, Theorematis, Propo&longs;itionis, <lb/>definitionum, po&longs;tulatorum, axiomatum, &amp; alia huiu&longs;modi ex Geometri&shy;<lb/>cis ad omnes &longs;cientias tran&longs;tulerit, quid ni etiam re&longs;olutionem? </s> <s>maxim&egrave; <lb/>ver&ograve;, quia &longs;i horum lib.
 2029  
 2030 <s>maxim&egrave; <lb/>ver&ograve;, 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; im&ograve; nec vtilis, &longs;ed &longs;uperfluum quid. <lb/></s>
 2031  
 2032 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; im&ograve; nec vtilis, &longs;ed &longs;uperfluum quid. <lb/></s> <s>at ver&ograve; vbinam docuit hanc re&longs;olutionem? </s>
 2033  
 2034 <s>at ver&ograve; vbinam docuit hanc re&longs;olutionem? </s> <s>profecto nullibi. </s>
 2035  
 2036 <s>profecto nullibi. </s> <s>quid opus e&longs;t <lb/>iam factum &longs;yllogi&longs;mum re&longs;oluere? </s>
 2037  
 2038 <s>quid opus e&longs;t <lb/>iam factum &longs;yllogi&longs;mum re&longs;oluere? </s> <s>at ver&ograve; propo&longs;itam qu&aelig;&longs;tionem re&longs;ol&shy;<lb/>uere veterum mathematicorum more, hoc opus, hic labor e&longs;t.</s></p><p type="main">
 2039  
 2040 <s>at ver&ograve; propo&longs;itam qu&aelig;&longs;tionem re&longs;ol&shy;<lb/>uere veterum mathematicorum more, hoc opus, hic labor e&longs;t.</s></p><p type="main"> <s>Hanc porr&ograve; re&longs;olutionem attendendam e&longs;&longs;e prim&ograve; penes formam, quam <lb/>docet primis duobus analyticis; &longs;ecund&ograve; penes materiam, quam tradit duo&shy;<pb pagenum="37"/>bus vltimis, non pr&aelig;tereundum. </s>
 2041  
 2042 <s>Hanc porr&ograve; re&longs;olutionem attendendam e&longs;&longs;e prim&ograve; penes formam, quam <lb/>docet primis duobus analyticis; &longs;ecund&ograve; penes materiam, quam tradit duo&shy;<pb pagenum="37"/>bus vltimis, non pr&aelig;tereundum. </s> <s>reliquas duas logic&aelig; partes, Topicam &longs;ci&shy;<lb/>licet, &amp; Elenchos, qu&aelig; &longs;yllogi&longs;mos probabilem, &amp; apparentem docent, no&shy;<lb/>luit appellare re&longs;olutorios, quamuis inuentionem mediorum doceant, quia <lb/>iam mos i&longs;te inoleuerat apud Philo&longs;ophos, &amp; Mathematicos, vt illa &longs;ola <lb/>pars, qu&aelig; ex materia nece&longs;&longs;aria doceret &longs;yllogi&longs;mum demon&longs;tratiuum con&shy;<lb/>&longs;truere, diceretur re&longs;olutio: cum Mathematici, qui primi de re&longs;olutione <lb/>&longs;crip&longs;erunt, talem materiam &longs;olum con&longs;iderent.</s></p><p type="main">
 2043  
 2044 <s>reliquas duas logic&aelig; partes, Topicam &longs;ci&shy;<lb/>licet, &amp; Elenchos, qu&aelig; &longs;yllogi&longs;mos probabilem, &amp; apparentem docent, no&shy;<lb/>luit appellare re&longs;olutorios, quamuis inuentionem mediorum doceant, quia <lb/>iam mos i&longs;te inoleuerat apud Philo&longs;ophos, &amp; Mathematicos, vt illa &longs;ola <lb/>pars, qu&aelig; ex materia nece&longs;&longs;aria doceret &longs;yllogi&longs;mum demon&longs;tratiuum con&shy;<lb/>&longs;truere, diceretur re&longs;olutio: cum Mathematici, qui primi de re&longs;olutione <lb/>&longs;crip&longs;erunt, talem materiam &longs;olum con&longs;iderent.</s></p><p type="main"> <s><arrow.to.target n="marg5"/></s></p><p type="margin">
 2045  
 2046 <s><arrow.to.target n="marg5"/></s></p><p type="margin"> <s><margin.target id="marg5"/>5</s></p><p type="main">
 2047  
 2048 <s><margin.target id="marg5"/>5</s></p><p type="main"> <s>Ex cap.
 2049  
 2050 <s>Ex cap.  23. &longs;ecti primi lib.
 2051  
 2052 23. &longs;ecti primi lib.  1. <emph type="italics"/>(Vt quod diameter incommen&longs;urabilis eo, quod <lb/>imparia &aelig;qualia paribus fiant, &longs;i fuerit po&longs;ita commen&longs;ur abilis. </s>
 2053  
 2054 1. <emph type="italics"/>(Vt quod diameter incommen&longs;urabilis eo, quod <lb/>imparia &aelig;qualia paribus fiant, &longs;i fuerit po&longs;ita commen&longs;ur abilis. </s> <s>&aelig;qualia igitur fieri <lb/>imparia paribus ratiocinantur, diametrum vtr&ograve; incommen&longs;urabilem e&longs;&longs;e ex &longs;uppo&shy;<lb/>&longs;itione <expan abbr="mon&longs;tr&atilde;t">mon&longs;trant</expan>, quoniam fal&longs;um accidit propter contradictionem)<emph.end type="italics"/> Euclides pri&shy;<lb/>mis duabus definitionibus 10. elem. </s>
 2055  
 2056 <s>&aelig;qualia igitur fieri <lb/>imparia paribus ratiocinantur, diametrum vtr&ograve; incommen&longs;urabilem e&longs;&longs;e ex &longs;uppo&shy;<lb/>&longs;itione <expan abbr="mon&longs;tr&atilde;t">mon&longs;trant</expan>, quoniam fal&longs;um accidit propter contradictionem)<emph.end type="italics"/> Euclides pri&shy;<lb/>mis duabus definitionibus 10. elem. </s> <s>definit, qu&aelig; nam &longs;int magnitudines <lb/>commen&longs;. </s>
 2057  
 2058 <s>definit, qu&aelig; nam &longs;int magnitudines <lb/>commen&longs;. </s> <s>&amp; qu&aelig; incommen&longs;. </s>
 2059  
 2060 <s>&amp; qu&aelig; incommen&longs;. </s> <s>&longs;ic; commen&longs;. </s>
 2061  
 2062 <s>&longs;ic; commen&longs;. </s> <s>magnitudines dicuntur, quas <lb/><figure place="text" xlink:href="figures-la/009.01.037.1.tif"/><lb/>eadem men&longs;ura metitur, vt &longs;i fuerint du&aelig; magnitu&shy;<lb/>dines, A, &amp; B, quas eadem men&longs;ura C, ide&longs;t quan&shy;<lb/>titas C, metiatur, ide&longs;t <expan abbr="qu&atilde;titas">quantitas</expan> C, applicata quan&shy;<lb/>titati A, &amp; per ip&longs;am aliquoties replicata ip&longs;am ad&shy;<lb/>&aelig;quat&egrave; ab&longs;umat, vt &longs;i linea C, quinquies &longs;uper li&shy;<lb/>neam A, replicata eam pr&aelig;cis&egrave;, &amp; perfect&egrave; omnin&ograve; <lb/>ad&aelig;quaret: &amp; eadem linea C, applicata line&aelig; B, &amp; &longs;uper illam ter, v.g. <!-- REMOVE S-->re&shy;<lb/>petita ip&longs;am con&longs;umeret, diceretur <expan abbr="vtranq;">vtranque</expan> metiri, &amp; proinde duas lineas <lb/>A, &amp; 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&shy;<lb/>rum nullam contingit communem men&longs;uram reperiri; vt &longs;i duarum linea&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.037.2.tif"/><lb/>rum, A, B, nunquam po&longs;&longs;et reperiri aliqua men&longs;u&shy;<lb/>ra, qu&aelig; <expan abbr="vtranq;">vtranque</expan> ad&aelig;quat&egrave; metiretur, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&longs;i linea <lb/>C, men&longs;uraret A, quater &longs;umpta, ter autem &longs;umpta <lb/>non ad&aelig;quaret omnino <expan abbr="line&atilde;">lineam</expan> B, &longs;ed deficeret, vel ex&shy;<lb/>cederet aliquantulum, <expan abbr="atq;">atque</expan> hoc fieret in quauis alia <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 perfect&egrave; metiretur, e&longs;&longs;ent du&aelig; ill&aelig; line&aelig; <lb/>incommen&longs;. </s>
 2063  
 2064 <s>magnitudines dicuntur, quas <lb/><figure place="text" xlink:href="figures-la/009.01.037.1.tif"/><lb/>eadem men&longs;ura metitur, vt &longs;i fuerint du&aelig; magnitu&shy;<lb/>dines, A, &amp; B, quas eadem men&longs;ura C, ide&longs;t quan&shy;<lb/>titas C, metiatur, ide&longs;t <expan abbr="qu&atilde;titas">quantitas</expan> C, applicata quan&shy;<lb/>titati A, &amp; per ip&longs;am aliquoties replicata ip&longs;am ad&shy;<lb/>&aelig;quat&egrave; ab&longs;umat, vt &longs;i linea C, quinquies &longs;uper li&shy;<lb/>neam A, replicata eam pr&aelig;cis&egrave;, &amp; perfect&egrave; omnin&ograve; <lb/>ad&aelig;quaret: &amp; eadem linea C, applicata line&aelig; B, &amp; &longs;uper illam ter, v.g. <!-- REMOVE S-->re&shy;<lb/>petita ip&longs;am con&longs;umeret, diceretur <expan abbr="vtranq;">vtranque</expan> metiri, &amp; proinde duas lineas <lb/>A, &amp; 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&shy;<lb/>rum nullam contingit communem men&longs;uram reperiri; vt &longs;i duarum linea&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.037.2.tif"/><lb/>rum, A, B, nunquam po&longs;&longs;et reperiri aliqua men&longs;u&shy;<lb/>ra, qu&aelig; <expan abbr="vtranq;">vtranque</expan> ad&aelig;quat&egrave; metiretur, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&longs;i linea <lb/>C, men&longs;uraret A, quater &longs;umpta, ter autem &longs;umpta <lb/>non ad&aelig;quaret omnino <expan abbr="line&atilde;">lineam</expan> B, &longs;ed deficeret, vel ex&shy;<lb/>cederet aliquantulum, <expan abbr="atq;">atque</expan> hoc fieret in quauis alia <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 perfect&egrave; metiretur, e&longs;&longs;ent du&aelig; ill&aelig; line&aelig; <lb/>incommen&longs;. </s> 
 2065  
 2066  
 2067  
 2068  
 2069  
 2070  
 2071  
 2072  <s>Extare porr&ograve; tales lineas, &amp; &longs;uperficies, &amp; corpora, <expan abbr="ea&qacute;">eaque</expan>; quam&shy;<lb/>plurima, ac pen&egrave; infinita ex 10. Elem. manife&longs;tum e&longs;t. </s>
 2073  
 2074 <s>Extare porr&ograve; tales lineas, &amp; &longs;uperficies, &amp; corpora, <expan abbr="ea&qacute;">eaque</expan>; quam&shy;<lb/>plurima, ac pen&egrave; infinita ex 10. Elem. manife&longs;tum e&longs;t. </s> <s>inuentum autem hu&shy;<lb/>ius a&longs;ymmetri&aelig;, 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&shy;<lb/>&longs;ius cognitionem potuerit pri&longs;cos illos Geometras inducere. </s>
 2075  
 2076 <s>inuentum autem hu&shy;<lb/>ius a&longs;ymmetri&aelig;, 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&shy;<lb/>&longs;ius cognitionem potuerit pri&longs;cos illos Geometras inducere. </s> <s>Quapropter <lb/>non immerit&ograve; diuinus ille Plato lib.
 2077  
 2078 <s>Quapropter <lb/>non immerit&ograve; diuinus ille Plato lib.  7. de legib. </s>
 2079  
 2080 7. de legib. </s> <s>huius a&longs;ymmetri&aelig; ignora&shy;<lb/>tionem, adeo dete&longs;tatus e&longs;t, vt eam non hominum, &longs;ed &longs;uum, pecorumque <lb/>ignorantiam cen&longs;uerit. </s>
 2081  
 2082 <s>huius a&longs;ymmetri&aelig; ignora&shy;<lb/>tionem, adeo dete&longs;tatus e&longs;t, vt eam non hominum, &longs;ed &longs;uum, pecorumque <lb/>ignorantiam cen&longs;uerit. </s> <s>inter lineas incommen&longs;. </s>
 2083  
 2084 <s>inter lineas incommen&longs;. </s> <s>&longs;unt diameter, &amp; latus eiu&longs;&shy;<lb/>dem quadrati, quia nulla pote&longs;t reperiri men&longs;ura quantumuis exigua, vti <lb/><figure place="text" xlink:href="figures-la/009.01.037.3.tif"/><lb/>e&longs;t lineola E, in pr&aelig;&longs;enti quadrato, etiam&longs;i illam in <lb/>infinitum &longs;ubdiuidas, qu&aelig; <expan abbr="vtranq;">vtranque</expan> lineam, diame&shy;<lb/>trum &longs;cilicet A C, &amp; latus quoduis ex quatuor, v. <!-- REMOVE S-->g. <lb/><!-- REMOVE S-->latus B C, pr&aelig;cis&egrave; omnino metiatur. </s>
 2085  
 2086 <s>&longs;unt diameter, &amp; latus eiu&longs;&shy;<lb/>dem quadrati, quia nulla pote&longs;t reperiri men&longs;ura quantumuis exigua, vti <lb/><figure place="text" xlink:href="figures-la/009.01.037.3.tif"/><lb/>e&longs;t lineola E, in pr&aelig;&longs;enti quadrato, etiam&longs;i illam in <lb/>infinitum &longs;ubdiuidas, qu&aelig; <expan abbr="vtranq;">vtranque</expan> lineam, diame&shy;<lb/>trum &longs;cilicet A C, &amp; latus quoduis ex quatuor, v. <!-- REMOVE S-->g. <lb/><!-- REMOVE S-->latus B C, pr&aelig;cis&egrave; omnino metiatur. </s> 
 2087  
 2088  
 2089  
 2090  <s>theorema <lb/>i&longs;tud demon&longs;tratur in vltima 10. Elem. eodem me&shy;<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"/>propo&longs;itionis, qu&aelig;fal&longs;a e&longs;t, nimirum &longs;uppo&longs;ito pr&aelig;dictas lineas e&longs;&longs;e comm. <lb/><!-- REMOVE S-->deducit ad impo&longs;&longs;ibile, &longs;iue, vt ait hic Ari&longs;t.
 2091  
 2092 <s>theorema <lb/>i&longs;tud demon&longs;tratur in vltima 10. Elem. eodem me&shy;<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"/>propo&longs;itionis, qu&aelig;fal&longs;a e&longs;t, nimirum &longs;uppo&longs;ito pr&aelig;dictas 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&shy;<lb/>licet idem numerus e&longs;&longs;et par, &amp; impar, quod Ari&longs;t. &longs;ignificat, quando ait, <lb/>imparia &aelig;qualia paribus fiunt. </s>
 2093  
 2094 fal&longs;um ratiocinatur, quod &longs;ci&shy;<lb/>licet idem numerus e&longs;&longs;et par, &amp; impar, quod Ari&longs;t. &longs;ignificat, quando ait, <lb/>imparia &aelig;qualia paribus fiunt. </s> 
 2095  
 2096  <s>ex quo ab&longs;urdo deducitur fal&longs;am e&longs;&longs;e pr&aelig;di&shy;<lb/>ctam &longs;uppo&longs;itionem, qu&aelig; a&longs;truebat e&longs;&longs;e comm. <!-- REMOVE S-->&amp; proinde altera pars con&shy;<lb/>tradictionis, qu&aelig; e&longs;t, e&longs;&longs;e incomm. <!-- REMOVE S-->vera a&longs;truitur. </s>
 2097  
 2098 <s>ex quo ab&longs;urdo deducitur fal&longs;am e&longs;&longs;e pr&aelig;di&shy;<lb/>ctam &longs;uppo&longs;itionem, qu&aelig; a&longs;truebat e&longs;&longs;e comm. <!-- REMOVE S-->&amp; proinde altera pars con&shy;<lb/>tradictionis, qu&aelig; e&longs;t, e&longs;&longs;e incomm. <!-- REMOVE S-->vera a&longs;truitur. </s> 
 2099  
 2100  
 2101  
 2102  <s>ex quibus &longs;atis videtur ex&shy;<lb/>plicari hic locus. </s>
 2103  
 2104 <s>ex quibus &longs;atis videtur ex&shy;<lb/>plicari hic locus. </s> <s>videas igitur, qu&agrave;m leuiter nonnulli no&longs;tr&aelig; tempe&longs;tatis <lb/>ageometreti i&longs;tud exponant, dicentes diametrum e&longs;&longs;e incomm. <!-- REMOVE S-->co&longs;t&aelig;, nihil <lb/>aliud &longs;igni&longs;icare, quam diametrum e&longs;&longs;e longiorem co&longs;ta, qua expo&longs;itione <lb/>nihil ineptius. </s>
 2105  
 2106 <s>videas igitur, qu&agrave;m leuiter nonnulli no&longs;tr&aelig; tempe&longs;tatis <lb/>ageometreti i&longs;tud exponant, dicentes diametrum e&longs;&longs;e incomm. <!-- REMOVE S-->co&longs;t&aelig;, nihil <lb/>aliud &longs;igni&longs;icare, quam diametrum e&longs;&longs;e longiorem co&longs;ta, qua expo&longs;itione <lb/>nihil ineptius. </s> 
 2107  
 2108  <s>Aduerte tandem figuram vulgat&aelig; editionis e&longs;&longs;e ineptam, <lb/>cum habeat duo quadrata alterum &longs;uper diametro alterius, quorum maius <lb/>&longs;uperuacaneum e&longs;t.</s></p><p type="main">
 2109  
 2110 <s>Aduerte tandem figuram vulgat&aelig; editionis e&longs;&longs;e ineptam, <lb/>cum habeat duo quadrata alterum &longs;uper diametro alterius, quorum maius <lb/>&longs;uperuacaneum e&longs;t.</s></p><p type="main"> <s><arrow.to.target n="marg6"/></s></p><p type="margin">
 2111  
 2112 <s><arrow.to.target n="marg6"/></s></p><p type="margin"> <s><margin.target id="marg6"/>6</s></p><p type="main">
 2113  
 2114 <s><margin.target id="marg6"/>6</s></p><p type="main"> <s>Et cap.
 2115  
 2116 <s>Et cap.  24. &longs;ecti primi libri primi <emph type="italics"/>(Sed magis efficitur manife&longs;tum in de&longs;cri&shy;<lb/>ptionibus, vt quod &aelig;quicruris, qui ad ba&longs;im &aelig;quales &longs;int, ad centrum duct&aelig; A B, <lb/>A C, &longs;i igitur &aelig;qualem accipiat A G, angulum ip&longs;i A B D, non omnino ex. </s>
 2117  
 2118 24. &longs;ecti primi libri primi <emph type="italics"/>(Sed magis efficitur manife&longs;tum in de&longs;cri&shy;<lb/>ptionibus, vt quod &aelig;quicruris, qui ad ba&longs;im &aelig;quales &longs;int, ad centrum duct&aelig; A B, <lb/>A C, &longs;i igitur &aelig;qualem accipiat A G, angulum ip&longs;i A B D, non omnino ex. </s> <s>&longs;timans <lb/>&aelig;quales, qui &longs;emicirculorum, &amp; rur&longs;us G, ip&longs;i D, non omnem a&longs;&longs;umens eum, qui &longs;e&shy;<lb/>cti. </s>
 2119  
 2120 <s>&longs;timans <lb/>&aelig;quales, qui &longs;emicirculorum, &amp; rur&longs;us G, ip&longs;i D, non omnem a&longs;&longs;umens eum, qui &longs;e&shy;<lb/>cti. </s> <s>amplius ab &aelig;qualibus existentibus totis angulis, &amp; ablatorum &aelig;quales e&longs;&longs;e re&shy;<lb/>tiquos E, F, quod ex principio petet, ni&longs;i acceperit ab &aelig;qualibus demptis &aelig;qualia <lb/>derelinqui.)<emph.end type="italics"/> Primum &longs;cias characteres vulgat&aelig; editionis, vna cum figura ip&shy;<lb/>&longs;is re&longs;pondente, e&longs;&longs;e mendo&longs;os; propterea ex textu gr&aelig;co vtrunque corri&shy;<lb/>gendum putaui in hunc, quem vidi&longs;ti modum. </s>
 2121  
 2122 <s>amplius ab &aelig;qualibus existentibus totis angulis, &amp; ablatorum &aelig;quales e&longs;&longs;e re&shy;<lb/>tiquos E, F, quod ex principio petet, ni&longs;i acceperit ab &aelig;qualibus demptis &aelig;qualia <lb/>derelinqui.)<emph.end type="italics"/> Primum &longs;cias characteres vulgat&aelig; editionis, vna cum figura ip&shy;<lb/>&longs;is re&longs;pondente, e&longs;&longs;e mendo&longs;os; propterea ex textu gr&aelig;co vtrunque corri&shy;<lb/>gendum putaui in hunc, quem vidi&longs;ti modum. </s> <s>Secundo, per de&longs;criptiones <lb/>Ari&longs;t.
