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version 1.4, 2004/01/20 20:13:30

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<?xml version="1.0"?>

<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" >

<info>

<author>Biancani, Giuseppe</author>

<title>Aristotelis loca mathematica</title>

<place>Bologna</place>

<cvs_file>bianc_locam_009_la_1615.xml</cvs_file>

<cvs_file>bianc_locam_01_la_1615</cvs_file>

<cvs_version/>

</info> <text> <front> <pb xlink:href="009/01/001.jpg" /><section>

</info>

<text>

<s id="id.000001">ARISTOTELIS<lb/>LOCA MATHEMATICA<lb/>Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/>& explicata.</s>

<front>

<s id="id.000002"><emph type="italics"/>Aristotelicæ videlicet expo&longs;itionis complementum <lb/>hactenus de&longs;ideratum.<emph.end type="italics"/></s>

<s id="id.000003">Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/><expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s>

<s id="id.000001">ARISTOTELIS <lb/>LOCA MATHEMATICA <lb/>

Ex vniuer&longs;is ip&longs;ius Operibus collecta, <lb/>

<s id="id.000004"><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i è Societate Ie&longs;u, <lb/>Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s>

& explicata.</s>

<s id="id.000005">Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum<lb/>PETRVMFRANCISCVM MALASPINAM<lb/>Aedificiorum Marchionem, apud Cæ&longs;. Maie&longs;tatem <lb/>pro Sereni&longs;s. Parmen&longs;ium Duce Legatum.</s>

<s id="id.000002"><emph type="italics"/>Aristotelicæ videlicet expo&longs;itionis complementum <lb/>

hactenus de&longs;ideratum.<emph.end type="italics"/></s>

<s id="id.000003">Acce&longs;&longs;ere de Natura Mathematicarum &longs;cientiarum Tractatio; <lb/>

<expan abbr="atq;">atque</expan> Clarorum Mathematicorum Chronologia.</s>

<s id="id.000004"><emph type="italics"/>Authore IOSEPHO BLANCANO Bononien&longs;i è Societate Ie&longs;u, <lb/>

Mathematicarum in Gymna&longs;io Parmen&longs;i Profe&longs;&longs;ore.<emph.end type="italics"/></s>

<s id="id.000005">Ad Illu&longs;tri&longs;&longs;imum, ac Nobili&longs;&longs;imum <lb/>PETRVMFRANCISCVM MALASPINAM <lb/>

Aedificiorum Marchionem, apud Cæ&longs;. Maie&longs;tatem <lb/>

pro Sereni&longs;s. Parmen&longs;ium Duce Legatum.</s>

<s id="id.000006">BONONIÆ M. D C. X V.</s>

<s id="id.000007">Apud Bartholomæum Cochium. </s>

<s id="id.000008">Superiorum permi&longs;&longs;u.</s>

<s id="id.000008">Superiorum permi&longs;&longs;u.</s>

<s id="id.000009">Sumptibus Hieronymi Tamburini.</s><pb xlink:href="009/01/002.jpg" /><pb xlink:href="009/01/003.jpg" pagenum="3"/>

<s id="id.000009">Sumptibus Hieronymi Tamburini.</s>

</section>

<section><s id="id.000010">ILLVSTRISSIMO <lb/>AC NOBILISSIMO<lb/>PETROFRANCISCO <lb/>MALASPINAE<lb/>ÆDIFICIORVM MARCHIONI.</s>

<s id="id.000011"><emph type="italics"/>En tandem Illustriß. Marchio opus no<lb/>strum de Locis Mathematicis apud Ari<lb/>stotelem, vnà cum Tractatione de natura <lb/>&longs;cientiarum Mathematicarum, necnon <lb/>Clarorum <expan abbr="Mathematicor&utilde;">Mathematicorum</expan> Chronologia; <lb/>quod tibi Mec&oelig;nati meo munificenti&longs;simo iure meritò <lb/>dicare, ac &longs;ub clarißimi tui nominis patrocinio in lucem <lb/>dare con&longs;titui. </s>

<s id="id.000010">ILLVSTRISSIMO <lb/>AC NOBILISSIMO <lb/>

PETROFRANCISCO <lb/>MALASPINAE <lb/>

ÆDIFICIORVM MARCHIONI.</s>

<s id="id.000012">primùm quidem, vt mei perpetui erga te <lb/>amoris, & ob&longs;eruantiæ hoc vnum &longs;altem specimen exta<lb/>ret: tùm vt idoneum, æquumque propo&longs;itæ rei iudicem <lb/>nanci&longs;cerer. </s>

<s id="id.000011"><emph type="italics"/>En tandem Illustriß. Marchio opus no<lb/>

<s id="id.000013">cùm enim adiu&longs;tum <expan abbr="arbitr&utilde;">arbitrum</expan> duo potißimùm <lb/>requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/>te rei, de qua agitur peritiorem, quemuè prudentiorem <lb/>inuenire potuerim? </s>

strum de Locis Mathematicis apud Ari<lb/>

stotelem, vnà cum Tractatione de natura <lb/>

<s id="id.000014">tu enim cùm Phy&longs;iologiæ, ac Mathe<lb/>maticarum omnium Encyclopædiam mirum in modum<emph.end type="italics"/><pb xlink:href="009/01/004.jpg" pagenum="4"/><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/>per&longs;ua&longs;i&longs;ti, vt Archimedis, & Apollonij admirandis, ac <lb/>&longs;ubtilißimis Demon&longs;trationibus detinearis. </s>

&longs;cientiarum Mathematicarum, necnon <lb/>

Clarorum <expan abbr="Mathematicor&utilde;">Mathematicorum</expan> Chronologia; <lb/>

<s id="id.000015">Quanta por<lb/>rò in rebus agendis prudentia valeas, toti penè Europæ <lb/>innotuit, cùm pro no&longs;tris Sereniß. Ducibus, non &longs;olùm ad <lb/>omnes ferè Italiæ, atque Germaniæ Principes, verùm etiam <lb/>ad Cæ&longs;aream Maie&longs;tatem rebus f&oelig;liciter ge&longs;tis Legatus <lb/>decimùm extiteris; ac demùm à Sereniß. Duce Ranutio <lb/>inter primarios de Rep. </s>

quod tibi Mec&oelig;nati meo munificenti&longs;simo iure meritò <lb/>

dicare, ac &longs;ub clarißimi tui nominis patrocinio in lucem <lb/>

dare con&longs;titui. </s>

<s id="id.000012">primùm quidem, vt mei perpetui erga te <lb/>

amoris, & ob&longs;eruantiæ hoc vnum &longs;altem specimen exta<lb/>

ret: tùm vt idoneum, æquumque propo&longs;itæ rei iudicem <lb/>

<s id="id.000016">Con&longs;iliorum Authores ad&longs;citus <lb/>fueris. </s>

nanci&longs;cerer. </s>

<s id="id.000013">cùm enim adiu&longs;tum <expan abbr="arbitr&utilde;">arbitrum</expan> duo potißimùm <lb/>

<s id="id.000017">Cæterùm in Clarorum Mathematicorum Chro<lb/>nologia perlegenda, &longs;æpißimè tibi nobilißimi æquè, ac do<lb/>ctißimi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/>nonni&longs;i gratißimum accidere po&longs;&longs;e arbitror. </s>

requirantur, rerum &longs;cilicet cognitio, atque prudentia, quem <lb/>

te rei, de qua agitur peritiorem, quemuè prudentiorem <lb/>

<s id="id.000018">Complectere <lb/>igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu<lb/>dia promouere, mea hæc quantulacumque munu&longs;cula. <lb/></s>

inuenire potuerim? </s>

<s id="id.000014">tu enim cùm Phy&longs;iologiæ, ac Mathe<lb/>

<s id="id.000019">quæ &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma<lb/>ximorum munerum loco habenda e&longs;&longs;e cen&longs;e<lb/>bo. </s>

maticarum omnium Encyclopædiam mirum in modum<emph.end type="italics"/> <pb pagenum="4" xlink:href="http://archimedes.fas.harvard.edu/images/009-01-pageimg/009.01.004.jpg"/><emph type="italics"/>excolueris, adintima Mathematicarum penetralia ita <lb/>

per&longs;ua&longs;i&longs;ti, vt Archimedis, & Apollonij admirandis, ac <lb/>

<s id="id.000020">incolumem tibi, ac f&oelig;licem D. Opt. <lb/>Max. longæuitatem tueatur. <lb/></s>

&longs;ubtilißimis Demon&longs;trationibus detinearis. </s>

<s id="id.000015">Quanta por<lb/>

rò in rebus agendis prudentia valeas, toti penè Europæ <lb/>

innotuit, cùm pro no&longs;tris Sereniß. Ducibus, non &longs;olùm ad <lb/>

omnes ferè Italiæ, atque Germaniæ Principes, verùm etiam <lb/>

ad Cæ&longs;aream Maie&longs;tatem rebus f&oelig;liciter ge&longs;tis Legatus <lb/>

decimùm extiteris; ac demùm à Sereniß. Duce Ranutio <lb/>

inter primarios de Rep. </s>

<s id="id.000022"><emph type="italics"/>Parmæ Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/></s></section><pb xlink:href="009/01/005.jpg" pagenum="5"/><section>

<s id="id.000016">Con&longs;iliorum Authores ad&longs;citus <lb/>

fueris. </s>

<s id="id.000023">Liber de &longs;e ip&longs;o.</s>

<s id="id.000017">Cæterùm in Clarorum Mathematicorum Chro<lb/>

nologia perlegenda, &longs;æpißimè tibi nobilißimi æquè, ac do<lb/>

<s id="id.000024"><emph type="italics"/>Nec di&longs;cet Lector me &longs;olo interprete totum, <lb/>Nec &longs;ine me totum di&longs;cet Aristotelem.<emph.end type="italics"/></s>

ctißimi Viri, tui omnino per&longs;imiles occurrent, quod tibi <lb/>

nonni&longs;i gratißimum accidere po&longs;&longs;e arbitror. </s>

<s id="id.000025">Ego Iordanus Ca&longs;&longs;ini Præpo&longs;itus Prouincialis Prouinciæ Venetæ Societatis <lb/>Ie&longs;u, ex auctoritate Adm. Reuer. P. nc&longs;tro Præpo&longs;iti Generalis P. Claudij <lb/>Aquæuiuæ, facultatem concedo, vt hoc opus P. 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, & explicata, à deputatis Patribus recognitum, & ap<lb/>probatum typis mandari po&longs;&longs;it. </s>

<s id="id.000018">Complectere <lb/>

igitur ea benignitate, atque clementia, qua &longs;oles no&longs;tra stu<lb/>

dia promouere, mea hæc quantulacumque munu&longs;cula. <lb/>

</s>

<s id="id.000019">quæ &longs;i tibi accepta e&longs;&longs;e intellexero, iam tandem ma<lb/>

ximorum munerum loco habenda e&longs;&longs;e cen&longs;e<lb/>

bo. </s>

<s id="id.000020">incolumem tibi, ac f&oelig;licem D. Opt. <lb/>

Max. longæuitatem tueatur. <lb/>

</s>

<s id="id.000026">Parmæ die 15. Ianuarij 1615.</s>

<s id="id.000027"><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/>Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s>

<s id="id.000022"><emph type="italics"/>Parmæ Idibus Maij M. DC. XIIII.<emph.end type="italics"/><lb/>

</s>

</section>

<s id="id.000023">Liber de &longs;e ip&longs;o.</s>

<s id="id.000024"><emph type="italics"/>Nec di&longs;cet Lector me &longs;olo interprete totum, <lb/>

Nec &longs;ine me totum di&longs;cet Aristotelem.<emph.end type="italics"/></s>

<s id="id.000025">Ego Iordanus Ca&longs;&longs;ini Præpo&longs;itus Prouincialis Prouinciæ Venetæ Societatis <lb/>

Ie&longs;u, ex auctoritate Adm. Reuer. P. no&longs;tro Præpo&longs;iti Generalis P. Claudij <lb/>

Aquæuiuæ, facultatem concedo, vt hoc opus P. 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, & explicata, à deputatis Patribus recognitum, & ap<lb/>

probatum typis mandari po&longs;&longs;it. </s>

<s id="id.000026">Parmæ die 15. Ianuarij 1615.</s>

<s id="id.000027"><emph type="italics"/>Iordanus Ca&longs;&longs;ini P.<emph.end type="italics"/><lb/>

Don Marcellus Balda&longs;&longs;inus pro Illu&longs;tri&longs;s. </s>

<s id="id.000028">& Reuerendi&longs;s. Archiepi&longs;c. Bonon.</s>

<s id="id.000029">Imprimatur</s>

<s id="id.000029">Imprimatur</s>

<s id="id.000030">Fr. Hieronymus Onuphrius pro Reuerendi&longs;s. P. Inqui&longs;itore Bonon.</s>

</section>

</section><pb xlink:href="009/01/006.jpg" pagenum="6"/><section>

<s id="id.000031">LECTORI.</s>

<s id="id.000031">LECTORI.</s>

<s id="id.000032">Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um<lb/>

<s id="id.000032">Qvod pri&longs;cis olim temporibus (humani&longs;&longs;ime Lector) &longs;um<lb/>mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr<lb/>næus in Platonis Dialogis egregiè perfecerunt, vt videli<lb/>cet quæ pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati<lb/>cis &longs;cripta reliquit, eadem ip&longs;a ab illis &longs;electa, & 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 quæ de Mathematicis re<lb/>bus in vniuer&longs;is eiu&longs;dem monumentis &longs;par&longs;a leguntur, eadem in vnum <lb/>à me collecta, & explicata ijs Philo&longs;ophiæ &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;ophiæ curriculum <lb/>aggrediuntur. </s>

mi duo Philo&longs;ophi, Philippus Mendeus, ac Theon Smyr<lb/>

næus in Platonis Dialogis egregiè perfecerunt, vt videli<lb/>

<s id="id.000033">Vt autem huius operis nece&longs;&longs;itas, <expan abbr="variæ&qacute;">variæque</expan>; vtilitates pla<lb/>nius cogno&longs;cantur operæpretium erit initio illius cau&longs;as exponere; quæ <lb/>me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s>

cet quæ pa&longs;&longs;im &longs;ummus hic Philo&longs;ophus de Mathemati<lb/>

cis &longs;cripta reliquit, eadem ip&longs;a ab illis &longs;electa, & in vnum <lb/>

<s id="id.000034">Prima &longs;it, quod hæc Ari&longs;t.

qua&longs;i corpus redacta lucubrationibus illu&longs;trarent: idem ego quoque in <lb/>

Ari&longs;totelis operibus efficere &longs;um conatus, vt quæ de Mathematicis re<lb/>

loca Mathematica, quæ quidem ferè 408. <lb/>numerantur, pe&longs;&longs;imè latinis literis con&longs;ignata &longs;unt v&longs;que adeò, vt Ari<lb/>&longs;totelem ip&longs;um, vel inuitum (quod po&longs;tea multis in locis planum fiet) in <lb/>ab&longs;urdi&longs;&longs;ima errata &longs;æpi&longs;&longs;imè compellant.</s>

bus in vniuer&longs;is eiu&longs;dem monumentis &longs;par&longs;a leguntur, eadem in vnum <lb/>

à me collecta, & explicata ijs Philo&longs;ophiæ &longs;tudio&longs;is maxime &longs;eruirent, <lb/>

<s id="id.000035">Secunda, quòd plurima huiu&longs;modi loca à nemine, quod &longs;ciam, adhuc <lb/>declarata in tenebris magno no&longs;trorum malo delite&longs;cunt: cuiu&longs;modi <lb/>&longs;unt ad &longs;exaginta problemata, libellus de lineis in &longs;ecabilibus, libellus <lb/>de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, & Mechanicæ quæ&longs;tiones, quamuis <lb/>enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif<lb/>ficiliora non &longs;atis illu&longs;trauit. </s>

qui pri&longs;ca illa con&longs;uetudine relicta, Mathematicarum omnium ignari <lb/>

non &longs;ine graui &longs;tudiorum &longs;uorum detrimento Philo&longs;ophiæ curriculum <lb/>

<s id="id.000036">Vt autem dixi 408. in vniuer&longs;um loca mi<lb/>nimùm numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/>udei/s eisi/to</foreign>; & in quibus Mathematicæ di&longs;ciplinæ rudes, & imperiti, quem <lb/>&longs;equuntur ducem Ari&longs;t.

aggrediuntur. </s>

<s id="id.000033">Vt autem huius operis nece&longs;&longs;itas, <expan abbr="variæ&qacute;">variæque</expan>; vtilitates pla<lb/>

eum &longs;æpe de&longs;erere non &longs;ine turpi dedecoris no<lb/>ta coguntur; quo fit vt exempla illa Mathematica lucem rebus aliquan<lb/>do allatura, tenebras cimmerijs, vt aiunt vmbris cra&longs;&longs;iores ij&longs;dem <lb/>obducant.</s>

nius cogno&longs;cantur operæpretium erit initio illius cau&longs;as exponere; quæ <lb/>

me poti&longs;&longs;imum ad illud con&longs;cribendum compulerunt, quarum</s>

<s id="id.000037">Tertia, quia Græcieorumdem locorum commentatores breuiter, & <lb/>ob&longs;curè admodum ea, quæ ad Mathematicum &longs;pectant, attingunt, hoc <lb/>enim ab ip&longs;is <expan abbr="cert&utilde;">certum</expan> ponitur, Lectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/>Philo &longs;ophorum, Mathematicis imbutum; at verò no&longs;tra ætate magna <lb/>cum Philo&longs;ophiæ iactura, quamplurimi earumdem di&longs;ciplinarum de&longs;ti<lb/>tuti præ&longs;idijs, ne Græcorum quidem Interpretum explanationes, ne<lb/>dum Ari&longs;t.

ob&longs;curè dicta intelligunt.</s><pb xlink:href="009/01/007.jpg" pagenum="7"/>

<s id="id.000034">Prima &longs;it, quod hæc Ari&longs;t. loca Mathematica, quæ quidem ferè 408. <lb/>

numerantur, pe&longs;&longs;imè latinis literis con&longs;ignata &longs;unt v&longs;que adeò, vt Ari<lb/>

&longs;totelem ip&longs;um, vel inuitum (quod po&longs;tea multis in locis planum fiet) in <lb/>

ab&longs;urdi&longs;&longs;ima errata &longs;æpi&longs;&longs;imè compellant.</s>

<s id="id.000035">Secunda, quòd plurima huiu&longs;modi loca à nemine, quod &longs;ciam, adhuc <lb/>

declarata in tenebris magno no&longs;trorum malo delite&longs;cunt: cuiu&longs;modi <lb/>

&longs;unt ad &longs;exaginta problemata, libellus de lineis in &longs;ecabilibus, libellus <lb/>

de mundo, &longs;i tamen Ari&longs;totelis e&longs;t, & Mechanicæ quæ&longs;tiones, quamuis <lb/>

enim Picolomineus in eas paraphra&longs;im ediderit, loca tamen earum dif<lb/>

ficiliora non &longs;atis illu&longs;trauit. </s>

<s id="id.000036">Vt autem dixi 408. in vniuer&longs;um loca mi<lb/>

nimùm numerantur, quibus illud Platonis in&longs;criptum e&longs;t <foreign lang="greek">agaiome/trhtos <lb/>

udei/s eisi/to</foreign>; & in quibus Mathematicæ di&longs;ciplinæ rudes, & imperiti, quem <lb/>

&longs;equuntur ducem Ari&longs;t. eum &longs;æpe de&longs;erere non &longs;ine turpi dedecoris no<lb/>

ta coguntur; quo fit vt exempla illa Mathematica lucem rebus aliquan<lb/>

do allatura, tenebras cimmerijs, vt aiunt vmbris cra&longs;&longs;iores ij&longs;dem <lb/>

obducant.</s>

<s id="id.000037">Tertia, quia Græci eorumdem locorum commentatores breuiter, & <lb/>

ob&longs;curè admodum ea, quæ ad Mathematicum &longs;pectant, attingunt, hoc <lb/>

enim ab ip&longs;is <expan abbr="cert&utilde;">certum</expan> ponitur, Lectorem e&longs;&longs;e, vt moris tunc erat, omnium <lb/>

Philo &longs;ophorum, Mathematicis imbutum; at verò no&longs;tra ætate magna <lb/>

cum Philo&longs;ophiæ iactura, quamplurimi earumdem di&longs;ciplinarum de&longs;ti<lb/>

tuti præ&longs;idijs, ne Græcorum quidem Interpretum explanationes, ne<lb/>

dum Ari&longs;t. ob&longs;curè dicta intelligunt.</s>

<s id="id.000038">Quarta. </s>

<s id="id.000039">Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati<lb/>

<s id="id.000039">Adde, quod etiam &longs;i quis leuiter &longs;it erudito illo Mathemati<lb/>corum puluere con&longs;per&longs;us, adeò tamen peruer&longs;a e&longs;t eorumdem Græco<lb/>rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, quæ nece&longs;&longs;ariæ erant <lb/>confu&longs;io, & deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/>excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s>

corum puluere con&longs;per&longs;us, adeò tamen peruer&longs;a e&longs;t eorumdem Græco<lb/>

rum in Latinum tran&longs;latio, <expan abbr="tanta&qacute;">tantaque</expan>; figurarum, quæ nece&longs;&longs;ariæ erant <lb/>

<s id="id.000040">Quin etiam figuræ illæ, quæ <lb/>omnino nece&longs;&longs;ariæ &longs;unt ob Scriptorum, & Typographorum in&longs;citiam, <lb/>aut inertiam pluribus in locis de&longs;iderantur. </s>

confu&longs;io, & deprauatio, vt nec abeo, qui &longs;it Mathematicarum &longs;cientia <lb/>

excultus, &longs;ine magno labore percipi po&longs;&longs;int. </s>

<s id="id.000041">Latini verò multo minus, <lb/>quàm Græci Mathematicæ periti, qua ratione eadem loca pertractaue<lb/>rint, facilius e&longs;t conijcere, quàm vt dici oporteat.</s>

<s id="id.000040">Quin etiam figuræ illæ, quæ <lb/>

omnino nece&longs;&longs;ariæ &longs;unt ob Scriptorum, & Typographorum in&longs;citiam, <lb/>

aut inertiam pluribus in locis de&longs;iderantur. </s>

<s id="id.000041">Latini verò multo minus, <lb/>

quàm Græci Mathematicæ periti, qua ratione eadem loca pertractaue<lb/>

rint, facilius e&longs;t conijcere, quàm vt dici oporteat.</s>

<s id="id.000042">Quinta. </s>

<s id="id.000043">Ex his omnibus in aliud incommodum, vel maximum Phi<lb/>

<s id="id.000043">Ex his omnibus in aliud incommodum, vel maximum Phi<lb/>lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta<lb/>citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t.

lo&longs;ophi quidam incidebant; aut enim horum locorum expo&longs;itionem ta<lb/>

citi declinabant: aut eam minime nece&longs;&longs;ariam ad Ari&longs;t. percipiendam <lb/>

percipiendam <lb/>&longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;<lb/>&longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s>

&longs;ententiam a&longs;&longs;erebant; quo quid ab&longs;urdius, quid &longs;tudio&longs;orum progre&longs;<lb/>

&longs;ibus pernicio&longs;ius excogitari pote&longs;t? </s>

<s id="id.000044">Eorum verò nonnulli eorumdem <lb/>locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri<lb/>les illæ, ac ridiculæ expo&longs;itiones pa&longs;&longs;im auditæ, cuiu&longs;modi e&longs;t illa, quan<lb/>do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha<lb/>bet tres; nihil aliud &longs;ignificari volunt, quàm omnem triangulum habe<lb/>re tres angulos. </s>

<s id="id.000044">Eorum verò nonnulli eorumdem <lb/>

locorum expo&longs;itionem audacter nimis aggrediebantur, <expan abbr="atq;">atque</expan> hinc pueri<lb/>

<s id="id.000045">quod &longs;i dicat, omnis triangulus habet tres æquales duo<lb/>bus rectis: hic hærent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/>&longs;e minimè expedire valeant, aurea verba illa, quibus ingentes &longs;apientiæ <lb/>the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/>cogit in&longs;citia: vnde illud, quod Græcæ linguæ imperitis mutata oratio<lb/>ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s>

les illæ, ac ridiculæ expo&longs;itiones pa&longs;&longs;im auditæ, cuiu&longs;modi e&longs;t illa, quan<lb/>

do Ari&longs;toteles ait, quod illi frequenti&longs;&longs;imum e&longs;t, omnis triangulus ha<lb/>

<s id="id.000046">Nec mi<lb/>nus elegans illa altera expo&longs;itio; Diametrum e&longs;&longs;e incommen&longs;urabilem <lb/>co&longs;tæ; quod &longs;æpe apud Ari&longs;t.

bet tres; nihil aliud &longs;ignificari volunt, quàm omnem triangulum habe<lb/>

re tres angulos. </s>

legentibus occurrit, nihil aliud &longs;ibi velle, <lb/>quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetriæ huius <lb/>ignorantiam Plato de legibus dial. </s>

<s id="id.000045">quod &longs;i dicat, omnis triangulus habet tres æquales duo<lb/>

bus rectis: hic hærent, hinc anguntur: <expan abbr="cumq;">cumque</expan> ex his angu&longs;tijs, ac tricis <lb/>

<s id="id.000047">7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco<lb/>rumque</expan> appellare non dubitauit. </s>

&longs;e minimè expedire valeant, aurea verba illa, quibus ingentes &longs;apientiæ <lb/>

the&longs;auri continentur, alto &longs;ilentij velo contegere Mathematicarum eos <lb/>

cogit in&longs;citia: vnde illud, quod Græcæ linguæ imperitis mutata oratio<lb/>

ne acclamandum illis foret, Mathematicum e&longs;t, non legitur. </s>

nus elegans illa altera expo&longs;itio; Diametrum e&longs;&longs;e incommen&longs;urabilem <lb/>

co&longs;tæ; quod &longs;æpe apud Ari&longs;t. legentibus occurrit, nihil aliud &longs;ibi velle, <lb/>

quam Diametrum e&longs;&longs;e longiorem co&longs;ta, quam quidem a&longs;ymetriæ huius <lb/>

ignorantiam Plato de legibus dial. </s>

<s id="id.000047">7. non hominum, &longs;ed &longs;uum, <expan abbr="peco-rumq;">peco<lb/>

rumque</expan> appellare non dubitauit. </s>

<s id="id.000049">cum Ari&longs;t. ait duo cubi, cu<lb/>

<s id="id.000049">cum Ari&longs;t.

bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in<lb/>

uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/>

ait duo cubi, cu<lb/>bus, ip&longs;um loqui putant de duplatione Geometrici cubi, nondum in<lb/>uenta; non intelligentes, eum ibi de numeris cubis &longs;ermonem habere. <lb/></s>

</s>

<s id="id.000050">Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. 15. quàm &longs;e Mathematicis, <lb/>

<s id="id.000050">Auerroes ip&longs;e tantus vir 5. Phy&longs;. commen. 15. quàm &longs;e Mathematicis, <lb/>reliqui&longs;que Philo&longs;ophis irridendum præbet dum à permutata propor<lb/>tione putat &longs;erectè in hunc modum pluribus apud ip&longs;um verbis explica<lb/>tum, argumentari,</s>

reliqui&longs;que Philo&longs;ophis irridendum præbet dum à permutata propor<lb/>

tione putat &longs;erectè in hunc modum pluribus apud ip&longs;um verbis explica<lb/>

tum, argumentari,</s>

<s id="id.000051"><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/>It a voluntas antiqua ad effectum antiquum. <lb/></s>

<s id="id.000051"><emph type="italics"/>Vt &longs;e habet voluntas noua ad effectum nouum, <lb/>

<s id="id.000052">Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/>antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s>

It a voluntas antiqua ad effectum antiquum. <lb/>

</s>

<s id="id.000052">Ergo permutatim, vt &longs;e habebit voluntas noua ad effectum <lb/>

antiquum, ita voluntas antiqua ad effectum nouum.<emph.end type="italics"/></s>

<s id="id.000053"><expan abbr="Spectat&utilde;">Spectatum</expan> admi&longs;&longs;i ri&longs;um teneatis amici? </s>

<s id="id.000054">nego, ait; qui&longs;piam con&longs;equen

<s id="id.000054">nego, ait; qui&longs;piam con&longs;equen<pb xlink:href="009/01/008.jpg" pagenum="8"/>tiam, non enim hoc e&longs;t argumentari à permutata ratione, deberet enim <lb/>inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad<lb/>modum effectus nouus ad antiquum. </s>

<s id="id.000055">quæ vitio&longs;a argumentatio quan<lb/>tumuis læuis &longs;it, & manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o<lb/>phantes adeò tor&longs;it, vt adhuc torqueat.</s>

<s id="id.000056">Quanta autem mi&longs;eratione digni, qui publicè aliquando apud &longs;uos <lb/>auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle<lb/>re conati &longs;unt, propterea quod illæ vi&longs;uales lineæ, illi anguli, illæ pyra<lb/>mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/>quædam opticorum figmenta. </s>

<s id="id.000057">Quì verò fieri potuit, vt non aduerterint <lb/>i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;æpius de lineis vi&longs;ualibus <lb/>per&longs;pectiuum pertractare a&longs;&longs;erit, <expan abbr="di&longs;crimen&qacute;">di&longs;crimenque</expan>; inter lineam phy&longs;icam, & <lb/>opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam veræ &longs;cientiæ mentionem <lb/>&longs;æpius facit.</s>

<s id="id.000058">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 id="id.000059">Verum id i&longs;ti nulla ex<lb/>pre&longs;&longs;a nedum probabili ratione faciunt, falsò 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="appellãt">appellant</expan>, <lb/>non a&longs;&longs;erunt. </s>

<s id="id.000060">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 id="id.000061">Impugnant <expan abbr="itaq;">itaque</expan> a&longs;tronomachi i&longs;ti hypothe&longs;im pro <lb/>a&longs;&longs;ertione; <expan abbr="tales&qacute;">talesque</expan>; &longs;æpè hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa<lb/>tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s>

<s id="id.000062">Nec defuit <lb/>qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui<lb/>bus contra A&longs;tronomos probare conatus e&longs;t, nullo modo Solem, aut <lb/>Lunam moueri po&longs;&longs;e motibus contrarijs, ide&longs;t, ab oriente in <expan abbr="occid&etilde;tem">occidentem</expan> <lb/>motu diurno, & proprio ab occidente in orientem. </s>

<s id="id.000063">Sed exi&longs;timandum <lb/>e&longs;t <expan abbr="i&longs;t&utilde;">i&longs;tum</expan> Lunam nouam à Sole quotidie magis, ac magis ver&longs;us orientem <lb/>recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor<lb/>diam didici&longs;&longs;et.</s>

<s id="id.000064">Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om<lb/>nium tamen <expan abbr="Mathematicar&utilde;">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio<lb/>ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/>quo à Mathematicis effertur negare non erubuit, eò, quod in infinito, <lb/>vt aiebat non concederetur ab omnibus. </s>

<s id="id.000065">&longs;cilicet non intelligebat ma<lb/>thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/>in qua axioma prædictum ab omnibus conceditur. </s>

<s id="id.000066">Neque vero hic <lb/>nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/>cò progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien<pb xlink:href="009/01/009.jpg" pagenum="9"/>tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu<lb/>gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/>quàm quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/>quæ cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi<lb/>bus vafrè per&longs;uadere conabatur. </s>

<s id="id.000067">Verum enim verò optimè &longs;cio, ea, <lb/>qu&ecedil; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua<lb/>drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe<lb/>maticis &longs;uffulti, optimè &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/>non &longs;ine magno compendio aggrediuntur. </s>

<s id="id.000068">Quo fit, vt cæteros ageo<lb/>metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, & <expan abbr="debeãt">debeant</expan>; <lb/>tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/>Bonamicus, & alij, quibus paulo antiquiores fuerunt D. Tho. & Scotus, <lb/>Hiomnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o<lb/>phantes excelluerint, nemo e&longs;t qui non nouerit. </s>

<s id="id.000069">Illud hoc loco minimè <lb/>tacendum, Iacobum Zabarellam in &longs;uis logicæ commentarijs te&longs;tari &longs;e <lb/>bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfectè Ari&longs;t.

de <lb/>demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s>

<s id="id.000070">Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minimè <lb/>effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue<lb/>runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca<lb/>rentes afficiuntur.</s>

<s id="id.000071">In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/>e&longs;&longs;et damna à me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s>

<s id="id.000072">Quaprop<lb/>ter loca hæc mathematica num rectè e&longs;&longs;ent è græco in latinum tran&longs;lata

<lb/>diligenter prius expendi. </s>

<s id="id.000073">Deinde claritate, quàm potui maxima eadem

<lb/>loca interpretatus &longs;um, & in horum, de quibus dixi gratiam, quædam

<lb/>fanè tenuia pro&longs;equutus &longs;um, quæ alioquin libenter omi&longs;i&longs;&longs;em. </s>

<s id="id.000074">Tum fi

<lb/>guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s>

<s id="id.000075">Hocigitur

<lb/>no&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere,

<lb/><expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo à Lectore ma

<lb/>thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini

<lb/>tiones, po&longs;tulata, & axiomata, quæ primò Euclideis libro præponuntur,

<lb/>diligenter prius perlegat cum illa &longs;ua per&longs;picuitate omnibus &longs;int obuia;

<lb/>cætera ego explicanda recipio. </s>

<s id="id.000076">Obiter etiam auctaria nonnulla partim

<lb/>mathematica, partim naturalia in&longs;erui, quæ ob nouitatem, ac pulchri

<lb/>tudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s>

<s id="id.000077">Sciat præterea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca hæc mathemati

<lb/>ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, quæ ex ma

<lb/>thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan

<lb/>tum harum rerum cum illis connexio po&longs;tulat.</s><pb xlink:href="009/01/010.jpg" pagenum="10"/>

<s id="id.000078">His omnibus placuit appendices opportune nonnullas addere, qua

<lb/>rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes

<lb/>demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex

<lb/>penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&ecedil;q;">vnaqu&ecedil;que</expan>

<lb/>debeat, & ex illis de cæteris iudicium fiat. </s>

<s id="id.000079">Tandem in gratiam etiam

<lb/>Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t.

<lb/>Geometrica ad Euclidis ordinem referuntur; vnde & ip&longs;i ad &longs;uas pr&ecedil;le

<lb/>ctiones exornandas aliquid &longs;ubinde depromere queant.</s>

<s id="id.000080">Fruere igitur amice Lector hoc no&longs;tro qualiquali labore, quo ad ple

<lb/>nam totius Ari&longs;t.

intelligentiam, cui adhuc mathematicarum ignoratio

<lb/>ob&longs;titit peruenire tandem po&longs;&longs;is: <expan abbr="illud&qacute;">illudque</expan>; experiaris, quod optimus qui

<lb/>dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide

<lb/>licet, opus hoc <emph type="italics"/>Aristot elicæ expo&longs;itionis complementum ad hanc v&longs;que

<lb/>diem de&longs;ideratum<emph.end type="italics"/> iure ac meritò nuncupari po&longs;&longs;e.</s>

<s id="id.000081">Illud demum tanquam parergon addam, quod ego his elucubran

<lb/>dis experientia didici, ad veram &longs;cilicet, ac perfectam to

<lb/>tius Ari&longs;totelis intelligentiam linguæ in primis

<lb/>græcæ, necnon mathematicarum om

<lb/>nium di&longs;ciplinarum haud medio

<lb/>crem cognitionem ne

<lb/>ce&longs;&longs;ariam e&longs;&longs;e.

<s id="id.000083">Pr&ecedil;cipua qu&ecedil;dam, aut noua, autre&longs;taurata,

<lb/>quæ obiter pertractantur.

<lb/><arrow.to.target n="table1"/></s><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, & 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 quædam 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, quæ aquæ in&longs;ident, vnà 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 Terræ 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 quæ, & 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 quæ,<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, & 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. propè 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 xlink:href="009/01/012.jpg" pagenum="12"/><section>

<s id="id.000084"><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/></s>

<s id="id.000085"><emph type="italics"/>Quæ in hoc opere explicantur, iuxta ordine librorum

<lb/>ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s>

<s id="id.000086">In Prædicamentis.</s>

<s id="id.000087"><emph type="italics"/>Gapite s. </s>

<s id="id.000088">de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s>

<s id="id.000089"><emph type="italics"/>Cap.

de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s>

<s id="id.000090"><emph type="italics"/>Cap.

de Motu, vbi de Gnomone.<emph.end type="italics"/></s>

<s id="id.000091">In Primo Priorum Re&longs;olutoriorum.</s>

<s id="id.000092"><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s>

<s id="id.000093"><emph type="italics"/>Cap.

23. &longs;ect 1. libri 1. de Incommen &longs;ur abilibus.<emph.end type="italics"/></s>

<s id="id.000094"><emph type="italics"/>Cap.

24. &longs;ecti 1. lib.

1. de De&longs;criptionibus.<emph.end type="italics"/></s>

<s id="id.000095"><emph type="italics"/>Cap.

2. &longs;ect 2. lib.

1. de De&longs;criptionibus.<emph.end type="italics"/></s>

<s id="id.000096"><emph type="italics"/>Cap.

3. &longs;ecti 2. lib.

1. de Incommen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000097"><emph type="italics"/>Cap.

1. &longs;ecti 3. lib.

1. de eo, quod est, omnis triangulus habet tres angulos æquales

<lb/>æquales duobus rectis: Aequalitas Geometrica, quæ.<emph.end type="italics"/></s>

<s id="id.000098"><emph type="italics"/>Cap.

eodem, de exemplis, quibus vtuntar Geometræ.<emph.end type="italics"/></s>

<s id="id.000099">In &longs;ecundo Priorum Re&longs;ol.<emph type="italics"/>Cap.

21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s>

<s id="id.000100"><emph type="italics"/>Cap.

eodem. </s>

<s id="id.000101">de Paralellis, & de triangulo.<emph.end type="italics"/></s>

<s id="id.000102"><emph type="italics"/>Cap.

26. Quod omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<s id="id.000103"><emph type="italics"/>Cap.

31. de Abductione.<emph.end type="italics"/></s>

<s id="id.000104"><emph type="italics"/>Cap.

codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/></s>

<s id="id.000105">In primo Po&longs;teriorum.</s>

<s id="id.000106"><emph type="italics"/>Textu primo, De Præcognitis Mathematicarum.<emph.end type="italics"/></s>

<s id="id.000107"><emph type="italics"/>T. 2. Omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<pb pagenum="8" xlink:href="http://archimedes.fas.harvard.edu/images/009-01-pageimg/009.01.008.jpg"/>tiam, non enim hoc e&longs;t argumentari à permutata ratione, deberet enim <lb/>

inferre, &longs;ic, ergo ita &longs;e habebit voluntas noua ad antiquam, quemad<lb/>

modum effectus nouus ad antiquum. </s>

<s id="id.000055">quæ vitio&longs;a argumentatio quan<lb/>

tumuis læuis &longs;it, & manife&longs;ta, quo&longs;dam tamen magni nominis philo&longs;o<lb/>

phantes adeò tor&longs;it, vt adhuc torqueat.</s>

<s id="id.000056">Quanta autem mi&longs;eratione digni, qui publicè aliquando apud &longs;uos <lb/>

auditores totam Per&longs;pectiuam, qua nihil iucundius e&longs;t, de medio tolle<lb/>

re conati &longs;unt, propterea quod illæ vi&longs;uales lineæ, illi anguli, illæ pyra<lb/>

mides, aut coni, quibus vi&longs;io perficitur nullibi extarent, &longs;ed e&longs;&longs;ent vana <lb/>

quædam opticorum figmenta. </s>

<s id="id.000057">Quì verò fieri potuit, vt non aduerterint <lb/>

i&longs;ti &longs;e Ari&longs;toteli &longs;uo manife&longs;te repugnare, qui &longs;æpius de lineis vi&longs;ualibus <lb/>

per&longs;pectiuum pertractare a&longs;&longs;erit, <expan abbr="di&longs;crimen&qacute;">di&longs;crimenque</expan>; inter lineam phy&longs;icam, & <lb/>

opticam a&longs;&longs;ignat, <expan abbr="ip&longs;ius&qacute;">ip&longs;iusque</expan>; optices tanquam veræ &longs;cientiæ mentionem <lb/>

&longs;æpius facit.</s>

<s id="id.000058">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 id="id.000059">Verum id i&longs;ti nulla ex<lb/>

pre&longs;&longs;a nedum probabili ratione faciunt, falsò 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="appellãt">appellant</expan>, <lb/>

non a&longs;&longs;erunt. </s>

<s id="id.000060">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 id="id.000061">Impugnant <expan abbr="itaq;">itaque</expan> a&longs;tronomachi i&longs;ti hypothe&longs;im pro <lb/>

a&longs;&longs;ertione; <expan abbr="tales&qacute;">talesque</expan>; &longs;æpè hi &longs;unt, vt non &longs;atis intelligant, quid &longs;it Aequa<lb/>

tor, aut Zodiacus, ne dum quid Epiciclus, aut Eccentricus. </s>

<s id="id.000062">Nec defuit <lb/>

qui viginti duo argumenta excogitarit, <expan abbr="atq;">atque</expan> in medium protulerit, qui<lb/>

bus contra A&longs;tronomos probare conatus e&longs;t, nullo modo Solem, aut <lb/>

Lunam moueri po&longs;&longs;e motibus contrarijs, ide&longs;t, ab oriente in <expan abbr="occid&etilde;tem">occidentem</expan> <lb/>

motu diurno, & proprio ab occidente in orientem. </s>

<s id="id.000063">Sed exi&longs;timandum <lb/>

e&longs;t <expan abbr="i&longs;t&utilde;">i&longs;tum</expan> Lunam nouam à Sole quotidie magis, ac magis ver&longs;us orientem <lb/>

recedere, nunquam animaduerti&longs;&longs;e; ab ea enim hanc motuum concor<lb/>

diam didici&longs;&longs;et.</s>

<s id="id.000064">Quid tandem <expan abbr="dic&etilde;dum">dicendum</expan> de quodam magni nominis Philo&longs;opho, om<lb/>

nium tamen <expan abbr="Mathematicar&utilde;">Mathematicarum</expan> experte, qui in publica di&longs;putatione axio<lb/>

ma illud Mathematicum, omne totum e&longs;t maius &longs;ua parte, in &longs;en&longs;u in <lb/>

quo à Mathematicis effertur negare non erubuit, eò, quod in infinito, <lb/>

vt aiebat non concederetur ab omnibus. </s>

<s id="id.000065">&longs;cilicet non intelligebat ma<lb/>

thematicum tantummodo tractare de Quantitate finita, ac terminata, <lb/>

in qua axioma prædictum ab omnibus conceditur. </s>

<s id="id.000066">Neque vero hic <lb/>

nonnullorum infen&longs;us in Mathematicas animus quieuit, verum etiam <lb/>

eò progre&longs;&longs;us e&longs;t, vt eas omnes omnino conuellere, atque ex albo &longs;cien

<pb pagenum="9" xlink:href="http://archimedes.fas.harvard.edu/images/009-01-pageimg/009.01.009.jpg"/>tiarum, quamuis non Ari&longs;totele tantum, &longs;ed ip&longs;a etiam veritate repu<lb/>

gnante, expungere conati &longs;int; <expan abbr="idq;">idque</expan> ne&longs;cio an vlla alia de cau&longs;a egerint, <lb/>

quàm quod eas non &longs;atis calerent; non &longs;ecus <expan abbr="atq;">atque</expan> Ae&longs;opica illa Vulpes, <lb/>

quæ cum cauda mutilata e&longs;&longs;et, caudarum mutilationem reliquis vulpi<lb/>

bus vafrè per&longs;uadere conabatur. </s>

<s id="id.000067">Verum enim verò optimè &longs;cio, ea, <lb/>

qu&etail; hactenus dicta &longs;unt non in omnes no&longs;tri temporis Philo&longs;ophos qua<lb/>

drare, cum non pauci hodie quoque &longs;int, qui more antiquorum Mathe<lb/>

maticis &longs;uffulti, optimè &longs;uis &longs;tudijs con&longs;ulentes, reliquam Philo&longs;ophiam <lb/>

non &longs;ine magno compendio aggrediuntur. </s>

<s id="id.000068">Quo fit, vt cæteros ageo<lb/>

metretos ita antecellant, vt eorum Magi&longs;tri appellari po&longs;&longs;int, & <expan abbr="debeãt">debeant</expan>; <lb/>

tales fuerunt in primis Vicomercatus, Cardanus, Zabarella, Toletus, <lb/>

Bonamicus, & alij, quibus paulo antiquiores fuerunt D. Tho. & Scotus, <lb/>Hi omnes Mathematicarum auxilio, quantum inter reliquos philo&longs;o<lb/>

phantes excelluerint, nemo e&longs;t qui non nouerit. </s>

<s id="id.000069">Illud hoc loco minimè <lb/>

tacendum, Iacobum Zabarellam in &longs;uis logicæ commentarijs te&longs;tari &longs;e <lb/>

bis &longs;umma diligentia totum Euclidem perlegi&longs;&longs;e, vt perfectè Ari&longs;t. de <lb/>

demon&longs;tratione &longs;ententiam a&longs;&longs;equi po&longs;&longs;et.</s>

<s id="id.000070">Hi ridiculas illas, ac pueriles expo&longs;itiones &longs;uperius allatas minimè <lb/>

effutierunt, neque reliquis &longs;upra recen&longs;itis incommodis obnoxij fue<lb/>

runt, quibus magno etiam cum dedecore alij Mathematicarum ope ca<lb/>

rentes afficiuntur.</s>

<s id="id.000071">In horum igitur gratiam operam diligenter dedi, vt quantum in me <lb/>

e&longs;&longs;et damna à me &longs;upra enarrata aliqua ex parte re&longs;arcirem. </s>

<s id="id.000072">Quaprop<lb/>

ter loca hæc mathematica num rectè e&longs;&longs;ent è græco in latinum tran&longs;lata <lb/>

diligenter prius expendi. </s>

<s id="id.000073">Deinde claritate, quàm potui maxima eadem <lb/>

loca interpretatus &longs;um, & in horum, de quibus dixi gratiam, quædam <lb/>

fanè tenuia pro&longs;equutus &longs;um, quæ alioquin libenter omi&longs;i&longs;&longs;em. </s>

guras omnes, aut correxi, aut re&longs;titui, aut nouas appo&longs;ui. </s>

<s id="id.000075">Hoc igitur <lb/>

no&longs;tro qualicunque labore poterit qui&longs;que omnia illa facile intelligere, <lb/>

<expan abbr="atq;">atque</expan> enumerata incommoda euitare, vnum tantummodo à Lectore ma<lb/>

thematicarum experte requiram, vt principia &longs;altem illa, &longs;cilicet defini<lb/>

tiones, po&longs;tulata, & axiomata, quæ primò Euclideis libro præponuntur, <lb/>

diligenter prius perlegat cum illa &longs;ua per&longs;picuitate omnibus &longs;int obuia; <lb/>

cætera ego explicanda recipio. </s>

<s id="id.000076">Obiter etiam auctaria nonnulla partim <lb/>

mathematica, partim naturalia in&longs;erui, quæ ob nouitatem, ac pulchri<lb/>

tudinem grata Lectori, atque iucunda fore exi&longs;timaui.</s>

<s id="id.000077">Sciat præterea Lector no&longs;trum in&longs;titutum e&longs;&longs;e loca hæc mathemati<lb/>

ca, quatenus mathematica &longs;unt declarare, &longs;iue ea &longs;upplere, quæ ex ma<lb/>

thematicis petenda e&longs;&longs;ent: reliqua autem me tantum attingere, quan<lb/>

tum harum rerum cum illis connexio po&longs;tulat.</s>

<s id="id.000078">His omnibus placuit appendices opportune nonnullas addere, qua<lb/>

rum prima de natura mathematicarum &longs;cientiarum: altera, qua omnes <lb/>

demon&longs;trationes primi libri Euclidis breuiter ad Logicam normam ex<lb/>

penduntur, vt pateat, quonam demon&longs;trationis genere <expan abbr="c&etilde;&longs;eri">cen&longs;eri</expan> <expan abbr="vnaqu&etail;q;">vnaqu&etail;que</expan> <lb/>

debeat, & ex illis de cæteris iudicium fiat. </s>

<s id="id.000079">Tandem in gratiam etiam <lb/>

Mathematicorum tertiam appendicem appendi, qua omnia loca Ari&longs;t. <lb/>

Geometrica ad Euclidis ordinem referuntur; vnde & ip&longs;i ad &longs;uas pr&etail;le<lb/>

ctiones exornandas aliquid &longs;ubinde depromere queant.</s>

<s id="id.000080">Fruere igitur amice Lector hoc no&longs;tro qualiquali labore, quo ad ple<lb/>

nam totius Ari&longs;t. intelligentiam, cui adhuc mathematicarum ignoratio <lb/>

ob&longs;titit peruenire tandem po&longs;&longs;is: <expan abbr="illud&qacute;">illudque</expan>; experiaris, quod optimus qui<lb/>

dam Philo&longs;ophus, cum totum hunc librum perlegi&longs;&longs;et, effatus e&longs;t, vide<lb/>

licet, opus hoc <emph type="italics"/>Aristotelicæ expo&longs;itionis complementum ad hanc v&longs;que <lb/>

diem de&longs;ideratum<emph.end type="italics"/> iure ac meritò nuncupari po&longs;&longs;e.</s>