 2123  
 2124 <s>Secundo, per de&longs;criptiones <lb/>Ari&longs;t.  intelligere <expan abbr="dem&otilde;&longs;trationes">demon&longs;trationes</expan> Geometricas &longs;upra diximus, quod ex hoc <lb/>loco euidenter confirmatur, vbi manife&longs;t&egrave; loco de&longs;criptionis &longs;upponit li&shy;<lb/>nearem demon&longs;trationem. </s>
 2125  
 2126 intelligere <expan abbr="dem&otilde;&longs;trationes">demon&longs;trationes</expan> Geometricas &longs;upra diximus, quod ex hoc <lb/>loco euidenter confirmatur, vbi manife&longs;t&egrave; loco de&longs;criptionis &longs;upponit li&shy;<lb/>nearem demon&longs;trationem. </s> <s>In hoc <expan abbr="itaq;">itaque</expan> exemplo vult Ari&longs;t.
 2127  
 2128 <s>In hoc <expan abbr="itaq;">itaque</expan> exemplo vult Ari&longs;t.  illud demon&shy;<lb/>&longs;trare, quod Euclides in 5. primi o&longs;tendit, alio tamen modo, &longs;cilicet I&longs;o&longs;ce&shy;<lb/>lium triangulorum, qui ad ba&longs;im &longs;unt anguli, inter &longs;e &longs;unt &aelig;quales. </s>
 2129  
 2130 illud demon&shy;<lb/>&longs;trare, quod Euclides in 5. primi o&longs;tendit, alio tamen modo, &longs;cilicet I&longs;o&longs;ce&shy;<lb/>lium triangulorum, qui ad ba&longs;im &longs;unt anguli, inter &longs;e &longs;unt &aelig;quales. </s> <s>e&longs;t au&shy;<lb/>tem figura in omnibus textibus deprauata, quam &longs;ic puto <expan abbr="r&egrave;&longs;t&imacr;tuendam">r&egrave;&longs;tintuendam</expan> e&longs;&longs;e <lb/>ex quodam gr&aelig;co codice, qui characteres hoc modo appo&longs;uerat. </s>
 2131  
 2132 <s>e&longs;t au&shy;<lb/>tem figura in omnibus textibus deprauata, quam &longs;ic puto <expan abbr="r&egrave;&longs;t&imacr;tuendam">r&egrave;&longs;tintuendam</expan> e&longs;&longs;e <lb/>ex quodam gr&aelig;co codice, qui characteres hoc modo appo&longs;uerat. </s> <s>&longs;it I&longs;o&longs;ce&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.038.1.tif"/><lb/>les C A B, cuius ba&longs;is C B, Dico angulos &longs;upra ba&longs;im, <lb/>in quibus liter&aelig; E F, e&longs;&longs;e inuicem &aelig;quales. </s>
 2133  
 2134 <s>&longs;it I&longs;o&longs;ce&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.038.1.tif"/><lb/>les C A B, cuius ba&longs;is C B, Dico angulos &longs;upra ba&longs;im, <lb/>in quibus liter&aelig; E F, e&longs;&longs;e inuicem &aelig;quales. </s> <s>facto centro <lb/>in A, de&longs;cribatur circulus A B C, tran&longs;iens per puncta <lb/>C B, iam &longs;ic. </s>
 2135  
 2136 <s>facto centro <lb/>in A, de&longs;cribatur circulus A B C, tran&longs;iens per puncta <lb/>C B, iam &longs;ic. </s> <s>omnes anguli &longs;emicirculi &longs;unt &aelig;quales in&shy;<lb/>ter &longs;e, ergo anguli A C G, A B D, &longs;unt &aelig;quales. </s>
 2137  
 2138 <s>omnes anguli &longs;emicirculi &longs;unt &aelig;quales in&shy;<lb/>ter &longs;e, ergo anguli A C G, A B D, &longs;unt &aelig;quales. </s> <s>Pr&aelig;te&shy;<lb/>rea c&ugrave;m anguli ciu&longs;dem &longs;ectionis &longs;int &aelig;quales ad inui&shy;<lb/>cem, erunt anguli &longs;ectionis C B D G, nimirum anguli, <lb/>in quibus &longs;unt G, &amp; D, inter &longs;e &aelig;quales: <expan abbr="cum&qacute;">cumque</expan>; hi duo <lb/>anguli &longs;ectionis &longs;int partes <expan abbr="angulor&utilde;">angulorum</expan> &longs;emicirculi A C G, <lb/>A B D, &longs;i illi ab his auferantur, auferuntur &aelig;quales anguli ab &aelig;qualibus an&shy;<lb/>gulis, ergo anguli, qui remanent, &longs;cilicet E, &amp; F, erunt &aelig;quales, quod erat <lb/>demon&longs;trandum. </s>
 2139  
 2140 <s>Pr&aelig;te&shy;<lb/>rea c&ugrave;m anguli ciu&longs;dem &longs;ectionis &longs;int &aelig;quales ad inui&shy;<lb/>cem, erunt anguli &longs;ectionis C B D G, nimirum anguli, <lb/>in quibus &longs;unt G, &amp; D, inter &longs;e &aelig;quales: <expan abbr="cum&qacute;">cumque</expan>; hi duo <lb/>anguli &longs;ectionis &longs;int partes <expan abbr="angulor&utilde;">angulorum</expan> &longs;emicirculi A C G, <lb/>A B D, &longs;i illi ab his auferantur, auferuntur &aelig;quales anguli ab &aelig;qualibus an&shy;<lb/>gulis, ergo anguli, qui remanent, &longs;cilicet E, &amp; F, erunt &aelig;quales, quod erat <lb/>demon&longs;trandum. </s> <s>hinc Ari&longs;t.
 2141  
 2142 <s>hinc Ari&longs;t.  infert manife&longs;tum e&longs;&longs;e oportere in omni &longs;yllo&shy;<lb/>gi&longs;mo, reperiri vniuer&longs;ales, &amp; affirmatiuas propo&longs;itiones, vt Factum e&longs;t in <lb/>pr&aelig;cedenti aliter e&longs;&longs;et petitio principij. </s>
 2143  
 2144 infert manife&longs;tum e&longs;&longs;e oportere in omni &longs;yllo&shy;<lb/>gi&longs;mo, reperiri vniuer&longs;ales, &amp; affirmatiuas propo&longs;itiones, vt Factum e&longs;t in <lb/>pr&aelig;cedenti aliter e&longs;&longs;et petitio principij. </s> <s>Qu&aelig;nam vero &longs;it &aelig;qualitas, quam <lb/>Geometr&aelig; con&longs;iderant, infra cap. 1. &longs;ecti 3. explicabicur.</s></p><p type="main">
 2145  
 2146 <s>Qu&aelig;nam vero &longs;it &aelig;qualitas, quam <lb/>Geometr&aelig; con&longs;iderant, infra cap. 1. &longs;ecti 3. explicabicur.</s></p><p type="main"> <s><arrow.to.target n="marg7"/></s></p><p type="margin">
 2147  
 2148 <s><arrow.to.target n="marg7"/></s></p><p type="margin"> <s><margin.target id="marg7"/>7</s></p><p type="main">
 2149  
 2150 <s><margin.target id="marg7"/>7</s></p><p type="main"> <s>Ex cap.
 2151  
 2152 <s>Ex cap.  2. &longs;ecti 2. lib.
 2153  
 2154 2. &longs;ecti 2. lib.  1. <emph type="italics"/>(Secundum veritatem quidem ex ijs, qu&aelig; &longs;ecundum <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, qu&aelig; <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> veritatem de&longs;cribuntur <pb pagenum="39"/>ine&longs;&longs;e; &longs;ic gr&aelig;c&egrave;, <foreign lang="greek">e/a tw_n xata\ aleiq/ei/an diagegramme/non,</foreign> vbi manife&longs;t&egrave; vtitur <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&shy;<lb/>quentibus verbis, cum dixit (ad diale cticos autem &longs;yllogi&longs;mos ex propo&longs;i&shy;<lb/>tionibus &longs;ecundum opinionem) hac adhibita con&longs;ideratione, quam inter&shy;<lb/>pres non videtur adhibui&longs;&longs;e, &longs;en&longs;us huius loci non erit ob&longs;curus.</s></p><p type="main">
 2155  
 2156 1. <emph type="italics"/>(Secundum veritatem quidem ex ijs, qu&aelig; &longs;ecundum <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, qu&aelig; <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> veritatem de&longs;cribuntur <pb pagenum="39"/>ine&longs;&longs;e; &longs;ic gr&aelig;c&egrave;, <foreign lang="greek">e/a tw_n xata\ aleiq/ei/an diagegramme/non,</foreign> vbi manife&longs;t&egrave; vtitur <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&shy;<lb/>quentibus verbis, cum dixit (ad diale cticos autem &longs;yllogi&longs;mos ex propo&longs;i&shy;<lb/>tionibus &longs;ecundum opinionem) hac adhibita con&longs;ideratione, quam inter&shy;<lb/>pres non videtur adhibui&longs;&longs;e, &longs;en&longs;us huius loci non erit ob&longs;curus.</s></p><p type="main"> <s><arrow.to.target n="marg8"/></s></p><p type="margin">
 2157  
 2158 <s><arrow.to.target n="marg8"/></s></p><p type="margin"> <s><margin.target id="marg8"/>8</s></p><p type="main">
 2159  
 2160 <s><margin.target id="marg8"/>8</s></p><p type="main"> <s>Ex eodem loco paulo po&longs;t <emph type="italics"/>(Quare principia quidem, qu&aelig; &longs;ecundum <expan abbr="vnum-quodq;">vnum&shy;<lb/>quodque</expan> &longs;unt experimenti est tradere: dico autem, vt a&longs;trologicam experientiam <lb/>a&longs;trologic&aelig; &longs;cienti&aelig;: acceptis enim apparentibus <expan abbr="&longs;uffici&etilde;ter">&longs;ufficienter</expan>, ita inuent&aelig; &longs;unt a&longs;tro&shy;<lb/>logic&aelig; demonstrationes)<emph.end type="italics"/> Cum rationem tradat inueniendorum mediorum ad <lb/>quodlibet problema demon&longs;trandum; nunc docet, non omnia in &longs;eientijs <lb/>po&longs;&longs;e probari, aut demou&longs;trari: principia enim &longs;cientiarum <expan abbr="n&otilde;">non</expan> demon&longs;tran&shy;<lb/>tur, &longs;ed &longs;ola experientia manife&longs;ta &longs;unt; vt patet in A&longs;tronomia, qu&aelig; ab ex&shy;<lb/>perientia &longs;ua &longs;olet &longs;tabilire principia: principijs autem <expan abbr="experim&etilde;to">experimento</expan> con&longs;ti&shy;<lb/>tutis ex ip&longs;is reliqua problemata <expan abbr="demon&longs;tr&atilde;tur">demon&longs;trantur</expan>. </s>
 2161  
 2162 <s>Ex eodem loco paulo po&longs;t <emph type="italics"/>(Quare principia quidem, qu&aelig; &longs;ecundum <expan abbr="vnum-quodq;">vnum&shy;<lb/>quodque</expan> &longs;unt experimenti est tradere: dico autem, vt a&longs;trologicam experientiam <lb/>a&longs;trologic&aelig; &longs;cienti&aelig;: acceptis enim apparentibus <expan abbr="&longs;uffici&etilde;ter">&longs;ufficienter</expan>, ita inuent&aelig; &longs;unt a&longs;tro&shy;<lb/>logic&aelig; demonstrationes)<emph.end type="italics"/> Cum rationem tradat inueniendorum mediorum ad <lb/>quodlibet problema demon&longs;trandum; nunc docet, non omnia in &longs;eientijs <lb/>po&longs;&longs;e probari, aut demou&longs;trari: principia enim &longs;cientiarum <expan abbr="n&otilde;">non</expan> demon&longs;tran&shy;<lb/>tur, &longs;ed &longs;ola experientia manife&longs;ta &longs;unt; vt patet in A&longs;tronomia, qu&aelig; ab ex&shy;<lb/>perientia &longs;ua &longs;olet &longs;tabilire principia: principijs autem <expan abbr="experim&etilde;to">experimento</expan> con&longs;ti&shy;<lb/>tutis ex ip&longs;is reliqua problemata <expan abbr="demon&longs;tr&atilde;tur">demon&longs;trantur</expan>. </s> <s>duo autem &longs;unt apud a&longs;tro&shy;<lb/>nomos genera experimenti, primum dicitur Ph&aelig;nomena, ide&longs;t, <expan abbr="appar&etilde;ti&aelig;">apparenti&aelig;</expan>; <lb/>&amp; &longs;unt ea, qu&aelig; vulgo omnibus patent, vt Solem oriri, &amp; occidere; a&longs;tra fer&shy;<lb/>ri circulariter, diem augeri modo, modo minui: &amp; his &longs;imilia. </s>
 2163  
 2164 <s>duo autem &longs;unt apud a&longs;tro&shy;<lb/>nomos genera experimenti, primum dicitur Ph&aelig;nomena, ide&longs;t, <expan abbr="appar&etilde;ti&aelig;">apparenti&aelig;</expan>; <lb/>&amp; &longs;unt ea, qu&aelig; vulgo omnibus patent, vt Solem oriri, &amp; occidere; a&longs;tra fer&shy;<lb/>ri circulariter, diem augeri modo, modo minui: &amp; his &longs;imilia. </s> <s>alterum ge&shy;<lb/>nus dicitur ob&longs;eruationes, qu&aelig; tantummodo a&longs;tronomi&aelig; peritis per ob&longs;er&shy;<lb/>uationem innote&longs;cunt, vt Solem in&aelig;qualiter ferri proprio motu per Zodia&shy;<lb/>cum; aliquando maiorem, aliquando minorem videri; plures dies immo&shy;<lb/>rari citra &aelig;quatiorem in parte Zodiaci boreali, quam in altera vltra &aelig;qua&shy;<lb/>torem au&longs;trali. </s>
 2165  
 2166 <s>alterum ge&shy;<lb/>nus dicitur ob&longs;eruationes, qu&aelig; tantummodo a&longs;tronomi&aelig; peritis per ob&longs;er&shy;<lb/>uationem innote&longs;cunt, vt Solem in&aelig;qualiter ferri proprio motu per Zodia&shy;<lb/>cum; aliquando maiorem, aliquando minorem videri; plures dies immo&shy;<lb/>rari citra &aelig;quatiorem in parte Zodiaci boreali, quam in altera vltra &aelig;qua&shy;<lb/>torem au&longs;trali. </s> <s>dies naturales e&longs;&longs;e inuicem in&aelig;quales, &amp;c. </s>
 2167  
 2168 <s>dies naturales e&longs;&longs;e inuicem in&aelig;quales, &amp;c. </s> <s>ex quibus deinde <lb/>ponunt eccentricos, &amp; augem, ad &longs;aluandas tum apparentias, tum ob&longs;erua&shy;<lb/>tiones; &amp; hac ratione a&longs;trologica &longs;cientia paulatim reperta e&longs;t, ac in dies <lb/>reperitur.</s></p><p type="main">
 2169  
 2170 <s>ex quibus deinde <lb/>ponunt eccentricos, &amp; augem, ad &longs;aluandas tum apparentias, tum ob&longs;erua&shy;<lb/>tiones; &amp; hac ratione a&longs;trologica &longs;cientia paulatim reperta e&longs;t, ac in dies <lb/>reperitur.</s></p><p type="main"> <s><arrow.to.target n="marg9"/></s></p><p type="margin">
 2171  
 2172 <s><arrow.to.target n="marg9"/></s></p><p type="margin"> <s><margin.target id="marg9"/>9</s></p><p type="main">
 2173  
 2174 <s><margin.target id="marg9"/>9</s></p><p type="main"> <s>Ex cap.
 2175  
 2176 <s>Ex cap.  3. &longs;ecti 2. lib.
 2177  
 2178 3. &longs;ecti 2. lib.  1. <emph type="italics"/>(Vt an ne diameter incomm.)<emph.end type="italics"/> loquitur de a&longs;ymme&shy;<lb/>tria diametri, &amp; co&longs;t&aelig; eiu&longs;dem quadrati, de qua fus&egrave; egimus &longs;uperius in <lb/>cap.
 2179  
 2180 1. <emph type="italics"/>(Vt an ne diameter incomm.)<emph.end type="italics"/> loquitur de a&longs;ymme&shy;<lb/>tria diametri, &amp; co&longs;t&aelig; eiu&longs;dem quadrati, de qua fus&egrave; egimus &longs;uperius in <lb/>cap.  23. &longs;ecti 1. huius libri; qu&aelig; &longs;i repetantur, optim&egrave; hunc <expan abbr="loc&utilde;">locum</expan> declarant.</s></p><p type="main">
 2181  
 2182 23. &longs;ecti 1. huius libri; qu&aelig; &longs;i repetantur, optim&egrave; hunc <expan abbr="loc&utilde;">locum</expan> declarant.</s></p><p type="main"> <s><arrow.to.target n="marg10"/></s></p><p type="margin">
 2183  
 2184 <s><arrow.to.target n="marg10"/></s></p><p type="margin"> <s><margin.target id="marg10"/>10</s></p><p type="main">
 2185  
 2186 <s><margin.target id="marg10"/>10</s></p><p type="main"> <s>Ex cap.
 2187  
 2188 <s>Ex cap.  1. &longs;ecti 3. lib.
 2189  
 2190 1. &longs;ecti 3. lib.  1. <emph type="italics"/>(Sit A, duo recti, in quo B, triangulus, in quo C, <lb/>&aelig;quicrus, 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/>v&longs;urpat Philo&longs;ophus, quam i&longs;tud ex Mathematicis de&longs;umptum de triangu&shy;<lb/>lo, &longs;cilicet, omnis triangulus habet tres angulos &aelig;quales duobus rectis an&shy;<lb/>gulis, cuius Demon&longs;tratio e&longs;t in 32. primi Elem.
 2191  
 2192 1. <emph type="italics"/>(Sit A, duo recti, in quo B, triangulus, in quo C, <lb/>&aelig;quicrus, 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/>v&longs;urpat Philo&longs;ophus, quam i&longs;tud ex Mathematicis de&longs;umptum de triangu&shy;<lb/>lo, &longs;cilicet, omnis triangulus habet tres angulos &aelig;quales duobus rectis an&shy;<lb/>gulis, cuius Demon&longs;tratio e&longs;t in 32. primi Elem.  quod, vt prob&egrave; intelliga&shy;<lb/>tur, explicandum e&longs;t penes quid attendenda &longs;it &aelig;qualitas inter angulum, &amp; <lb/>angulum, quod facile a&longs;&longs;equemur, &longs;i meminerimus angulum e&longs;&longs;e in clinatio&shy;<lb/>nem illam, quam du&aelig; line&aelig; non in directum po&longs;it&aelig; faciunt: &longs;iue etiam (vt <lb/>melius percipiamus) angulum e&longs;&longs;e acumen illud, &longs;iue mucronem <expan abbr="ill&utilde;">illum</expan>, quem <lb/>du&aelig; line&aelig; non in directum con&longs;titut&aelig; faciunt, vt duarum linearum A B, A C, <lb/><figure place="text" xlink:href="figures-la/009.01.039.1.tif"/><lb/>inclinatio in puncto A, &longs;iue acumen illud, &longs;iue mucro, <lb/>e&longs;t ratio anguli. </s>
 2193  
 2194 quod, vt prob&egrave; intelliga&shy;<lb/>tur, explicandum e&longs;t penes quid attendenda &longs;it &aelig;qualitas inter angulum, &amp; <lb/>angulum, quod facile a&longs;&longs;equemur, &longs;i meminerimus angulum e&longs;&longs;e in clinatio&shy;<lb/>nem illam, quam du&aelig; line&aelig; non in directum po&longs;it&aelig; faciunt: &longs;iue etiam (vt <lb/>melius percipiamus) angulum e&longs;&longs;e acumen illud, &longs;iue mucronem <expan abbr="ill&utilde;">illum</expan>, quem <lb/>du&aelig; line&aelig; non in directum con&longs;titut&aelig; faciunt, vt duarum linearum A B, A C, <lb/><figure place="text" xlink:href="figures-la/009.01.039.1.tif"/><lb/>inclinatio in puncto A, &longs;iue acumen illud, &longs;iue mucro, <lb/>e&longs;t ratio anguli. </s> <s>&longs;olum igitur duo anguli erunt &aelig;qua&shy;<lb/>les, <expan abbr="qu&atilde;do">quando</expan> vnius acumen &aelig;quale erit acumini alterius; <lb/>etiam &longs;i line&aelig; con&longs;tituentes vnum angulum &longs;int lon&shy;<lb/>giores lineis alterum angulum con&longs;tituentibus, quia <lb/>quantitas anguli non attenditur penes longitudinem <pb pagenum="40"/><expan abbr="linear&utilde;">linearum</expan>, &longs;ed penes inclinationem, &amp; mucronem, quem faciunt: vnde etiam&longs;i <lb/>du&aelig; line&aelig; pr&aelig;dict&aelig; A B, A C, product&aelig;, &longs;iue etiam decurtat&aelig; fuerint, dum&shy;<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>
 2195  
 2196 <s>&longs;olum igitur duo anguli erunt &aelig;qua&shy;<lb/>les, <expan abbr="qu&atilde;do">quando</expan> vnius acumen &aelig;quale erit acumini alterius; <lb/>etiam &longs;i line&aelig; con&longs;tituentes vnum angulum &longs;int lon&shy;<lb/>giores lineis alterum angulum con&longs;tituentibus, quia <lb/>quantitas anguli non attenditur penes longitudinem <pb pagenum="40"/><expan abbr="linear&utilde;">linearum</expan>, &longs;ed penes inclinationem, &amp; mucronem, quem faciunt: vnde etiam&longs;i <lb/>du&aelig; line&aelig; pr&aelig;dict&aelig; A B, A C, product&aelig;, &longs;iue etiam decurtat&aelig; fuerint, dum&shy;<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> <s>Aduertendum pr&aelig;terea rationem <lb/>anguli non po&longs;&longs;e &longs;aluari in &longs;olo puncto A, in quo line&aelig; concurrunt, &longs;ed ne&shy;<lb/>ce&longs;&longs;ariam e&longs;&longs;e aliquam quantitatem, quamuis exiguam, linearum A B, A C. <lb/><!-- KEEP S--></s>
 2197  
 2198 <s>Aduertendum pr&aelig;terea rationem <lb/>anguli non po&longs;&longs;e &longs;aluari in &longs;olo puncto A, in quo line&aelig; concurrunt, &longs;ed ne&shy;<lb/>ce&longs;&longs;ariam e&longs;&longs;e aliquam quantitatem, quamuis exiguam, linearum A B, A C. <lb/><!-- KEEP S--></s> <s>Notandum etiam, quod in nominatione angulorum, qu&aelig; fit per tres lite&shy;<lb/>ras, &longs;emper literam illam e&longs;&longs;e medio loco proferendam, qu&aelig; ad acumen ip&shy;<lb/>&longs;um po&longs;ita e&longs;t, vt in &longs;uperiori, litera A, debet &longs;emper media proferri, dicen&shy;<lb/>do angulum B A C, &longs;iue C A B, <expan abbr="n&utilde;quam">nunquam</expan> tamen licet dicere angulum A C B, <lb/>vel C B A. <!-- KEEP S--></s>
 2199  
 2200 <s>Notandum etiam, quod in nominatione angulorum, qu&aelig; fit per tres lite&shy;<lb/>ras, &longs;emper literam illam e&longs;&longs;e medio loco proferendam, qu&aelig; ad acumen ip&shy;<lb/>&longs;um po&longs;ita e&longs;t, vt in &longs;uperiori, litera A, debet &longs;emper media proferri, dicen&shy;<lb/>do angulum B A C, &longs;iue C A B, <expan abbr="n&utilde;quam">nunquam</expan> tamen licet dicere angulum A C B, <lb/>vel C B A. <!-- KEEP S--></s> <s>Porr&ograve; quemadmodum vnus angulus vni angulo &aelig;qualis e&longs;t, ita <lb/><expan abbr="aliqu&atilde;do">aliquando</expan> duo anguli &longs;unt vni angulo &aelig;quales, vt patet, &longs;i vnus angulus, v.g. <lb/><!-- REMOVE S-->angulus B A C, diuidatur in duos angulos &agrave; linea A D. tunc enim duo angu&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.040.1.tif"/><lb/>li partiales B A D, D A C, erunt &aelig;quales totali angulo <lb/>B A C, cum partes omnes &longs;imul &longs;umpt&aelig; &longs;int &longs;uo toti &aelig;qua&shy;<lb/>les. </s>
 2201  
 2202 <s>Porr&ograve; quemadmodum vnus angulus vni angulo &aelig;qualis e&longs;t, ita <lb/><expan abbr="aliqu&atilde;do">aliquando</expan> duo anguli &longs;unt vni angulo &aelig;quales, vt patet, &longs;i vnus angulus, v.g. <lb/><!-- REMOVE S-->angulus B A C, diuidatur in duos angulos &agrave; linea A D. tunc enim duo angu&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.040.1.tif"/><lb/>li partiales B A D, D A C, erunt &aelig;quales totali angulo <lb/>B A C, cum partes omnes &longs;imul &longs;umpt&aelig; &longs;int &longs;uo toti &aelig;qua&shy;<lb/>les. </s> 
 2203  
 2204  <s>pariter tres anguli po&longs;&longs;unt &aelig;quari &amp; vni, &amp; duobus <lb/>alijs angulis, quando nimirum a cumina, &longs;iue mucrones il&shy;<lb/>li &longs;imul ad vnum punctum con&longs;tituti <expan abbr="ad&aelig;quar&etilde;tur">ad&aelig;quarentur</expan> mucro&shy;<lb/>niilli, 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/><figure place="text" xlink:href="figures-la/009.01.040.2.tif"/><lb/>quos linea perpendicularis D E, facit cum li&shy;<lb/>nea F G; &longs;it <expan abbr="inqu&atilde;">inquam</expan> anguli recti D E F, D E G, <lb/>tunc tres anguli illius <expan abbr="tri&atilde;guli">trianguli</expan> <expan abbr="dic&etilde;tur">dicentur</expan> &aelig;qua&shy;<lb/>les duobus hi&longs;ce rectis, &longs;i tres illi mucrones <lb/>trianguli fimul &longs;umpti, &amp; vniti ad punctum <lb/>E, ad quod duo <expan abbr="quoq;">quoque</expan> mucrones angulorum <lb/><figure place="text" xlink:href="figures-la/009.01.040.3.tif"/><lb/>rectorum coeunt, congruent omnino duobus <lb/>pr&aelig;dictis angulis rectis, &longs;iue duobus illis mu&shy;<lb/>cronibus angulorum rectorum, &longs;iue con&longs;ti&shy;<lb/>tuent lineam rectam F E G, &longs;icuti faciunt <lb/>etiam duo illi anguli recti; &longs;iue etiam dica&shy;<lb/>mus, occupabunt idem &longs;patium omnin&ograve;, &amp; <lb/>pr&aelig;cis&egrave;, quod occupant duo recti: v.g. <!-- REMOVE S-->&longs;i mucro B, ibi poneretur, faceret <lb/>angulum F E H, &amp; &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-qu&utilde;">reli&shy;<lb/>quum</expan> angulum I E G. iam, vt vides, illi tres anguli ad E, tran&longs;lati, &longs;unt &aelig;qua&shy;<lb/>les duobus rectis ad E, pariter con&longs;titutis, cum illi tres fiant partes duorum <lb/>rector&uacute;, vel quia occupant idem &longs;patium, vel eandem lineam rectam F E G, <lb/>con&longs;tituant. </s>
 2205  
 2206 <s>pariter tres anguli po&longs;&longs;unt &aelig;quari &amp; vni, &amp; duobus <lb/>alijs angulis, quando nimirum a cumina, &longs;iue mucrones il&shy;<lb/>li &longs;imul ad vnum punctum con&longs;tituti <expan abbr="ad&aelig;quar&etilde;tur">ad&aelig;quarentur</expan> mucro&shy;<lb/>niilli, 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/><figure place="text" xlink:href="figures-la/009.01.040.2.tif"/><lb/>quos linea perpendicularis D E, facit cum li&shy;<lb/>nea F G; &longs;it <expan abbr="inqu&atilde;">inquam</expan> anguli recti D E F, D E G, <lb/>tunc tres anguli illius <expan abbr="tri&atilde;guli">trianguli</expan> <expan abbr="dic&etilde;tur">dicentur</expan> &aelig;qua&shy;<lb/>les duobus hi&longs;ce rectis, &longs;i tres illi mucrones <lb/>trianguli fimul &longs;umpti, &amp; vniti ad punctum <lb/>E, ad quod duo <expan abbr="quoq;">quoque</expan> mucrones angulorum <lb/><figure place="text" xlink:href="figures-la/009.01.040.3.tif"/><lb/>rectorum coeunt, congruent omnino duobus <lb/>pr&aelig;dictis angulis rectis, &longs;iue duobus illis mu&shy;<lb/>cronibus angulorum rectorum, &longs;iue con&longs;ti&shy;<lb/>tuent lineam rectam F E G, &longs;icuti faciunt <lb/>etiam duo illi anguli recti; &longs;iue etiam dica&shy;<lb/>mus, occupabunt idem &longs;patium omnin&ograve;, &amp; <lb/>pr&aelig;cis&egrave;, quod occupant duo recti: v.g. <!-- REMOVE S-->&longs;i mucro B, ibi poneretur, faceret <lb/>angulum F E H, &amp; &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-qu&utilde;">reli&shy;<lb/>quum</expan> angulum I E G. iam, vt vides, illi tres anguli ad E, tran&longs;lati, &longs;unt &aelig;qua&shy;<lb/>les duobus rectis ad E, pariter con&longs;titutis, cum illi tres fiant partes duorum <lb/>rector&uacute;, vel quia occupant idem &longs;patium, vel eandem lineam rectam F E G, <lb/>con&longs;tituant. </s> 
 2207  
 2208  
 2209  
 2210  <s>habet igitur omne triangulum &longs;iue &ecedil;quilaterum, &longs;iue &longs;calenum, <lb/>&longs;iue I&longs;o&longs;celes mirabilem hanc proprietatem, vt tres anguli, cuiu&longs;uis trian&shy;<lb/>guli &longs;int &aelig;quales duobus rectis angulis. </s>
 2211  
 2212 <s>habet igitur omne triangulum &longs;iue &ecedil;quilaterum, &longs;iue &longs;calenum, <lb/>&longs;iue I&longs;o&longs;celes mirabilem hanc proprietatem, vt tres anguli, cuiu&longs;uis trian&shy;<lb/>guli &longs;int &aelig;quales duobus rectis angulis. </s> <s>Quam demon&longs;trationem primi om&shy;<lb/>nium Pythagorici perfecerunt, vt refert Proclus ad 32. primi Elem. Eucli&shy;<lb/>des deinde ibidem aliter, quam Pythagorici idem demon&longs;trauit. </s>
 2213  
 2214 <s>Quam demon&longs;trationem primi om&shy;<lb/>nium Pythagorici perfecerunt, vt refert Proclus ad 32. primi Elem. Eucli&shy;<lb/>des deinde ibidem aliter, quam Pythagorici idem demon&longs;trauit. </s> <s>Quod &longs;i <lb/>quis huius rei <expan abbr="experi&etilde;tiam">experientiam</expan> aliquam velit; etiam&longs;i non exactam (cum &aelig;qua&shy;<lb/>litas mathematica non cadat &longs;ub &longs;en&longs;um, &longs;ed &longs;ola intelligentia percipiatur, <lb/>quippe qu&aelig; in materia intelligibili, non autem &longs;en&longs;ibili ver&longs;atur, &amp; cuius <pb pagenum="41"/>&aelig;qualitas nullum di&longs;crimen, quantumuis minimum admittat, quod &longs;en&longs;ui <lb/>vitare ob &longs;ui imperfectionem non licet: vnde inter e&aelig;, qu&aelig; mathematic&egrave; <lb/>&longs;unt &aelig;qualia, nullus intellectus aliquam valeat reperire differentiam) &longs;umat <lb/>inquam triangulum quodpiam materiale, vt ex charta, quantum fieri po&shy;<lb/>ce&longs;t perfectum, deinde ducat lineam vnam perpendicularem &longs;uper aliam, <lb/>qu&aelig; &longs;cilicet faciat, cum illa duos angulos rectos. </s>
 2215  
 2216 <s>Quod &longs;i <lb/>quis huius rei <expan abbr="experi&etilde;tiam">experientiam</expan> aliquam velit; etiam&longs;i non exactam (cum &aelig;qua&shy;<lb/>litas mathematica non cadat &longs;ub &longs;en&longs;um, &longs;ed &longs;ola intelligentia percipiatur, <lb/>quippe qu&aelig; in materia intelligibili, non autem &longs;en&longs;ibili ver&longs;atur, &amp; cuius <pb pagenum="41"/>&aelig;qualitas nullum di&longs;crimen, quantumuis minimum admittat, quod &longs;en&longs;ui <lb/>vitare ob &longs;ui imperfectionem non licet: vnde inter e&aelig;, qu&aelig; mathematic&egrave; <lb/>&longs;unt &aelig;qualia, nullus intellectus aliquam valeat reperire differentiam) &longs;umat <lb/>inquam triangulum quodpiam materiale, vt ex charta, quantum fieri po&shy;<lb/>ce&longs;t perfectum, deinde ducat lineam vnam perpendicularem &longs;uper aliam, <lb/>qu&aelig; &longs;cilicet faciat, cum illa duos angulos rectos. </s> <s>po&longs;tea ab&longs;cindat tres an&shy;<lb/>gulos trianguli materialis, <expan abbr="eos&qacute;">eosque</expan>; ita &longs;imul componat, vt mucrones illorum <lb/>&longs;int vniti, &amp; contigui ad punctum line&aelig; perpendicularis cum altera, vti e&longs;t <lb/>in &longs;uperiori figura punctnm E; &amp; illic&ograve; apparebit tres illos angulos mate&shy;<lb/>riales obtegere ad&aelig;quat&egrave; totum illud &longs;patium duorum rectorum, quos per&shy;<lb/>pendicularis con&longs;tituit. </s>
 2217  
 2218 <s>po&longs;tea ab&longs;cindat tres an&shy;<lb/>gulos trianguli materialis, <expan abbr="eos&qacute;">eosque</expan>; ita &longs;imul componat, vt mucrones illorum <lb/>&longs;int vniti, &amp; contigui ad punctum line&aelig; perpendicularis cum altera, vti e&longs;t <lb/>in &longs;uperiori figura punctnm E; &amp; illic&ograve; apparebit tres illos angulos mate&shy;<lb/>riales obtegere ad&aelig;quat&egrave; totum illud &longs;patium duorum rectorum, quos per&shy;<lb/>pendicularis con&longs;tituit. </s> <s>Hoc autem experiri poteris in diuer&longs;is admodum <lb/>triangulis Scalenis, Rectangulis, I&longs;o&longs;celibus, Aequilateris, &amp;c. </s>
 2219  
 2220 <s>Hoc autem experiri poteris in diuer&longs;is admodum <lb/>triangulis Scalenis, Rectangulis, I&longs;o&longs;celibus, Aequilateris, &amp;c. </s> <s>non &longs;ine de&shy;<lb/>lectatione, atque hic e&longs;t &longs;en&longs;us illorum verborum, omnis triangulus habet <lb/>tres &ecedil;quales duobus rectis. </s>
 2221  
 2222 <s>non &longs;ine de&shy;<lb/>lectatione, atque hic e&longs;t &longs;en&longs;us illorum verborum, omnis triangulus habet <lb/>tres &ecedil;quales duobus rectis. </s> <s>Ab&longs;tineo &agrave; demon&longs;trationibus geometricis, quo&shy;<lb/>niam ij, qui Mathematicis &longs;unt imbuti, no&longs;tra hac opera parum indigent. <lb/></s>
 2223  
 2224 <s>Ab&longs;tineo &agrave; demon&longs;trationibus geometricis, quo&shy;<lb/>niam ij, qui Mathematicis &longs;unt imbuti, no&longs;tra hac opera parum indigent. <lb/></s> <s>&longs;i quis tamen volet, con&longs;ulat 32. primi Elem. <!-- KEEP S--></s>
 2225  
 2226 <s>&longs;i quis tamen volet, con&longs;ulat 32. primi Elem. <!-- KEEP S--></s> <s>Ex hac igitur declaratione <lb/>licet cogno&longs;cere nonnullos ageometretos locum hunc, &amp; &longs;imiles &longs;ub&longs;equen&shy;<lb/>tes non &longs;atis intelligere, dicentes, nihil aliud verba illa Ari&longs;t.
 2227  
 2228 <s>Ex hac igitur declaratione <lb/>licet cogno&longs;cere nonnullos ageometretos locum hunc, &amp; &longs;imiles &longs;ub&longs;equen&shy;<lb/>tes non &longs;atis intelligere, dicentes, nihil aliud verba illa Ari&longs;t.  velle &longs;ignifi&shy;<lb/>care, qu&agrave;m omnem triangulum habere tres angulos, quod inquiunt, noti&longs;&shy;<lb/>&longs;imum e&longs;t. </s>
 2229  
 2230 velle &longs;ignifi&shy;<lb/>care, qu&agrave;m omnem triangulum habere tres angulos, quod inquiunt, noti&longs;&shy;<lb/>&longs;imum e&longs;t. </s> <s>Sed &longs;i incidant in &longs;equentia; &aelig;quales duobus rectis, tunc, cum <lb/>h&aelig;c non intelligant, ab&longs;tinent etiam &agrave; priorum declaratione, quibus pr&aelig;&shy;<lb/>mi&longs;&longs;is facile e&longs;t Ari&longs;t.
 2231  
 2232 <s>Sed &longs;i incidant in &longs;equentia; &aelig;quales duobus rectis, tunc, cum <lb/>h&aelig;c non intelligant, ab&longs;tinent etiam &agrave; priorum declaratione, quibus pr&aelig;&shy;<lb/>mi&longs;&longs;is facile e&longs;t Ari&longs;t.  textum percipere. </s>
 2233  
 2234 textum percipere. </s> <s>&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, &aelig;quicrus. </s>
 2235  
 2236 <s>&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, &aelig;quicrus. </s> <s>ip&longs;i <lb/>itaque C, ide&longs;t triangulo &aelig;quicru&longs;i, ine&longs;t A, &longs;cilicet duo recti, hoc e&longs;t, ine&longs;t <lb/>&aelig;quicru&longs;i h&aelig;c, pa&longs;&longs;io habere tres angulos &aelig;quales duobus rectis per B, ide&longs;t <lb/>per <expan abbr="triangul&utilde;">triangulum</expan> vniuer&longs;ale, quia h&aelig;c proprietas e&longs;t trianguli propria, &amp; <expan abbr="c&otilde;pe-tit">compe&shy;<lb/>tit</expan> &aelig;quicru&longs;i, non vt &aelig;quicrus e&longs;t, &longs;ed, vt triangulum e&longs;t; quare B, non crit <lb/>medium ip&longs;ius A, quia pr&aelig;dicta pa&longs;&longs;io. </s>
 2237  
 2238 <s>ip&longs;i <lb/>itaque C, ide&longs;t triangulo &aelig;quicru&longs;i, ine&longs;t A, &longs;cilicet duo recti, hoc e&longs;t, ine&longs;t <lb/>&aelig;quicru&longs;i h&aelig;c, pa&longs;&longs;io habere tres angulos &aelig;quales duobus rectis per B, ide&longs;t <lb/>per <expan abbr="triangul&utilde;">triangulum</expan> vniuer&longs;ale, quia h&aelig;c proprietas e&longs;t trianguli propria, &amp; <expan abbr="c&otilde;pe-tit">compe&shy;<lb/>tit</expan> &aelig;quicru&longs;i, non vt &aelig;quicrus e&longs;t, &longs;ed, vt triangulum e&longs;t; quare B, non crit <lb/>medium ip&longs;ius A, quia pr&aelig;dicta pa&longs;&longs;io. </s> <s>A, non competit triangulo B, per <lb/>aliud, &longs;ed per &longs;e, de eo enim primo, &amp; per &longs;e demon&longs;tratur in 32. primi Elem. <lb/>optim&egrave; Aegydius, &amp; Niphus in hunc locum.</s></p><p type="main">
 2239  
 2240 <s>A, non competit triangulo B, per <lb/>aliud, &longs;ed per &longs;e, de eo enim primo, &amp; per &longs;e demon&longs;tratur in 32. primi Elem. <lb/>optim&egrave; Aegydius, &amp; Niphus in hunc locum.</s></p><p type="main"> <s><arrow.to.target n="marg11"/></s></p><p type="margin">
 2241  
 2242 <s><arrow.to.target n="marg11"/></s></p><p type="margin"> <s><margin.target id="marg11"/>11</s></p><p type="main">
 2243  
 2244 <s><margin.target id="marg11"/>11</s></p><p type="main"> <s>Ex eodem cap. <emph type="italics"/>(Non oportet autem exi&longs;timare penes id, quod exponimus, ali&shy;<lb/>quid accidere ab&longs;urdum, nihil enim vtimur eo, quod e&longs;t hoc aliquid e&longs;&longs;e. </s>
 2245  
 2246 <s>Ex eodem cap. <emph type="italics"/>(Non oportet autem exi&longs;timare penes id, quod exponimus, ali&shy;<lb/>quid accidere ab&longs;urdum, nihil enim vtimur eo, quod e&longs;t hoc aliquid e&longs;&longs;e. </s> <s>&longs;ed &longs;icut <lb/>Geometra pedalem, &amp; rectam hanc, &amp; &longs;ine latitudine dicit, qu&aelig; non &longs;unt. </s>
 2247  
 2248 <s>&longs;ed &longs;icut <lb/>Geometra pedalem, &amp; rectam hanc, &amp; &longs;ine latitudine dicit, qu&aelig; non &longs;unt. </s> <s>verum <lb/>non &longs;ic vtitur, tanquam ex his ratiocinans)<emph.end type="italics"/> Quoniam Ari&longs;t.