<s id="id.000081">Illud demum tanquam parergon addam, quod ego his elucubran<lb/>

dis experientia didici, ad veram &longs;cilicet, ac perfectam to<lb/>

tius Ari&longs;totelis intelligentiam linguæ in primis <lb/>

græcæ, necnon mathematicarum om<lb/>

nium di&longs;ciplinarum haud medio<lb/>

crem cognitionem ne<lb/>

ce&longs;&longs;ariam e&longs;&longs;e. <lb/>

</s>

</section>

<s id="id.000083">Pr&etail;cipua qu&etail;dam, aut noua, aut re&longs;taurata, <lb/>

quæ obiter pertractantur.<lb/>

<arrow.to.target n="table1"/></s>

<table>

<table.target id="table1"/>

<row>

<cell><emph type="italics"/>De re&longs;olutione. numero marginali.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De figuris vacuum replentibus, vbi Aristotelis, & expo-&longs;itorum erratum aperitur. num.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

<cell><emph type="italics"/>Inibi, Apum mirabilis quædam in cellis &longs;uis hexagonis constituendis indu&longs;tria detegitur. num.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De ijs, quæ aquæ in&longs;ident, vnà 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>

</row>

<row>

<cell><emph type="italics"/>De Cometa, recentiorum &longs;ententia. num.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De altitudine montis Cauca&longs;i.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Terræ rotunditate, ac mundi duratione.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Iride. in additione.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Scytala quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Securis antiqua quæ, & qua ratione fieret.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Statera antiqua quæ,<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Ae&longs;tu Maris.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Araneorum indu&longs;tria nuper patefacta: vbi Democritus contra Ari&longs;t. defenditur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Lucis figuratione, & rerum &longs;imulacris in ob&longs;curo loco.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Pupilla oculi.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De Mathematicarum natura. propè finem operis.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Clarorum Mathematicorum Chronologia, in fine operis.<emph.end type="italics"/></cell>

<cell/>

</row>

</table>

</section>

<s id="id.000084"><emph type="italics"/>PRIMVS INDEX LOCORVM ARIST.<emph.end type="italics"/></s>

<s id="id.000085"><emph type="italics"/>Quæ in hoc opere explicantur, iuxta ordine librorum <lb/>

ip&longs;ius ex vulgata editione Lugdunen&longs;i.<emph.end type="italics"/></s>

<s id="id.000086">In Prædicamentis.</s>

<s id="id.000087"><emph type="italics"/>Capite s. </s>

<s id="id.000088">de Relatione, vbi de Quadratura circuli.<emph.end type="italics"/></s>

<s id="id.000089"><emph type="italics"/>Cap. de Priori, vbi de Principijs Mathematicarum,<emph.end type="italics"/></s>

<s id="id.000090"><emph type="italics"/>Cap. de Motu, vbi de Gnomone.<emph.end type="italics"/></s>

<s id="id.000091">In Primo Priorum Re&longs;olutoriorum.</s>

<s id="id.000092"><emph type="italics"/>Ad titulum libri de Re&longs;olutione.<emph.end type="italics"/></s>

<s id="id.000093"><emph type="italics"/>Cap. 23. &longs;ect 1. libri 1. de Incommen&longs;urabilibus.<emph.end type="italics"/></s>

<s id="id.000094"><emph type="italics"/>Cap. 24. &longs;ecti 1. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/></s>

<s id="id.000095"><emph type="italics"/>Cap. 2. &longs;ect 2. lib. 1. de De&longs;criptionibus.<emph.end type="italics"/></s>

<s id="id.000096"><emph type="italics"/>Cap. 3. &longs;ecti 2. lib. 1. de Incommen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000097"><emph type="italics"/>Cap. 1. &longs;ecti 3. lib. 1. de eo, quod est, omnis triangulus habet tres angulos æquales <lb/>

æquales duobus rectis: Aequalitas Geometrica, quæ.<emph.end type="italics"/></s>

<s id="id.000098"><emph type="italics"/>Cap. eodem, de exemplis, quibus vtuntuar Geometræ.<emph.end type="italics"/></s>

<s id="id.000099">In &longs;ecundo Priorum Re&longs;ol.<emph type="italics"/>Cap. 21. de lineis Paralellis, &longs;eu Coalternis.<emph.end type="italics"/></s>

<s id="id.000100"><emph type="italics"/>Cap. eodem. </s>

<s id="id.000101">de Paralellis, & de triangulo.<emph.end type="italics"/></s>

<s id="id.000102"><emph type="italics"/>Cap. 26. Quod omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<s id="id.000103"><emph type="italics"/>Cap. 31. de Abductione.<emph.end type="italics"/></s>

<s id="id.000104"><emph type="italics"/>Cap. codem, de circuli Quadratura, &longs;ecundum Hippocratem Chium.<emph.end type="italics"/></s>

<s id="id.000105">In primo Po&longs;teriorum.</s>

<s id="id.000106"><emph type="italics"/>Textu primo, De Præcognitis Mathematicarum.<emph.end type="italics"/></s>

<s id="id.000107"><emph type="italics"/>T. 2. Omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<s id="id.000108"><emph type="italics"/>T. 5. De Diametro incommen&longs;urabili. </s>

<s id="id.000109">Item De Mathematicarum Principijs.<emph.end type="italics"/></s>

<s id="id.000109">Item De Mathematicarum Principijs.<emph.end type="italics"/></s>

<s id="id.000110"><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s>

<s id="id.000110"><emph type="italics"/>T. eodem, De Indiui&longs;ibilitate vnitatis.<emph.end type="italics"/></s>

<s id="id.000111"><emph type="italics"/>T. 9. De Puncto, & linea. </s>

<s id="id.000112">Item de recto, & circulari. </s>

<s id="id.000113">Item de numero pari, impari; <lb/>

<s id="id.000113">Item de numero pari, impari;

primo, & compo&longs;ito; æquilatero, & altera parte longiore.<emph.end type="italics"/></s>

<lb/>primo, & compo&longs;ito; æquilatero, & altera parte longiore.<emph.end type="italics"/></s>

<s id="id.000114"><emph type="italics"/>T. 11. Lineæ punctum inest per &longs;e, & c.<emph.end type="italics"/></s>

<s id="id.000114"><emph type="italics"/>T. 11. Lineæ punctum inest per &longs;e, & c.<emph.end type="italics"/></s>

<s id="id.000115"><emph type="italics"/>T. 13. De Parallelis. </s>

<s id="id.000116">De I&longs;o&longs;cele. </s>

<s id="id.000117">De Alterna Proportione, <lb/>

<s id="id.000117">De Alterna Proportione,

Item quod omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<lb/>Item quod omnis triangulus habet tres, & c.<emph.end type="italics"/></s>

<s id="id.000118"><emph type="italics"/>T. 14. De ij&longs;dem cum præcedentibus.<emph.end type="italics"/></s>

<s id="id.000118"><emph type="italics"/>T. 14. De ij&longs;dem cum præcedentibus.<emph.end type="italics"/></s>

<s id="id.000119"><emph type="italics"/>T. 20. Magnitudines euadunt numeri. </s>

<s id="id.000120">Item, quod non duo cubi cubus. </s>

<s id="id.000121">Item de

Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s>

<lb/>Mathematicis &longs;ubalternatis.<emph.end type="italics"/></s>

<s id="id.000122"><emph type="italics"/>T. 23. Quadratura circuli &longs;ecundum Bry&longs;onem. </s>

<s id="id.000123">Item per&longs;ectam illam e&longs;&longs;e Demon<lb/>

<s id="id.000123">Item per&longs;ectam illam e&longs;&longs;e Demon

&longs;trationem, qua Geometræ o&longs;tendunt, quod Omnis triangulus habet tres, & c. <lb/>

<lb/>&longs;trationem, qua Geometræ o&longs;tendunt, quod Omnis triangulus habet tres, & c.

</s>

<s id="id.000124">Per&longs;pectiuam, & Mechanicam &longs;ubalternari Geometriæ, Mu&longs;icam, Arithmeticæ.<emph.end type="italics"/></s>

<s id="id.000124">Per&longs;pectinam, & Mechanicam &longs;ubalternari Geometriæ, Mu&longs;icam, Arithmeticæ.<emph.end type="italics"/></s>

<s id="id.000125"><emph type="italics"/>T. 24. De numero pari, impari, quadrangulo, cubo. </s>

<s id="id.000125"><emph type="italics"/>T. 24. De numero pari, impari, quodrangulo, cubo. </s>

<s id="id.000126">In Geometria quid irrationale, <lb/>

refrangi, concurrere. </s>

<s id="id.000126">In Geometria quid irrationale,

<s id="id.000127">Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s>

<lb/>refrangi, concurrere. </s>

<s id="id.000127">Quid Astronomia con&longs;ideret.<emph.end type="italics"/></s>

<s id="id.000128"><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s>

<s id="id.000128"><emph type="italics"/>T. 25. Geometram non mentiri in &longs;uis exemplis.<emph.end type="italics"/></s>

<s id="id.000129"><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/></s>

<s id="id.000129"><emph type="italics"/>T. 28. De Parallelis.<emph.end type="italics"/></s><pb xlink:href="009/01/013.jpg" pagenum="13"/>

<s id="id.000130"><emph type="italics"/>T. 29. Cur in Mathematicis non &longs;it Paralogi&longs;mus. </s>

<s id="id.000131">Item quid multiplicata propor<lb/>

<s id="id.000131">Item quid multiplicata propor

tio. </s>

<s id="id.000132">Quid Cæneus dixerit. </s>

<s id="id.000133">Cur Affectiones <expan abbr="Mathematicor&utilde;">Mathematicor&utilde;</expan> maximè <expan abbr="conuertãtur">conuertantur</expan>.<emph.end type="italics"/></s>

<s id="id.000133">Cur Affectiones <expan abbr="Mathematicor&utilde;">Mathematicor&utilde;</expan> maximè <expan abbr="conuertãtur">conuertantur</expan>.<emph.end type="italics"/></s>

<s id="id.000134"><emph type="italics"/>T. 30. De Lunæ &longs;phæricitate. </s>

<s id="id.000135">Quid &longs;tereometria. </s>

<s id="id.000136">& De &longs;ubalternatione, &c. </s>

<s id="id.000137">& Ma

thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum verò &longs;cire Quod.<emph.end type="italics"/></s>

<lb/>thematicorum e&longs;t &longs;cire Propter quid: &longs;en&longs;itiuorum verò &longs;cire Quod.<emph.end type="italics"/></s>

<s id="id.000138"><emph type="italics"/>T. 37. I&longs;o&longs;celes, & Scalenum habere tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000138"><emph type="italics"/>T. 37. I&longs;o&longs;celes, & Scalenum habere tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000139"><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000139"><emph type="italics"/>T. 38. Quid Mina, quid Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000140"><emph type="italics"/>T. 39. Habere tres angulos æquales, &c. </s>

<s id="id.000141">Item, quod omnis figura habet &longs;uos angu

<s id="id.000140"><emph type="italics"/>T. 39. Habere tres angulos æquales, &c. </s>

<lb/>los externos æquales quatuor tantum rectis.<emph.end type="italics"/></s>

<s id="id.000141">Item, quod omnis figura habet &longs;uos angu<lb/>

los externos æquales quatuor tantum rectis.<emph.end type="italics"/></s>

<s id="id.000142"><emph type="italics"/>T. 43. Triangulum tres æquales, &c. </s>

<s id="id.000143">De Eclyp&longs;i.<emph.end type="italics"/></s>

<s id="id.000143">De Eclyp&longs;i.<emph.end type="italics"/></s>

<s id="id.000144"><emph type="italics"/>De combu&longs;tione per refractionem ex &longs;phæra vitrea. </s>

<s id="id.000145">De principijs &longs;cientiarum.<emph.end type="italics"/></s>

<s id="id.000145">De principijs &longs;cientiarum.<emph.end type="italics"/></s>

<s id="id.000146"><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000146"><emph type="italics"/>T. 44. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000147">In 2. Po&longs;teriorum.</s>

<s id="id.000147">In 2. Po&longs;teriorum.</s>

<s id="id.000148"><emph type="italics"/>T. 1. Aequalitas, & inæqualitas. </s>

<s id="id.000149">Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per<lb/>

<s id="id.000149">Terram e&longs;&longs;e in medio mundi ab A&longs;tronomis per

fectè demon&longs;tratur. </s>

<lb/>fectè demon&longs;tratur. </s>

<s id="id.000150">Item Quid con&longs;onantia.<emph.end type="italics"/></s>

<s id="id.000150">Item Quid con&longs;onantia.<emph.end type="italics"/></s>

<s id="id.000151"><emph type="italics"/>T. 2. Omnis triangulus habet tres, &c. </s>

<s id="id.000152">Item de Definitionibus Mathematicarum.<emph.end type="italics"/></s>

<s id="id.000152">Item de Definitionibus Mathematicarum.<emph.end type="italics"/></s>

<s id="id.000153"><emph type="italics"/>T. 7. Geometra, quædam accipit, quædam demon&longs;trat.<emph.end type="italics"/></s>

<s id="id.000153"><emph type="italics"/>T. 7. Geometra, quædam accipit, quædam demon&longs;trat.<emph.end type="italics"/></s>

<s id="id.000154"><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari à Geometra per cau&longs;am materia

<s id="id.000154"><emph type="italics"/>T. 11. Angulum in &longs;emicirculo rectum e&longs;&longs;e probari à Geometra per cau&longs;am materia<lb/>

lem. </s>

<s id="id.000155">Zabarella correctus.<emph.end type="italics"/></s>

<s id="id.000155">Zabarella correctus.<emph.end type="italics"/></s>

<s id="id.000156"><emph type="italics"/>T. 24. Echo, Imago è &longs;peculo, Iris.<emph.end type="italics"/></s>

<s id="id.000156"><emph type="italics"/>T. 24. Echo, Imago è &longs;peculo, Iris.<emph.end type="italics"/></s>

<s id="id.000157"><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s>

<s id="id.000157"><emph type="italics"/>T. 25. Permutatim proportionale quid; exemplum in triangulis.<emph.end type="italics"/></s>

<s id="id.000158">In primo lib. Topicorum.</s>

<s id="id.000159"><emph type="italics"/>Cap. 13. Diameter est incommen&longs;urabilis. </s>

<s id="id.000159"><emph type="italics"/>Cap.

13. Diameter est incommen&longs;urabilis. </s>

<s id="id.000160">Vox acuta velox, cur. </s>

<s id="id.000162">Colores in <lb/>

<s id="id.000162">Colores in

Mu&longs;ica, qui. </s>

<lb/>Mu&longs;ica, qui. </s>

<s id="id.000163">tria genera veteris Mu&longs;icæ.<emph.end type="italics"/></s>

<s id="id.000163">tria genera veteris Mu&longs;icæ.<emph.end type="italics"/></s>

<s id="id.000164">In 4. libro.</s>

<s id="id.000164">In 4. libro.</s>

<s id="id.000165"><emph type="italics"/>Cap.

<s id="id.000165"><emph type="italics"/>Cap. 1. loco 1. lineæ in&longs;ecabiles.<emph.end type="italics"/></s>

1. loco 1. lineæ in&longs;ecabiles.<emph.end type="italics"/></s>

<s id="id.000166">In 6. libro.</s>

<s id="id.000166">In 6. libro.</s>

<s id="id.000167"><emph type="italics"/>Cap.

<s id="id.000167"><emph type="italics"/>Cap. 2. loco 32. Definitio lineæ.<emph.end type="italics"/></s>

2. loco 32. Definitio lineæ.<emph.end type="italics"/></s>

<s id="id.000168">In 8. libro.</s>

<s id="id.000168">In 8. libro.</s>

<s id="id.000169"><emph type="italics"/>Cap.

<s id="id.000169"><emph type="italics"/>Cap. 2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/></s>

2. loco 41. V&longs;us Definitionum in Mathematicis.<emph.end type="italics"/></s>

<s id="id.000170"><emph type="italics"/>Cap. 4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s>

<s id="id.000170"><emph type="italics"/>Cap.

4. loco 86. Elementa geometrica: Numeri capitales.<emph.end type="italics"/></s>

<s id="id.000171">In Elenchorum lib. 1.</s>

<s id="id.000171">In Elenchorum lib.

<s id="id.000172"><emph type="italics"/>Cap. 10. Quid P&longs;eudographia. </s>

1.</s>

<s id="id.000173">Quadratura rur&longs;us Hippocratis, & Bry&longs;onis. </s>

<s id="id.000174">Mathe<lb/>

<s id="id.000172"><emph type="italics"/>Cap.

maticæ non contentio&longs;æ. </s>

<s id="id.000175">Quadratio Antiphontis.<emph.end type="italics"/></s>

10. Quid P&longs;eudographia. </s>

<s id="id.000173">Quadraturarur&longs;us Hippocratis, & Bry&longs;enis. </s>

<s id="id.000176">Ex 1. Phy&longs;ic.</s>

<s id="id.000174">Mathe

<lb/>maticæ non contentio&longs;æ. </s>

<s id="id.000177"><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, & Antiphontis.<emph.end type="italics"/></s>

<s id="id.000175">Quadratio Antiphontis.<emph.end type="italics"/></s>

<s id="id.000178">Ex 2. Phy&longs;ic.</s>

<s id="id.000176">Ex 1. Phy&longs;ic.</s>

<s id="id.000177"><emph type="italics"/>T. 11. De Quadraturis circuli Hippocratis, & Antiphontis.<emph.end type="italics"/></s>

<s id="id.000179"><emph type="italics"/>T. 20. Quatenus Per&longs;pectiuus con&longs;ideret lineam.<emph.end type="italics"/></s>

<s id="id.000178">Ex 2. Phy&longs;ic.</s>

<s id="id.000180"><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/></s>

<s id="id.000179"><emph type="italics"/>T. 20. Quatenus Per&longs;pectmus con&longs;ideret lineam.<emph.end type="italics"/></s>

<s id="id.000180"><emph type="italics"/>T. 28. Quid con&longs;onantia Diapa&longs;on.<emph.end type="italics"/></s>

<s id="id.000181"><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes babere cau&longs;am, quæ reducitur ad defini<lb/>

tionem.<emph.end type="italics"/></s>

<s id="id.000181"><emph type="italics"/>T. 68. Mathematicas Demon&longs;trationes babere cau&longs;am, quæ reducitur ad defini

<lb/>tionem.<emph.end type="italics"/></s>

<s id="id.000182"><emph type="italics"/>T. 8. De nece&longs;&longs;ario, quod e&longs;t in Mathematicis. </s>

<s id="id.000183">& omnis triangulus habet tres an<lb/>

<s id="id.000183">& omnis triangulus habet tres an

gulos, &c.<emph.end type="italics"/></s>

<lb/>gulos, &c.<emph.end type="italics"/></s>

<s id="id.000184">Ex 3. Phy&longs;ic.</s>

<s id="id.000184">Ex 3. Phy&longs;ic.</s>

<s id="id.000185"><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s>

<s id="id.000185"><emph type="italics"/>T. 76. Quinam numeri dicantur Gnomones.<emph.end type="italics"/></s>

<s id="id.000186"><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/></s>

<s id="id.000187"><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/></s><pb xlink:href="009/01/014.jpg" pagenum="14"/>

<s id="id.000186"><emph type="italics"/>T. 31. Quonam infinito vtantur Mathematici.<emph.end type="italics"/></s>

<s id="id.000188">Ex 4. Phy&longs;ic.</s>

<s id="id.000187"><emph type="italics"/>T. 71. De infinito Mathematica.<emph.end type="italics"/></s>

<s id="id.000188">Ex 4. Phy&longs;ic.</s>

<s id="id.000189"><emph type="italics"/>T. 120. De commen&longs;urab. </s>

<s id="id.000190">& incommen&longs;.<emph.end type="italics"/></s>

<s id="id.000190">& incommen&longs;.<emph.end type="italics"/></s>

<s id="id.000191">Ex 5. Phy&longs;ic.</s>

<s id="id.000191">Ex 5. Phy&longs;ic.</s>

<s id="id.000192"><emph type="italics"/>T. 6. De chordis, graui, acuta; media, & vltima.<emph.end type="italics"/></s>

<s id="id.000192"><emph type="italics"/>T. 6. De chordis, graui, acuta; media, & vltima.<emph.end type="italics"/></s>

<s id="id.000193">Ex 8. Phy&longs;ic.</s>

<s id="id.000194"><emph type="italics"/>T. 15. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000193">Ex 8. Phy&longs;ic.</s>

<s id="id.000195">Ex 1. de C&oelig;lo.</s>

<s id="id.000194"><emph type="italics"/>T. 15. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000196"><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s>

<s id="id.000197"><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s>

<s id="id.000195">Ex 1. de C&oelig;lo.</s>

<s id="id.000196"><emph type="italics"/>T. 33. De minimo indiui&longs;ibili.<emph.end type="italics"/></s>

<s id="id.000197"><emph type="italics"/>T. 36. Ratione vtitur lineari; vt probet mundum e&longs;&longs;e finitum.<emph.end type="italics"/></s>

<s id="id.000198"><emph type="italics"/>T. 48. Commen&longs;urab. & incommen&longs;urab. </s>

<s id="id.000200"><emph type="italics"/>T. 119. Omnis triangulus habet tres, &c. </s>

<s id="id.000201">Item de commen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000201">Item de commen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000202">Ex 2. de C&oelig;lo.</s>

<s id="id.000202">Ex 2. de C&oelig;lo.</s>

<s id="id.000203"><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, quì.<emph.end type="italics"/></s>

<s id="id.000203"><emph type="italics"/>T. 24. Plato ex planis &longs;olida componebat, quì.<emph.end type="italics"/></s>

<s id="id.000204"><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s>

<s id="id.000205"><emph type="italics"/>T. 31. Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam.<emph.end type="italics"/></s>

<s id="id.000204"><emph type="italics"/>T. 25. Ordo figurarum planarum.<emph.end type="italics"/></s>

<s id="id.000205"><emph type="italics"/>T. 31. Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam.<emph.end type="italics"/></s>

<s id="id.000206"><emph type="italics"/>T. 46. Maiorem circulum velocius moueri. </s>

<s id="id.000207">Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s>

<s id="id.000207">Recentiorum ob&longs;eruationes.<emph.end type="italics"/></s>

<s id="id.000208"><emph type="italics"/>T. 57. De ordine C&oelig;lorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s>

<s id="id.000208"><emph type="italics"/>T. 57. De ordine C&oelig;lorum ex &longs;ententia A&longs;tronomorum.<emph.end type="italics"/></s>

<s id="id.000209"><emph type="italics"/>T. 59. De rotunditate Lunæ, bis.<emph.end type="italics"/></s>

<s id="id.000209"><emph type="italics"/>T. 59. De rotunditate Lunæ, bis.<emph.end type="italics"/></s>

<s id="id.000210"><emph type="italics"/>T. 107. Centrum duplex grauit: & molis. </s>

<s id="id.000211">Qua ratione grauia ad mundi centrum <lb/>

<s id="id.000211">Qua ratione grauia ad mundi centrum

aptarentur.<emph.end type="italics"/></s>

<lb/>aptarentur.<emph.end type="italics"/></s>

<s id="id.000212"><emph type="italics"/>T. 109. Terram e&longs;&longs;e rotundam. </s>

<s id="id.000214"><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu C&oelig;li.<emph.end type="italics"/></s>

<s id="id.000214"><emph type="italics"/>T. 110. Terram e&longs;&longs;e paruam re&longs;pectu C&oelig;li.<emph.end type="italics"/></s>

<s id="id.000215"><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s>

<s id="id.000215"><emph type="italics"/>T. 111. Mare occidentale coniungi indico.<emph.end type="italics"/></s>

<s id="id.000216"><emph type="italics"/>T. 112. De quantitate Terræ.<emph.end type="italics"/></s>

<s id="id.000217">Ex 3. de C&oelig;lo.</s>

<s id="id.000216"><emph type="italics"/>T. 112. De quantitate Terræ.<emph.end type="italics"/></s>

<s id="id.000218"><emph type="italics"/>T. 40. Vt componatur &longs;phæra.<emph.end type="italics"/></s>

<s id="id.000217">Ex 3. de C&oelig;lo.</s>

<s id="id.000219"><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s>

<s id="id.000218"><emph type="italics"/>T. 40. Vt componatur &longs;phæra.<emph.end type="italics"/></s>

<s id="id.000219"><emph type="italics"/>T. 66. Omne corpus diui&longs;ibile.<emph.end type="italics"/></s>

<s id="id.000220"><emph type="italics"/>T. 66. Quænam planarum figurarum totum &longs;patium repleant. </s>

<s id="id.000221">Hinc de admirabili <lb/>Apum ingenio.<emph.end type="italics"/></s>

<s id="id.000221">Hinc de admirabili

<lb/>Apum mgenio.<emph.end type="italics"/></s>

<s id="id.000222"><emph type="italics"/>T. eodem. </s>

<s id="id.000223">Num plures Pyramides locum replere valeant, vbi Ari&longs;totiles, & omnes <lb/>

<s id="id.000223">Num plures Pyramides locum replere valeant, vbi Ari&longs;totiles, & omnes

expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s>

<lb/>expo&longs;itores erra&longs;&longs;e o&longs;tenduntur.<emph.end type="italics"/></s>

<s id="id.000224"><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s>

<s id="id.000224"><emph type="italics"/>T. 71. Terram e&longs;&longs;e cubum, cur dictum &longs;it.<emph.end type="italics"/></s>

<s id="id.000225">Ex 4. de C&oelig;lo.</s>

<s id="id.000225">Ex 4. de C&oelig;lo.</s>

<s id="id.000226"><emph type="italics"/>T. 33. Extare centrum Mundi, quò grauia tendunt, à quo leuia abeant.<emph.end type="italics"/></s>

<s id="id.000227"><emph type="italics"/>T. 44. & <expan abbr="&longs;eq.">&longs;eque</expan> Cur quædam grauiora quàm aqua, &longs;upernatent.<emph.end type="italics"/></s>

<s id="id.000226"><emph type="italics"/>T. 33. Extare centrum Mundi, quò grauia tendunt, à quo leuia abeant.<emph.end type="italics"/></s>

<s id="id.000228">Ex 2. de Generatione, & Corruptione.</s>

<s id="id.000227"><emph type="italics"/>T. 44. & <expan abbr="&longs;eq.">&longs;eque</expan> Cur quædam grauiora quàm aqua, &longs;upernatent.<emph.end type="italics"/></s>

<s id="id.000229"><emph type="italics"/>Tex. 56. Cur Planetæ duobus motibus moueri dicantur.<emph.end type="italics"/></s>

<s id="id.000230">Ex 1. Meteororum.</s>

<s id="id.000228">Ex 2. de Generatione, & Corruptione.</s>

<s id="id.000231"><emph type="italics"/>Summa prima cap.