 2249  
 2250 <s>verum <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/>ab&longs;urdum accidere: cui &longs;u&longs;picioni Ari&longs;t.
 2251  
 2252 in exemplis affert <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&shy;<lb/>di accidere po&longs;&longs;e, quoniam ip&longs;e vtitur hi&longs;ce literis, <expan abbr="n&otilde;">non</expan> quatenus liter&aelig; &longs;unt, <lb/>&longs;ed quatenus rerum vicem, pro quibus exponuntur, gerunt: quemadmodum <lb/>etiam Geometr&aelig; faciunt, qui lineam, qu&aelig; pedalis non e&longs;t, pedalem, &amp; qu&aelig; <lb/>non e&longs;t recta, rectam; &amp; qu&aelig; lata e&longs;t, non latam, &longs;upponunt, &amp; tamen nihil <lb/>inde ab&longs;urdi contingit. </s>
 2253  
 2254 re&longs;pondet, dicens, nihil inde ab&longs;ur&shy;<lb/>di accidere po&longs;&longs;e, quoniam ip&longs;e vtitur hi&longs;ce literis, <expan abbr="n&otilde;">non</expan> quatenus liter&aelig; &longs;unt, <lb/>&longs;ed quatenus rerum vicem, pro quibus exponuntur, gerunt: quemadmodum <lb/>etiam Geometr&aelig; faciunt, qui lineam, qu&aelig; pedalis non e&longs;t, pedalem, &amp; qu&aelig; <lb/>non e&longs;t recta, rectam; &amp; qu&aelig; lata e&longs;t, non latam, &longs;upponunt, &amp; tamen nihil <lb/>inde ab&longs;urdi contingit. </s> <s>Ex quibus intelligimus per lineas illas &longs;en&longs;ibiles, &amp; <lb/>phy&longs;icas, quas Geometr&aelig; in &longs;uis figuris ducunt, intelligendas e&longs;&longs;e lineas ve&shy;<lb/>r&egrave; Mathematicas omni latitudine carentes; vtitur enim inquit Ari&longs;t. <!-- REMOVE S-->Geo&shy;<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 ver&egrave; mathematicis. </s>
 2255  
 2256 <s>Ex quibus intelligimus per lineas illas &longs;en&longs;ibiles, &amp; <lb/>phy&longs;icas, quas Geometr&aelig; in &longs;uis figuris ducunt, intelligendas e&longs;&longs;e lineas ve&shy;<lb/>r&egrave; Mathematicas omni latitudine carentes; vtitur enim inquit Ari&longs;t. <!-- REMOVE S-->Geo&shy;<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 ver&egrave; mathematicis. </s> 
 2257  
 2258  <s>idem dicen&shy;<lb/>dum e&longs;t de &longs;uperficiebus, necnon de corporibus, qu&aelig; ijdem Goometr&aelig; de&shy;<lb/>&longs;cribunt, vt per ea, de ver&egrave; mathematicis di&longs;currant.</s></p></chap><pb pagenum="42"/>
 2259  <chap><p type="head">
 2260 <s>idem dicen&shy;<lb/>dum e&longs;t de &longs;uperficiebus, necnon de corporibus, qu&aelig; ijdem Goometr&aelig; de&shy;<lb/>&longs;cribunt, vt per ea, de ver&egrave; mathematicis di&longs;currant.</s></p></chap><pb pagenum="42"/> <s><emph type="italics"/>Ex Libro &longs;ecundo Priorum.<emph.end type="italics"/></s></p><p type="main">
 2261 <chap><p type="head"> 
 2262 <s><emph type="italics"/>Ex Libro &longs;ecundo Priorum.<emph.end type="italics"/></s></p><p type="main"> <s><arrow.to.target n="marg12"/></s></p><p type="margin">
 2263  
 2264 <s><arrow.to.target n="marg12"/></s></p><p type="margin"> <s><margin.target id="marg12"/>12</s></p><p type="main">
 2265  
 2266 <s><margin.target id="marg12"/>12</s></p><p type="main"> <s>Ex cap.
 2267  
 2268 <s>Ex cap.  21. <emph type="italics"/>(Quod faciunt, qui coalternas putant &longs;cribere, latent enim ip&longs;i<lb/>&longs;e ip&longs;os talia accip entes, qu&aelig; non est po&longs;&longs;ibile monstrare uon exi&longs;tentibus
 2269  
 2270 21. <emph type="italics"/>(Quod faciunt, qui coalternas putant &longs;cribere, latent enim ip&longs;i<lb/>&longs;e ip&longs;os talia accip entes, qu&aelig; non est po&longs;&longs;ibile monstrare uon exi&longs;tentibus 
 <lb/>coalternis)<emph.end type="italics"/> Vult Ari&longs;t.  <lb/>coalternis)<emph.end type="italics"/> Vult Ari&longs;t.
 2271  
 2272 exemplo mathematico explicare, quid &longs;it pe&shy;<lb/>titio principij. </s> exemplo mathematico explicare, quid &longs;it pe&shy;<lb/>titio principij. </s>
 2273  
 2274 <s>vbi per coalternas intelligit parallelas lineas, vox <lb/>enim gr&aelig;ca <foreign lang="greek">parallhlos,</foreign> idem &longs;ignificat, ac mutuus, &amp; coalternus. </s> <s>vbi per coalternas intelligit parallelas lineas, vox <lb/>enim gr&aelig;ca <foreign lang="greek">parallhlos,</foreign> idem &longs;ignificat, ac mutuus, &amp; coalternus. </s>
 2275  
 2276 <s>quoad <lb/>exempli explicationem vtor figura textibus apponi &longs;olita, qu&aelig; e&longs;t pr&aelig;&longs;ens. <lb/><figure place="text" xlink:href="figures-la/009.01.042.1.tif"/><lb/>probat Euclides in 28. primi Elem.  <s>quoad <lb/>exempli explicationem vtor figura textibus apponi &longs;olita, qu&aelig; e&longs;t pr&aelig;&longs;ens. <lb/><figure place="text" xlink:href="figures-la/009.01.042.1.tif"/><lb/>probat Euclides in 28. primi Elem.
 2277  
 2278 quod &longs;i <lb/>linea recta qu&aelig;dam, vti E F, cadens &longs;uper <lb/>duas rectas, vti &longs;unt A B, C D, fe cerit angu&shy;<lb/>los alternos &ecedil;quales, angulos <expan abbr="nimir&utilde;">nimirum</expan> A G H, <lb/>G H D, ij enim dicuntur alterni; &longs;iue alios <lb/>dnos, nimirum B G H, G H C, hi enim &longs;unt <lb/><expan abbr="quoq;">quoque</expan> alterni; probat inquam has duas li&shy;<lb/>neas A B, C D, e&longs;&longs;e inuicem parallelas. </s> quod &longs;i <lb/>linea recta qu&aelig;dam, vti E F, cadens &longs;uper <lb/>duas rectas, vti &longs;unt A B, C D, fe cerit angu&shy;<lb/>los alternos &ecedil;quales, angulos <expan abbr="nimir&utilde;">nimirum</expan> A G H, <lb/>G H D, ij enim dicuntur alterni; &longs;iue alios <lb/>dnos, nimirum B G H, G H C, hi enim &longs;unt <lb/><expan abbr="quoq;">quoque</expan> alterni; probat inquam has duas li&shy;<lb/>neas A B, C D, e&longs;&longs;e inuicem parallelas. </s>
 2279  
 2280 <s>Iam &longs;i quis vellet probare, &longs;e duas <lb/>parallelas duxi&longs;&longs;e, hac ratione, quia &longs;cilicet fa ciunt pr&aelig;dictos angulos al&shy;<lb/>ternos &aelig;quales; &amp; probaret facere angulos alternos &aelig;quales, quia &longs;unt pa&shy;<lb/>rallel&aelig;, hic peteret principium, ide&longs;t, illud, quod principio <expan abbr="proband&utilde;">probandum</expan> erat, <lb/>afferret pro ratione, &amp; cau&longs;a, quod dicitur peti principium, quia tunc pe&shy;<lb/>timus, vt concedatur nobis, id, quod principio, &amp; primo omnium demon&shy;<lb/>&longs;trare propo&longs;ueramus. </s> <s>Iam &longs;i quis vellet probare, &longs;e duas <lb/>parallelas duxi&longs;&longs;e, hac ratione, quia &longs;cilicet fa ciunt pr&aelig;dictos angulos al&shy;<lb/>ternos &aelig;quales; &amp; probaret facere angulos alternos &aelig;quales, quia &longs;unt pa&shy;<lb/>rallel&aelig;, hic peteret principium, ide&longs;t, illud, quod principio <expan abbr="proband&utilde;">probandum</expan> erat, <lb/>afferret pro ratione, &amp; cau&longs;a, quod dicitur peti principium, quia tunc pe&shy;<lb/>timus, vt concedatur nobis, id, quod principio, &amp; primo omnium demon&shy;<lb/>&longs;trare propo&longs;ueramus. </s>
 2281  
 2282 <s>aduerte, quod characteres, qui &longs;unt in &longs;equentibus <lb/>verbis huius loci, non appellant characteres figur&aelig; appo&longs;it&aelig;; in quo quidam <lb/>decepti, nullo pacto poterant locum hunc intelligere.</s></p><p type="main"> <s>aduerte, quod characteres, qui &longs;unt in &longs;equentibus <lb/>verbis huius loci, non appellant characteres figur&aelig; appo&longs;it&aelig;; in quo quidam <lb/>decepti, nullo pacto poterant locum hunc intelligere.</s></p><p type="main">
 2283  
 2284 <s><arrow.to.target n="marg13"/></s></p><p type="margin"> <s><arrow.to.target n="marg13"/></s></p><p type="margin">
 2285  
 2286 <s><margin.target id="marg13"/>13</s></p><p type="main"> <s><margin.target id="marg13"/>13</s></p><p type="main">
 2287  
 2288 <s>Ex cap.  <s>Ex cap.
 2289  
 2290 22. lib.  22. lib.
 2291  
 2292 2. Priorum <emph type="italics"/>(Vt &longs;i volens mon&longs;trare, quod diameter e&longs;t incom&shy;<lb/>men&longs;. argueret Zenonis rationem, quod non e&longs;t moueri)<emph.end type="italics"/> &longs;uperius &longs;ecto 3. lib.  2. Priorum <emph type="italics"/>(Vt &longs;i volens mon&longs;trare, quod diameter e&longs;t incom&shy;<lb/>men&longs;. argueret Zenonis rationem, quod non e&longs;t moueri)<emph.end type="italics"/> &longs;uperius &longs;ecto 3. lib.
 2293  
 2294 1. <lb/>fus&egrave; explicauimus hanc a&longs;ymmetriam, quam &longs;i quis vellet demon&longs;trare ea&shy;<lb/>dem illa ratione, qua Zeno motum impugnabat, quia &longs;cilicet <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan> com&shy;<lb/>munis, qu&aelig; debet vtramq, quantitatem men&longs;urare, debet in men&longs;urando <lb/>infinitas partes pertran&longs;ire, uimirum medietates medietatum in in&longs;initum, <lb/>e&longs;t autem impo&longs;&longs;ibile pertran&longs;ire infinitas huiu&longs;modi partes, &amp; propterea <lb/>non poterit metiri, <expan abbr="neq;">neque</expan> vnam, <expan abbr="neq;">neque</expan> alteram ex <expan abbr="qu&atilde;titatibus">quantitatibus</expan>, qu&aelig; putaban&shy;<lb/>tur commen&longs;urabiles, afferret hic, inquit Ari&longs;t.  1. <lb/>fus&egrave; explicauimus hanc a&longs;ymmetriam, quam &longs;i quis vellet demon&longs;trare ea&shy;<lb/>dem illa ratione, qua Zeno motum impugnabat, quia &longs;cilicet <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan> com&shy;<lb/>munis, qu&aelig; debet vtramq, quantitatem men&longs;urare, debet in men&longs;urando <lb/>infinitas partes pertran&longs;ire, uimirum medietates medietatum in in&longs;initum, <lb/>e&longs;t autem impo&longs;&longs;ibile pertran&longs;ire infinitas huiu&longs;modi partes, &amp; propterea <lb/>non poterit metiri, <expan abbr="neq;">neque</expan> vnam, <expan abbr="neq;">neque</expan> alteram ex <expan abbr="qu&atilde;titatibus">quantitatibus</expan>, qu&aelig; putaban&shy;<lb/>tur commen&longs;urabiles, afferret hic, inquit Ari&longs;t.
 2295  
 2296 non cau&longs;am pro cau&longs;a.</s></p><p type="main"> non cau&longs;am pro cau&longs;a.</s></p><p type="main">
 2297  
 2298 <s><arrow.to.target n="marg14"/></s></p><p type="margin"> <s><arrow.to.target n="marg14"/></s></p><p type="margin">
 2299  
 2300 <s><margin.target id="marg14"/>14</s></p><p type="main"> <s><margin.target id="marg14"/>14</s></p><p type="main">
 2301  
 2302 <s>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; &amp; &longs;i maior e&longs;t extrin&longs;ecus <lb/>angulus intrin&longs;eco; &amp; &longs;i triangulus habet plures rectos duobus)<emph.end type="italics"/> per plures po&longs;i&shy;<lb/>tiones &longs;ubaudi fal&longs;as. </s> <s>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; &amp; &longs;i maior e&longs;t extrin&longs;ecus <lb/>angulus intrin&longs;eco; &amp; &longs;i triangulus habet plures rectos duobus)<emph.end type="italics"/> per plures po&longs;i&shy;<lb/>tiones &longs;ubaudi fal&longs;as. </s>
 2303  
 2304 <s>per coalternas intellige lineas &aelig;quidi&longs;tantes, &longs;eu pa&shy;<lb/>rallelas, vt in &longs;uperiori cap.  <s>per coalternas intellige lineas &aelig;quidi&longs;tantes, &longs;eu pa&shy;<lb/>rallelas, vt in &longs;uperiori cap.
 2305  
 2306 monuimus. </s> monuimus. </s>
 2307  
 2308 <s>C&aelig;terum Euclides propo&longs;. </s> <s>C&aelig;terum Euclides propo&longs;. </s>
 2309  
 2310 <s>28. pri&shy;<lb/>mi Elem.  <s>28. pri&shy;<lb/>mi Elem.
 2311  
 2312 o&longs;tendit, quod &longs;i fuerint du&aelig; parallel&aelig; veluti in pr&aelig;cedenti figura, <lb/>A B, C D, &longs;uper quas alia recta E F, incidat, nece&longs;&longs;ario faciet angulum ex&shy;<lb/>trin&longs;ecum E G B, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&aelig;qualem interno, &amp; oppo&longs;ito, &amp; 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&shy;<lb/>gulum &longs;cilicet E G B, externum e&longs;&longs;e maiorem angulo interno G H D, &longs;equi&shy;<lb/>tur etiam fal&longs;um, videlicet lineas <expan abbr="&aelig;quidi&longs;t&atilde;tes">&aelig;quidi&longs;tantes</expan> A B, C D, concurrere. </s> o&longs;tendit, quod &longs;i fuerint du&aelig; parallel&aelig; veluti in pr&aelig;cedenti figura, <lb/>A B, C D, &longs;uper quas alia recta E F, incidat, nece&longs;&longs;ario faciet angulum ex&shy;<lb/>trin&longs;ecum E G B, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&aelig;qualem interno, &amp; oppo&longs;ito, &amp; 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&shy;<lb/>gulum &longs;cilicet E G B, externum e&longs;&longs;e maiorem angulo interno G H D, &longs;equi&shy;<lb/>tur etiam fal&longs;um, videlicet lineas <expan abbr="&aelig;quidi&longs;t&atilde;tes">&aelig;quidi&longs;tantes</expan> A B, C D, concurrere. </s>
 2313  
 2314  
 2315  
 2316  
 2317  
 2318 <s>&amp; pro&shy;<lb/>batur con&longs;equentia hoc modo, quia &longs;i angulus E G B, maior e&longs;t angulo <pb pagenum="43"/>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 in&aelig;qualibus <lb/>&aelig;qualia addantur, tota erunt in&aelig;qualia, vt prius per 4, axioma: hoc loco <lb/>communis angulus additur &longs;emel maiori angulo, &amp; &longs;emel minori; &amp; ideo <lb/>totum illud, in quo e&longs;t maior angulus, adhuc maius e&longs;t altero toto, in quo <lb/>minor angulus continetur. </s> <s>&amp; pro&shy;<lb/>batur con&longs;equentia hoc modo, quia &longs;i angulus E G B, maior e&longs;t angulo <pb pagenum="43"/>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 in&aelig;qualibus <lb/>&aelig;qualia addantur, tota erunt in&aelig;qualia, vt prius per 4, axioma: hoc loco <lb/>communis angulus additur &longs;emel maiori angulo, &amp; &longs;emel minori; &amp; ideo <lb/>totum illud, in quo e&longs;t maior angulus, adhuc maius e&longs;t altero toto, in quo <lb/>minor angulus continetur. </s>
 2319  
 2320 <s>at illi duo E G B, B G H, per 13. primi, &longs;unt <lb/>&aelig;quales 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/></s> <s>at illi duo E G B, B G H, per 13. primi, &longs;unt <lb/>&aelig;quales 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/></s>
 2321  
 2322 <s>At quando hi duo interni &longs;unt minores duobus rectis, tunc line&aelig; A B, C D, <lb/>&longs;unt concurrentes, &longs;i protrahantur ad partes pr&aelig;dictorum <expan abbr="angulor&utilde;">angulorum</expan>. </s> <s>At quando hi duo interni &longs;unt minores duobus rectis, tunc line&aelig; A B, C D, <lb/>&longs;unt concurrentes, &longs;i protrahantur ad partes pr&aelig;dictorum <expan abbr="angulor&utilde;">angulorum</expan>. </s>
 2323  
 2324 <s>quod <lb/>P. <!-- REMOVE S-->Clauius luculenti, &amp; hactenus de&longs;iderata demon&longs;tratione ad 28. primi <lb/>demon&longs;trauit. </s> <s>quod <lb/>P. <!-- REMOVE S-->Clauius luculenti, &amp; hactenus de&longs;iderata demon&longs;tratione ad 28. primi <lb/>demon&longs;trauit. </s>
 2325  
 2326  
 2327  
 2328 <s><expan abbr="Atq;">Atque</expan> hoc pacto ex prima fal&longs;a &longs;uppo&longs;itione, nimirum angu&shy;<lb/>lum illum externum e&longs;&longs;e maiorem interno, &amp; oppo&longs;ito; &longs;equitur fal&longs;um, ni&shy;<lb/>mirum lineas parallelas concurrere.</s></p><p type="main"> <s><expan abbr="Atq;">Atque</expan> hoc pacto ex prima fal&longs;a &longs;uppo&longs;itione, nimirum angu&shy;<lb/>lum illum externum e&longs;&longs;e maiorem interno, &amp; oppo&longs;ito; &longs;equitur fal&longs;um, ni&shy;<lb/>mirum lineas parallelas concurrere.</s></p><p type="main">
 2329  
 2330 <s>Pr&aelig;terea &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&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.043.1.tif"/><lb/>rallelas coincidere, &amp; probatur &longs;ic; &longs;int enim <lb/><expan abbr="tri&atilde;guli">trianguli</expan> A B C, tres anguli maiores, quam duo <lb/>recti anguli, &amp; per punctum C, ducta &longs;it recta <lb/>C D, parallela lateri B A. quia ergo angulus <lb/>A, &aelig;qualis e&longs;t angulo &longs;ibi alterno A C D, per <lb/>29. primi, &amp; quia totalis angulus B C D, &aelig;qua&shy;<lb/>lis e&longs;t duobus angulis B C A, A C D, quos tanquam &longs;uas partes ad&aelig;quatas <lb/>continet, quorum alter, &longs;cilicet A C D, e&longs;t &aelig;qualis angulo A. erit idem to&shy;<lb/>talis angulus B C D, &aelig;qualis duobus angulis A, &amp; A C B, trianguli propo&longs;i&shy;<lb/>ti. </s> <s>Pr&aelig;terea &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&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.043.1.tif"/><lb/>rallelas coincidere, &amp; probatur &longs;ic; &longs;int enim <lb/><expan abbr="tri&atilde;guli">trianguli</expan> A B C, tres anguli maiores, quam duo <lb/>recti anguli, &amp; per punctum C, ducta &longs;it recta <lb/>C D, parallela lateri B A. quia ergo angulus <lb/>A, &aelig;qualis e&longs;t angulo &longs;ibi alterno A C D, per <lb/>29. primi, &amp; quia totalis angulus B C D, &aelig;qua&shy;<lb/>lis e&longs;t duobus angulis B C A, A C D, quos tanquam &longs;uas partes ad&aelig;quatas <lb/>continet, quorum alter, &longs;cilicet A C D, e&longs;t &aelig;qualis angulo A. erit idem to&shy;<lb/>talis angulus B C D, &aelig;qualis duobus angulis A, &amp; A C B, trianguli propo&longs;i&shy;<lb/>ti. </s>
 2331  
 2332 <s>ergo totus i&longs;te angulus B C D, &longs;imul cum reliquo <expan abbr="tri&atilde;guli">trianguli</expan> angulo B. con&shy;<lb/>flabit compo&longs;itionem ex tribus angulis trianguli dati: &amp; con&longs;equenter ta&shy;<lb/>lis compo&longs;itio trium angulorum erit maior, quam &longs;int duo anguli recti. </s> <s>ergo totus i&longs;te angulus B C D, &longs;imul cum reliquo <expan abbr="tri&atilde;guli">trianguli</expan> angulo B. con&shy;<lb/>flabit compo&longs;itionem ex tribus angulis trianguli dati: &amp; con&longs;equenter ta&shy;<lb/>lis compo&longs;itio trium angulorum erit maior, quam &longs;int duo anguli recti. </s>
 2333  
 2334 <s>ex <lb/>quo &longs;equitur duas rectas B A, C D, &longs;uper quas cadit linea B C, faciens duos <lb/>angulos internos, &amp; ad ea&longs;dem partes, &longs;cilicet A B D, maiores duobus re&shy;<lb/>ctis non e&longs;&longs;e parallelas, &longs;ed concurrentes (vt patet ex nuper citata demon&shy;<lb/>&longs;tratione P. Clauij) quod fal&longs;um e&longs;t. </s> <s>ex <lb/>quo &longs;equitur duas rectas B A, C D, &longs;uper quas cadit linea B C, faciens duos <lb/>angulos internos, &amp; ad ea&longs;dem partes, &longs;cilicet A B D, maiores duobus re&shy;<lb/>ctis non e&longs;&longs;e parallelas, &longs;ed concurrentes (vt patet ex nuper citata demon&shy;<lb/>&longs;tratione P. Clauij) quod fal&longs;um e&longs;t. </s>
 2335  
 2336 <s>&amp; &longs;equitur ex &longs;ecunda fal&longs;a &longs;uppo&longs;itio&shy;<lb/>ne. </s> <s>&amp; &longs;equitur ex &longs;ecunda fal&longs;a &longs;uppo&longs;itio&shy;<lb/>ne. </s>
 2337  
 2338 <s>ex quibus textus Ari&longs;t.  <s>ex quibus textus Ari&longs;t.
 2339  
 2340 videtur &longs;atis clarus.</s></p><p type="main"> videtur &longs;atis clarus.</s></p><p type="main">
 2341  
 2342 <s><arrow.to.target n="marg15"/></s></p><p type="margin"> <s><arrow.to.target n="marg15"/></s></p><p type="margin">
 2343  
 2344 <s><margin.target id="marg15"/>15</s></p><p type="main"> <s><margin.target id="marg15"/>15</s></p><p type="main">
 2345  
 2346 <s>Ex cap.  <s>Ex cap.
 2347  
 2348 26. <emph type="italics"/>(Vt &longs;i A, duo recti, in quo autem P., triangulus, in quo vero C, <lb/>&longs;en&longs;ibuis 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, &amp; ignorabit idem. </s> 26. <emph type="italics"/>(Vt &longs;i A, duo recti, in quo autem P., triangulus, in quo vero C, <lb/>&longs;en&longs;ibuis 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, &amp; ignorabit idem. </s>
 2349  
 2350 <s>no&longs;ce enim <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> <s>no&longs;ce enim <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>
 2351  
 2352 <s>&longs;ic igitur, vt vni&shy;<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, qu&aelig; diximus lib.  <s>&longs;ic igitur, vt vni&shy;<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, qu&aelig; diximus lib.
 2353  
 2354 1. &longs;ecto 3. cap.  1. &longs;ecto 3. cap.
 2355  
 2356 1. ex quibus quidquid Ma&shy;<lb/>thematicum e&longs;t hic, clarum redditur. </s> 1. ex quibus quidquid Ma&shy;<lb/>thematicum e&longs;t hic, clarum redditur. </s>
 2357  
 2358 <s>reliqua ver&ograve;, qu&aelig; ad Logicum &longs;pe&shy;<lb/>ctant, huius loci commentatores pro&longs;equuntur.</s></p><p type="main"> <s>reliqua ver&ograve;, qu&aelig; ad Logicum &longs;pe&shy;<lb/>ctant, huius loci commentatores pro&longs;equuntur.</s></p><p type="main">
 2359  
 2360 <s>In cap.  <s>In cap.
 2361  
 2362 31. de Abductione.<!-- KEEP S--></s></p><p type="main"> 31. de Abductione.<!-- KEEP S--></s></p><p type="main">
 2363  
 2364 <s><arrow.to.target n="marg16"/></s></p><p type="margin"> <s><arrow.to.target n="marg16"/></s></p><p type="margin">
 2365  
 2366 <s><margin.target id="marg16"/>16</s></p><p type="main"> <s><margin.target id="marg16"/>16</s></p><p type="main">
 2367  
 2368 <s>Notandum hic cum eruditi&longs;&longs;imo Burana, Abductionem hanc, de qua in hoc <lb/>cap.  <s>Notandum hic cum eruditi&longs;&longs;imo Burana, Abductionem hanc, de qua in hoc <lb/>cap.
 2369  
 2370 agitur e&longs;&longs;e vocem mathematicam, <expan abbr="cam&qacute;">camque</expan>; Ari&longs;t.  agitur e&longs;&longs;e vocem mathematicam, <expan abbr="cam&qacute;">camque</expan>; Ari&longs;t.
 2371  
 2372 quemadmodum multa <lb/>alia &agrave; Mathematicis mutuatum ad omnes alias &longs;cientias tran&longs;tuli&longs;&longs;e. </s> quemadmodum multa <lb/>alia &agrave; Mathematicis mutuatum ad omnes alias &longs;cientias tran&longs;tuli&longs;&longs;e. </s>
 2373  
 2374 <s>e&longs;&longs;e <pb pagenum="44"/>autem terminum mathematicum colligitur manife&longs;t&egrave; ex Proelo, qui lib.  <s>e&longs;&longs;e <pb pagenum="44"/>autem terminum mathematicum colligitur manife&longs;t&egrave; ex Proelo, qui lib.
 2375  
 2376 3. <lb/>in comm. <!-- REMOVE S-->Elem.  3. <lb/>in comm. <!-- REMOVE S-->Elem.
 2377  
 2378 Euclidis ad primam propo&longs;itionem primi Elementi, pag. <lb/></s> Euclidis ad primam propo&longs;itionem primi Elementi, pag. <lb/></s>
 2379  
 2380  
 2381  
 2382 <s>121. &longs;ic ait, Abductio ver&ograve; e&longs;t tran&longs;itus &agrave; propo&longs;ito problemate, vel theo&shy;<lb/>remate ad aliud, quo cognito, aut comparato Propo&longs;itum quoque per&longs;pi&shy;<lb/>cuum e&longs;t. </s> <s>121. &longs;ic ait, Abductio ver&ograve; e&longs;t tran&longs;itus &agrave; propo&longs;ito problemate, vel theo&shy;<lb/>remate ad aliud, quo cognito, aut comparato Propo&longs;itum quoque per&longs;pi&shy;<lb/>cuum e&longs;t. </s>
 2383  
 2384 <s>Exempli cau&longs;a, cum cubi duplicatio propo&longs;ita e&longs;&longs;et ad inue&longs;ti&shy;<lb/>gandam qu&aelig;&longs;tionem in aliud tran&longs;tulere, quod illud propo&longs;itum con&longs;equi&shy;<lb/>tur, ad duarum nempe mediarum linearum inuentionem tran&longs;lata e&longs;t qu&aelig;&shy;<lb/>&longs;tio, &amp; &longs;ic qu&aelig;rebant deinceps, quonam modo datis duabus rectis lineis, <lb/>du&aelig; medi&aelig; proportionales reperirentur. </s> <s>Exempli cau&longs;a, cum cubi duplicatio propo&longs;ita e&longs;&longs;et ad inue&longs;ti&shy;<lb/>gandam qu&aelig;&longs;tionem in aliud tran&longs;tulere, quod illud propo&longs;itum con&longs;equi&shy;<lb/>tur, ad duarum nempe mediarum linearum inuentionem tran&longs;lata e&longs;t qu&aelig;&shy;<lb/>&longs;tio, &amp; &longs;ic qu&aelig;rebant deinceps, quonam modo datis duabus rectis lineis, <lb/>du&aelig; medi&aelig; proportionales reperirentur. </s>
 2385  
 2386 <s>Primum autem dicunt Hippocra&shy;<lb/>tem Chium pr&ecedil;dictorum titulorum, Abductionem feci&longs;&longs;e, qui &amp; lunul&aelig; qua&shy;<lb/>dratum fecit &aelig;quale, &amp; alia multa in Geometria inuenit. </s> <s>Primum autem dicunt Hippocra&shy;<lb/>tem Chium pr&ecedil;dictorum titulorum, Abductionem feci&longs;&longs;e, qui &amp; lunul&aelig; qua&shy;<lb/>dratum fecit &aelig;quale, &amp; alia multa in Geometria inuenit. </s>
 2387  
 2388 <s>h&aelig;c Proclus. <!-- KEEP S--></s> <s>h&aelig;c Proclus. <!-- KEEP S--></s>
 2389  
 2390 <s>vbi <lb/>non di&longs;&longs;imulandum nos re&longs;titui&longs;&longs;e verbum, Abductionem, cuius loco inter&shy;<lb/>pres Procli vtitur inductionis voce, &longs;equuti &amp; rationem, &amp; gr&aelig;cum textum, <lb/>qui no&longs;tram hanc expo&longs;itionem euidenter po&longs;tulat, <foreign lang="greek">apagwgh\</foreign> enim valet &amp; <lb/>inductionem, &amp; abductionem, &longs;ed abductio omnino rei propo&longs;it&aelig; quadrat.</s></p><p type="main"> <s>vbi <lb/>non di&longs;&longs;imulandum nos re&longs;titui&longs;&longs;e verbum, Abductionem, cuius loco inter&shy;<lb/>pres Procli vtitur inductionis voce, &longs;equuti &amp; rationem, &amp; gr&aelig;cum textum, <lb/>qui no&longs;tram hanc expo&longs;itionem euidenter po&longs;tulat, <foreign lang="greek">apagwgh\</foreign> enim valet &amp; <lb/>inductionem, &amp; abductionem, &longs;ed abductio omnino rei propo&longs;it&aelig; quadrat.</s></p><p type="main">
 2391  
 2392 <s>Notandum pr&aelig;terea Hippoetatem Chium fui&longs;&longs;e auctorem huius Abdu&shy;<lb/>ctionis, <expan abbr="eum&qacute;">eumque</expan>; feci&longs;&longs;e Abductionem &agrave; propo&longs;ito Problemate quadrandi cir&shy;<lb/>culi, vnde manife&longs;t&egrave; apparet, Ari&longs;totelem ex Mathematicis hunc terminum <lb/>mutu&ograve; accepi&longs;&longs;e, quandoquidem ex ij&longs;dem accepit etiam exemplum Abdu&shy;<lb/>ctionis Mathematic&aelig;, im&ograve; etiam exemplum ip&longs;ius authoris Abductionis<lb/>Mathematic&aelig;. </s> <s>Notandum pr&aelig;terea Hippoetatem Chium fui&longs;&longs;e auctorem huius Abdu&shy;<lb/>ctionis, <expan abbr="eum&qacute;">eumque</expan>; feci&longs;&longs;e Abductionem &agrave; propo&longs;ito Problemate quadrandi cir&shy;<lb/>culi, vnde manife&longs;t&egrave; apparet, Ari&longs;totelem ex Mathematicis hunc terminum <lb/>mutu&ograve; accepi&longs;&longs;e, quandoquidem ex ij&longs;dem accepit etiam exemplum Abdu&shy;<lb/>ctionis Mathematic&aelig;, im&ograve; etiam exemplum ip&longs;ius authoris Abductionis<lb/>Mathematic&aelig;. </s>
 2393  
 2394 <s>&longs;yllogi&longs;mus autem Hippocratis, quo o&longs;tendebat circuli qua&shy;<lb/>draturam reducebatur ad has propo&longs;itiones, omnis rectilinea figura qua&shy;<lb/>dratur, &longs;ed circulus reducitur ad figuram rectilineam, ergo circulus qua&shy;<lb/>dratur. </s> <s>&longs;yllogi&longs;mus autem Hippocratis, quo o&longs;tendebat circuli qua&shy;<lb/>draturam reducebatur ad has propo&longs;itiones, omnis rectilinea figura qua&shy;<lb/>dratur, &longs;ed circulus reducitur ad figuram rectilineam, ergo circulus qua&shy;<lb/>dratur. </s>
 2395  
 2396 <s>in probatione minoris facta e&longs;t Abductio, cum enim ip&longs;e vellet re&shy;<lb/>ctificare circumferentiam circuli per lunulas, nec valeret, alij per lineam, <lb/>quandam quadratricem, vt e&longs;t apud Pappum <expan abbr="Alexandrin&utilde;">Alexandrinum</expan>, &amp; apud P. <!-- REMOVE S-->Cla&shy;<lb/>uium in fine &longs;exti Elem.  <s>in probatione minoris facta e&longs;t Abductio, cum enim ip&longs;e vellet re&shy;<lb/>ctificare circumferentiam circuli per lunulas, nec valeret, alij per lineam, <lb/>quandam quadratricem, vt e&longs;t apud Pappum <expan abbr="Alexandrin&utilde;">Alexandrinum</expan>, &amp; apud P. <!-- REMOVE S-->Cla&shy;<lb/>uium in fine &longs;exti Elem.
 2397  
 2398 &amp; alij aliter fru&longs;tra conarentur, facta e&longs;t Abductio <lb/>circa probationem minoris, in qua adhuc Mathematici verfantur; qu&aelig; pro&shy;<lb/>batio, &longs;i tandem inueniri po&longs;&longs;et, mox &longs;equeretur principale <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> pro&shy;<lb/>blema, nimirum circulus quadraretur; vide qu&aelig; &longs;crip&longs;imus in cap.  &amp; alij aliter fru&longs;tra conarentur, facta e&longs;t Abductio <lb/>circa probationem minoris, in qua adhuc Mathematici verfantur; qu&aelig; pro&shy;<lb/>batio, &longs;i tandem inueniri po&longs;&longs;et, mox &longs;equeretur principale <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> pro&shy;<lb/>blema, nimirum circulus quadraretur; vide qu&aelig; &longs;crip&longs;imus in cap.