<s id="id.000229"><emph type="italics"/>Tex. 56. Cur Planetæ duobus motibus moueri dicantur.<emph.end type="italics"/></s>

3. De magnitudine Terræ ad a&longs;tra, & &longs;olem collata.<emph.end type="italics"/></s>

<s id="id.000232"><emph type="italics"/>Cap.

<s id="id.000230">Ex 1. Meteororum.</s>

eodem. </s>

<s id="id.000231"><emph type="italics"/>Summa prima cap. 3. De magnitudine Terræ ad a&longs;tra, & &longs;olem collata.<emph.end type="italics"/></s>

<s id="id.000233">De magnitudine A&longs;trorum.<emph.end type="italics"/></s>

<s id="id.000234"><emph type="italics"/>Cap.

<s id="id.000232"><emph type="italics"/>Cap. eodem. </s>

<s id="id.000233">De magnitudine A&longs;trorum.<emph.end type="italics"/></s>

4. De ordine Luminarium Solis, & Lunæ.<emph.end type="italics"/></s>

<s id="id.000235"><emph type="italics"/>Summa 2. cap.

<s id="id.000234"><emph type="italics"/>Cap. 4. De ordine Luminarium Solis, & Lunæ.<emph.end type="italics"/></s>

3. de Mercurij stella. </s>

<s id="id.000235"><emph type="italics"/>Summa 2. cap. 3. de Mercurij stella. </s>

<s id="id.000236">Item de Cometa: e&longs;&longs;e in C&oelig;lo.<emph.end type="italics"/></s>

<s id="id.000236">Item de Cometa: e&longs;&longs;e in C&oelig;lo.<emph.end type="italics"/></s>

<s id="id.000237"><emph type="italics"/>Cap.

<s id="id.000237"><emph type="italics"/>Cap. 5. De Magnitudine Solis, & de vmbra Terræ.<emph.end type="italics"/></s>

5. De Magnitudine Solis, & de vmbra Terræ.<emph.end type="italics"/></s>

<s id="id.000238"><emph type="italics"/>Cap.

<s id="id.000238"><emph type="italics"/>Cap. 5. De Glaxia.<emph.end type="italics"/></s>

5. De Glaxia.<emph.end type="italics"/></s>

<s id="id.000239"><emph type="italics"/>Cap. 6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde <lb/>

<s id="id.000239"><emph type="italics"/>Cap.

aperitur.<emph.end type="italics"/></s>

6. Sententia Ari&longs;totelis de Glaxia, partim defenditur: vera, deinde

<lb/>aperitur.<emph.end type="italics"/></s><pb xlink:href="009/01/015.jpg" pagenum="15"/>

<s id="id.000240"><emph type="italics"/>Summa 4. cap 1. De Monte Parna&longs;&longs;o, dubia. </s>

<s id="id.000241">Mare extraneum, quod. </s>

<s id="id.000242">Errata quæ<lb/>

<s id="id.000242">Errata quæ

dam veterum Geographorum, & Ari&longs;t. corriguntur. </s>

<lb/>dam veterum Geographorum, & Ari&longs;t.

<s id="id.000243">Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s>

corriguntur. </s>

<s id="id.000244"><emph type="italics"/>Cap. 2. De permutatione Aquarum, & continentis. </s>

<s id="id.000243">Altitudo montis Cauca&longs;i.<emph.end type="italics"/></s>

<s id="id.000245">Noua ob&longs;eruatio de rotundi<lb/>

tate Terræ, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s>

<s id="id.000244"><emph type="italics"/>Cap.

2. De permutatione Aquarum, & continentis. </s>

<s id="id.000246">Ex 2. Meteororum.</s>

<s id="id.000245">Noua ob&longs;eruatio de rotundi

<lb/>tate Terræ, <expan abbr="atq;">atque</expan> Mundi duratione.<emph.end type="italics"/></s>

<s id="id.000247"><emph type="italics"/>Summa 1. cap. 1. De Mari rubro.<emph.end type="italics"/></s>

<s id="id.000246">Ex 2. Meteororum.</s>

<s id="id.000248"><emph type="italics"/>Summa 2. cap. 2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s>

<s id="id.000247"><emph type="italics"/>Summa 1. cap.

1. De Mari rubro.<emph.end type="italics"/></s>

<s id="id.000249"><emph type="italics"/>Cap. eodem, De Canicula. </s>

<s id="id.000248"><emph type="italics"/>Summa 2. cap.

2. De ortu stellarum fixarum: Item de occa&longs;u earumdem.<emph.end type="italics"/></s>

<s id="id.000249"><emph type="italics"/>Cap.

eodem, De Canicula. </s>

<s id="id.000250">De Zonis temperatis. </s>

<s id="id.000251">Corona Ariadnæ. </s>

<s id="id.000252">Zonam torridam <lb/>

<s id="id.000252">Zonam torridam

falsò putabant inho&longs;pitalem. </s>

<lb/>falsò putabant inho&longs;pitalem. </s>

<s id="id.000253">cur habitabilis.<emph.end type="italics"/></s>

<s id="id.000253">cur habitabilis.<emph.end type="italics"/></s>

<s id="id.000254"><emph type="italics"/>Cap. 3. De Ventorum &longs;itu.<emph.end type="italics"/></s>

<s id="id.000254"><emph type="italics"/>Cap.

3. De Ventorum &longs;itu.<emph.end type="italics"/></s>

<s id="id.000255">Ex 3. Meteor.</s>

<s id="id.000255">Ex 3. Meteor.</s>

<s id="id.000256"><emph type="italics"/>Summa 2. cap. 2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;tratio.<emph.end type="italics"/></s>

<s id="id.000256"><emph type="italics"/>Summa 2. cap.

2. De Halone, &longs;eu Area, &longs;eu Corona, Mathematica demon&longs;tratio.<emph.end type="italics"/></s>

<s id="id.000257"><emph type="italics"/>Cap. 4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s>

<s id="id.000258">Noua de eadem <lb/>

<s id="id.000257"><emph type="italics"/>Cap.

tractatio.<emph.end type="italics"/></s>

4. De Iridis figura Mathematica demon&longs;tratio, &longs;ed deficiens. </s>

<s id="id.000259"><emph type="italics"/>Cap. 5. De Parelio. </s>

<s id="id.000258">Noua de eadem

<s id="id.000260">Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s>

<lb/>tractatio.<emph.end type="italics"/></s>

<s id="id.000259"><emph type="italics"/>Cap.

<s id="id.000261">Ex 1. De Anima.</s>

5. De Parelio. </s>

<s id="id.000260">Rationes Ari&longs;totelis refelluntur.<emph.end type="italics"/></s>

<s id="id.000261">Ex 1. De Anima.</s>

<s id="id.000262"><emph type="italics"/>Tex. 11. Quid rectum, quid obliquum. </s>

<s id="id.000263">& omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000263">& omnis triangulus babet tres, &c.<emph.end type="italics"/></s>

<s id="id.000264"><emph type="italics"/>T. 13. Sphæra planum tangit in puncto.<emph.end type="italics"/></s>

<s id="id.000264"><emph type="italics"/>T. 13. Sphæra planum tangit in puncto.<emph.end type="italics"/></s>

<s id="id.000265">Ex 2. De Anima.</s>

<s id="id.000265">Ex 2. De Anima.</s>

<s id="id.000266"><emph type="italics"/>T. 12. Definitioncm formalem, & cau&longs;alem explicat exemplo Quadrationis Geo

<lb/>metricæ.<emph.end type="italics"/></s>

<s id="id.000266"><emph type="italics"/>T. 12. Definitionem formalem, & cau&longs;alem explicat exemplo Quadrationis Geo<lb/>

<s id="id.000267"><emph type="italics"/>T. 86. Acutum, & Graue, vt differant.<emph.end type="italics"/></s>

metricæ.<emph.end type="italics"/></s>

<s id="id.000268"><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s>

<s id="id.000267"><emph type="italics"/>T. 86. Acutum, & Graue, vt differant.<emph.end type="italics"/></s>

<s id="id.000269">Ex 3. De Anima.</s>

<s id="id.000270"><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s>

<s id="id.000268"><emph type="italics"/>T. 159. De Solis magnitudine ad terram.<emph.end type="italics"/></s>

<s id="id.000271"><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s>

<s id="id.000269">Ex 3. De Anima.</s>

<s id="id.000272"><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s>

<s id="id.000270"><emph type="italics"/>T. 21. Incommen&longs;urabile.<emph.end type="italics"/></s>

<s id="id.000271"><emph type="italics"/>T. 25. Indiui&longs;ibilia e&longs;&longs;e priuationes.<emph.end type="italics"/></s>

<s id="id.000272"><emph type="italics"/>T. 32. Permutata proportio.<emph.end type="italics"/></s>

<s id="id.000273">Ex lib. De Sen&longs;u.</s>

<s id="id.000274"><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000274"><emph type="italics"/>Capite 6. Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000275"><emph type="italics"/>Cap.

8. Nete. </s>

<s id="id.000276">Diapa&longs;on. </s>

<s id="id.000277">Diapen&longs;e.<emph.end type="italics"/></s>

<s id="id.000277">Diapen&longs;e.<emph.end type="italics"/></s>

<s id="id.000278">Ex lib. De Memoria, & Rem.</s>

<s id="id.000279"><emph type="italics"/>Cap. 1. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000279"><emph type="italics"/>Cap.

1. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000280"><emph type="italics"/>Cap. 3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s>

<s id="id.000280"><emph type="italics"/>Cap.

3. Mathemata facile remini&longs;cibilia.<emph.end type="italics"/></s>

<s id="id.000281">Ex lib. De Somnijs.</s>

<s id="id.000282"><emph type="italics"/>Cap. 2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s>

<s id="id.000282"><emph type="italics"/>Cap.

2. Terra, cur nauigantibus moueri videatur.<emph.end type="italics"/></s>

<s id="id.000283"><emph type="italics"/>Cap. 3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s>

<s id="id.000283"><emph type="italics"/>Cap.

<s id="id.000284">Ex 1. Methaphy&longs;.</s>

3. Cur Oculus digito dimotus res geminatas videat.<emph.end type="italics"/></s>

<s id="id.000284">Ex 1. Methaphy&longs;.</s>

<s id="id.000285"><emph type="italics"/>Cap. 1. Initium Mathematicarum ab Aegyptiorum Sacerdotibus. </s>

<s id="id.000286">Item, Automata, <lb/>

<s id="id.000285"><emph type="italics"/>Cap.

quæ &longs;olstitia. </s>

<s id="id.000287">Diameter incommen&longs;.<emph.end type="italics"/></s>

1. Initium Mathematicarum ab Aegyptiorum Saterdotibus. </s>

<s id="id.000286">Item, Automata,

<s id="id.000288"><emph type="italics"/>Summa 2. cap. 3. Pythagorei Mathematicas cæteris præferebant.<emph.end type="italics"/></s>

<lb/>quæ &longs;olstitia. </s>

<s id="id.000287">Diameter incommen&longs;.<emph.end type="italics"/></s>

<s id="id.000289"><emph type="italics"/>T. 47. Geometria habet &longs;uas præcognitiones.<emph.end type="italics"/></s>

<s id="id.000288"><emph type="italics"/>Summa 2. cap.

<s id="id.000290">Ex 2. Methaphy&longs;.</s>

3. Pythagorei Mathematicas cæteris præferebant.<emph.end type="italics"/></s>

<s id="id.000289"><emph type="italics"/>T. 47. Geometria habet &longs;uas præcognitiones.<emph.end type="italics"/></s>

<s id="id.000291"><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s>

<s id="id.000290">Ex 2. Methaphy&longs;.</s>

<s id="id.000292">Ex 3. Methaphy&longs;.</s>

<s id="id.000291"><emph type="italics"/>T. 14. Leges apud Mu&longs;icos quid.<emph.end type="italics"/></s>

<s id="id.000292">Ex 3. Methaphy&longs;.</s>

<s id="id.000294">Mathematicas puras carere cau&longs;is efficiente, & finali. </s>

<s id="id.000295">Ari&longs;tippus, vt Mathe<lb/>

<s id="id.000295">Ari&longs;tippus, vt Mathe

maticas &longs;ugillaret. </s>

<lb/>maticas &longs;ugillaret. </s>

<s id="id.000296">Tetragoni&longs;mus est inuentio mediæ.<emph.end type="italics"/></s>

<s id="id.000296">Tetragoni&longs;mus est inuentio mediæ.<emph.end type="italics"/></s><pb xlink:href="009/01/016.jpg" pagenum="16"/>

<s id="id.000297"><emph type="italics"/>Tex. 8. Geodæ&longs;ia quid.<emph.end type="italics"/></s>

<s id="id.000297"><emph type="italics"/>Tex. 8. Geodæ&longs;ia quid.<emph.end type="italics"/></s>

<s id="id.000298">Ex 4. Methaphy&longs;.</s>

<s id="id.000298">Ex 4. Methaphy&longs;.</s>

<s id="id.000299"><emph type="italics"/>T. 4. Quæ &longs;int primæ, & quæ &longs;ecundæ inter Mathematicas.<emph.end type="italics"/></s>

<s id="id.000300"><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000299"><emph type="italics"/>T. 4. Quæ &longs;int primæ, & quæ &longs;ecundæ inter Mathematicas.<emph.end type="italics"/></s>

<s id="id.000301">Ex 5. Methaphy&longs;.</s>

<s id="id.000300"><emph type="italics"/>T. 28. Diameter, commen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000301">Ex 5. Methaphy&longs;.</s>

<s id="id.000302"><emph type="italics"/>T. 2. Exemplum cau&longs;æ formalis ex Diapa&longs;on. </s>

<s id="id.000303">Quæ &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s>

<s id="id.000303">Quæ &longs;int proportiones Mu&longs;icales.<emph.end type="italics"/></s>

<s id="id.000304"><emph type="italics"/>T. 3. Quæ &longs;it Materia in Mathematicis.<emph.end type="italics"/></s>

<s id="id.000304"><emph type="italics"/>T. 3. Quæ &longs;it Materia in Mathematicis.<emph.end type="italics"/></s>

<s id="id.000305"><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s>

<s id="id.000305"><emph type="italics"/>T. 4. Quidnam &longs;int elementa apud Geometras.<emph.end type="italics"/></s>

<s id="id.000306"><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000306"><emph type="italics"/>T. 12. Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000307"><emph type="italics"/>T. 17. Diameter incommen&longs;urab. </s>

<s id="id.000308">Quid potentia vnius lineæ.<emph.end type="italics"/></s>

<s id="id.000308">Quid potentia vnius lineæ.<emph.end type="italics"/></s>

<s id="id.000309"><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000309"><emph type="italics"/>T. 34. Diameter incommen&longs;urabilis.<emph.end type="italics"/></s>

<s id="id.000310">Ex 6. Methaphy&longs;.</s>

<s id="id.000310">Ex 6. Methaphy&longs;.</s>

<s id="id.000311"><emph type="italics"/>T. 1. Principia, elementa, & cau&longs;æ in Mathem.<emph.end type="italics"/></s>

<s id="id.000311"><emph type="italics"/>T. 1. Principia, elementa, & cau&longs;æ in Mathem.<emph.end type="italics"/></s>

<s id="id.000312"><emph type="italics"/>T. 8. Diameter. </s>

<s id="id.000313">commen&longs;urab.<emph.end type="italics"/></s>

<s id="id.000313">commen&longs;urab.<emph.end type="italics"/></s>

<s id="id.000314"><emph type="italics"/>T. 20. De&longs;criptiones. </s>

<s id="id.000315">Omnis triangulus habet tres, &c. </s>

<s id="id.000316">Cur Angulus in &longs;emicir<lb/>

<s id="id.000316">Cur Angulus in &longs;emicir

culo rectus.<emph.end type="italics"/></s>

<lb/>culo rectus.<emph.end type="italics"/></s>

<s id="id.000317"><emph type="italics"/>T. 22. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000317"><emph type="italics"/>T. 22. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000318">Ex 10. Methaphy&longs;.</s>

<s id="id.000318">Ex 10. Methaphy&longs;.</s>

<s id="id.000319"><emph type="italics"/>T. 4. Motum diurnum men&longs;uram reliquorum. </s>

<s id="id.000320">Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000320">Die&longs;is.<emph.end type="italics"/></s>

<s id="id.000321"><emph type="italics"/>T. 11. Similes figuræ quæ. </s>

<s id="id.000322">Diuer&longs;um in Math. quid.<emph.end type="italics"/></s>

<s id="id.000322">Diuer&longs;um in Math. quid.<emph.end type="italics"/></s>

<s id="id.000323">Ex 11. Methaphy&longs;.</s>

<s id="id.000323">Ex 11. Methaphy&longs;.</s>

<s id="id.000324"><emph type="italics"/>Cap.

<s id="id.000324"><emph type="italics"/>Cap. 2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s>

2. Ortus punctorum, linearum, &longs;uperficierum.<emph.end type="italics"/></s>

<s id="id.000325">Ex 12. Methaphy&longs;.</s>

<s id="id.000325">Ex 12. Methaphy&longs;.</s>

<s id="id.000326"><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>

<s id="id.000326"><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>

<s id="id.000327"><emph type="italics"/>T. 45. Numerus orbium c&oelig;le&longs;t ium &longs;ecundum Eudoxum.<emph.end type="italics"/></s>

<s id="id.000328"><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s>

<s id="id.000327"><emph type="italics"/>T. 45. Numerus orbium c&oelig;le&longs;tium &longs;ecundum Eudoxum.<emph.end type="italics"/></s>

<s id="id.000329"><emph type="italics"/>T. 47. Orbium c&oelig;le&longs;tium numerus, & fabrica ex Calippo.<emph.end type="italics"/></s>

<s id="id.000328"><emph type="italics"/>T. 46. Itidem ex Eudoxo.<emph.end type="italics"/></s>

<s id="id.000330">Ex 13. Methaphy&longs;.</s>

<s id="id.000331"><emph type="italics"/>Cap.

<s id="id.000329"><emph type="italics"/>T. 47. Orbium c&oelig;le&longs;tium numerus, & fabrica ex Calippo.<emph.end type="italics"/></s>

3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/></s>

<s id="id.000330">Ex 13. Methaphy&longs;.</s>

<s id="id.000332">In Mechanicas Quæ&longs;tiones.</s>

<s id="id.000333"><emph type="italics"/>Cap.

<s id="id.000331"><emph type="italics"/>Cap. 3. Qua ratione Mathematici tractant de Bono.<emph.end type="italics"/></s>

1. Quæ &longs;it Mechanica facultas.<emph.end type="italics"/></s>

<s id="id.000332">In Mechanicas Quæ&longs;tiones.</s>

<s id="id.000334"><emph type="italics"/>Cap.

2. De Admirandis circuli.<emph.end type="italics"/></s>

<s id="id.000333"><emph type="italics"/>Cap. 1. Quæ &longs;it Mechanica facultas.<emph.end type="italics"/></s>

<s id="id.000334"><emph type="italics"/>Cap. 2. De Admirandis circuli.<emph.end type="italics"/></s>

<s id="id.000335"><emph type="italics"/>Quæ&longs;tio 1. De Libra. </s>

<s id="id.000336">cur maior, exactior. </s>

<s id="id.000337">inibi Ari&longs;t. lap&longs;us.<emph.end type="italics"/></s>

<s id="id.000337">inibi Ari&longs;t.

lap&longs;us.<emph.end type="italics"/></s>

<s id="id.000338"><emph type="italics"/>Quæ&longs;t. 2. Duplex Libra. </s>

<s id="id.000339">Piccolomineus reiectus.<emph.end type="italics"/></s>

<s id="id.000339">Piccolomineus reiectus.<emph.end type="italics"/></s>

<s id="id.000340"><emph type="italics"/>Quæ&longs;t. 3. De Vecte.<emph.end type="italics"/></s>

<s id="id.000340"><emph type="italics"/>Quæ&longs;t. 3. De Vecte.<emph.end type="italics"/></s>

<s id="id.000341"><emph type="italics"/>Quæ&longs;t. 4. De Remo; Petri Nonÿ in Arist.

<s id="id.000341"><emph type="italics"/>Quæ&longs;t. 4. De Remo; Petri Nonÿ in Arist. correctio.<emph.end type="italics"/></s>

correctio.<emph.end type="italics"/></s>

<s id="id.000342"><emph type="italics"/>Quæ&longs;t. 5. De Temone Nauis.<emph.end type="italics"/></s>

<s id="id.000342"><emph type="italics"/>Quæ&longs;t. 5. De Temone Nauis.<emph.end type="italics"/></s>

<s id="id.000343"><emph type="italics"/>Quæ&longs;t. 6. De Antenna.<emph.end type="italics"/></s>

<s id="id.000343"><emph type="italics"/>Quæ&longs;t. 6. De Antenna.<emph.end type="italics"/></s>

<s id="id.000344"><emph type="italics"/>Quæ&longs;t. 8 De Rota.<emph.end type="italics"/></s>

<s id="id.000344"><emph type="italics"/>Quæ&longs;t. 8 De Rota.<emph.end type="italics"/></s>

<s id="id.000345"><emph type="italics"/>Quæ&longs;t. 9. De Trochlea, & Scytali. </s>

<s id="id.000346">figura antiquæ &longs;cytalis.<emph.end type="italics"/></s>

<s id="id.000346">figura antiquæ &longs;cytalis.<emph.end type="italics"/></s>

<s id="id.000347"><emph type="italics"/>Quæ&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s>

<s id="id.000347"><emph type="italics"/>Quæ&longs;t. 10. De Libra vacua.<emph.end type="italics"/></s>

<s id="id.000348"><emph type="italics"/>Qùæ&longs;t. 11. De Curru, & &longs;cytala.<emph.end type="italics"/></s>

<s id="id.000349"><emph type="italics"/>Quæ&longs;t. 13. De lugo. </s>

<s id="id.000350">De Succula.<emph.end type="italics"/></s>

<s id="id.000350">De Succula.<emph.end type="italics"/></s>

<s id="id.000351"><emph type="italics"/>Quæ&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s>

<s id="id.000351"><emph type="italics"/>Quæ&longs;t. 15. De Vmbelicis.<emph.end type="italics"/></s>

<s id="id.000352"><emph type="italics"/>Quæ&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s><pb xlink:href="009/01/017.jpg" pagenum="17"/>

<s id="id.000352"><emph type="italics"/>Quæ&longs;t. 16. De ligni oblongi, ac breuis flexura.<emph.end type="italics"/></s>

<s id="id.000353"><emph type="italics"/>Quæ&longs;t. 17. De Cuneo.<emph.end type="italics"/></s>

<s id="id.000354"><emph type="italics"/>Quæ&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s>

<s id="id.000353"><emph type="italics"/>Quæ&longs;t. 17. De Cuneo.<emph.end type="italics"/></s>

<s id="id.000354"><emph type="italics"/>Quæ&longs;t. 18. De Trochlea; error Piccolominei.<emph.end type="italics"/></s>

<s id="id.000355"><emph type="italics"/>Quæ&longs;t. 19. De Securi. </s>

<s id="id.000356">Securis veteris figura, & con&longs;tructio; vnà cum affectione <lb/>

<s id="id.000356">Securis veteris figura, & con&longs;tructio; vnà cum affectione

eius mirabili.<emph.end type="italics"/></s>

<lb/>eius mirabili.<emph.end type="italics"/></s>

<s id="id.000357"><emph type="italics"/>Quæ&longs;t. 20. De Statera. </s>

<s id="id.000358">Veteris stateræ figura restaurata.<emph.end type="italics"/></s>

<s id="id.000358">Veteris stateræ figura restaurata.<emph.end type="italics"/></s>

<s id="id.000359"><emph type="italics"/>Quæ&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/></s>

<s id="id.000359"><emph type="italics"/>Quæ&longs;t. 21. De Dentiforcipe.<emph.end type="italics"/></s>

<s id="id.000360"><emph type="italics"/>Quæ&longs;t. 22. De Nucifrago.<emph.end type="italics"/></s>

<s id="id.000360"><emph type="italics"/>Quæ&longs;t. 22. De Nucifrago.<emph.end type="italics"/></s>

<s id="id.000361"><emph type="italics"/>Quæ&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/></s>

<s id="id.000362"><emph type="italics"/>Quæ&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s>

<s id="id.000361"><emph type="italics"/>Quæ&longs;t. 23. De Motibus in Rhombo.<emph.end type="italics"/></s>

<s id="id.000363"><emph type="italics"/>Quæ&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s>

<s id="id.000362"><emph type="italics"/>Quæ&longs;t. 24. De duobus circulis concentricis.<emph.end type="italics"/></s>

<s id="id.000364"><emph type="italics"/>Quæ&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s>

<s id="id.000365"><emph type="italics"/>Quæ&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s>

<s id="id.000363"><emph type="italics"/>Quæ&longs;t. 25. De funibus lectulorum.<emph.end type="italics"/></s>

<s id="id.000366"><emph type="italics"/>Quæ&longs;t. 28. De Tollenone.<emph.end type="italics"/></s>

<s id="id.000364"><emph type="italics"/>Quæ&longs;t. 26. De ligno humeris gestato.<emph.end type="italics"/></s>

<s id="id.000367"><emph type="italics"/>Quæ&longs;t. 29. De onere à duobus phalanga ge&longs;tato.<emph.end type="italics"/></s>

<s id="id.000368"><emph type="italics"/>Quæ&longs;t. 30. De &longs;urgente à &longs;e&longs;&longs;ione.<emph.end type="italics"/></s>

<s id="id.000365"><emph type="italics"/>Quæ&longs;t. 27. De ponderibus humero ge&longs;tatis.<emph.end type="italics"/></s>

<s id="id.000369">In libello De Mundo ad Alex.<emph type="italics"/>Cap.

<s id="id.000366"><emph type="italics"/>Quæ&longs;t. 28. De Tollenone.<emph.end type="italics"/></s>

2. Ordo Planetarum.<emph.end type="italics"/></s>

<s id="id.000370"><emph type="italics"/>Cap.

<s id="id.000367"><emph type="italics"/>Quæ&longs;t. 29. De onere à duobus phalanga ge&longs;tato.<emph.end type="italics"/></s>

3. De Cometis.<emph.end type="italics"/></s>

<s id="id.000368"><emph type="italics"/>Quæ&longs;t. 30. De &longs;urgente à &longs;e&longs;&longs;ione.<emph.end type="italics"/></s>

<s id="id.000371"><emph type="italics"/>Cap.

5. De fluxu maris. </s>

<s id="id.000369">In libello De Mundo ad Alex.<emph type="italics"/>Cap. 2. Ordo Planetarum.<emph.end type="italics"/></s>

<s id="id.000372">noua de maris æ&longs;tu &longs;ententia.<emph.end type="italics"/></s>

<s id="id.000370"><emph type="italics"/>Cap. 3. De Cometis.<emph.end type="italics"/></s>

<s id="id.000373">In libro De Admirandis audit.</s>

<s id="id.000371"><emph type="italics"/>Cap. 5. De fluxu maris. </s>

<s id="id.000372">noua de maris æ&longs;tu &longs;ententia.<emph.end type="italics"/></s>

<s id="id.000373">In libro De Admirandis audit.</s>

<s id="id.000376">100. De I&longs;tro, error Ari&longs;t. & veterum Geographorum.<emph.end type="italics"/></s>

<s id="id.000376">100. De I&longs;tro, error Ari&longs;t. & veterum Geographorum.<emph.end type="italics"/></s>

<s id="id.000377">In libello De lineis in&longs;ecabilibus.</s>

<s id="id.000377">In libello De lineis in&longs;ecabilibus.</s>

<s id="id.000378"><emph type="italics"/>Primus locus. </s>

<s id="id.000379">De commen&longs;urabili, & incommen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000379">De commen&longs;urabili, & incommen&longs;urabili.<emph.end type="italics"/></s>

<s id="id.000380"><emph type="italics"/>2. locus. </s>

<s id="id.000381">De figuris incommen&longs;.<emph.end type="italics"/></s>

<s id="id.000381">De figuris incommen&longs;.<emph.end type="italics"/></s>

<s id="id.000382"><emph type="italics"/>3. locus. </s>

<s id="id.000383">Quæ linea rationalis, quæ irrationalis. </s>

<s id="id.000384">Binomio, Apotome.<emph.end type="italics"/></s>

<s id="id.000384">Binomio, Apotome.<emph.end type="italics"/></s>

<s id="id.000385"><emph type="italics"/>4. locus. </s>

<s id="id.000386">De communi men&longs;ura.<emph.end type="italics"/></s>

<s id="id.000386">De communi men&longs;ura.<emph.end type="italics"/></s>

<s id="id.000387"><emph type="italics"/>5. locus. </s>

<s id="id.000388">Lineæ rectæ motus in &longs;emicirculum.<emph.end type="italics"/></s>

<s id="id.000388">Lineæ rectæ motus in &longs;emicirculum.<emph.end type="italics"/></s>

<s id="id.000389"><emph type="italics"/>6. locus. </s>

<s id="id.000390">Circulorum æqualium ab inuicem motus.<emph.end type="italics"/></s>

<s id="id.000390">Circulorum æqualium ab inuicem motus.<emph.end type="italics"/></s>

<s id="id.000391"><emph type="italics"/>7. locus. </s>

<s id="id.000392">Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/></s>

<s id="id.000392">Multum Mathematicis demon&longs;trationibus tribuitur ab Ari&longs;totele.<emph.end type="italics"/></s>

<s id="id.000393"><emph type="italics"/>8. locus. </s>

<s id="id.000394">Si extarent indiuidua, omnes lineæ e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s>

<s id="id.000394">Si extarent indiuidua, omnes lineæ e&longs;&longs;ent commen&longs;.<emph.end type="italics"/></s>

<s id="id.000395"><emph type="italics"/>9. locus. </s>

<s id="id.000396">Idem probat alite&racute;.<emph.end type="italics"/></s>

<s id="id.000396">Idem probat alite&racute;.<emph.end type="italics"/></s>

<s id="id.000397"><emph type="italics"/>10. locus. </s>

<s id="id.000398">Idem ex triangulo.<emph.end type="italics"/></s>

<s id="id.000398">Idem ex triangulo.<emph.end type="italics"/></s>

<s id="id.000399"><emph type="italics"/>11. locus. </s>

<s id="id.000400">Idem ex quadrato.<emph.end type="italics"/></s>

<s id="id.000400">Idem ex quadrato.<emph.end type="italics"/></s>

<s id="id.000401"><emph type="italics"/>12. Ex diui&longs;ione lineæ idem confirmatur.<emph.end type="italics"/></s>

<s id="id.000401"><emph type="italics"/>12. Ex diui&longs;ione lineæ idem confirmatur.<emph.end type="italics"/></s>

<s id="id.000402"><emph type="italics"/>13. Idem eodem ferè modo cum præcedenti.<emph.end type="italics"/></s>

<s id="id.000402"><emph type="italics"/>13. Idem eodem ferè modo cum præcedenti.<emph.end type="italics"/></s>

<s id="id.000403"><emph type="italics"/>14. A quadrato cuiu&longs;uis lineæ.<emph.end type="italics"/></s>

<s id="id.000404"><emph type="italics"/>15. Idem probat ex &longs;uperficie, & ex corpore.<emph.end type="italics"/></s>

<s id="id.000403"><emph type="italics"/>14. A quadrato cuiu&longs;uis lineæ.<emph.end type="italics"/></s>

<s id="id.000405"><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s>

<s id="id.000404"><emph type="italics"/>15. Idem probat ex &longs;uperficie, & ex corpore.<emph.end type="italics"/></s>

<s id="id.000406">Ex lib.

9. Hi&longs;toriæ Animalium.</s>

<s id="id.000405"><emph type="italics"/>16. Idem ex contactu circuli cum linea recta.<emph.end type="italics"/></s>

<s id="id.000407"><emph type="italics"/>Cap.

<s id="id.000406">Ex lib. 9. Hi&longs;toriæ Animalium.</s>

39. error Ari&longs;t. & noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s>

<s id="id.000408">De Ince&longs;&longs;u Animal.</s>

<s id="id.000407"><emph type="italics"/>Cap. 39. error Ari&longs;t. & noua ob&longs;eruatio de admiranda quadam Aranearum indu&longs;tria.<emph.end type="italics"/></s>

<s id="id.000409"><emph type="italics"/>Cap.

<s id="id.000408">De Ince&longs;&longs;u Animal.</s>

7. qua ratione in gre&longs;&longs;u fiat bypotenu&longs;a. </s>

<s id="id.000410">& ea quid &longs;it.<emph.end type="italics"/></s>

<s id="id.000409"><emph type="italics"/>Cap. 7. qua ratione in gre&longs;&longs;u fiat bypotenu&longs;a. </s>

<s id="id.000410">& ea quid &longs;it.<emph.end type="italics"/></s>

<s id="id.000411">De Motu Animal.</s>

<s id="id.000412"><emph type="italics"/>Cap.

<s id="id.000411">De Motu Animal.</s>

1. in flexuris animalium e&longs;&longs;e centrum, & circulum.<emph.end type="italics"/></s>

<s id="id.000412"><emph type="italics"/>Cap. 1. in flexuris animalium e&longs;&longs;e centrum, & circulum.<emph.end type="italics"/></s>

<s id="id.000413"><emph type="italics"/>Cap.

3. Automata.<emph.end type="italics"/></s><pb xlink:href="009/01/018.jpg" pagenum="18"/>

<s id="id.000413"><emph type="italics"/>Cap. 3. Automata.<emph.end type="italics"/></s>

<s id="id.000414">De Generatione Animal.</s>

<s id="id.000415"><emph type="italics"/>Lib. 2. cap.

<s id="id.000414">De Generatione Animal.</s>

1. Automata.<emph.end type="italics"/></s>

<s id="id.000415"><emph type="italics"/>Lib. 2. cap. 1. Automata.<emph.end type="italics"/></s>

<s id="id.000416"><emph type="italics"/>Lib. 2. cap.

4. Omnis triangulus habet tres, &c. </s>

<s id="id.000416"><emph type="italics"/>Lib. 2. cap. 4. Omnis triangulus habet tres, &c. </s>

<s id="id.000417">Ibidem Diametrum e&longs;&longs;e incommen<lb/>

<s id="id.000417">Ibidem Diametrum e&longs;&longs;e incommen

&longs;urabilem co&longs;tæ, habet cau&longs;am, & demon&longs;trationem.<emph.end type="italics"/></s>

<lb/>&longs;urabilem co&longs;tæ, habet cau&longs;am, & demon&longs;trationem.<emph.end type="italics"/></s>

<s id="id.000418">In Ethicis ad Nicom.</s>

<s id="id.000418">In Ethicis ad Nicom.</s>

<s id="id.000419"><emph type="italics"/>Lib. 1. cap.

<s id="id.000419"><emph type="italics"/>Lib. 1. cap. 7. Faber, & Geometra diuersè con&longs;iderant angulum rectum.<emph.end type="italics"/></s>

7. Faber, & Geometra diuersè con&longs;iderant angulum rectum.<emph.end type="italics"/></s>

<s id="id.000420"><emph type="italics"/>Lib. 2. cap.

<s id="id.000420"><emph type="italics"/>Lib. 2. cap. 6. De Arithmetica proportione.<emph.end type="italics"/></s>

6. De Arithmetica proportione.<emph.end type="italics"/></s>

<s id="id.000421"><emph type="italics"/>cap. 9. Centrum circuli reperire.<emph.end type="italics"/></s>

<s id="id.000421"><emph type="italics"/>cap.

9. Centrum circuli reperire.<emph.end type="italics"/></s>

<s id="id.000422"><emph type="italics"/>Lib. 3. cap. 3. Diameter, & latus incommen&longs;urabilis: Item quid re&longs;olutio Geome<lb/>

trica: Quid de&longs;ignatio.<emph.end type="italics"/></s>

<s id="id.000422"><emph type="italics"/>Lib. 3. cap. 3. Diameter, & latus incommen&longs;urabilis: Item quid re&longs;olutio Geome

<lb/>trica: Quid de&longs;ignatio.<emph.end type="italics"/></s>

<s id="id.000423"><emph type="italics"/>Lib. 5. cap. 3. Vnitarius numerus. </s>

<s id="id.000423"><emph type="italics"/>Lib. 5. cap.

3. Vnitarius numerus. </s>

<s id="id.000424">Quid Proportionalitas. </s>

<s id="id.000425">Eam in 4. terminis con<lb/>

<s id="id.000425">Eam in 4. terminis con

&longs;i&longs;tere. </s>

<lb/>&longs;i&longs;tere. </s>

<s id="id.000426">Item quid Permutata proportio. </s>

<s id="id.000427">Item quid Geometrica proportio. </s>

<s id="id.000428">Propor<lb/>

<s id="id.000428">Propor

tio continuata, & di&longs;iuncta quid.<emph.end type="italics"/></s>

<lb/>tio continuata, & di&longs;iuncta quid.<emph.end type="italics"/></s>

<s id="id.000429"><emph type="italics"/>cap.

<s id="id.000429"><emph type="italics"/>cap. 6. Proportio Geometrica, & Arithmetica.<emph.end type="italics"/></s>

6. Proportio Geometrica, & Arithmetica.<emph.end type="italics"/></s>

<s id="id.000430"><emph type="italics"/>Lib. 6. cap. 5. Omnis triangulus, &c.<emph.end type="italics"/></s>

<s id="id.000430"><emph type="italics"/>Lib. 6. cap.

5. Omnis triangulus, &c.<emph.end type="italics"/></s>

<s id="id.000431"><emph type="italics"/>cap. 8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s>

<s id="id.000431"><emph type="italics"/>cap.

<s id="id.000432"><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/></s>

8. Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></s>

<s id="id.000432"><emph type="italics"/>Lib. 7. cap. 8. De principijs Mathem.<emph.end type="italics"/></s>

<s id="id.000433">Ex 1. Magnorum Moralium.</s>

<s id="id.000433">Ex 1. Magnorum Moralium.</s>

<s id="id.000434"><emph type="italics"/>Cap. 1. Numerus pariter par.<emph.end type="italics"/></s>

<s id="id.000434"><emph type="italics"/>Cap.

1. Numerus pariter par.<emph.end type="italics"/></s>

<s id="id.000435"><emph type="italics"/>Cap. 2. Omnis triangulus habet, &c.<emph.end type="italics"/></s>

<s id="id.000435"><emph type="italics"/>Cap.

<s id="id.000436"><emph type="italics"/>Cap. 10 Omnis triangulus habet, &c.<emph.end type="italics"/></s>

2. Omnis triangulus habet, &c.<emph.end type="italics"/></s>

<s id="id.000436"><emph type="italics"/>Cap.

<s id="id.000437"><emph type="italics"/>Cap. 16. Quadratum quatuor rectis æquales habere.<emph.end type="italics"/></s>

10 Omnis triangulus habet, &c.<emph.end type="italics"/></s>

<s id="id.000438"><emph type="italics"/>Cap. 30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s>

<s id="id.000437"><emph type="italics"/>Cap.

16. Quadratum quatuor rectis æquales habere.<emph.end type="italics"/></s>

<s id="id.000438"><emph type="italics"/>Cap.

30. Proportionale in quatuor terminis con&longs;i&longs;tit.<emph.end type="italics"/></s>

<s id="id.000439">Ex 1. lib. Moralium Eudemiorum.</s>

<s id="id.000440"><emph type="italics"/>Cap. 5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s>

<s id="id.000440"><emph type="italics"/>Cap.

5. Duplum inter multiplices rationes primum tenet locum.<emph.end type="italics"/></s>

<s id="id.000441">Ex 1. lib. Mor. Eudemiorum.</s>

<s id="id.000442"><emph type="italics"/>Cap. Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000442"><emph type="italics"/>Cap.

<s id="id.000443"><emph type="italics"/>Cap. 10. Diametrum commen&longs;. </s>

Omnis triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000443"><emph type="italics"/>Cap.

10. Diametrum commen&longs;. </s>

<s id="id.000444">e&longs;&longs;e. </s>

<s id="id.000445">Circuli quadratio.<emph.end type="italics"/></s>

<s id="id.000445">Circuli quadratio.<emph.end type="italics"/></s>

<s id="id.000446"><emph type="italics"/>Cap.

<s id="id.000446"><emph type="italics"/>Cap. 12. Triangulus habet tres, &c.<emph.end type="italics"/></s>

12. Triangulus habet tres, &c.<emph.end type="italics"/></s>

<s id="id.000447">Ex 7. lib. Mor. Eudemiorum.</s>

<s id="id.000448"><emph type="italics"/>Cap. 12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s>

<s id="id.000448"><emph type="italics"/>Cap.

12. Diametralis oppo&longs;itio.<emph.end type="italics"/></s>

<s id="id.000449">Ex 3. lib. Politicorum.</s>

<s id="id.000450"><emph type="italics"/>Cap. 2. Modi Dorius, & Phrygius apud Mu&longs;icos, quì.<emph.end type="italics"/></s>

<s id="id.000450"><emph type="italics"/>Cap.

2. Modi Dorius, & Phrygius apud Mu&longs;icos, quì.<emph.end type="italics"/></s>

<s id="id.000451">Ex 4. lib. Polit.</s>

<s id="id.000452"><emph type="italics"/>Cap. 3. Modus Doricus, & Phrygius.<emph.end type="italics"/></s>

<s id="id.000452"><emph type="italics"/>Cap.

3. Modus Doricus, & Phrygius.<emph.end type="italics"/></s>

<s id="id.000453">Ex 5. lib. Polit.</s>

<s id="id.000454"><emph type="italics"/>Cap. 1. Aequitas Arithmetica, & quæ &longs;ecundum dignitatem.<emph.end type="italics"/></s>

<s id="id.000454"><emph type="italics"/>Cap.

1. Aequitas Arithmetica, & quæ &longs;ecundum dignitatem.<emph.end type="italics"/></s>

<s id="id.000455">Ex 8. Polit.</s>

<s id="id.000455">Ex 8. Polit.</s>

<s id="id.000456"><emph type="italics"/>Cap. 5. Mu&longs;ica nuda, & cum melodia. </s>

<s id="id.000456"><emph type="italics"/>Cap.

<s id="id.000457">Rithmus quid.<emph.end type="italics"/></s>

5. Mu&longs;ica nuda, & cum melodia. </s>

<s id="id.000457">Rithmus quid.<emph.end type="italics"/></s>

<s id="id.000458"><emph type="italics"/>Harmonia lydia. </s>

<s id="id.000459">Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s>

<s id="id.000459">Rithmus quid &longs;it dicetur in Problematibus.<emph.end type="italics"/></s>

<s id="id.000460"><emph type="italics"/>Cap.

<s id="id.000460"><emph type="italics"/>Cap. 7. Harmoniæ, & Rithmi, vt in præcedenti.<emph.end type="italics"/></s>

7. Harmoniæ, & Rithmi, vt in præcedenti.<emph.end type="italics"/></s>

<s id="id.000461">Ex Problematibus.</s>

<s id="id.000461">Ex Problematibus.</s>

<s id="id.000462"><emph type="italics"/>Sectione 1. num. </s>

<s id="id.000463">3. De ortu &longs;yderum innerrantium: Succulæ, Hypades, Atlantides, <lb/>

<s id="id.000463">3. De ortu &longs;yderum innerrantium: Succulæ, Hypades, Atlantides,

Virgiliæ, Pleiades. </s>

<lb/>Virgiliæ, Pleiades. </s>

<s id="id.000465">17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s>

<s id="id.000465">17. De occa&longs;u affixarum &longs;tellarum.<emph.end type="italics"/></s>

<s id="id.000466"><emph type="italics"/>Sectione 15. num. </s>

<s id="id.000467">1. Diametri ethymon.<emph.end type="italics"/></s>

<s id="id.000467">1. Diametri ethymon.<emph.end type="italics"/></s>

<s id="id.000469">2. Iterum Diametri ethymologia.<emph.end type="italics"/></s>

<s id="id.000469">2. Iterum Diametri ethymologia.<emph.end type="italics"/></s><pb xlink:href="009/01/019.jpg" pagenum="19"/>

<s id="id.000471">3. Denarius numerus cur perfectus. </s>

<s id="id.000472">eius dignitates. </s>

<s id="id.000473">Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s>

<s id="id.000473">Petri Apponen&longs;is deceptio.<emph.end type="italics"/></s>

<s id="id.000474"><emph type="italics"/>4. De inæquali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s>

<s id="id.000474"><emph type="italics"/>4. De inæquali &longs;olis vmbrarum incremento.<emph.end type="italics"/></s>

<s id="id.000475"><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotundæ, quamuis per angulo&longs;a foramina ingre

<lb/>diantur.<emph.end type="italics"/></s>

<s id="id.000475"><emph type="italics"/>5. Cur Solis illuminationes &longs;emper rotundæ, quamuis per angulo&longs;a foramina ingre<lb/>

diantur.<emph.end type="italics"/></s>

<s id="id.000476"><emph type="italics"/>6. Cur Luna &longs;emiplena videtur linea recta terminari? </s>

<s id="id.000477">vbi de illuminatione Lunæ, <lb/>

<s id="id.000477">vbi de illuminatione Lunæ,

quæ experientia docetur.<emph.end type="italics"/></s>

<lb/>quæ experientia docetur.<emph.end type="italics"/></s>

<s id="id.000478"><emph type="italics"/>7. Cur Sol, & Luna videantur plana?<emph.end type="italics"/></s>

<s id="id.000478"><emph type="italics"/>7. Cur Sol, & Luna videantur plana?<emph.end type="italics"/></s>

<s id="id.000479"><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s>

<s id="id.000479"><emph type="italics"/>8. De vmbris Solis orientis, occidentis, meridiantis.<emph.end type="italics"/></s>

<s id="id.000480"><emph type="italics"/>9. Cur Lunæ, quàm Solis minores vmbræ?<emph.end type="italics"/></s>

<s id="id.000480"><emph type="italics"/>9. Cur Lunæ, quàm Solis minores vmbræ?<emph.end type="italics"/></s>

<s id="id.000481"><emph type="italics"/>10. Cur in defectu Solis etiam illuminationes ip&longs;ius defectiuæ &longs;unt? </s>

<s id="id.000482">modus commodè <lb/>

<s id="id.000482">modus commodè

videndi eclyp&longs;im Solis.<emph.end type="italics"/></s>

<lb/>videndi eclyp&longs;im Solis.<emph.end type="italics"/></s>

<s id="id.000484">1. Cur ba&longs;es bullarum in aquis &longs;unt albæ?<emph.end type="italics"/></s>

<s id="id.000484">1. Cur ba&longs;es bullarum in aquis &longs;unt albæ?<emph.end type="italics"/></s>

<s id="id.000485"><emph type="italics"/>3. Opplumbati tali.<emph.end type="italics"/></s>

<s id="id.000485"><emph type="italics"/>3. Opplumbati tali.<emph.end type="italics"/></s>

<s id="id.000486"><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s>

<s id="id.000486"><emph type="italics"/>4. De re&longs;ultu cadentium in terram.<emph.end type="italics"/></s>

<s id="id.000487"><emph type="italics"/>5. Cur conus, & cylindrus diuersè moueantur.<emph.end type="italics"/></s>

<s id="id.000487"><emph type="italics"/>5. Cur conus, & cylindrus diuersè moueantur.<emph.end type="italics"/></s>

<s id="id.000488"><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s>

<s id="id.000488"><emph type="italics"/>6. De voluminum &longs;ectione.<emph.end type="italics"/></s>

<s id="id.000489"><emph type="italics"/>12. Idem cum præcedenti 3.<emph.end type="italics"/></s>

<s id="id.000489"><emph type="italics"/>12. Idem cum præcedenti 3.<emph.end type="italics"/></s>

<s id="id.000490"><emph type="italics"/>13. Idem cum 4 &longs;uperiori. </s>

<s id="id.000491">reflexio radior&ubreve; pulchrè comparatur corpor&ubreve; re&longs;ultationi.<emph.end type="italics"/></s>

<s id="id.000491">reflexio radior&ubreve; pulchrè comparatur corpor&ubreve; re&longs;ultationi.<emph.end type="italics"/></s>

<s id="id.000492">Ex &longs;ectione 19. De Mu&longs;ica.</s>

<s id="id.000492">Ex &longs;ectione 19. De Mu&longs;ica.</s>

<s id="id.000494">2. Lineæ duplæ quadratum quadruplum. </s>

<s id="id.000495">Hoc loco &longs;equentium probl. </s>

<s id="id.000496">cau&longs;a, <lb/>

<s id="id.000496">cau&longs;a,

præmittitur totius Mu&longs;icæ ortus breuis tractatio.<emph.end type="italics"/></s>

<lb/>præmittitur totius Mu&longs;icæ ortus breuis tractatio.<emph.end type="italics"/></s>

<s id="id.000497"><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s>

<s id="id.000497"><emph type="italics"/>3. Vox tam in hypate, quam in nete cantando rumpitur.<emph.end type="italics"/></s>

<s id="id.000498"><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s>

<s id="id.000498"><emph type="italics"/>4. Cur facilius hypate, quam nete canitur?<emph.end type="italics"/></s>

<s id="id.000499"><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s>

<s id="id.000500"><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s>

<s id="id.000499"><emph type="italics"/>5. Cur &longs;uauius notam cantilenam audimus?<emph.end type="italics"/></s>

<s id="id.000501"><emph type="italics"/>8. Cur grauis &longs;onum potest acutæ?<emph.end type="italics"/></s>

<s id="id.000500"><emph type="italics"/>7. Cur veteres hypatem omittebant.<emph.end type="italics"/></s>

<s id="id.000502"><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s>

<s id="id.000503"><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s>

<s id="id.000501"><emph type="italics"/>8. Cur grauis &longs;onum potest acutæ?<emph.end type="italics"/></s>

<s id="id.000504"><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s>

<s id="id.000502"><emph type="italics"/>9. Cur cantus ad tibiam vnam, aut lyram &longs;uauior?<emph.end type="italics"/></s>

<s id="id.000505"><emph type="italics"/>12. Grauior è fidibus contilenam &longs;u&longs;cipit.<emph.end type="italics"/></s>

<s id="id.000506"><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s>

<s id="id.000503"><emph type="italics"/>10. Teretizare, quid.<emph.end type="italics"/></s>

<s id="id.000504"><emph type="italics"/>11. Vox de&longs;inens acutior fit.<emph.end type="italics"/></s>

<s id="id.000505"><emph type="italics"/>12. Grauior è fidibus cantilenam &longs;u&longs;cipit.<emph.end type="italics"/></s>

<s id="id.000506"><emph type="italics"/>13. In Diapa&longs;on graue e&longs;t acuti Antiphonum.<emph.end type="italics"/></s>

<s id="id.000507"><emph type="italics"/>14. Cur Diapa&longs;on vnica vox videtur. </s>

<s id="id.000508">Punicum quid.<emph.end type="italics"/></s>

<s id="id.000508">Punicum quid.<emph.end type="italics"/></s>

<s id="id.000509"><emph type="italics"/>15. Leges Mu&longs;icæ, quæ. </s>

<s id="id.000510">Genera, Diatonicum, Chromaticum, Encharmonium. <lb/>

<s id="id.000510">Genera, Diatonicum, Chromaticum, Encharmonium.