 2399  
 2400 3. Pr&aelig;&shy;<lb/>dicam. <!-- REMOVE S-->de hac re, quia plurimum hunc conferunt. </s> 3. Pr&aelig;&shy;<lb/>dicam. <!-- REMOVE S-->de hac re, quia plurimum hunc conferunt. </s>
 2401  
 2402  
 2403  
 2404  
 2405  
 2406 <s>&longs;ed iam ad textus expli&shy;<lb/>cationem veniamus.</s></p><p type="main"> <s>&longs;ed iam ad textus expli&shy;<lb/>cationem veniamus.</s></p><p type="main">
 2407  
 2408 <s><arrow.to.target n="marg17"/></s></p><p type="margin"> <s><arrow.to.target n="marg17"/></s></p><p type="margin">
 2409  
 2410 <s><margin.target id="marg17"/>17</s></p><p type="main"> <s><margin.target id="marg17"/>17</s></p><p type="main">
 2411  
 2412 <s>Ex eodem cap. <emph type="italics"/>(Veluti &longs;i K, e&longs;&longs;et quadrari, in quo autem E, rectilineum, in <lb/>quo ver&ograve; 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 &aelig;qualem fieri circulum rectilineo, e&longs;&longs;e po&longs;&longs;et prop&egrave; 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&shy;<lb/>nem: <expan abbr="neq;">neque</expan> quando B C, &longs;it immediatum, tale enim &longs;cientia est)<emph.end type="italics"/> Aduerte figuram <lb/>vulgat&aelig; editionis e&longs;&longs;e mendo&longs;am, &amp; propterea re&longs;tituendam e&longs;&longs;e, qualis pri&shy;<lb/>ma &longs;equens ex Simplicio ad tex. <!-- REMOVE S-->11. primi Phy&longs;ic. <!-- REMOVE S-->hoc modo Hippocrates <lb/>Chius conabatur circulum ad quadrum redigere; fit circulus A B G C, qua&shy;<lb/>drandus; con&longs;tituatur <expan abbr="itaq;">itaque</expan> &longs;uper diametro cius B C, quadratum B C D F, <lb/>cuius diameter B D, &longs;ecatur bifariam in G, &agrave; circumferentia circuli dati, <lb/>quod patet ducta &longs;emidiametro H G, perpendiculari ex B C, qu&aelig; &longs;uo extre&shy;<lb/>mo puncto G, &longs;ecat bifariam, &amp; <expan abbr="diametr&utilde;">diametrum</expan> B D, &amp; 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&shy;<lb/>ctaturque</expan>; recta G C. in triangulo orthogonio B C D, latus B D, &longs;ubtenditur <pb pagenum="45"/><figure place="text" xlink:href="figures-la/009.01.045.1.tif"/><lb/>angulo recto C, ergo quadratum eius ex eorol&shy;<lb/>lario 47. primi, duplum erit quadrati B C, quare <lb/>etiam circulus B C D F, duplus erit circuli A B&shy;<lb/>G C, per 2. duodecimi, &amp; &longs;emicirculus B C D, <lb/>duplus erit &longs;emicirculi B A C: &amp; quadrans B E&shy;<lb/>C G, &aelig;qualis erit &longs;emicirculo B A C: ablato igi&shy;<lb/>tur communi &longs;egmento B E C H, remanet lunu&shy;<lb/>la B A C E, &aelig;qualis triangulo B C G, quod trian&shy;<lb/>gulum &longs;i per vltimam &longs;ecundi quadretur, erit lu&shy;<lb/>nula B A C, con&longs;equenter quadrata. </s> <s>Ex eodem cap. <emph type="italics"/>(Veluti &longs;i K, e&longs;&longs;et quadrari, in quo autem E, rectilineum, in <lb/>quo ver&ograve; 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 &aelig;qualem fieri circulum rectilineo, e&longs;&longs;e po&longs;&longs;et prop&egrave; 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&shy;<lb/>nem: <expan abbr="neq;">neque</expan> quando B C, &longs;it immediatum, tale enim &longs;cientia est)<emph.end type="italics"/> Aduerte figuram <lb/>vulgat&aelig; editionis e&longs;&longs;e mendo&longs;am, &amp; propterea re&longs;tituendam e&longs;&longs;e, qualis pri&shy;<lb/>ma &longs;equens ex Simplicio ad tex. <!-- REMOVE S-->11. primi Phy&longs;ic. <!-- REMOVE S-->hoc modo Hippocrates <lb/>Chius conabatur circulum ad quadrum redigere; fit circulus A B G C, qua&shy;<lb/>drandus; con&longs;tituatur <expan abbr="itaq;">itaque</expan> &longs;uper diametro cius B C, quadratum B C D F, <lb/>cuius diameter B D, &longs;ecatur bifariam in G, &agrave; circumferentia circuli dati, <lb/>quod patet ducta &longs;emidiametro H G, perpendiculari ex B C, qu&aelig; &longs;uo extre&shy;<lb/>mo puncto G, &longs;ecat bifariam, &amp; <expan abbr="diametr&utilde;">diametrum</expan> B D, &amp; 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&shy;<lb/>ctaturque</expan>; recta G C. in triangulo orthogonio B C D, latus B D, &longs;ubtenditur <pb pagenum="45"/><figure place="text" xlink:href="figures-la/009.01.045.1.tif"/><lb/>angulo recto C, ergo quadratum eius ex eorol&shy;<lb/>lario 47. primi, duplum erit quadrati B C, quare <lb/>etiam circulus B C D F, duplus erit circuli A B&shy;<lb/>G C, per 2. duodecimi, &amp; &longs;emicirculus B C D, <lb/>duplus erit &longs;emicirculi B A C: &amp; quadrans B E&shy;<lb/>C G, &aelig;qualis erit &longs;emicirculo B A C: ablato igi&shy;<lb/>tur communi &longs;egmento B E C H, remanet lunu&shy;<lb/>la B A C E, &aelig;qualis triangulo B C G, quod trian&shy;<lb/>gulum &longs;i per vltimam &longs;ecundi quadretur, erit lu&shy;<lb/>nula B A C, con&longs;equenter quadrata. </s>
 2413  
 2414  
 2415  
 2416  
 2417  
 2418 <s><expan abbr="hucu&longs;q;">hucu&longs;que</expan> be&shy;<lb/>n&egrave; procedit Hippocrates. <!-- KEEP S--></s> <s><expan abbr="hucu&longs;q;">hucu&longs;que</expan> be&shy;<lb/>n&egrave; procedit Hippocrates. <!-- KEEP S--></s>
 2419  
 2420 <s>&longs;ed vt reliquum circu&shy;<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/><figure place="text" xlink:href="figures-la/009.01.045.2.tif"/><lb/>L O M, cui in&longs;cribatur hexagoni <lb/>&aelig;quilateri dimidium L Q S M, &amp; &longs;u&shy;<lb/>per tribus hexagoni lateribus, &longs;int <lb/>tres &longs;emicirculi, vt in figura. </s> <s>&longs;ed vt reliquum circu&shy;<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/><figure place="text" xlink:href="figures-la/009.01.045.2.tif"/><lb/>L O M, cui in&longs;cribatur hexagoni <lb/>&aelig;quilateri dimidium L Q S M, &amp; &longs;u&shy;<lb/>per tribus hexagoni lateribus, &longs;int <lb/>tres &longs;emicirculi, vt in figura. </s>
 2421  
 2422 <s>&amp; <expan abbr="quo-ni&atilde;">quo&shy;<lb/>niam</expan> diameter L M, dupla e&longs;t <expan abbr="vniu&longs;-cuiu&longs;q;">vniu&longs;&shy;<lb/>cuiu&longs;que</expan> <expan abbr="diametror&utilde;">diametrorum</expan> B C, L Q, Q S, <lb/>S M, erit &longs;emicirculus L O M, &ecedil;qua&shy;<lb/>lis quatuor &longs;emicirculis pr&aelig;dictis <lb/>per 2. duodecimi, &amp; per 4. &longs;ecundi <lb/>ablatis igitur tribus <expan abbr="&longs;egm&etilde;tis">&longs;egmentis</expan> com&shy;<lb/>munibus L N Q, Q O S, S P M, relinquetur trapezium L Q S M, &aelig;quale &longs;e&shy;<lb/>micirculo B A C, &amp; tribus lunulis L H Q N, Q R S O, S X M P, ab&longs;cindan&shy;<lb/>tur <expan abbr="itaq;">itaque</expan> detrapezio tria triangula &aelig;qualia tribus lunulis, eo modo, quo &longs;u&shy;<lb/>pra in prima figura factum e&longs;t, &amp; quod relinquetur &aelig;quale erit &longs;emicirculo <lb/>B A C. quod deinde quadretur per vlt. </s> <s>&amp; <expan abbr="quo-ni&atilde;">quo&shy;<lb/>niam</expan> diameter L M, dupla e&longs;t <expan abbr="vniu&longs;-cuiu&longs;q;">vniu&longs;&shy;<lb/>cuiu&longs;que</expan> <expan abbr="diametror&utilde;">diametrorum</expan> B C, L Q, Q S, <lb/>S M, erit &longs;emicirculus L O M, &ecedil;qua&shy;<lb/>lis quatuor &longs;emicirculis pr&aelig;dictis <lb/>per 2. duodecimi, &amp; per 4. &longs;ecundi <lb/>ablatis igitur tribus <expan abbr="&longs;egm&etilde;tis">&longs;egmentis</expan> com&shy;<lb/>munibus L N Q, Q O S, S P M, relinquetur trapezium L Q S M, &aelig;quale &longs;e&shy;<lb/>micirculo B A C, &amp; tribus lunulis L H Q N, Q R S O, S X M P, ab&longs;cindan&shy;<lb/>tur <expan abbr="itaq;">itaque</expan> detrapezio tria triangula &aelig;qualia tribus lunulis, eo modo, quo &longs;u&shy;<lb/>pra in prima figura factum e&longs;t, &amp; quod relinquetur &aelig;quale erit &longs;emicirculo <lb/>B A C. quod deinde quadretur per vlt. </s>
 2423  
 2424 <s>&longs;ecundi, &longs;ed aduerte, quod quando <lb/>ait, ab&longs;cindantur de trapezio tria triangula &aelig;qualia lunulis, eo modo, quo <lb/>&longs;upra, committit deceptionem, quia eodem modo, quo &longs;upra minim&egrave; id fa&shy;<lb/>cere po&longs;&longs;umus, quia in &longs;uperiori figura triangula erant con&longs;tituta &longs;uper la&shy;<lb/>tus B C, quadrati B C D F, intra circulum de&longs;cripti, qui circulus facit cum <lb/>B C, maius <expan abbr="&longs;egment&utilde;">&longs;egmentum</expan>, quam faciat &longs;emicirculus L O M, cum lateribus L Q, <lb/>Q S, S M. &amp; propterea &longs;emicirculus i&longs;te non habet eandem proportionem <lb/>ad vnamquamque lunularum &longs;uarum, quam habet &longs;emicirculus &longs;uperior <lb/>B C D, ad lunulam B A C E. <expan abbr="atq;">atque</expan> h&aelig;c e&longs;t fallacia, quam authorem &longs;uum mi&shy;<lb/>nim&egrave; latui&longs;&longs;e putandum, cuius Ari&longs;t. &longs;&aelig;pius mentionem in &longs;equentibus fa&shy;<lb/>ciet : qu&igrave; enim fieri pote&longs;t, vt tam acutus inuentor, adeo manife&longs;tum erro&shy;<lb/>rem non vidi&longs;&longs;et, verum propter adinuenti excellentiam, authori &longs;uo pla&shy;<lb/>cuit paralogy&longs;mus. </s> <s>&longs;ecundi, &longs;ed aduerte, quod quando <lb/>ait, ab&longs;cindantur de trapezio tria triangula &aelig;qualia lunulis, eo modo, quo <lb/>&longs;upra, committit deceptionem, quia eodem modo, quo &longs;upra minim&egrave; id fa&shy;<lb/>cere po&longs;&longs;umus, quia in &longs;uperiori figura triangula erant con&longs;tituta &longs;uper la&shy;<lb/>tus B C, quadrati B C D F, intra circulum de&longs;cripti, qui circulus facit cum <lb/>B C, maius <expan abbr="&longs;egment&utilde;">&longs;egmentum</expan>, quam faciat &longs;emicirculus L O M, cum lateribus L Q, <lb/>Q S, S M. &amp; propterea &longs;emicirculus i&longs;te non habet eandem proportionem <lb/>ad vnamquamque lunularum &longs;uarum, quam habet &longs;emicirculus &longs;uperior <lb/>B C D, ad lunulam B A C E. <expan abbr="atq;">atque</expan> h&aelig;c e&longs;t fallacia, quam authorem &longs;uum mi&shy;<lb/>nim&egrave; latui&longs;&longs;e putandum, cuius Ari&longs;t. &longs;&aelig;pius mentionem in &longs;equentibus fa&shy;<lb/>ciet : qu&igrave; enim fieri pote&longs;t, vt tam acutus inuentor, adeo manife&longs;tum erro&shy;<lb/>rem non vidi&longs;&longs;et, verum propter adinuenti excellentiam, authori &longs;uo pla&shy;<lb/>cuit paralogy&longs;mus. </s>
 2425  
 2426 <s>mirabilis tamen &longs;emper habita e&longs;t illa &longs;uperior lunul&aelig; <lb/>quadratio. </s> <s>mirabilis tamen &longs;emper habita e&longs;t illa &longs;uperior lunul&aelig; <lb/>quadratio. </s>
 2427  
 2428 <s>Ex quibus &longs;atis clara e&longs;&longs;e po&longs;&longs;unt ea, qu&aelig; ad <expan abbr="Mathematic&utilde;">Mathematicum</expan> per&shy;<lb/>tinent, ad locum hunc de Abductione declarandum. </s> <s>Ex quibus &longs;atis clara e&longs;&longs;e po&longs;&longs;unt ea, qu&aelig; ad <expan abbr="Mathematic&utilde;">Mathematicum</expan> per&shy;<lb/>tinent, ad locum hunc de Abductione declarandum. </s>
 2429  
 2430 <s>facta e&longs;t igitur abdu&shy;<lb/>ctio ab Hippocrate in quadratione trium po&longs;teriorum lunularum, in qua&shy;<lb/>rum quadratione diu immoratus, nunquam ni&longs;i cum paralogy&longs;mo quadra&shy;<lb/>re valuit. </s> <s>facta e&longs;t igitur abdu&shy;<lb/>ctio ab Hippocrate in quadratione trium po&longs;teriorum lunularum, in qua&shy;<lb/>rum quadratione diu immoratus, nunquam ni&longs;i cum paralogy&longs;mo quadra&shy;<lb/>re valuit. </s>
 2431  
 2432 <s>H&aelig;c pluribus, vt &longs;equentibus etiam textibus, in quibus huius te&shy;<lb/>tragoni&longs;mi fit mentio &longs;atisfacere po&longs;&longs;imus. </s> <s>H&aelig;c pluribus, vt &longs;equentibus etiam textibus, in quibus huius te&shy;<lb/>tragoni&longs;mi fit mentio &longs;atisfacere po&longs;&longs;imus. </s>
 2433  
 2434 <s>Hippocrates i&longs;te Chius e&longs;t alter <pb pagenum="46"/>ab illo Hippocrate Coo medicorum Magi&longs;tro, vt colligitur ex Alexandre <lb/>Aphrod. <!-- REMOVE S-->in Primum Meteororum de Cometis.<!-- KEEP S--></s> <s>Hippocrates i&longs;te Chius e&longs;t alter <pb pagenum="46"/>ab illo Hippocrate Coo medicorum Magi&longs;tro, vt colligitur ex Alexandre <lb/>Aphrod. <!-- REMOVE S-->in Primum Meteororum de Cometis.<!-- KEEP S--></s>
 2435  
 2436 </p></chap><chap><p type="head"> </p></chap><chap><p type="head">
 2437  
 2438 <s><emph type="italics"/>Ex Primo Posteriorum re&longs;olutoriorum.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Ex Primo Posteriorum re&longs;olutoriorum.<emph.end type="italics"/></s></p><p type="main">
 2439  
 2440 <s><arrow.to.target n="marg18"/></s></p><p type="margin"> <s><arrow.to.target n="marg18"/></s></p><p type="margin">
 2441  
 2442 <s><margin.target id="marg18"/>18</s></p><p type="main"> <s><margin.target id="marg18"/>18</s></p><p type="main">
 2443  
 2444 <s>Textu primo <emph type="italics"/>(Omnis doctrina, &amp; omnis di&longs;ciplina di&longs;cur&longs;iua ex pr&aelig;exi&shy;<lb/>&longs;tenti fit cognitione. </s> <s>Textu primo <emph type="italics"/>(Omnis doctrina, &amp; omnis di&longs;ciplina di&longs;cur&longs;iua ex pr&aelig;exi&shy;<lb/>&longs;tenti fit cognitione. </s>
 2445  
 2446 <s>manife&longs;tum autem hoc &longs;peculantibus in omnibus, <lb/>Mathematic&aelig; <expan abbr="namq;">namque</expan> &longs;cientiarum per hunc modum accedunt)<emph.end type="italics"/> quo mo&shy;<lb/>do Mathematic&aelig; fiant ex pr&aelig;cedenti cognitione, &longs;cilicet Princi&shy;<lb/>piorum per&longs;picu&egrave; quilibet videbit, qui &longs;altem primum <expan abbr="Elem&etilde;torum">Elementorum</expan> Eucli&shy;<lb/>dis, vel &egrave; ianuis in&longs;pexerit; pr&ecedil;cedunt enim primo principiorum tria gene&shy;<lb/>ra, quorum primum continet definitiones &longs;ubiecti Geometri&aelig;, vt definitio&shy;<lb/>nes line&aelig;, &longs;uperficiei, trianguli, &amp;c: Secundum continet Po&longs;tulata. </s> <s>manife&longs;tum autem hoc &longs;peculantibus in omnibus, <lb/>Mathematic&aelig; <expan abbr="namq;">namque</expan> &longs;cientiarum per hunc modum accedunt)<emph.end type="italics"/> quo mo&shy;<lb/>do Mathematic&aelig; fiant ex pr&aelig;cedenti cognitione, &longs;cilicet Princi&shy;<lb/>piorum per&longs;picu&egrave; quilibet videbit, qui &longs;altem primum <expan abbr="Elem&etilde;torum">Elementorum</expan> Eucli&shy;<lb/>dis, vel &egrave; ianuis in&longs;pexerit; pr&ecedil;cedunt enim primo principiorum tria gene&shy;<lb/>ra, quorum primum continet definitiones &longs;ubiecti Geometri&aelig;, vt definitio&shy;<lb/>nes line&aelig;, &longs;uperficiei, trianguli, &amp;c: Secundum continet Po&longs;tulata. </s>
 2447  
 2448 <s>Tertium <lb/>Axiomata, &longs;eu communes omnium conceptiones, &amp; &longs;ententias, ex quibus <lb/>tanquam ex vberrimis, &amp; chri&longs;taltinis fontibus Demon&longs;trationes Geome&shy;<lb/>tric&aelig; deriuantur. </s> <s>Tertium <lb/>Axiomata, &longs;eu communes omnium conceptiones, &amp; &longs;ententias, ex quibus <lb/>tanquam ex vberrimis, &amp; chri&longs;taltinis fontibus Demon&longs;trationes Geome&shy;<lb/>tric&aelig; deriuantur. </s>
 2449  
 2450 <s>Idem v&igrave;dere licet in operibus aliorum Geometrarum, <lb/>Archimedis, Apollonij, Pappi, &amp; c&aelig;terorum. </s> <s>Idem v&igrave;dere licet in operibus aliorum Geometrarum, <lb/>Archimedis, Apollonij, Pappi, &amp; c&aelig;terorum. </s>
 2451  
 2452 <s>Ali&aelig; &longs;iniliter mathematic&aelig;, <lb/>vt Arithmetica, Per&longs;pectiua, Mu&longs;ica, Mechanica, A&longs;tronomia, non ni&longs;t ex <lb/>pr&aelig;mi&longs;&longs;is, ac manife&longs;ti&longs;simis principijs &longs;uas demon&longs;trationes deducunt. <lb/></s> <s>Ali&aelig; &longs;iniliter mathematic&aelig;, <lb/>vt Arithmetica, Per&longs;pectiua, Mu&longs;ica, Mechanica, A&longs;tronomia, non ni&longs;t ex <lb/>pr&aelig;mi&longs;&longs;is, ac manife&longs;ti&longs;simis principijs &longs;uas demon&longs;trationes deducunt. <lb/></s>
 2453  
 2454 <s>Nulla porr&ograve; alia &longs;cientia tam di&longs;tinct&egrave; &longs;ua pr&aelig;mittit principia, <expan abbr="tam&qacute;">tamque</expan>; per&shy;<lb/>&longs;picua, &longs;icuti Mathematic&aelig;, vt non immerit&ograve; Philo&longs;ophus eas, tamquam <lb/>ver&aelig; &longs;cienti&aelig; <expan abbr="typ&utilde;">typum</expan>, <expan abbr="eum&qacute;">eumque</expan>; omnibus numeris ab&longs;olutum &longs;ibi ob oculos pro&shy;<lb/>po&longs;uerit, ex quo ver&aelig; &longs;cienti&aelig; de&longs;criptionem hi&longs;ce libris complecteretur.</s></p><p type="main"> <s>Nulla porr&ograve; alia &longs;cientia tam di&longs;tinct&egrave; &longs;ua pr&aelig;mittit principia, <expan abbr="tam&qacute;">tamque</expan>; per&shy;<lb/>&longs;picua, &longs;icuti Mathematic&aelig;, vt non immerit&ograve; Philo&longs;ophus eas, tamquam <lb/>ver&aelig; &longs;cienti&aelig; <expan abbr="typ&utilde;">typum</expan>, <expan abbr="eum&qacute;">eumque</expan>; omnibus numeris ab&longs;olutum &longs;ibi ob oculos pro&shy;<lb/>po&longs;uerit, ex quo ver&aelig; &longs;cienti&aelig; de&longs;criptionem hi&longs;ce libris complecteretur.</s></p><p type="main">
 2455  
 2456 <s><arrow.to.target n="marg19"/></s></p><p type="margin"> <s><arrow.to.target n="marg19"/></s></p><p type="margin">
 2457  
 2458 <s><margin.target id="marg19"/>19</s></p><p type="main"> <s><margin.target id="marg19"/>19</s></p><p type="main">
 2459  
 2460 <s>Tex. 2. <emph type="italics"/>(Quod enim omne triangulum habet duobus rectis &aelig;quales, pr&aelig;&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/>vide primo, qu&aelig; &longs;upra libro 1. Prior. <!-- REMOVE S-->&longs;ecto 3. cap.  <s>Tex. 2. <emph type="italics"/>(Quod enim omne triangulum habet duobus rectis &aelig;quales, pr&aelig;&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/>vide primo, qu&aelig; &longs;upra libro 1. Prior. <!-- REMOVE S-->&longs;ecto 3. cap.
 2461  
 2462 1. explicaui de angulis <lb/>trianguli. </s> 1. explicaui de angulis <lb/>trianguli. </s>
 2463  
 2464  
 2465  
 2466 <s>deinde &longs;cias, quod quando Ari&longs;t.  <s>deinde &longs;cias, quod quando Ari&longs;t.
 2467  
 2468 ait, hoc, quod e&longs;t in &longs;emicir cu&shy;<lb/>lo triangulum, &amp;c. </s> ait, hoc, quod e&longs;t in &longs;emicir cu&shy;<lb/>lo triangulum, &amp;c. </s>
 2469  
 2470 <s>alludit ad demon&longs;trationem quandam, quam ip&longs;e infe&shy;<lb/>rius in exemplum adducet, &amp; qu&aelig; e&longs;t in 3. Elem.  <s>alludit ad demon&longs;trationem quandam, quam ip&longs;e infe&shy;<lb/>rius in exemplum adducet, &amp; qu&aelig; e&longs;t in 3. Elem.