</s>

<s id="id.000511">Tetrachorda quæ.<emph.end type="italics"/></s>

<s id="id.000511">Tetrachorda quæ.<emph.end type="italics"/></s>

<s id="id.000512"><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s>

<s id="id.000512"><emph type="italics"/>16. Antiphonum &longs;uauius est &longs;ymphono, cur.<emph.end type="italics"/></s>

<s id="id.000513"><emph type="italics"/>17. Cur &longs;ola Diapa&longs;on canitur. </s>

<s id="id.000514">Magadis quid. </s>

<s id="id.000515">Magadare.<emph.end type="italics"/></s>

<s id="id.000515">Magadare.<emph.end type="italics"/></s>

<s id="id.000516"><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s>

<s id="id.000516"><emph type="italics"/>18. De Antiphonis.<emph.end type="italics"/></s>

<s id="id.000517"><emph type="italics"/>19. Cur Diapente, & Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s>

<s id="id.000517"><emph type="italics"/>19. Cur Diapente, & Diabe&longs;&longs;acon non canunt in Antiphonis.<emph.end type="italics"/></s>

<s id="id.000518"><emph type="italics"/>20. Me&longs;e &longs;ola di&longs;&longs;onante, totum de&longs;&longs;onat p&longs;alterium.<emph.end type="italics"/></s>

<s id="id.000519"><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s>

<s id="id.000518"><emph type="italics"/>20. Me&longs;e &longs;ola di&longs;&longs;onante, totum de&longs;&longs;onat p&longs;alterium.<emph.end type="italics"/></s>

<s id="id.000520"><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s>

<s id="id.000519"><emph type="italics"/>21. Vocum grauium errores manifestiores, cur?<emph.end type="italics"/></s>

<s id="id.000521"><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s>

<s id="id.000522"><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s>

<s id="id.000520"><emph type="italics"/>23. Cur nete duplo acutior, quam hypate?<emph.end type="italics"/></s>

<s id="id.000521"><emph type="italics"/>24. Nete interpellata, hypate re&longs;onare videtur.<emph.end type="italics"/></s>

<s id="id.000522"><emph type="italics"/>25. Cur Me&longs;e &longs;ic appellata e&longs;t.<emph.end type="italics"/></s>

<s id="id.000523"><emph type="italics"/>27. Cur &longs;ola audibilia mores obtinent. </s>

<s id="id.000524">Rithmus quid.<emph.end type="italics"/></s>

<s id="id.000524">Rithmus quid.<emph.end type="italics"/></s>

<s id="id.000525"><emph type="italics"/>28. Cur cantilenæ quædam leges de cebantur?<emph.end type="italics"/></s>

<s id="id.000525"><emph type="italics"/>28. Cur cantilenæ quædam leges decebantur?<emph.end type="italics"/></s>

<s id="id.000526"><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s><pb xlink:href="009/01/020.jpg" pagenum="20"/>

<s id="id.000526"><emph type="italics"/>30. De Harmonijs, &longs;eu Modis, &longs;eu Tonis pri&longs;corum.<emph.end type="italics"/></s>

<s id="id.000527"><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melopæos.<emph.end type="italics"/></s>

<s id="id.000528"><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s>

<s id="id.000527"><emph type="italics"/>31. Vetustiores fui&longs;&longs;e magis Melopæos.<emph.end type="italics"/></s>

<s id="id.000529"><emph type="italics"/>33. Cur aptè de acuto in graue, non è contra canitur?<emph.end type="italics"/></s>

<s id="id.000530"><emph type="italics"/>34. Cur bi&longs;diapente, aut bi&longs;diate&longs;&longs;aron con&longs;onantia non e&longs;t.<emph.end type="italics"/></s>

<s id="id.000528"><emph type="italics"/>32. De ip&longs;ius Diapa&longs;on ethymo.<emph.end type="italics"/></s>

<s id="id.000531"><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s>

<s id="id.000529"><emph type="italics"/>33. Cur aptè de acuto in graue, non è contra canitur?<emph.end type="italics"/></s>

<s id="id.000532"><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s>

<s id="id.000533"><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s>

<s id="id.000530"><emph type="italics"/>34. Cur bi&longs;diapente, aut bi&longs;diate&longs;&longs;aron con&longs;onantia non e&longs;t.<emph.end type="italics"/></s>

<s id="id.000534"><emph type="italics"/>38. Cur Rythmo, & harmonij omnes gaudent?<emph.end type="italics"/></s>

<s id="id.000531"><emph type="italics"/>35. Cur diapa&longs;on omnium pulcherrima e&longs;t con&longs;onantia?<emph.end type="italics"/></s>

<s id="id.000535"><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s>

<s id="id.000536"><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s>

<s id="id.000532"><emph type="italics"/>36. Me&longs;e &longs;ola di&longs;&longs;onante, tota perit harmonia.<emph.end type="italics"/></s>

<s id="id.000533"><emph type="italics"/>37. Cur difficilius acutum canere, quam graue?<emph.end type="italics"/></s>

<s id="id.000539"><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete

<s id="id.000534"><emph type="italics"/>38. Cur Rythmo, & harmonij omnes gaudent?<emph.end type="italics"/></s>

<s id="id.000540"><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s>

<s id="id.000535"><emph type="italics"/>39. Cur &longs;uauius e&longs;t &longs;ymphonum vni&longs;ono?<emph.end type="italics"/></s>

<s id="id.000541"><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s>

<s id="id.000536"><emph type="italics"/>40. Cur &longs;olam Diapa&longs;on magadari &longs;olent?<emph.end type="italics"/></s>

<s id="id.000544"><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s>

<s id="id.000545"><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>

<s id="id.000539"><emph type="italics"/>43. Idem cum 24. Iugum in lyra veteri quodnam fuerit, vna cum figura vete<lb/>

<s id="id.000546"><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s>

ris lyræ.<emph.end type="italics"/></s>

<s id="id.000547"><emph type="italics"/>51. Dolia duo æqualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on

<lb/>re&longs;onant.<emph.end type="italics"/></s>

<s id="id.000540"><emph type="italics"/>44. Cur &longs;uauius ad tibiam, quam ad lyram cantatur?<emph.end type="italics"/></s>

<s id="id.000548">Ex &longs;ectione 23.</s>

<s id="id.000541"><emph type="italics"/>45. Idem cum 25. &longs;uperiori.<emph.end type="italics"/></s>

<s id="id.000549"><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s>

<s id="id.000550">Ex &longs;ectione 30.</s>

<s id="id.000551"><emph type="italics"/>6. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000552">Ex &longs;ectione 31.</s>

<s id="id.000553"><emph type="italics"/>7. Cur o culos, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla vi, ab inuicem di&longs;&longs;ociari nequimus?<emph.end type="italics"/></s>

<s id="id.000544"><emph type="italics"/>48. Idem cum 7. quid Grauiden&longs;um.<emph.end type="italics"/></s>

<s id="id.000545"><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>

<s id="id.000546"><emph type="italics"/>50. Cur grauior Melodia e&longs;t etiam mollior?<emph.end type="italics"/></s>

<s id="id.000547"><emph type="italics"/>51. Dolia duo æqualia, quorum alterum plenum &longs;it, alterum dimidium, Diapa&longs;on <lb/>

re&longs;onant.<emph.end type="italics"/></s>

<s id="id.000548">Ex &longs;ectione 23.</s>

<s id="id.000549"><emph type="italics"/>De immer&longs;ione Nauigij.<emph.end type="italics"/></s>

<s id="id.000550">Ex &longs;ectione 30.</s>

<s id="id.000551"><emph type="italics"/>6. Omnis triangulus habet tres æquales, &c.<emph.end type="italics"/></s>

<s id="id.000552">Ex &longs;ectione 31.</s>

<s id="id.000553"><emph type="italics"/>7. Cur o culos, <expan abbr="ab&longs;q;">ab&longs;que</expan> vlla vi, ab inuicem di&longs;&longs;ociari nequimus?<emph.end type="italics"/></s>

<s id="id.000554"><emph type="italics"/>Cur duobus oculis res vna tantum videatur. </s>

<s id="id.000555">Cur aliquando rei vi&longs;æ gemina<lb/>

<s id="id.000555">Cur aliquando rei vi&longs;æ gemina

tio accidat.<emph.end type="italics"/></s>

<lb/>tio accidat.<emph.end type="italics"/></s>

<s id="id.000556"><emph type="italics"/>11. Cur di&longs;tractis oculis res vna duæ apparent?<emph.end type="italics"/></s>

<s id="id.000556"><emph type="italics"/>11. Cur di&longs;tractis oculis res vna duæ apparent?<emph.end type="italics"/></s>

<s id="id.000557"><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s>

<s id="id.000557"><emph type="italics"/>17. Oculo in latera contorto, cur non fit geminatio.<emph.end type="italics"/></s>

<s id="id.000558"><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s>

<s id="id.000559">Auctarium De Oculi Pupilla.</s>

<s id="id.000558"><emph type="italics"/>21. Cur &longs;olam rectitudinem vnico oculo in&longs;piciamus.<emph.end type="italics"/></s>

<s id="id.000560"><emph type="italics"/>Oculi fabrica præmittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s>

<s id="id.000559">Auctarium De Oculi Pupilla.</s>

<s id="id.000561"><emph type="italics"/>Primo. </s>

<s id="id.000562">De pupillæ voce.<emph.end type="italics"/></s>

<s id="id.000560"><emph type="italics"/>Oculi fabrica præmittitur, colores oculi vbi &longs;int: vnde qui noctu vident.<emph.end type="italics"/></s>

<s id="id.000563"><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s>

<s id="id.000561"><emph type="italics"/>Primo. </s>

<s id="id.000564"><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s>

<s id="id.000562">De pupillæ voce.<emph.end type="italics"/></s>

<s id="id.000565"><emph type="italics"/>4. Pupillæ definitio.<emph.end type="italics"/></s>

<s id="id.000563"><emph type="italics"/>2. Cur in oculo appareat.<emph.end type="italics"/></s>

<s id="id.000566"><emph type="italics"/>5. Cur mgra in omnibus hominibus.<emph.end type="italics"/></s>

<s id="id.000567"><emph type="italics"/>6. Cur in Sole euane&longs; cat.<emph.end type="italics"/></s>

<s id="id.000564"><emph type="italics"/>3. Cur non in tota cornea.<emph.end type="italics"/></s>

<s id="id.000568"><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s>

<s id="id.000565"><emph type="italics"/>4. Pupillæ definitio.<emph.end type="italics"/></s>

<s id="id.000569"><emph type="italics"/>8. Cur modo maior, modo minor videatur, & cui&longs;dam lepida deceptio.<emph.end type="italics"/></s><pb xlink:href="009/01/021.jpg" pagenum="21"/>

<s id="id.000570">Additamentum de natura Mathematicarum di&longs;ciplinarum.</s>

<s id="id.000566"><emph type="italics"/>5. Cur mgra in omnibus hominibus.<emph.end type="italics"/></s>

<s id="id.000567"><emph type="italics"/>6. Cur in Sole euane&longs; cat.<emph.end type="italics"/></s>

<s id="id.000568"><emph type="italics"/>7. Quantitas ip&longs;ius num videatur?<emph.end type="italics"/></s>

<s id="id.000569"><emph type="italics"/>8. Cur modo maior, modo minor videatur, & cui&longs;dam lepida deceptio.<emph.end type="italics"/></s>

<s id="id.000570">Additamentum de natura Mathematicarum di&longs;ciplinarum.</s>

<s id="id.000571"><emph type="italics"/>Primo. </s>

<s id="id.000572">De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio<lb/>

<s id="id.000572">De &longs;ubiecto Mathem. &longs;eu de materia intelligibili: vbi o&longs;tenduntur definitio

nes Mathematicæ e&longs;&longs;e perfecti&longs;&longs;imæ.<emph.end type="italics"/></s>

<lb/>nes Mathematicæ e&longs;&longs;e perfecti&longs;&longs;imæ.<emph.end type="italics"/></s>

<s id="id.000573">2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s>

<s id="id.000573">2. <emph type="italics"/>Demon&longs;trationes Mathematicas e&longs;&longs;e perfecti&longs;&longs;imas.<emph.end type="italics"/></s>

<s id="id.000574">3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumniæ diluuntur.<emph.end type="italics"/></s>

<s id="id.000574">3. <emph type="italics"/>Obiectiones: <expan abbr="atq;">atque</expan> etiam calumniæ diluuntur.<emph.end type="italics"/></s>

<s id="id.000575">4. <emph type="italics"/>De præstantia cognitionis, quam Geometria, & Arithmetica gignunt.<emph.end type="italics"/></s>

<s id="id.000576">5. <emph type="italics"/>De 4. Mathematicis medijs: A&longs;tronomia, Per&longs;pectiua, Mu&longs;ica, Mechanica.<emph.end type="italics"/></s>

<s id="id.000575">4. <emph type="italics"/>De præstantia cognitionis, quam Geometria, & Arithmetica gignunt.<emph.end type="italics"/></s>

<s id="id.000577">6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/></s>

<s id="id.000576">5. <emph type="italics"/>De 4. Mathematicis medijs: A&longs;tronomia, Per&longs;pectiua, Mu&longs;ica, Mechanica.<emph.end type="italics"/></s>

<s id="id.000578">7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s>

<s id="id.000579"><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s></section><pb xlink:href="009/01/022.jpg" pagenum="22"/><section>

<s id="id.000577">6. <emph type="italics"/>Appendix de re&longs;olutione omnium demonstrationum primi Euclidis.<emph.end type="italics"/></s>

<s id="id.000580"><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s>

<s id="id.000578">7. <emph type="italics"/>Clarorum Mathematicorum Chronicon.<emph.end type="italics"/></s>

<s id="id.000581"><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata,

<lb/>ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe

<lb/>runtur; vt Mathematicarum Profe&longs;&longs;ores habeant,

<s id="id.000579"><emph type="bold"/>Finis Primi Indicis.<emph.end type="bold"/></s>

<lb/>vnde &longs;uas prælectiones aliquando valeant locupletare.<emph.end type="italics"/></s>

</section>

<s id="id.000582"><emph type="italics"/>In Primo Elem.

Euclidis.<emph.end type="italics"/></s>

<s id="id.000580"><emph type="italics"/>ALTER INDEX<emph.end type="italics"/></s>

<s id="id.000583">Ad verbum ip&longs;um <emph type="italics"/>(Elementum Euclidis)<emph.end type="italics"/> vide infra tex. 4. quinti

<lb/>Methaph.</s>

<s id="id.000581"><emph type="italics"/>Quo loca Aristotelis Geometrica, in hoc Opere explicata, <lb/>

ad Euclidem, &longs;ecundum propo&longs;itionum ordinem refe<lb/>

runtur; vt Mathematicarum Profe&longs;&longs;ores habeant, <lb/>

vnde &longs;uas prælectiones aliquando valeant locupletare.<emph.end type="italics"/></s>

<s id="id.000582"><emph type="italics"/>In Primo Elem. Euclidis.<emph.end type="italics"/></s>

<s id="id.000583">Ad verbum ip&longs;um <emph type="italics"/>(Elementum Euclidis)<emph.end type="italics"/> vide infra tex. 4. quinti <lb/>

Methaph.</s>

<s id="id.000584">Ad principia primi elementorum, vide infra tex. 5. pri. Po&longs;ter.</s>

<s id="id.000585">Ad definitionem 10. pri. pro angulo recto, vide 30. quæ&longs;t. </s>

<s id="id.000586">Mecha<lb/>

nic. & cap. 7. lib. 1. Eth.</s>

<s id="id.000586">Mecha

<lb/>nic. & cap.

<s id="id.000587">Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim <lb/>

hoc vno axiomate qu&etail;&longs;tionem <expan abbr="quãdam">quandam</expan> inter Philo&longs;ophos valdè difficilem, <lb/>

7. lib.

facile di&longs;&longs;olui. </s>

<s id="id.000588">ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle<lb/>

1. Eth.</s>

xibile &longs;ucce&longs;&longs;iuè findi, & aperiri po&longs;&longs;it. </s>

<s id="id.000589">qui enim aiunt, &longs;ic refelluntur, quia <lb/>

nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in<lb/>

telligantur enim duæ lineæ, vna in vna &longs;uperficie, altera vero in altera, quæ <lb/>

<s id="id.000587">Ad axioma 10. quamuis Ari&longs;toteles nihil hac de re dicat; &longs;cias tamen velim

antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio <lb/>

<lb/>hoc vno axiomate qu&ecedil;&longs;tionem <expan abbr="quãdam">quandam</expan> inter Philo&longs;ophos valdè difficilem,

non fit in in&longs;tanti, &longs;ed &longs;ucce&longs;&longs;iuè, facta iam aliqua apertionis parte con&longs;i<lb/>

<lb/>facile di&longs;&longs;olui. </s>

derentur prædictæ lineæ, erit igitur earum pars aliqua ab inuicem &longs;epara<lb/>

ta, altera verò adhuc alteri congruens, ergo &longs;equetur, duas lineas habere <lb/>

<s id="id.000588">ea e&longs;t, vtrum marmor, aut adamas, aliudue quidpiam infle

&longs;egmentum commune, quod e&longs;t impo&longs;&longs;ibile, quia contra 10. axioma.</s>

<lb/>xibile &longs;ucce&longs;&longs;iuè findi, & aperiri po&longs;&longs;it. </s>

<s id="id.000589">qui enim aiunt, &longs;ic refelluntur, quia

<lb/>nimirum &longs;equeretur, duas rectas lineas habere &longs;egmentum commune: in

<lb/>telligantur enim duæ lineæ, vna in vna &longs;uperficie, altera vero in altera, quæ

<lb/>antequam incipiat apertio, congruant; Quoniam igitur tota illa apertio

<lb/>non fit in in&longs;tanti, &longs;ed &longs;ucce&longs;&longs;iuè, facta iam aliqua apertionis parte con&longs;i

<lb/>derentur prædictæ lineæ, erit igitur earum pars aliqua ab inuicem &longs;epara

<lb/>ta, altera verò 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>

<s id="id.000590">Ad Calcem axiomatum primi accommodetur tex. 1. primi Po&longs;ter.</s>

<s id="id.000591">Ad primam primi, po&longs;t ip&longs;ius explicationem, commodè declarari pote&longs;t, cur <lb/>

<s id="id.000591">Ad primam primi, po&longs;t ip&longs;ius explicationem, commodè declarari pote&longs;t, cur

Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, & De&longs;igna<lb/>

<lb/>Ari&longs;t. Demon&longs;trationes Geometricas appellet De&longs;criptiones, & De&longs;igna

tiones, vide cap. de Priori, & cap. 24. &longs;ecti primi, libri primi Priorum, & <lb/>

<lb/>tiones, vide cap.

tex. 4. quinti Methaph. & tex. 20. &longs;exti Methaph. & cap. 3. lib. 3. Ethic. <lb/>

</s>

de Priori, & cap.

24. &longs;ecti primi, libri primi Priorum, &

<lb/>tex. 4. quinti Methaph. & tex. 20. &longs;exti Methaph. & cap.

3. lib.

3. Ethic.

<s id="id.000592">Item ad primam primi, vide tex. 7. &longs;ecundi Po&longs;ter. loco 2.</s>

<s id="id.000593">Ad 5. primi, vide cap. 24. &longs;ecti 1 lib. 1. Priorum.</s>

<s id="id.000593">Ad 5. primi, vide cap.

24. &longs;ecti 1 lib.

1. Priorum.</s>

<s id="id.000594">Ad 21. primi, vide tex. 20. primi Po&longs;ter. loco 2.</s>

<s id="id.000595">Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s>

<s id="id.000595">Ad 22. primi, vide locum 10. de lineis in&longs;ecabilibus.</s>

<s id="id.000596">Ad 28. primi, vide cap. 21. & cap. 22. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, & tex. 13. primi Po&longs;ter.</s>

<s id="id.000596">Ad 28. primi, vide cap.

<s id="id.000597">Ad 32. primi, vide cap. 1. &longs;ecti 3. lib. 1. Prior. & cap. 26. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, & tex. 2. <lb/>

21. & cap.

primi Po&longs;ter. loco 4. & tex. 23. primi Po&longs;ter. vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam <lb/>

<expan abbr="demõ&longs;trationem">demon&longs;trationem</expan>. </s>

22. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, & tex. 13. primi Po&longs;ter.</s>

<s id="id.000597">Ad 32. primi, vide cap.

1. &longs;ecti 3. lib.

1. Prior. & cap.

26. &longs;ecundi <expan abbr="Prior&utilde;">Priorum</expan>, & tex. 2.