 2471  
 2472 Euclidis 31. in qua talis fi&shy;<lb/>gura proponitur qualis e&longs;t pr&aelig;&longs;ens, in qua vides triangulum A B C. in &longs;e&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.046.1.tif"/><lb/>micirculo. </s> Euclidis 31. in qua talis fi&shy;<lb/>gura proponitur qualis e&longs;t pr&aelig;&longs;ens, in qua vides triangulum A B C. in &longs;e&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.046.1.tif"/><lb/>micirculo. </s>
 2473  
 2474 <s>tunc autem dicitur triangulum in <lb/>&longs;emicirculo, quando ba&longs;is ip&longs;ius e&longs;t diameter <lb/>&longs;emicirculi, &amp; reliqua duo latera ita concur&shy;<lb/>runt &longs;imul in angulum B, vt ip&longs;um paricer in <lb/>circumferentia con&longs;tituant, quibus pr&ecedil;mi&longs;sis <lb/>&longs;ic textum explicaueris: quod enim omne <lb/>triangulum habet tres angulos &aelig;quales duo&shy;<lb/>bus rectis angulis pr&aelig;&longs;ciuit vniuer&longs;aliter per <lb/>32. primi; quod autem hoc particulare triangulum A B C, quod e&longs;t in &longs;e&shy;<lb/>micirculo habeat eandem proprietatem, &longs;imul, ac qui&longs;piam animaduertit <lb/>illud e&longs;&longs;e triangulum cogno&longs;cit, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla demon&longs;tratione, &longs;ed &longs;olum virtu&shy;<lb/>te illius maioris propo&longs;itionis; omne triangulum habet tres, &amp;c.</s></p><p type="main"> <s>tunc autem dicitur triangulum in <lb/>&longs;emicirculo, quando ba&longs;is ip&longs;ius e&longs;t diameter <lb/>&longs;emicirculi, &amp; reliqua duo latera ita concur&shy;<lb/>runt &longs;imul in angulum B, vt ip&longs;um paricer in <lb/>circumferentia con&longs;tituant, quibus pr&ecedil;mi&longs;sis <lb/>&longs;ic textum explicaueris: quod enim omne <lb/>triangulum habet tres angulos &aelig;quales duo&shy;<lb/>bus rectis angulis pr&aelig;&longs;ciuit vniuer&longs;aliter per <lb/>32. primi; quod autem hoc particulare triangulum A B C, quod e&longs;t in &longs;e&shy;<lb/>micirculo habeat eandem proprietatem, &longs;imul, ac qui&longs;piam animaduertit <lb/>illud e&longs;&longs;e triangulum cogno&longs;cit, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla demon&longs;tratione, &longs;ed &longs;olum virtu&shy;<lb/>te illius maioris propo&longs;itionis; omne triangulum habet tres, &amp;c.</s></p><p type="main">
 2475  
 2476 <s><arrow.to.target n="marg20"/></s></p><p type="margin"> <s><arrow.to.target n="marg20"/></s></p><p type="margin">
 2477  
 2478 <s><margin.target id="marg20"/>20</s></p><p type="main"> <s><margin.target id="marg20"/>20</s></p><p type="main">
 2479  
 2480 <s>Tex. 5. <emph type="italics"/>(Vera quidem igitur oporter e&longs;&longs;e, quoniam non e&longs;t non ens &longs;cire, vt quod <lb/>diameter &longs;it commen&longs;urabi is)<emph.end type="italics"/> con&longs;ule ea, qu&aelig; &longs;crip&longs;imus ad cap.  <s>Tex. 5. <emph type="italics"/>(Vera quidem igitur oporter e&longs;&longs;e, quoniam non e&longs;t non ens &longs;cire, vt quod <lb/>diameter &longs;it commen&longs;urabi is)<emph.end type="italics"/> con&longs;ule ea, qu&aelig; &longs;crip&longs;imus ad cap.
 2481  
 2482 23. primi <lb/>Priorum, &longs;ecto 1. &longs;ine quibus locus hic &longs;atis intelligi nequit; ijs autem per&shy;<lb/>ceptis &longs;ic <expan abbr="loc&utilde;">locum</expan> hunc explicare po&longs;&longs;umus, cum diameter quadrati &longs;it incom&shy;<pb pagenum="47"/>men&longs;urabilis lateri &longs;ui quadrati, fal&longs;um erit dicere diametrum e&longs;&longs;e com&shy;<lb/>men&longs;urabilem pr&aelig;dicto 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></p><p type="main"> 23. primi <lb/>Priorum, &longs;ecto 1. &longs;ine quibus locus hic &longs;atis intelligi nequit; ijs autem per&shy;<lb/>ceptis &longs;ic <expan abbr="loc&utilde;">locum</expan> hunc explicare po&longs;&longs;umus, cum diameter quadrati &longs;it incom&shy;<pb pagenum="47"/>men&longs;urabilis lateri &longs;ui quadrati, fal&longs;um erit dicere diametrum e&longs;&longs;e com&shy;<lb/>men&longs;urabilem pr&aelig;dicto 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></p><p type="main">
 2483  
 2484 <s><arrow.to.target n="marg21"/></s></p><p type="margin"> <s><arrow.to.target n="marg21"/></s></p><p type="margin">
 2485  
 2486 <s><margin.target id="marg21"/>21</s></p><p type="main"> <s><margin.target id="marg21"/>21</s></p><p type="main">
 2487  
 2488 <s>Hoc eodem cap.  <s>Hoc eodem cap.
 2489  
 2490 plura dicuntur de Principijs Demon&longs;trationis, &longs;iue &longs;cien&shy;<lb/>ti&aelig;, vt &longs;unt Dignitates, Po&longs;itiones, Definitiones, &amp; &longs;imilia, qu&aelig; quo modo <lb/>&longs;e habeant, &amp; quo modo illis Demon&longs;trationes innitantur, optim&egrave; ex con&shy;<lb/>templatione primi libri Elem.  plura dicuntur de Principijs Demon&longs;trationis, &longs;iue &longs;cien&shy;<lb/>ti&aelig;, vt &longs;unt Dignitates, Po&longs;itiones, Definitiones, &amp; &longs;imilia, qu&aelig; quo modo <lb/>&longs;e habeant, &amp; quo modo illis Demon&longs;trationes innitantur, optim&egrave; ex con&shy;<lb/>templatione primi libri Elem.
 2491  
 2492 Euclidis percipi pote&longs;t. </s> Euclidis percipi pote&longs;t. </s>
 2493  
 2494 <s>vt propterea ben&egrave; ij <lb/>&longs;entiant, inter quos pr&aelig;cipui &longs;unt Toletus, &amp; Zabarella, qui a&longs;&longs;erunt, Ari&longs;t. <lb/>Mathematicas &longs;cientias tamquam typum perfecti&longs;simarum &longs;cientiarum <lb/>&longs;ibi ob oculos propo&longs;ui&longs;&longs;e; ex quo typo ver&aelig; &longs;cienti&aelig; de&longs;criptionem his li&shy;<lb/>bris complectaretur.</s></p><p type="main"> <s>vt propterea ben&egrave; ij <lb/>&longs;entiant, inter quos pr&aelig;cipui &longs;unt Toletus, &amp; Zabarella, qui a&longs;&longs;erunt, Ari&longs;t. <lb/>Mathematicas &longs;cientias tamquam typum perfecti&longs;simarum &longs;cientiarum <lb/>&longs;ibi ob oculos propo&longs;ui&longs;&longs;e; ex quo typo ver&aelig; &longs;cienti&aelig; de&longs;criptionem his li&shy;<lb/>bris complectaretur.</s></p><p type="main">
 2495  
 2496 <s><arrow.to.target n="marg22"/></s></p><p type="margin"> <s><arrow.to.target n="marg22"/></s></p><p type="margin">
 2497  
 2498 <s><margin.target id="marg22"/>22</s></p><p type="main"> <s><margin.target id="marg22"/>22</s></p><p type="main">
 2499  
 2500 <s>Eodem tex. <!-- REMOVE S-->5. <emph type="italics"/>(Ponit enim Arithmeticus vnitatem indiui&longs;ibilem e&longs;&longs;e &longs;ecun&shy;<lb/>dum quantum)<emph.end type="italics"/> hoc quamquam non ponatur ab Arithmeticis expre&longs;s&egrave;, pr&aelig;&shy;<lb/>&longs;upponitur tamen ab eis: nu&longs;quam enim Euclides in totis tribus Arithme&shy;<lb/>ticis libris, infra vnitatem de&longs;cendit, vt propterea appareat, ip&longs;am in quan&shy;<lb/>titate di&longs;creta e&longs;&longs;e minimum, &amp; indiui&longs;ibile. </s> <s>Eodem tex. <!-- REMOVE S-->5. <emph type="italics"/>(Ponit enim Arithmeticus vnitatem indiui&longs;ibilem e&longs;&longs;e &longs;ecun&shy;<lb/>dum quantum)<emph.end type="italics"/> hoc quamquam non ponatur ab Arithmeticis expre&longs;s&egrave;, pr&aelig;&shy;<lb/>&longs;upponitur tamen ab eis: nu&longs;quam enim Euclides in totis tribus Arithme&shy;<lb/>ticis libris, infra vnitatem de&longs;cendit, vt propterea appareat, ip&longs;am in quan&shy;<lb/>titate di&longs;creta e&longs;&longs;e minimum, &amp; indiui&longs;ibile. </s>
 2501  
 2502  
 2503  
 2504 <s>Verum dubitabit forr&egrave; qui&longs;&shy;<lb/>piam hoc modo, &longs;i vnitas minimum, <expan abbr="atq;">atque</expan> indiui&longs;ibile e&longs;t in quanto di&longs;creto, <lb/>qua igitur ratione Arithmetici practici eam diuidunt in dimidium, in trien&shy;<lb/>tem, in quadrantem, &amp; alijs &longs;imiliter modis, vnde numeri illi, qui fractio&shy;<lb/>nes appellantur, exurgunt? </s> <s>Verum dubitabit forr&egrave; qui&longs;&shy;<lb/>piam hoc modo, &longs;i vnitas minimum, <expan abbr="atq;">atque</expan> indiui&longs;ibile e&longs;t in quanto di&longs;creto, <lb/>qua igitur ratione Arithmetici practici eam diuidunt in dimidium, in trien&shy;<lb/>tem, in quadrantem, &amp; alijs &longs;imiliter modis, vnde numeri illi, qui fractio&shy;<lb/>nes appellantur, exurgunt? </s>
 2505  
 2506 <s>Re&longs;pondemus, <expan abbr="quotie&longs;eunq;">quotie&longs;eunque</expan> vnitas diuiditur ab <lb/>Arithmeticis, tunc ip&longs;i eam accipiunt tanquam totum quoddam <expan abbr="c&otilde;tinuum">continuum</expan> <lb/>in plures partes diui&longs;ibile: &longs;iue tanquam aggregatum quoddam vnitatum, <lb/>qu&aelig; vnitates &longs;unt partes illius, vt quando dicunt, vnum hor&aelig; quadrantem, <lb/>vel duos hor&aelig; quadrantes, vel tres hor&aelig; quadrantes, accipiunt horam tan&shy;<lb/>quam aggregatum quatuor quadrantum, &amp; propterea numeri illi 1/4. 2/4. 3/4. <lb/>&amp; &longs;imiles fractiones, nihil aliud &longs;unt, quam numeri partium vnius hor&aelig;: ex <lb/>quo patet huiu&longs;modi fractiones omnes reduci ad numeros integros, qui <lb/>enim dicit tres quadrantes 3/4. dicit tres partes alicuius totius, quod intel&shy;<lb/>ligitur diui&longs;um e&longs;&longs;e in 4. &aelig;quales partes, ex quibus ill&aelig; tres tantummodo <lb/>numerat.</s></p><p type="main"> <s>Re&longs;pondemus, <expan abbr="quotie&longs;eunq;">quotie&longs;eunque</expan> vnitas diuiditur ab <lb/>Arithmeticis, tunc ip&longs;i eam accipiunt tanquam totum quoddam <expan abbr="c&otilde;tinuum">continuum</expan> <lb/>in plures partes diui&longs;ibile: &longs;iue tanquam aggregatum quoddam vnitatum, <lb/>qu&aelig; vnitates &longs;unt partes illius, vt quando dicunt, vnum hor&aelig; quadrantem, <lb/>vel duos hor&aelig; quadrantes, vel tres hor&aelig; quadrantes, accipiunt horam tan&shy;<lb/>quam aggregatum quatuor quadrantum, &amp; propterea numeri illi 1/4. 2/4. 3/4. <lb/>&amp; &longs;imiles fractiones, nihil aliud &longs;unt, quam numeri partium vnius hor&aelig;: ex <lb/>quo patet huiu&longs;modi fractiones omnes reduci ad numeros integros, qui <lb/>enim dicit tres quadrantes 3/4. dicit tres partes alicuius totius, quod intel&shy;<lb/>ligitur diui&longs;um e&longs;&longs;e in 4. &aelig;quales partes, ex quibus ill&aelig; tres tantummodo <lb/>numerat.</s></p><p type="main">
 2507  
 2508 <s><arrow.to.target n="marg23"/></s></p><p type="margin"> <s><arrow.to.target n="marg23"/></s></p><p type="margin">
 2509  
 2510 <s><margin.target id="marg23"/>23</s></p><p type="main"> <s><margin.target id="marg23"/>23</s></p><p type="main">
 2511  
 2512 <s>Tex. 9. <emph type="italics"/>(Per &longs;e autem, <expan abbr="qu&aelig;cunq;">qu&aelig;cunque</expan> &amp; in&longs;unt in eo, quod quid e&longs;t, vt triangulo li&shy;<lb/>nea, &amp; line&aelig; punctum; &longs;ub&longs;tantia <expan abbr="namq;">namque</expan> ip&longs;orum ex his e&longs;t, &amp; in oratione dicen&shy;<lb/>te, quid e&longs;t, in&longs;unt)<emph.end type="italics"/> aggreditur explicare qu&aelig;nam &longs;int ea, qu&aelig; per &longs;e dicun&shy;<lb/>tur: <expan abbr="quot&qacute;">quotque</expan>; modis dicatur aliquid per &longs;e. </s> <s>Tex. 9. <emph type="italics"/>(Per &longs;e autem, <expan abbr="qu&aelig;cunq;">qu&aelig;cunque</expan> &amp; in&longs;unt in eo, quod quid e&longs;t, vt triangulo li&shy;<lb/>nea, &amp; line&aelig; punctum; &longs;ub&longs;tantia <expan abbr="namq;">namque</expan> ip&longs;orum ex his e&longs;t, &amp; in oratione dicen&shy;<lb/>te, quid e&longs;t, in&longs;unt)<emph.end type="italics"/> aggreditur explicare qu&aelig;nam &longs;int ea, qu&aelig; per &longs;e dicun&shy;<lb/>tur: <expan abbr="quot&qacute;">quotque</expan>; modis dicatur aliquid per &longs;e. </s>
 2513  
 2514 <s>quorum primus e&longs;t, ea &longs;cilicet, <lb/>per &longs;e de aliquo &longs;ubiecto dici, <expan abbr="qu&aelig;cunq;">qu&aelig;cunque</expan> in definitione illius ponuntur, cu&shy;<lb/>iu&longs;modi &longs;unt linea, &amp; punctum, qu&aelig; per &longs;e pr&aelig;dicantur, illa de triangulo, <lb/>i&longs;tud de linea; in de&longs;initione enim trianguli ponitur linea recta, quia linea <lb/>recta dum terminat illam &longs;uperficiem, qu&aelig; dicitur triangulus illi trianguli <lb/>naturam impertitur, &amp; ideo triangulus definitur &longs;ic, triangulus e&longs;t figura <lb/>tribus lineis rectis terminata. </s> <s>quorum primus e&longs;t, ea &longs;cilicet, <lb/>per &longs;e de aliquo &longs;ubiecto dici, <expan abbr="qu&aelig;cunq;">qu&aelig;cunque</expan> in definitione illius ponuntur, cu&shy;<lb/>iu&longs;modi &longs;unt linea, &amp; punctum, qu&aelig; per &longs;e pr&aelig;dicantur, illa de triangulo, <lb/>i&longs;tud de linea; in de&longs;initione enim trianguli ponitur linea recta, quia linea <lb/>recta dum terminat illam &longs;uperficiem, qu&aelig; dicitur triangulus illi trianguli <lb/>naturam impertitur, &amp; ideo triangulus definitur &longs;ic, triangulus e&longs;t figura <lb/>tribus lineis rectis terminata. </s>
 2515  
 2516 <s>&longs;imiliter in definitione line&aelig;, non in&longs;init&aelig;, <lb/>&longs;ed finit&aelig;, &amp; terminat&aelig; ponitur punctum, quia duo puncta, qu&aelig; &longs;unt extre&shy;<lb/>ma illius, faciunt, vt ea &longs;it line a finita, &amp; definitur &longs;ic, linea finita e&longs;t lon&shy;<lb/>gitudo, caius extrema &longs;unt puncta. </s> <s>&longs;imiliter in definitione line&aelig;, non in&longs;init&aelig;, <lb/>&longs;ed finit&aelig;, &amp; terminat&aelig; ponitur punctum, quia duo puncta, qu&aelig; &longs;unt extre&shy;<lb/>ma illius, faciunt, vt ea &longs;it line a finita, &amp; definitur &longs;ic, linea finita e&longs;t lon&shy;<lb/>gitudo, caius extrema &longs;unt puncta. </s>
 2517  
 2518 <s>quamuis autem h&aelig;c definitio apud Eu&shy;<lb/>clidem expre&longs;&longs;a non habeatur, tamen ex definitionibus ip&longs;ius pr&aelig;&longs;ertim &longs;e&shy;<lb/>cunda, tertia, &amp; quarta elici pote&longs;t.</s></p><p type="main"> <s>quamuis autem h&aelig;c definitio apud Eu&shy;<lb/>clidem expre&longs;&longs;a non habeatur, tamen ex definitionibus ip&longs;ius pr&aelig;&longs;ertim &longs;e&shy;<lb/>cunda, tertia, &amp; quarta elici pote&longs;t.</s></p><p type="main">
 2519  
 2520 <s><arrow.to.target n="marg24"/></s></p><p type="margin"> <s><arrow.to.target n="marg24"/></s></p><p type="margin">
 2521  
 2522 <s><margin.target id="marg24"/>24</s></p><p type="main"> <s><margin.target id="marg24"/>24</s></p><p type="main">
 2523  
 2524 <s>Eodem tex. <!-- REMOVE S-->9. <emph type="italics"/>(Et <expan abbr="quibu&longs;cunq;">quibu&longs;cunque</expan> iuexi&longs;tentium ip&longs;is, ip&longs;&aelig; &longs;unt in oratione, quid<emph.end type="italics"/><pb pagenum="48"/><emph type="italics"/>est declarante, quemadmodum rectum ine&longs;t line&aelig;, &amp; circulare: &amp; impar, &amp; par<lb/>numero, &amp; primum, &amp; compo&longs;itum, &amp; &aelig;quilaterum, &amp; altera parte longius. </s> <s>Eodem tex. <!-- REMOVE S-->9. <emph type="italics"/>(Et <expan abbr="quibu&longs;cunq;">quibu&longs;cunque</expan> iuexi&longs;tentium ip&longs;is, ip&longs;&aelig; &longs;unt in oratione, quid<emph.end type="italics"/><pb pagenum="48"/><emph type="italics"/>est declarante, quemadmodum rectum ine&longs;t line&aelig;, &amp; circulare: &amp; impar, &amp; par<lb/>numero, &amp; primum, &amp; compo&longs;itum, &amp; &aelig;quilaterum, &amp; altera parte longius. </s>
 2525  
 2526  
 2527  
 2528 <s>&amp; <lb/><expan abbr="o&itilde;bus">oimbus</expan> bis in&longs;unt in oratione, quid e&longs;t <expan abbr="declar&atilde;te">declarante</expan>, ibi quidem linea, hic vero numerus)<emph.end type="italics"/><lb/>quia locus hic ben&egrave; exponitur &agrave; Toleto, &amp; melius etiam &agrave; Conymbr. </s> <s>&amp; <lb/><expan abbr="o&itilde;bus">oimbus</expan> bis in&longs;unt in oratione, quid e&longs;t <expan abbr="declar&atilde;te">declarante</expan>, ibi quidem linea, hic vero numerus)<emph.end type="italics"/><lb/>quia locus hic ben&egrave; exponitur &agrave; Toleto, &amp; melius etiam &agrave; Conymbr. </s>
 2529  
 2530 <s>addam <lb/>tantummodo qu&aelig;dam, qu&aelig; ad perfectam eius intelligentiam de&longs;iderantur. <lb/></s> <s>addam <lb/>tantummodo qu&aelig;dam, qu&aelig; ad perfectam eius intelligentiam de&longs;iderantur. <lb/></s>