<lb/>primi Po&longs;ter. loco 4. & tex. 23. primi Po&longs;ter. vbi ait hanc e&longs;&longs;e poti&longs;&longs;imam

<lb/><expan abbr="demõ&longs;trationem">demon&longs;trationem</expan>. </s>

<s id="id.000598">& tex. 37. primi Po&longs;ter. & tex. 39. primi Po&longs;ter. </s>

<s id="id.000599">Ibidem <lb/>

loco 4. & tex. 43. primi Po&longs;ter. & tex. 2. &longs;ecundi Po&longs;ter. bis. </s>

<s id="id.000600">& tex. 89. &longs;e<lb/>

cundi Phy&longs;. & tex. 15. octaui Phy&longs;. & tex. 119. primi de C&oelig;lo. </s>

&longs;ecundi de C&oelig;lo. </s>

<s id="id.000602">tex 11. primi de Anima. & cap. 1. de mem. </s>

<s id="id.000603">& remini&longs;c. <lb/>

</s>

<s id="id.000604">& tex. 35. quinti Methaphy&longs;. & tex. 20. &longs;exti Methaphy&longs;. & tex. 22. &longs;exti <lb/>

Methaphy&longs;. & cap. 4. lib. 2. de Generat. animal. </s>

<s id="id.000605">& cap. 5. lib. 6. Ethic. & <lb/>

cap. 2. Magnorum Moral. & cap. 10. Mag. Moral. & cap. 16. Mag. Moral. <lb/>

& cap. 7. &longs;ecundi Eudem. & cap. 12. &longs;ecundi Eudem. & problema 6. &longs;ectio

<pb pagenum="23" xlink:href="http://archimedes.fas.harvard.edu/images/009-01-pageimg/009.01.023.jpg"/>nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica hæc Euclidis Demon&longs;tratio.</s>

<s id="id.000599">Ibidem

<s id="id.000606">Ad &longs;cholion præcedentis 32. primi, vide tex. 39. primi Po&longs;ter. loco 3. Item <lb/>

<lb/>loco 4. & tex. 43. primi Po&longs;ter. & tex. 2. &longs;ecundi Po&longs;ter. bis. </s>

tex. 25. &longs;ecundi Po&longs;ter. loco vlt.</s>

<s id="id.000607">Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s>

<s id="id.000608">Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s>

<s id="id.000600">& tex. 89. &longs;e

<lb/>cundi Phy&longs;. & tex. 15. octaui Phy&longs;. & tex. 119. primi de C&oelig;lo. </s>

<s id="id.000601">& tex. 25.

<lb/>&longs;ecundi de C&oelig;lo. </s>

<s id="id.000602">tex 11. primi de Anima. & cap.

1. de mem. </s>

<s id="id.000603">& remini&longs;c.

<s id="id.000604">& tex. 35. quinti Methaphy&longs;. & tex. 20. &longs;exti Methaphy&longs;. & tex. 22. &longs;exti

<lb/>Methaphy&longs;. & cap.

4. lib.

2. de Generat. animal. </s>

<s id="id.000605">& cap.

5. lib.

6. Ethic. &

<lb/>cap.

2. Magnorum Moral. & cap.

10. Mag. Moral. & cap. 16. Mag. Moral.

<lb/>& cap. 7. &longs;ecundi Eudem. & cap. 12. &longs;ecundi Eudem. & problema 6. &longs;ectio<pb xlink:href="009/01/023.jpg" pagenum="23"/>nis 30. tot Ari&longs;totelis loca illu&longs;trat vnica hæc Euclidis Demon&longs;tratio.</s>

<s id="id.000606">Ad &longs;cholion præcedentis 32. primi, vide tex. 39. primi Po&longs;ter. loco 3. Item

<lb/>tex. 25. &longs;ecundi Po&longs;ter. loco vlt.</s>

<s id="id.000607">Ad 45. primi, vide locum 9. de lineis in&longs;ecabilibus.</s>

<s id="id.000608">Ad 46. primi, vide locum 11. de lineis in&longs;ecabilibus.</s>

<s id="id.000609">Ad 47. primi, vide locum 11. de lineis in&longs;ecab. </s>

<s id="id.000610">Item locum 14. de ij&longs;dem.</s>

<s id="id.000610">Item locum 14. de ij&longs;dem.</s>

<s id="id.000611"><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/></s>

<s id="id.000611"><emph type="italics"/>In &longs;ecundo Elem.<emph.end type="italics"/></s>

<s id="id.000612">Ad 2. definitionem 2. Gnomonis, vide cap.

<s id="id.000612">Ad 2. definitionem 2. Gnomonis, vide cap. de Motu in Po&longs;tprædicam. </s>

de Motu in Po&longs;tprædicam. </s>

dratum augetur Gnomone circumpo&longs;ito.</s>

<s id="id.000613">Qua

<lb/>dratum augetur Gnomone circumpo&longs;ito.</s>

<s id="id.000614">Ad 14. propo&longs;. </s>

<s id="id.000615">2. opportunum e&longs;t Auditores de Quadratura circuli erudire, <lb/>

<s id="id.000615">2. opportunum e&longs;t Auditores de Quadratura circuli erudire,

vide igitur cap. de relatione in prædicam. </s>

<lb/>vide igitur cap.

<s id="id.000616">& cap. 31. &longs;ecundi Priorum, & <lb/>

tex. 23. primi Po&longs;ter. & finem 1. cap. primi Elenchorum. </s>

de relatione in prædicam. </s>

<s id="id.000617">lege primam Ar<lb/>

chimedis de dimen&longs;ione circuli.</s>

<s id="id.000616">& cap.

31. &longs;ecundi Priorum, &

<s id="id.000618"><emph type="italics"/>In tertio Elem.<emph.end type="italics"/></s>

<lb/>tex. 23. primi Po&longs;ter. & finem 1. cap. primi Elenchorum. </s>

<s id="id.000619">Ad primam 3. vide cap. 9. lib. 2. Ethycorum.</s>

<s id="id.000617">lege primam Ar

<lb/>chimedis de dimen&longs;ione circuli.</s>

<s id="id.000620">Ad 2. tertij, vide tex. 13. lib. 1. de Anima. & locum 16. de lineis in&longs;ecab.</s>

<s id="id.000618"><emph type="italics"/>In tertio Elem.<emph.end type="italics"/></s>

<s id="id.000619">Ad primam 3. vide cap.

9. lib.

2. Ethycorum.</s>

<s id="id.000620">Ad 2. tertij, vide tex. 13. lib.

1. de Anima. & locum 16. de lineis in&longs;ecab.</s>

<s id="id.000621">Ad 31. tertij, vide tex. 11. &longs;ecundi Po&longs;ter. & tex. 20. &longs;exti Methaph. loco 2.</s>

<s id="id.000622"><emph type="italics"/>In quarto.<emph.end type="italics"/></s>

<s id="id.000623">Ad commentarium P. Clauij extremum lib. 4. elementorum. </s>

<s id="id.000622"><emph type="italics"/>In quarto.<emph.end type="italics"/></s>

tertij de C&oelig;lo.</s>

<s id="id.000623">Ad commentarium P. Clauij extremum lib.

<s id="id.000625"><emph type="italics"/>In quinto.<emph.end type="italics"/></s>

4. elementorum. </s>

<s id="id.000626">Ad 4. definitionem 5. vide cap. 3. lib. 2. Ethyc.</s>

<s id="id.000624">lege tex. 66.

<lb/>tertij de C&oelig;lo.</s>

<s id="id.000627">Ad 9. definitionem 5. vide cap. 3. lib. 5. Ethyc. loco 4. & cap. 31. primi Ma<lb/>

gnorum Moralium.</s>

<s id="id.000625"><emph type="italics"/>In quinto.<emph.end type="italics"/></s>

<s id="id.000626">Ad 4. definitionem 5. vide cap.

3. lib.

2. Ethyc.</s>

<s id="id.000627">Ad 9. definitionem 5. vide cap.

3. lib.

5. Ethyc. loco 4. & cap. 31. primi Ma

<lb/>gnorum Moralium.</s>

<s id="id.000628">Ad 10. definitionem 5. vide tex. 29. primi Po&longs;ter. loco 2.</s>

<s id="id.000629">Ad 12. definitionem 5. vide tex. 13. primi Po&longs;ter. loco 3. & tex. 25. &longs;ecundi <lb/>

<s id="id.000629">Ad 12. definitionem 5. vide tex. 13. primi Po&longs;ter. loco 3. & tex. 25. &longs;ecundi

Po&longs;ter. & tex. 32. tertij de Anima. & cap. 3. lib. 5. Ethyc. loco 4.</s>

<lb/>Po&longs;ter. & tex. 32. tertij de Anima. & cap.

3. lib.

5. Ethyc. loco 4.</s>

<s id="id.000630">Ad 16. propo&longs;. </s>

<s id="id.000631">5. vide tex. 25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon<lb/>

<s id="id.000631">5. vide tex. 25. &longs;ecundi Po&longs;ter. loco 2. ex hac Euclidis demon

&longs;tratione patet, vitio&longs;am e&longs;&longs;e illam Auerrois argumentationem, 8. Phy&longs;. <lb/>

<lb/>&longs;tratione patet, vitio&longs;am e&longs;&longs;e illam Auerrois argumentationem, 8. Phy&longs;.

comm. 15. &longs;cilicet.</s>

<lb/>comm. 15. &longs;cilicet.</s>

<s id="id.000632">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 id="id.000633">Quemadmodum voluntas noua ad effectum antiquum.</s>

<s id="id.000632">Vt &longs;e habet voluntas antiqua ad antiquum effectum,

<lb/>Ita &longs;e habet etiam voluntas noua ad effectum nouum:

<s id="id.000634">Non enim in permutando confert antecedentem ad antecedentem, & con<lb/>

<lb/>Ergo permutando, ita &longs;e habebit voluntas antiqua ad effectum nouum.

&longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad <lb/>

con&longs;equentem, quod non licet.</s>

<s id="id.000633">Quemadmodum voluntas noua ad effectum antiquum.</s>

<s id="id.000635"><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s>

<s id="id.000634">Non enim in permutando confert antecedentem ad antecedentem, & con

<lb/>&longs;equentem ad con&longs;equentem, vt par erat, &longs;ed confert antecedentem ad

<lb/>con&longs;equentem, quod non licet.</s>

<s id="id.000635"><emph type="italics"/>In &longs;exto.<emph.end type="italics"/></s>

<s id="id.000636">Ad 2. propo&longs;it. </s>

<s id="id.000637">6. vide cap. 2. lib. 8. Topicorum loco 41.</s>

<s id="id.000637">6. vide cap.

2. lib.

8. Topicorum loco 41.</s>

<s id="id.000638">Ad 13. &longs;exti, vide tex. 12. &longs;ecundi de Anima, & tex. 3. tertij Methaphy&longs;.<emph type="italics"/>In &longs;eptimo.<emph.end type="italics"/></s>

<s id="id.000639">Ad primam definitionem 7. vide tex. 5. primi Po&longs;ter.</s>

<s id="id.000640">Ad 8. definitionem 7. vide cap. 1. lib. 1. Magnorum Moral.</s>

<s id="id.000640">Ad 8. definitionem 7. vide cap.

1. lib.

<s id="id.000641"><emph type="italics"/>In octauo.<emph.end type="italics"/></s>

1. Magnorum Moral.</s>

<s id="id.000641"><emph type="italics"/>In octauo.<emph.end type="italics"/></s>

<s id="id.000642">Ad 4. propo&longs;. </s>

<s id="id.000643">9. vide tex. 20. primi Po&longs;ter. loco 2.</s>

<s id="id.000644">Ad 8. propo&longs;. </s>

<s id="id.000645">9. vide problem. </s>

<s id="id.000646">3. &longs;ectionis 15. loco 4.</s>

<s id="id.000646">3. &longs;ectionis 15. loco 4.</s><pb xlink:href="009/01/024.jpg" pagenum="24"/>

<s id="id.000647"><emph type="italics"/>In decimo.<emph.end type="italics"/></s>

<s id="id.000647"><emph type="italics"/>In decimo.<emph.end type="italics"/></s>

<s id="id.000648">Ad primam definitionem 10. vide cap.

23. &longs;ecti 1. primi Priorum. </s>

<s id="id.000648">Ad primam definitionem 10. vide cap. 23. &longs;ecti 1. primi Priorum. </s>

<s id="id.000649">& tex. 48.

primi de C&oelig;lo.</s>

<lb/>primi de C&oelig;lo.</s>

<s id="id.000650">Ad 118. decimi, vide cap. 23. &longs;ecti 1. libri 1. Priorum. </s>

<s id="id.000651">& &longs;ecto 2. cap. 23. li<lb/>

<s id="id.000650">Ad 118. decimi, vide cap.

bri 1. Priorum. </s>

<s id="id.000652">& cap. 22. lib. 2. Priorum. </s>

23. &longs;ecti 1. libri 1. Priorum. </s>

<s id="id.000653">& tex. 5. primi Po&longs;ter. & tex. 44. <lb/>

primi Po&longs;ter. & cap. 15. primi Po&longs;ter. & tex. 119. primi de C&oelig;lo. </s>

<s id="id.000651">& &longs;ecto 2. cap.

120. quarti Phy&longs;. & tex. 21. tertij de Anima. & cap. 1. primi Methaphy&longs;. <lb/>

23. li

& tex. 28. quarti Met. & tex. 34. quinti Met. & tex. 8. &longs;exti Met. & cap. 4. <lb/>

<lb/>bri 1. Priorum. </s>

lib. 2. de Generat. animal. </s>

<s id="id.000655">& lib. 3. cap. 3. Ethyc. & cap. 10. &longs;ecundi Eu<lb/>

<s id="id.000652">& cap. 22. lib.

dem. </s>

<s id="id.000656">tot Ari&longs;t. loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s>

2. Priorum. </s>

<s id="id.000653">& tex. 5. primi Po&longs;ter. & tex. 44.

<s id="id.000657"><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s>

<lb/>primi Po&longs;ter. & cap.

15. primi Po&longs;ter. & tex. 119. primi de C&oelig;lo. </s>

<s id="id.000654">& tex.

<lb/>120. quarti Phy&longs;. & tex. 21. tertij de Anima. & cap.

1. primi Methaphy&longs;.

<lb/>& tex. 28. quarti Met. & tex. 34. quinti Met. & tex. 8. &longs;exti Met. & cap.

<lb/>lib.

2. de Generat. animal. </s>

<s id="id.000655">& lib.

3. cap.

3. Ethyc. & cap. 10. &longs;ecundi Eu

<s id="id.000656">tot Ari&longs;t.

loca ab hac vna Euclidis Demon&longs;tratione illu&longs;trantur.</s>

<s id="id.000657"><emph type="italics"/>In decimotertio.<emph.end type="italics"/></s>

<s id="id.000658">Ad primam propo&longs;. </s>

<s id="id.000659">13. &longs;ecundum editionem Commandini, aut Zamberti. <lb/>

<s id="id.000659">13. &longs;ecundum editionem Commandini, aut Zamberti.

</s>

<s id="id.000660">vide initio Priorum, in verbum (Re&longs;olutio)</s>

<s id="id.000660">vide initio Priorum, in verbum (Re&longs;olutio)</s>

<s id="id.000661">Atqne hæc &longs;unt, quæ ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit, <lb/>

<s id="id.000661">Atqne hæc &longs;unt, quæ ex Elementorum opere Ari&longs;toteles pa&longs;&longs;im v&longs;urpauit,

quæque nos infra explicabimus.</s>

<lb/>quæque nos infra explicabimus.</s>

<s id="id.000662"><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s>

<s id="id.000662"><emph type="bold"/>Finis Secundi Indicis.<emph.end type="bold"/></s>

<s id="id.000663">Quæ verò ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe

<lb/>ctiuam, Mechanicam, & A&longs;tronomiam pertinens, facilè

<s id="id.000663">Quæ verò ad alias Mathematicas, Mu&longs;icam &longs;cilicet, Per&longs;pe<lb/>

<lb/>poterunt ex primo Indice ad vnamquamque earum &longs;eor

ctiuam, Mechanicam, & A&longs;tronomiam pertinens, facilè <lb/>

<lb/>&longs;um cum libuerit, &longs;ecerni.</s></section><pb xlink:href="009/01/025.jpg" pagenum="25"/><section>

poterunt ex primo Indice ad vnamquamque earum &longs;eor<lb/>

&longs;um cum libuerit, &longs;ecerni.</s>

<s id="id.000664"><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s>

</section>

<s id="id.000665"><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/>

<lb/><arrow.to.target n="table2"/></s><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, quæ.<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, & æquitas &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 variè con&longs;ideratur à Geometra, & à 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"/>Antennæ nauis problema.<emph.end type="italics"/></cell><cell>248</cell></row><row><cell><emph type="italics"/>Antipbonæ 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, quæ.<emph.end type="italics"/></cell><cell>279</cell></row><row><cell><emph type="italics"/>Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam 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"/>Astronomiæ principia duo, Apparentia, & Ob&longs;eruatio.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Automata, quæ.<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, & cur non faciat vmbram.<emph.end type="italics"/></cell><cell>351</cell></row><row><cell><emph type="italics"/>Binomium linea, quæ.<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 mathematicè o&longs;tenditur. 123. Cen-trum grauitatis, & 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"/>Coalternæ lineæ, quæ.<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 mathematicè. 129. in additione.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Con&longs;onantia, quid. 64. quibus numeris con&longs;onantiæ con&longs;tent.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Conus, & cylindrus, cur variè mouentur.<emph.end type="italics"/></cell><cell>355</cell></row><pb xlink:href="009/01/026.jpg" 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, & 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 mathematicæ e&longs;&longs;e e&longs;&longs;entiales, & 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, & 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 perfectæ exemplum. 36. demon&longs;trationum mathematicarum præ-&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"/>&c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Diameter incommen&longs;urabilis costæ. 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, quæ.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Diate&longs;&longs;aron con&longs;onantia, quæ.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Di&longs;d apa&longs;on con&longs;onantia, quæ.<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, quæ.<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, & 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> æquales quatuor rectis angulis, quæ e&longs;t mira proprietas.<emph.end type="italics"/></cell><cell>59</cell></row><row><cell><emph type="italics"/>Figuræ &longs;imiles, quæ.<emph.end type="italics"/></cell><cell>70</cell></row><row><cell><emph type="italics"/>Figurarum planarum ordo 88. quæ nam totum locum repleant.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Figurarum &longs;olidarum, quænam totum locum repleant: vbi Ari&longs;t. & omnium expo&longs;i-torum rratum aperitur.<emph.end type="italics"/></cell><cell>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, & 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;icæ veteris. 78. Fusè explicantur.<emph.end type="italics"/></cell><cell>371</cell></row><row><cell><emph type="italics"/>Geodæ&longs;ia.<emph.end type="italics"/></cell><cell>207</cell></row><row><cell><emph type="italics"/>Geographiæ veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell><cell>149</cell></row><pb xlink:href="009/01/027.jpg" pagenum="27"/><row><cell><emph type="italics"/>Gnomon, quid. 3. &<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, eiqué 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 lunulæ optima.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Hyades, Atlantides, & Succulæ.<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 defectiuæ.<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"/>& <expan abbr="&longs;eqq.">&longs;eqque</expan><emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Incommen&longs;urabilia, quæ, & 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. & &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, & 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 quæ&longs;t.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Linea, quæ 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"/>Lineæ rationales, & irrationales, &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;phærica. 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;phæricam. 48. illuminari &longs;phæricè quid: ibidem & de illuminatione Lu-næ. iterum e&longs;&longs;e &longs;phæricam ab eclyp&longs;ibus.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Luminarium Solis, & Lunæ 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"/>Lyræ 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, & magadi&longs;&longs;are.<emph.end type="italics"/> 373.</cell><cell>393</cell></row><row><cell><emph type="italics"/>Materia intelligibilis. fusè verò. explicatur in tract. de nat. Mathem.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mathematicæ mediæ, &longs;eu &longs;ubalternatæ 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"/>Mathematicæ non &longs;unt contentio&longs;æ. 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"/>Mathematicæ o&longs;tendunt per cau&longs;am materialem, & formalem. 205. earum vtilitas. ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell><cell/></row>

<pb xlink:href="009/01/028.jpg" pagenum="28"/><row><cell><emph type="italics"/>Mathematicæ maximè tractant de Bono, & Pulcro, qua ratione.<emph.end type="italics"/></cell><cell>237</cell></row><row><cell><emph type="italics"/>Mechanica facultas, quæ.<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, & 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, &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. & in fine Chronologiæ.<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Mu&longs;icæ totius elementa.<emph.end type="italics"/></cell><cell>359</cell></row><row><cell><emph type="italics"/>Mu&longs;ica nuda, & 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, & compo&longs;itus, quadratus, &longs;eu æquilaterus, 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 verò 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"/>&c.<emph.end type="italics"/></cell></row><row><cell><emph type="italics"/>Omophonæ 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, & occa&longs;us &longs;yderum, quid, & quotuplex: vbide Orione, & 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 quæ voces, aut chordæ.<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"/>Planetæ, 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 xlink:href="009/01/029.jpg" pagenum="29"/><row><cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, & 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 Cæneum.<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, & 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 à 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"/>Pupillæ oculi etymon., & natura. 408. cur in oculo no&longs;tro imago pupillæ 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="operã">operam</expan> dedere, easqué ceteris &longs;cientijs præponeb&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, & quadraturæ duplex definitio cau&longs;alis, & 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, & mathematica, vt conueniant. 4. &<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 fusè 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, & eius figura 250. &<emph.end type="italics"/></cell><cell>252</cell></row><row><cell><emph type="italics"/>Securis problema, vbi de antiquæ &longs;euris figura, & angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell><cell>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"/>Sphæram planum tangit in puncto. demon&longs;tratur.<emph.end type="italics"/></cell><cell>184</cell></row><row><cell><emph type="italics"/>Statera antiqua, quæ: eius figura, & problema.<emph.end type="italics"/></cell><cell>259</cell></row><row><cell><emph type="italics"/>Stereomatria, vt differat à 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"/>Symphonæ 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"/>Terræ quantitas.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Terram paulatim reduci ad pefféctam 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 xlink:href="009/01/030.jpg" 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"/>Trochleæ problemata.<emph.end type="italics"/> 249. 250.</cell><cell>251</cell></row><row><cell><emph type="italics"/>Tunicæ 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, & &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, & 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"/>Virgiliæ, Pleiades.<emph.end type="italics"/></cell><cell>335</cell></row><row><cell><emph type="italics"/>Vi&longs;æ res gemmantur di&longs;tractis oculis.<emph.end type="italics"/></cell><cell>406</cell></row><row><cell><emph type="italics"/>Vi&longs;æ 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 terræ parum &longs;upra Lunam tran&longs;cendere.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Vmbrarum incrementa, & decrementa, cur inæqualia.<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 antiquæ appellationes.<emph.end type="italics"/></cell><cell>360</cell></row><row><cell><emph type="italics"/>Vox acuta velocior, grauis verò 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 terræ, vt Arist. de&longs;ignet: & quæ &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><s id="id.000666">Finis Tertij Indicis.</s><pb xlink:href="009/01/031.jpg" pagenum="31"/>

</section><section>

<s id="id.000664"><emph type="italics"/>TERTIVS INDEX ALPHABETICVS,<emph.end type="italics"/></s>

<s id="id.000667">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

<s id="id.000665"><emph type="italics"/>cuius numeri re&longs;pondent numeris marginalibus Operis.<emph.end type="italics"/><lb/>

<lb/>thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&ecedil;&longs;ertim Peripa

<arrow.to.target n="table2"/></s>

<lb/>tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre

<lb/>po&longs;&longs;int.