 2531  
 2532 <s>Sciendum igitur prim&ograve;, nu&longs;quam ab Euclide definiri rectum, circulare, <lb/>impar, par, primum, compo&longs;itum, &aelig;quilaterum, nec altera parte longius: <lb/><expan abbr="ver&utilde;">verum</expan> ab ip&longs;o in definitionibus primi definiri lineam rectam, non tamen cir&shy;<lb/>cularem expre&longs;s&egrave;. </s> <s>Sciendum igitur prim&ograve;, nu&longs;quam ab Euclide definiri rectum, circulare, <lb/>impar, par, primum, compo&longs;itum, &aelig;quilaterum, nec altera parte longius: <lb/><expan abbr="ver&utilde;">verum</expan> ab ip&longs;o in definitionibus primi definiri lineam rectam, non tamen cir&shy;<lb/>cularem expre&longs;s&egrave;. </s>
 2533  
 2534 <s>in definitionibus deinde &longs;eptimi definiri <expan abbr="numer&utilde;">numerum</expan> parem, <lb/>&amp; imparem, item numerum primum, &amp; compofitum, &amp; &aelig;quilaterum, &amp; al&shy;<lb/>tera parte longiorem. </s> <s>in definitionibus deinde &longs;eptimi definiri <expan abbr="numer&utilde;">numerum</expan> parem, <lb/>&amp; imparem, item numerum primum, &amp; compofitum, &amp; &aelig;quilaterum, &amp; al&shy;<lb/>tera parte longiorem. </s>
 2535  
 2536 <s>ex quibus definitionibus po&longs;&longs;unt erui definitiones re&shy;<lb/>cti, circularis, imparis, &amp; c&aelig;terorum, quorum hic Ari&longs;toteles meminit. <lb/></s> <s>ex quibus definitionibus po&longs;&longs;unt erui definitiones re&shy;<lb/>cti, circularis, imparis, &amp; c&aelig;terorum, quorum hic Ari&longs;toteles meminit. <lb/></s>
 2537  
 2538 <s>C&aelig;terum Euclides definitione 11. &longs;eptimi, &longs;ic definit numerum primum: <lb/>primus numerus e&longs;t, quem vnitas &longs;ola metitur. </s> <s>C&aelig;terum Euclides definitione 11. &longs;eptimi, &longs;ic definit numerum primum: <lb/>primus numerus e&longs;t, quem vnitas &longs;ola metitur. </s>
 2539  
 2540 <s>numerus autem, vel vnitas <lb/>metiri dicitur alium numerum, quando &longs;&aelig;pius repetita ip&longs;um omnino ad&shy;<lb/>&aelig;quat, vt ternarius metitur nouenarium, quia ter repetitus ip&longs;um ad vn&shy;<lb/>guem explet. </s> <s>numerus autem, vel vnitas <lb/>metiri dicitur alium numerum, quando &longs;&aelig;pius repetita ip&longs;um omnino ad&shy;<lb/>&aelig;quat, vt ternarius metitur nouenarium, quia ter repetitus ip&longs;um ad vn&shy;<lb/>guem explet. </s>
 2541  
 2542 <s>illi igitur numeri dicuntur ab Arithmeticis primi, qui &agrave; nullo <lb/>alio, pr&aelig;terquam ab vnitate men&longs;urantur, quales &longs;unt, 2. 3. 5. 7. &amp;c. </s> <s>illi igitur numeri dicuntur ab Arithmeticis primi, qui &agrave; nullo <lb/>alio, pr&aelig;terquam ab vnitate men&longs;urantur, quales &longs;unt, 2. 3. 5. 7. &amp;c. </s>
 2543  
 2544 <s>Defi&shy;<lb/>nitione ver&ograve; 13. definit numerum compo&longs;itum &longs;ic; compo&longs;itus numerus e&longs;t, <lb/>quem numerus qui&longs;piam metitur, vt &longs;enarius erit compo&longs;itus, quia ip&longs;um <lb/>binarius metitur, nam ter repetitus, ip&longs;i perfect&egrave; ad&aelig;quatur.</s></p><p type="main"> <s>Defi&shy;<lb/>nitione ver&ograve; 13. definit numerum compo&longs;itum &longs;ic; compo&longs;itus numerus e&longs;t, <lb/>quem numerus qui&longs;piam metitur, vt &longs;enarius erit compo&longs;itus, quia ip&longs;um <lb/>binarius metitur, nam ter repetitus, ip&longs;i perfect&egrave; ad&aelig;quatur.</s></p><p type="main">
 2545  
 2546 <s>Per &aelig;quilaterum, intelligit quadratum, quadratus autem numerus defi&shy;<lb/>nitione 18. &longs;eptimi &longs;ic explicatur: Quadratus numerus e&longs;t, qui &longs;ub duobus <lb/>&aelig;qualibus numeris continetur, ide&longs;t, qui fit ex ductu vnius numeri in &longs;e ip&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.048.1.tif"/><lb/>&longs;um, vt &longs;i ducantur 3. in 3. fient 9. qui continetur &longs;ub duobus <lb/>ternarijs; omnes autem ternarij &longs;unt &aelig;quales. </s> <s>Per &aelig;quilaterum, intelligit quadratum, quadratus autem numerus defi&shy;<lb/>nitione 18. &longs;eptimi &longs;ic explicatur: Quadratus numerus e&longs;t, qui &longs;ub duobus <lb/>&aelig;qualibus numeris continetur, ide&longs;t, qui fit ex ductu vnius numeri in &longs;e ip&shy;<lb/><figure place="text" xlink:href="figures-la/009.01.048.1.tif"/><lb/>&longs;um, vt &longs;i ducantur 3. in 3. fient 9. qui continetur &longs;ub duobus <lb/>ternarijs; omnes autem ternarij &longs;unt &aelig;quales. </s>
 2547  
 2548 <s>is autem nu&shy;<lb/>merus dicetur quadratus, quia, vt apparet in figura, nouem <lb/>ip&longs;ius vnitates po&longs;&longs;unt in plano ita ad inuicem collocari, vt <lb/>referant quadratum; &amp; &longs;icuti quadratum geometricum ha&shy;<lb/>bet latera &aelig;qualia, ita etiam quadratum arithmeticum: &longs;i&shy;<lb/>ue numerus quadratus, habet &longs;ua latera &aelig;qualia, quot enim vnitates &longs;unt <lb/>in vno, tot etiam &longs;unt in reliquis, vt in pr&aelig;&longs;enti &longs;unt tres vnitates in &longs;ingulis <lb/>lateribus. </s> <s>is autem nu&shy;<lb/>merus dicetur quadratus, quia, vt apparet in figura, nouem <lb/>ip&longs;ius vnitates po&longs;&longs;unt in plano ita ad inuicem collocari, vt <lb/>referant quadratum; &amp; &longs;icuti quadratum geometricum ha&shy;<lb/>bet latera &aelig;qualia, ita etiam quadratum arithmeticum: &longs;i&shy;<lb/>ue numerus quadratus, habet &longs;ua latera &aelig;qualia, quot enim vnitates &longs;unt <lb/>in vno, tot etiam &longs;unt in reliquis, vt in pr&aelig;&longs;enti &longs;unt tres vnitates in &longs;ingulis <lb/>lateribus. </s>
 2549  
 2550 <s>pr&ecedil;terea quemadmodum quadratum geometricum re&longs;olni pote&longs;t <lb/>in plura quadrata, ita etiam arithmeticum, vt pr&aelig;&longs;ens, qui re&longs;oluitur in <lb/>quatuor quadrata arithmetica. </s> <s>pr&ecedil;terea quemadmodum quadratum geometricum re&longs;olni pote&longs;t <lb/>in plura quadrata, ita etiam arithmeticum, vt pr&aelig;&longs;ens, qui re&longs;oluitur in <lb/>quatuor quadrata arithmetica. </s>
 2551  
 2552 <s><expan abbr="Neq;">Neque</expan> enim pote&longs;t quilibet numerus, vt opi&shy;<lb/>nantur ageometreti, in hunc modum di&longs;poni, &longs;ed &longs;olum ij, qui producuntur <lb/>ex multiplicatione numeri alicuius in &longs;e ip&longs;um.</s></p><p type="main"> <s><expan abbr="Neq;">Neque</expan> enim pote&longs;t quilibet numerus, vt opi&shy;<lb/>nantur ageometreti, in hunc modum di&longs;poni, &longs;ed &longs;olum ij, qui producuntur <lb/>ex multiplicatione numeri alicuius in &longs;e ip&longs;um.</s></p><p type="main">
 2553  
 2554 <s>Per altera parte longius, intelligit numerum, qui producitur &agrave; duobus <lb/><figure place="text" xlink:href="figures-la/009.01.048.2.tif"/><lb/>numeris in&aelig;qualibus inuicem multiplicatis, qualis e&longs;t <lb/>duodenarius, qui ex ductu trium in quatuor produci&shy;<lb/>tur, &amp; refert figuram altera parte longiorem, &longs;iue, vt <lb/>ait Boetius longilateram, cuius vnum latus e&longs;t maius <lb/>altero, vt in appo&longs;ita figura videre licet. </s> <s>Per altera parte longius, intelligit numerum, qui producitur &agrave; duobus <lb/><figure place="text" xlink:href="figures-la/009.01.048.2.tif"/><lb/>numeris in&aelig;qualibus inuicem multiplicatis, qualis e&longs;t <lb/>duodenarius, qui ex ductu trium in quatuor produci&shy;<lb/>tur, &amp; refert figuram altera parte longiorem, &longs;iue, vt <lb/>ait Boetius longilateram, cuius vnum latus e&longs;t maius <lb/>altero, vt in appo&longs;ita figura videre licet. </s>
 2555  
 2556 <s>atque h&aelig;c <lb/>&longs;unt, qu&aelig; ex Mathematicis petenda erant, ad huius <lb/>loci intelligentiam.</s></p><p type="main"> <s>atque h&aelig;c <lb/>&longs;unt, qu&aelig; ex Mathematicis petenda erant, ad huius <lb/>loci intelligentiam.</s></p><p type="main">
 2557  
 2558 <s><arrow.to.target n="marg25"/></s></p><p type="margin"> <s><arrow.to.target n="marg25"/></s></p><p type="margin">
 2559  
 2560 <s><margin.target id="marg25"/>25</s></p><p type="main"> <s><margin.target id="marg25"/>25</s></p><p type="main">
 2561  
 2562 <s>Tex. 11. <emph type="italics"/>(Per &longs;e autem, &amp; &longs;ecundum quod ip&longs;um, idem, vt per &longs;e line&aelig; inest<emph.end type="italics"/><pb pagenum="49"/><emph type="italics"/>punctum, &amp; rectum; etenim &longs;ecundum quod linea, &amp; triangulo, &longs;ecundum quod <lb/>triangulum duo recti: etenim per &longs;e triangulum duobus rectis &aelig;quale. </s> <s>Tex. 11. <emph type="italics"/>(Per &longs;e autem, &amp; &longs;ecundum quod ip&longs;um, idem, vt per &longs;e line&aelig; inest<emph.end type="italics"/><pb pagenum="49"/><emph type="italics"/>punctum, &amp; rectum; etenim &longs;ecundum quod linea, &amp; triangulo, &longs;ecundum quod <lb/>triangulum duo recti: etenim per &longs;e triangulum duobus rectis &aelig;quale. </s>
 2563  
 2564 <s>Vniuer&longs;ale <lb/>autem e&longs;t tunc, quando in quolibet, &amp; primo mon&longs;tratur, vt duos rectos habere, <lb/><expan abbr="neq;">neque</expan> figur&aelig; e&longs;t vniuer&longs;ale, quamuis e&longs;t mon&longs;irare de figura, quod duos rectos habet, <lb/>&longs;ed non de qualibet figura, <expan abbr="neq;">neque</expan> vtitur qualibet figura monstrans, quadrangulum <lb/>enim figura a quidem est, non habet autem duobus rectis &aelig;quales. </s> <s>Vniuer&longs;ale <lb/>autem e&longs;t tunc, quando in quolibet, &amp; primo mon&longs;tratur, vt duos rectos habere, <lb/><expan abbr="neq;">neque</expan> figur&aelig; e&longs;t vniuer&longs;ale, quamuis e&longs;t mon&longs;irare de figura, quod duos rectos habet, <lb/>&longs;ed non de qualibet figura, <expan abbr="neq;">neque</expan> vtitur qualibet figura monstrans, quadrangulum <lb/>enim figura a quidem est, non habet autem duobus rectis &aelig;quales. </s>
 2565  
 2566 <s>Aequicrus ver&ograve; <lb/>babet quidem <expan abbr="quodcunq;">quodcunque</expan> duobus rectis &aelig;quales, &longs;ed non prim&ograve;, &longs;ed triangulum <lb/>prius. </s> <s>Aequicrus ver&ograve; <lb/>babet quidem <expan abbr="quodcunq;">quodcunque</expan> duobus rectis &aelig;quales, &longs;ed non prim&ograve;, &longs;ed triangulum <lb/>prius. </s>
 2567  
 2568 <s>quod igitur quoduis primum mon&longs;tratur duos rectos habens, aut <expan abbr="quodcunq;">quodcunque</expan> <lb/>aliud, huic primo ine&longs;t vniuer&longs;ale, &amp; demonstratio de hoc vniuer&longs;aliter e&longs;t, de alijs <lb/>ver&ograve; quodammodo, non per &longs;e, <expan abbr="neq;">neque</expan> de &aelig;quicrure e&longs;t vniuer&longs;aliter, &longs;ed in plus)<emph.end type="italics"/> pro <lb/>quorum intelligentia nece&longs;&longs;aria &longs;unt ea, qu&aelig; primo Priorum &longs;ecto 3. cap.  <s>quod igitur quoduis primum mon&longs;tratur duos rectos habens, aut <expan abbr="quodcunq;">quodcunque</expan> <lb/>aliud, huic primo ine&longs;t vniuer&longs;ale, &amp; demonstratio de hoc vniuer&longs;aliter e&longs;t, de alijs <lb/>ver&ograve; quodammodo, non per &longs;e, <expan abbr="neq;">neque</expan> de &aelig;quicrure e&longs;t vniuer&longs;aliter, &longs;ed in plus)<emph.end type="italics"/> pro <lb/>quorum intelligentia nece&longs;&longs;aria &longs;unt ea, qu&aelig; primo Priorum &longs;ecto 3. cap.
 2569  
 2570 1. <lb/>&longs;crip&longs;imus. </s> 1. <lb/>&longs;crip&longs;imus. </s>
 2571  
 2572 <s>deinde memineris figuram vniuer&longs;aliorem e&longs;&longs;e triangulo, &amp; tri&shy;<lb/>angulum vniuer&longs;alius &aelig;quicrure. </s> <s>deinde memineris figuram vniuer&longs;aliorem e&longs;&longs;e triangulo, &amp; tri&shy;<lb/>angulum vniuer&longs;alius &aelig;quicrure. </s>
 2573  
 2574 <s>quando ait (vt duos rectos habere) vult <lb/>dicere, habere duos angulos rectos non actu, &longs;ed potentia; qu&aelig; affectio e&longs;t <lb/>trianguli, quia, vt &longs;uperius diximus, habet tres angulos &aelig;quales duobus <lb/>rectis angulis: qu&aelig; proprietas vniuer&longs;aliter, &amp; prim&ograve; competit triangulo. <lb/></s> <s>quando ait (vt duos rectos habere) vult <lb/>dicere, habere duos angulos rectos non actu, &longs;ed potentia; qu&aelig; affectio e&longs;t <lb/>trianguli, quia, vt &longs;uperius diximus, habet tres angulos &aelig;quales duobus <lb/>rectis angulis: qu&aelig; proprietas vniuer&longs;aliter, &amp; prim&ograve; competit triangulo. <lb/></s>
 2575  
 2576 <s>non autem figur&aelig;, quia figura e&longs;t vniuer&longs;alior. </s> <s>non autem figur&aelig;, quia figura e&longs;t vniuer&longs;alior. </s>
 2577  
 2578 <s><expan abbr="neq;">neque</expan> i&longs;o&longs;celi, quia i&longs;o&longs;celes e&longs;t <lb/>re&longs;trictius triangulo. </s> <s><expan abbr="neq;">neque</expan> i&longs;o&longs;celi, quia i&longs;o&longs;celes e&longs;t <lb/>re&longs;trictius triangulo. </s>
 2579  
 2580 <s>omittimus reliqua &longs;ingillatim exponere, tum quia &longs;a&shy;<lb/>tis clara &longs;unt, tum quia ab interpretibus ben&egrave; explicantur.</s></p><p type="main"> <s>omittimus reliqua &longs;ingillatim exponere, tum quia &longs;a&shy;<lb/>tis clara &longs;unt, tum quia ab interpretibus ben&egrave; explicantur.</s></p><p type="main">
 2581  
 2582 <s><arrow.to.target n="marg26"/></s></p><p type="margin"> <s><arrow.to.target n="marg26"/></s></p><p type="margin">
 2583  
 2584 <s><margin.target id="marg26"/>26</s></p><p type="main"> <s><margin.target id="marg26"/>26</s></p><p type="main">
 2585  
 2586 <s>Tex. 13. <emph type="italics"/>(Si quis igitur mon&longs;trauerit, quod rect&aelig; <expan abbr="n&otilde;">non</expan> coincidunt, videbitur <expan abbr="vtiq;">vtique</expan> <lb/>buius e&longs;&longs;e demonstratio, eo quod in omnibus e&longs;t rectis; non e&longs;t autem: &longs;i quidem <lb/>non quoniam &longs;ic &aelig;quales, fit hoc, &longs;ed &longs;ecundum quod <expan abbr="quomodocunq;">quomodocunque</expan> &aelig;quales)<emph.end type="italics"/> pro&shy;<lb/>ponit tres errores, qui circa demon&longs;trationem de vniuer&longs;ali contingunt, <lb/>quos omnes Geometricis exemplis illu&longs;trat; affert autem primo pro tertio <lb/>errore duo exempla, quorum primum in pr&aelig;mi&longs;&longs;is verbis continetur, <expan abbr="atq;">atque</expan> <lb/>ex 28. primi Elem.  <s>Tex. 13. <emph type="italics"/>(Si quis igitur mon&longs;trauerit, quod rect&aelig; <expan abbr="n&otilde;">non</expan> coincidunt, videbitur <expan abbr="vtiq;">vtique</expan> <lb/>buius e&longs;&longs;e demonstratio, eo quod in omnibus e&longs;t rectis; non e&longs;t autem: &longs;i quidem <lb/>non quoniam &longs;ic &aelig;quales, fit hoc, &longs;ed &longs;ecundum quod <expan abbr="quomodocunq;">quomodocunque</expan> &aelig;quales)<emph.end type="italics"/> pro&shy;<lb/>ponit tres errores, qui circa demon&longs;trationem de vniuer&longs;ali contingunt, <lb/>quos omnes Geometricis exemplis illu&longs;trat; affert autem primo pro tertio <lb/>errore duo exempla, quorum primum in pr&aelig;mi&longs;&longs;is verbis continetur, <expan abbr="atq;">atque</expan> <lb/>ex 28. primi Elem.
 2587  
 2588 de&longs;umitur, quam propterea primo loco exponendam <lb/><figure place="text" xlink:href="figures-la/009.01.049.1.tif"/><lb/>cen&longs;ui. </s> de&longs;umitur, quam propterea primo loco exponendam <lb/><figure place="text" xlink:href="figures-la/009.01.049.1.tif"/><lb/>cen&longs;ui. </s>
 2589  
 2590 <s>Quando igitur du&aelig; rect&aelig; con&longs;titu&shy;<lb/>t&aelig; fuerint, vt A B, C D, in quas alia recta, <lb/>vt G F, incidens, faciat duos angulos in&shy;<lb/>ternos, re&longs;pectu rectarum A B, C D, &amp; ad <lb/>ea&longs;dem partes rect&aelig; E F, vt &longs;unt ex parte <lb/>&longs;ini&longs;tra anguli A G H, C H G; exparte ve&shy;<lb/>r&ograve; dextra B G H, D H G; &longs;i <expan abbr="inqu&atilde;">inquam</expan> linea E F, <lb/>fecerit duos illos angulos ex parte &longs;ini&longs;tra &longs;imul &longs;umptos, &aelig;quales duobus <lb/>rectis angulis, vel duos ex parte dextra pariter &aelig;quales duobus rectis, pro&shy;<lb/>bat Euclides rectas A B, C D, non concurrere, &longs;iue parallelas e&longs;&longs;e. </s> <s>Quando igitur du&aelig; rect&aelig; con&longs;titu&shy;<lb/>t&aelig; fuerint, vt A B, C D, in quas alia recta, <lb/>vt G F, incidens, faciat duos angulos in&shy;<lb/>ternos, re&longs;pectu rectarum A B, C D, &amp; ad <lb/>e