<table>

<lb/><arrow.to.target n="table3"/></s><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. & 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, & Indum oriri ex monte Paropami&longs;&longs;o. & 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 à 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, & 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, à Nonio erroris manifestè 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 benè videtur a&longs;signare cau&longs;am variæ im-mer&longs;ionis nauigij.<emph.end type="italics"/></cell></row></table><pb xlink:href="009/01/032.jpg" /></section></front><body><chap> <pb xlink:href="009/01/033.jpg" pagenum="33"/>

<table.target id="table2"/>

<row>

<s id="id.000668">LOCA

<lb/>MATHEMATICA

<cell/>

<lb/>EX LIBRO

</row>

<lb/>PRÆDICAMENTORVM

<row>

<lb/>Per ordinem declarata.</s>

<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>

</row>

<row>

<cell><emph type="italics"/>Aequalitas mathematica, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ae&longs;tus maris natura.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Aequitas arithmetica, & æquitas &longs;ecundum dignitatem.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Agathir&longs;i populi.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Angulus rectus variè con&longs;ideratur à Geometra, & à Fabro.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Antiphontis quadratura circuli.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Antennæ nauis problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Antipbonæ voces.<emph.end type="italics"/> 358. 363. 370. 371.</cell>

</row>

<row>

<cell><emph type="italics"/>Apum mirabilis indu&longs;tria.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Apotome linea, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Aquæ &longs;uperficiem e&longs;&longs;e &longs;phæricam ratione mathematica.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Arithmetica proportio.<emph.end type="italics"/></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>

</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"/>Astronomiæ principia duo, Apparentia, & Ob&longs;eruatio.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Automata, quæ.<emph.end type="italics"/> 199. 298.</cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Ba&longs;is ballarum in aqua, cur &longs;it alba, & cur non faciat vmbram.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Binomium linea, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Bra&longs;ilien&longs;es, qua ratione numer are &longs;oliti.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Bry&longs;onis quadratura circuli.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Calippi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Cantilenam notam &longs;uauius, quam ignotam audimus.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Centrum circuli reperire. 303. Centrum mundi mathematicè o&longs;tenditur. 123. Cen-trum grauitatis, & molis.<emph.end type="italics"/> 38.</cell>

</row>

<row>

<cell><emph type="italics"/>Chordarum veterum nomina.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Coalternæ lineæ, quæ.<emph.end type="italics"/> 12. 14.</cell>

</row>

<row>

<cell><emph type="italics"/>C&oelig;lorum ordinem petendum ex A&longs;tronomis 109. item numerum<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Colores in mu&longs;ica 78. Colores oculorum vnde.<emph.end type="italics"/></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 mathematicè. 129. in additione.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Con&longs;onantia, quid. 64. quibus numeris con&longs;onantiæ con&longs;tent.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Conus, & cylindrus, cur variè mouentur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Cubus numerus. duo cubi cubus, quid &longs;ignificet.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Curru problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Cunei problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Cylindri, & coni motus comparatio problematica.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Definitiones mathematicæ e&longs;&longs;e e&longs;&longs;entiales, & perfe&longs;&longs;imas. cap. 1. de nat. Math. definitionum v&longs;us in Mathematicis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>De&longs;criptio, & de&longs;cribere, quid.<emph.end type="italics"/> 2. 6. 7.</cell>

</row>

<row>

<cell><emph type="italics"/>De&longs;ignatio pro demon&longs;tratione mathematica.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Demon&longs;trationis perfectæ exemplum. 36. demon&longs;trationum mathematicarum præ-&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>

</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>

</row>

<row>

<cell><emph type="italics"/>Diameter incommen&longs;urabilis costæ. 5. diametri etymon.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Diapa&longs;on quid. 90. 350. omnium con&longs;onantiarum pulcberrima.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Diapa&longs;on diapente.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Diapente con&longs;onantia, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Diate&longs;&longs;aron con&longs;onantia, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Di&longs;d apa&longs;on con&longs;onantia, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Die&longs;is, quid.<emph.end type="italics"/> 53.</cell>

</row>

<row>

<cell><emph type="italics"/>Dolia duo, quomodo aliquando Diapa&longs;on re&longs;onent.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Duplum inter multiplicia primum e&longs;t.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Elementa mundi non componi ex figuris geometricis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Elementa geometrica, quæ.<emph.end type="italics"/> 82.</cell>

</row>

<row>

<cell><emph type="italics"/>Eudoxi opinio de numero C&oelig;lorum.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Exempla mathematicorum, qualia. 11. non e&longs;&longs;e fal&longs;a.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Exemplorum veritas, & conformitas, quatenus requirantur.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Figuram omnem planam habere &longs;uos angulos externos <expan abbr="quotc&ubreve;q;">quotc&ubreve;que</expan> æquales quatuor rectis angulis, quæ e&longs;t mira proprietas.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Figuræ &longs;imiles, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Figurarum planarum ordo 88. quæ nam totum locum repleant.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Figurarum &longs;olidarum, quænam totum locum repleant: vbi Ari&longs;t. & omnium expo&longs;i-torum rratum aperitur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Figuratio lucis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Figurationes pro demonftrationibus Mathem.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Filum Araneorum, ex qua parte corporis exeat, & ex qua materia.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Fluxus, ac refluxus maris.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Funium lectorum problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Galaxia quid. 131. Ari&longs;toteles defen&longs;us.<emph.end type="italics"/> 132.</cell>

</row>

<row>

<cell><emph type="italics"/>Galibei recens ob&longs;eruatio.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Generatria Mu&longs;icæ veteris. 78. Fusè explicantur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Geodæ&longs;ia.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Geographiæ veteris plura errata,<emph.end type="italics"/> 145. 146. 147. 148.</cell>

</row>

<row>

<cell><emph type="italics"/>Gnomon, quid. 3. &<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Gnomones numeri.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Graue qua ratione ad centrum mundi de&longs;cenderet, eiqué aptaretur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Grauiden&longs;um, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Halonis demonfiratio.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Hippocratis chij quadratura circuli. 17. <expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> quadratura lunulæ optima.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Hyades, Atlantides, & Succulæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Hypate, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Hypotenu&longs;a in ince&longs;&longs;u animalium.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Illuminationes Solis deficientis per foramina tran&longs;euntes, eur &longs;int defectiuæ.<emph.end type="italics"/></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"/>& <expan abbr="&longs;eqq.">&longs;eqque</expan><emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Incommen&longs;urabilia, quæ, & eorum inuentores.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Infinito, qua ratione vtantur Mathematici.<emph.end type="italics"/> 94.</cell>

</row>

<row>

<cell><emph type="italics"/>Iridis demon&longs;tratio &longs;ecundum Ari&longs;t. 163. & &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, & eius figura.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Leges mu&longs;icales.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Libra maior, cur exactior. initio Mechanicarum quæ&longs;t.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Linea, quæ terminus est illuminationis in Luna, cur modo recta, modo curua vi-deatur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Lineæ rationales, & irrationales, &c.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Luna plana, cur appareat, cum &longs;it &longs;phærica. 347. cur in eadem altitudine cum Sole &longs;upra horizontem, maiorem vmbram efficiat.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Lunam e&longs;&longs;e &longs;phæricam. 48. illuminari &longs;phæricè quid: ibidem & de illuminatione Lu-næ. iterum e&longs;&longs;e &longs;phæricam ab eclyp&longs;ibus.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Luminarium Solis, & Lunæ ordo.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Lychanos, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Lyræ veteris figura.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Magalis, &longs;eu magas, & magadi&longs;&longs;are.<emph.end type="italics"/> 373.</cell>

</row>

<row>

<cell><emph type="italics"/>Materia intelligibilis. fusè verò. explicatur in tract. de nat. Mathem.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Mathematicæ mediæ, &longs;eu &longs;ubalternatæ habent propter quid &longs;uarum demon&longs;iratio-nem.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mathematici negant reperiri quantitatem indiui&longs;ibilem, &longs;eu minimam.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mathematicæ non &longs;unt contentio&longs;æ. 83. ostendunt per cau&longs;am formalcm.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mathematicas inuenerunt Aegyptij Sacerdotes.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mathematicæ o&longs;tendunt per cau&longs;am materialem, & formalem. 205. earum vtilitas. ibidem. De earum natura. in proprio tractatu.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Mathematicæ maximè tractant de Bono, & Pulcro, qua ratione.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mechanica facultas, quæ.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Melodia.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Melopeia quid.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Mina in men&longs;uris quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Monochordium.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Motus nauigij, & 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>

</row>

<row>

<cell><emph type="italics"/>Modorum antiquorum ordo, numerus, &c.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Mu&longs;ici recentiores reprehen&longs;i. 331. & in fine Chronologiæ.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Mu&longs;icæ totius elementa.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Mu&longs;ica nuda, & cum melodia.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

</row>

<row>

<cell><emph type="italics"/>Nucifragi in&longs;trumenti problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Numerus, par, impar, primus, & compo&longs;itus, quadratus, &longs;eu æquilaterus, altera parte longior. 24. Cubus num.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Numeri capitales, qui.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Numerum parem e&longs;&longs;e cau&longs;am infiniti: imparem verò finiti.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Numerorum parium alij &longs;unt primi, alij non.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Numerus vnitarius.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Oculi cur moueantur con&longs;imiliter.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Oculi anathome.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Omophonæ voces.<emph.end type="italics"/> 372.</cell>

</row>

<row>

<cell><emph type="italics"/>Oppo&longs;itio diametralis e&longs;t omnium maxima.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ortus, & occa&longs;us &longs;yderum, quid, & quotuplex: vbide Orione, & Canicula.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Paranete quæ voces, aut chordæ.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Parna&longs;&longs;us mons, vbinam &longs;it. Item paropame&longs;&longs;us.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Partes quantitatis &longs;unt materia illius.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Per&longs;pectiuus, quatenus con&longs;ideret lineam.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Pa&longs;&longs;iones Mathematicorum cum &longs;ubiecto conuertuntur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Pila chri&longs;tallina, vel vitrea, qua ratione comburat.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Planetæ, qua ratione moueantur duplici motu.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Planetarum ordo.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Principia Mathematicorum.<emph.end type="italics"/> 2.</cell>

</row>

<row>

<cell><emph type="italics"/>Principia &longs;cientiarum duplicia. Ex quibus, & circa quod.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Principia Mathematica non pendere ab experientia.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Proportio alterna. 28. multiplicata, &longs;eu multiplex &longs;ecundum Cæneum.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>P&longs;eudographia quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Proportionalitas quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Proportio continuata, & 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>

</row>

<row>

<cell><emph type="italics"/>Proportio &longs;ecundum dignitatem, e&longs;t Geometrica.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Problemata mu&longs;icalia varia à 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>

</row>

<row>

<cell><emph type="italics"/>Pupillæ oculi etymon., & natura. 408. cur in oculo no&longs;tro imago pupillæ 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="operã">operam</expan> dedere, easqué ceteris &longs;cientijs præponeb&abreve;t.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Qvadratura circuli. vide circulus. de quadratura figurarum rectangularum, & quadraturæ duplex definitio cau&longs;alis, & formalis.<emph.end type="italics"/></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/>

</row>

<row>

<cell><emph type="italics"/>Remi problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Re&longs;olutio logica, & mathematica, vt conueniant. 4. &<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Re&longs;ultus cadentium in terram, quibus angulis fiat.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Rythmus fusè explicatur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Rubrum mare duplex.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Scythala quid, & eius figura 250. &<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Securis problema, vbi de antiquæ &longs;euris figura, & angulo pulchra demon&longs;tran-tur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Semitonium, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Solem e&longs;&longs;e terra multo maiorem: probatur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Sphæram planum tangit in puncto. demon&longs;tratur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Statera antiqua, quæ: eius figura, & problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Stereomatria, vt differat à Geometria.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Succula.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Symphonæ voces.<emph.end type="italics"/> 372.</cell>

</row>

<row>

<cell><emph type="italics"/>Symphonia.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Temonis nauis problema.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Terræ quantitas.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Terram paulatim reduci ad pefféctam rotunditatem.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Tetragoni&longs;mus. vide Quadratura.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Teretizare, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Tetrachordon, quid.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Tollenonis problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Tonus mu&longs;icus, qui; vnde oriatur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Trochleæ problemata.<emph.end type="italics"/> 249. 250.</cell>

</row>

<row>

<cell><emph type="italics"/>Tunicæ oculi. 408. in tractatu de Pupilla.<emph.end type="italics"/></cell>

<cell/>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Ventorum nomina, & &longs;itus.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vectis quotuplex, & c.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Virgiliæ, Pleiades.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vi&longs;æ res gemmantur di&longs;tractis oculis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vi&longs;æ rei geminatio non fit altero oculo in latera torto, cur.<emph.end type="italics"/></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>

</row>

<row>

<cell><emph type="italics"/>Vmbelici litoralis problema.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vmbram terræ parum &longs;upra Lunam tran&longs;cendere.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vmbrarum incrementa, & decrementa, cur inæqualia.<emph.end type="italics"/> 344.</cell>

</row>

<row>

<cell><emph type="italics"/>Vi&longs;us res geminat, &longs;i alter oculorum digito pellatur, cur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vocum mu&longs;icalium antiquæ appellationes.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vox acuta velocior, grauis verò tarda, cur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Voluminum &longs;ectio modo rectam lineam, modo curuam refert, cur.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Vnitas, cur indiui&longs;ibilis.<emph.end type="italics"/></cell>

</row>

<row>

<cell/>

</row>

<row>

<cell><emph type="italics"/>Zonas terræ, vt Arist. de&longs;ignet: & quæ &longs;ecundum ip&longs;um &longs;int habitabiles.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Zonam torridam quatuor reddunt habitabilem.<emph.end type="italics"/></cell>

</row>

</table>

<s id="id.000666">Finis Tertij Indicis.</s>

</section>

<s id="id.000667">Vi&longs;um e&longs;t etiam opportunum Lectori fore, ea &longs;imul in vnum <lb/>

loca colligere, in quibus Ari&longs;toteles mihi vi&longs;us e&longs;t in Ma<lb/>

thematicis &longs;copum non attigi&longs;&longs;e, vt alij pr&etail;&longs;ertim Peripa<lb/>

tetici facilius ea inuenire, <expan abbr="atq;">atque</expan> de ij&longs;dem iudicium ferre <lb/>

po&longs;&longs;int.<lb/>

<arrow.to.target n="table3"/></s>

<table>

<table.target id="table3"/>

<row>

<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"/>Latitudinem figura, ait, cau&longs;am e&longs;&longs;e &longs;upernatationis. & aquam re&longs;i&longs;tere &longs;impliciter diui&longs;ioni.<emph.end type="italics"/></cell>

</row>

<row>

<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"/>Ait Tanaim, & Indum oriri ex monte Paropami&longs;&longs;o. & c.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ait, tertia parte noctis Cauca&longs;i verticem illuminari à Sole.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ait Danubium ex Pyreneo monte defluere.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ait fluuium quendam non minorem Rhodano in Liguria ab&longs;orberi, & iterum egredi.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ait Rubrum mare parum Atlantico Oceano commi&longs;ceri.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Zonam torridam inhabit abilem exi&longs;timat.<emph.end type="italics"/></cell>

</row>

<row>

<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"/>Rationes, quas in Parelij dubitationibus affert, videntur inanes.<emph.end type="italics"/></cell>

</row>

<row>

<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"/>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"/>Remum ad vectem primi generis reducit.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Temonem nauis reducit ad vectem primi generis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>In motu Remi collato cum motu Nauigij, à Nonio erroris manifestè arguitur. eodem modo in motu Temonis.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Ait maioribus trochleis, aut rotulis facilius onera &longs;ubleuari.<emph.end type="italics"/></cell>

</row>

<row>

<cell><emph type="italics"/>Reducit cuneum ad vectem primi generis.<emph.end type="italics"/></cell>

</row>

<row>

<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"/>Ait Danubium altero ramo in Mediterraneum, altero in Pontum effluere.<emph.end type="italics"/></cell>

</row>

<row>

<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"/>Problem. 2. &longs;ect. 2 3. non benè videtur a&longs;signare cau&longs;am variæ im-mer&longs;ionis nauigij.<emph.end type="italics"/></cell>

</row>

</table>

</section>

</front>

<body>

<chap>

<s id="id.000668">LOCA <lb/>MATHEMATICA <lb/>EX LIBRO <lb/>

PRÆDICAMENTORVM<lb/>

Per ordinem declarata.</s>

<s id="id.000671">Ex c. 3. De his, quæ ad aliquid. </s>

<s id="id.000672">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita <lb/>

<expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g. <lb/>

<s id="id.000672">Porrò quemadmodum vnus angulus vni angulo æqualis e&longs;t, ita

angulus B A C, vbi ait <emph type="italics"/>(Scientia verò &longs;i non &longs;it, <lb/>

<lb/><expan abbr="aliquãdo">aliquando</expan> duo anguli &longs;unt vni angulo æquales, vt patet, &longs;i vnus angulus, v.g.

nihil probibet e&longs;&longs;e &longs;cibile, vt circuli quadratura, &longs;i e&longs;t &longs;cibilis, <lb/>

<lb/>angulus B A C, vbi ait <emph type="italics"/>(Scientia verò &longs;i non &longs;it,

&longs;cientia quidem eius nondum e&longs;t)<emph.end type="italics"/> Cum velit Ari&longs;t. o&longs;tendere, <lb/>

<lb/>nihil probibet e&longs;&longs;e &longs;cibile, vt circuli quadratura, &longs;i e&longs;t &longs;cibilis,

nó omnia correlatiua &longs;imul e&longs;&longs;e natura, id de &longs;cibili, & &longs;cien<lb/>

<lb/>&longs;cientia quidem eius nondum e&longs;t)<emph.end type="italics"/> Cum velit Ari&longs;t.

tia variè probat, præ&longs;ertim verò, quia multa &longs;int &longs;cibilia, <lb/>

quæ tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu<lb/>

o&longs;tendere,

ra circuli, & &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi<lb/>

<lb/>nó omnia correlatiua &longs;imul e&longs;&longs;e natura, id de &longs;cibili, & &longs;cien

lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s>

<lb/>tia variè probat, præ&longs;ertim verò, quia multa &longs;int &longs;cibilia,

<s id="id.000673">Quæ vt perfectè <lb/>

<lb/>quæ tamen nondum &longs;ciantur, vt patet, inquit, in Quadratu

intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, quæ à Græcis tetrago<lb/>

<lb/>ra circuli, & &longs;cientia ip&longs;ius, quia quamuis ip&longs;a circuli quadratura &longs;it &longs;cibi

ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, quàm propo&longs;ito cuilibet circulo exhibere <lb/>

<lb/>lis, nondum tamen &longs;imul cum ip&longs;a, &longs;cientia illius extat. </s>

quadratum æquale. </s>

<s id="id.000674">Quæ æqualitas debet intelligi de areis, &longs;eu &longs;patijs, ita <lb/>

<s id="id.000673">Quæ vt perfectè

vt area circuli, &longs;eu &longs;patium illud, &longs;iue &longs;uperficies illa circularis, &longs;it æqualis <lb/>

<lb/>intelligantur, &longs;ciendum e&longs;t, quadraturam circuli, quæ à Græcis tetrago

areæ, &longs;eu &longs;uperficiei quadratæ. </s>

<lb/>ni&longs;mus dicitur, nihil aliud e&longs;&longs;e, quàm propo&longs;ito cuilibet circulo exhibere

<s id="id.000675">Qua in re plurimi decipiuntur exi&longs;timantes <lb/>

<lb/>quadratum æquale. </s>

per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen<lb/>

tia circuli debeat e&longs;&longs;e æqualis ambitui, &longs;eu quatuor lateribus quadrati: <lb/>

<s id="id.000674">Quæ æqualitas debet intelligi de areis, &longs;eu &longs;patijs, ita

quod omnino fal&longs;um e&longs;t.</s>

<lb/>vt area circuli, &longs;eu &longs;patium illud, &longs;iue &longs;uperficies illa circularis, &longs;it æqualis

<lb/>areæ, &longs;eu &longs;uperficiei quadratæ. </s>

<s id="id.000676">Quadratio porrò circuli dupliciter proponi pote&longs;t, vel tanquam Theo<lb/>

<s id="id.000675">Qua in re plurimi decipiuntur exi&longs;timantes

rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa<lb/>

<lb/>per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen

ciendum proponitur; problema verò aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem<lb/>

<lb/>tia circuli debeat e&longs;&longs;e æqualis ambitui, &longs;eu quatuor lateribus quadrati:

pore Ari&longs;t. erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen<lb/>

<lb/>quod omnino fal&longs;um e&longs;t.</s>

tis circiter annis ab Archimede: problema verò nondum à quoquam per<lb/>

fectè potuit reperiri. </s>

<s id="id.000676">Quadratio porrò circuli dupliciter proponi pote&longs;t, vel tanquam Theo

<s id="id.000677">qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius <lb/>

<lb/>rema, vel tanquam Problema <emph type="italics"/>(theorema autem e&longs;t propo&longs;itio, in qua nihil fa

hoc loco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadraturæ huius, &longs;i nimi<lb/>

<lb/>ciendum proponitur; problema verò aliquid fieri expo&longs;cit)<emph.end type="italics"/> neutrum autem tem

rum intelligant theorema. </s>

<lb/>pore Ari&longs;t.

<s id="id.000678">& alij etiam verum a&longs;&longs;erunt, dum negant hacte<lb/>

nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi

erat adinuentum nam theorema inuentum e&longs;t po&longs;t ip&longs;um ducen

<lb/>tis circiter annis ab Archimede: problema verò nondum à quoquam per

<lb/>fectè potuit reperiri. </s>

<pb pagenum="34" xlink:href="http://archimedes.fas.harvard.edu/images/009-01-pageimg/009.01.034.jpg"/>medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au<lb/>

tem huiu&longs;modi. </s>

<s id="id.000677">qua di&longs;tinctione &longs;aluari po&longs;&longs;unt nonnulli, vt Boetius

<s id="id.000679">Quilibet circulus æqualis e&longs;t triangulo rectangulo, cuius <lb/>

<lb/>hocloco, qui aiunt, &longs;e vidi&longs;&longs;e Demon&longs;trationem quadraturæ huius, &longs;i nimi

quidem &longs;emidiameter vni laterum, quæ circa rectum angulum &longs;unt, ambi<lb/>

<lb/>rum intelligant theorema. </s>

tus verò ba&longs;i eius e&longs;t æqualis.</s>

<s id="id.000678">& alij etiam verum a&longs;&longs;erunt, dum negant hacte

<lb/>nus repertam e&longs;&longs;e, &longs;i nimirum de problemate loquantur, theorema Archi<pb xlink:href="009/01/034.jpg" pagenum="34"/>medis e&longs;t propo&longs;itio prima acuti&longs;&longs;imi libelli de Dimen&longs;ione circuli; e&longs;t au

<lb/>tem huiu&longs;modi. </s>

<s id="id.000680">Sit, v.g. datus circulus, cuius &longs;emidiameter A B; & fit triangulum rectangu<lb/>

lum A B C, cuius angulus B, &longs;it rectus, & latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re<lb/>

<s id="id.000679">Quilibet circulus æqualis e&longs;t triangulo rectangulo, cuius

ctum B, cum ba&longs;i B C, &longs;it æquale &longs;emidiametro A B; ba&longs;is verò B C, &longs;it æqua<lb/>

<lb/>quidem &longs;emidiameter vni laterum, quæ circa rectum angulum &longs;unt, ambi

lis peripheriæ eiu&longs;dem circuli dati. </s>

<lb/>tus verò ba&longs;i eius e&longs;t æqualis.</s><figure id="id.009.01.034.1.jpg" xlink:href="009/01/034/1.jpg" place="text"/>

<s id="id.000681">demon&longs;trat iam ibi Archimedes acuta <lb/>

æquè, ac euidenti demon&longs;tratione triangulum i&longs;tud æquale e&longs;&longs;e circulo illi. <lb/>

<s id="id.000680">Sit, v.g. datus circulus, cuius &longs;emidiameter A B; & fit trian gulum rectangu

</s>

<lb/>lum A B C, cuius angulus B, &longs;it rectus, & latus B A, <expan abbr="con&longs;titu&etilde;s">con&longs;tituens</expan> angulum re

<s id="id.000682">quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it æqualis, cum per vl<lb/>

<lb/>ctum B, cum ba&longs;i B C, &longs;it æquale &longs;emidiametro A B; ba&longs;is verò B C, &longs;it æqua

timam 2. Eucl. po&longs;&longs;imus triangulo huic quadratum æquale con&longs;truere, quod <lb/>

<lb/>lis peripheriæ eiu&longs;dem circuli dati. </s>

con&longs;equenter dato circulo æquale erit. </s>

<s id="id.000683">Quod &longs;i in modum Problematis ita <lb/>

proponatur: Dato circulo æquale quadratum con&longs;truere, nondum inuenta <lb/>

e&longs;t ratio, quæ demon&longs;tratione confirmetur, qua id geometricè penitus, hoc <lb/>

<s id="id.000681">demon&longs;trat iam ibi Archimedes acuta

e&longs;t ad æqualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif<lb/>

<lb/>æquè, ac euidenti demon&longs;tratione triangulum i&longs;tud æquale e&longs;&longs;e circulo illi.

ficultas po&longs;ita e&longs;&longs;e videtur in inue&longs;tigando, quonam modo exhibeamus li<lb/>

neam rectam B C, æqualem peripheriæ circuli dati. </s>

<s id="id.000684">quam nullus hactenus <lb/>

<s id="id.000682">quod perinde e&longs;t, ac &longs;i o&longs;tendi&longs;&longs;et cuinam quadrato &longs;it æqualis, cum per vl

geometricè illi æqualem potuit exhibere, <expan abbr="atq;">atque</expan> exhibita <expan abbr="euid&etilde;ti">euidenti</expan> demon&longs;tra<lb/>

<lb/>timam 2. Eucl. po&longs;&longs;imus triangulo huic quadratum æquale con&longs;truere, quod

tione comprobare; Quamuis Archimedes acumine &longs;anè mirabili in lib. de <lb/>

<lb/>con&longs;equenter dato circulo æquale erit. </s>

lineis &longs;piralibus, eam <expan abbr="quoq;">quoque</expan> theorematicè, non tamen problematicè inue<lb/>

&longs;tigauit. </s>

<s id="id.000685">nam propo&longs;itione 18. illius <expan abbr="admirãdi">admirandi</expan> operis inuenit lineam rectam <lb/>

æqualem circumferentiæ primi circuli &longs;piralis lineæ; propo&longs; verò 19. repe<lb/>

<s id="id.000683">Quod &longs;i in modum Problematis ita

rit aliam rectam æqualem circumferentiæ &longs;ecundi circuli. </s>

<lb/>proponatur: Dato circulo æquale quadratum con&longs;truere, nondum inuenta

<s id="id.000686">tu ip&longs;um con&longs;ule, <lb/>

<lb/>e&longs;t ratio, quæ demon&longs;tratione confirmetur, qua id geometricè penitus, hoc

&longs;i admirandarum rerum contemplatione delectaris. </s>

<lb/>e&longs;t ad æqualitatem mathematicam, &longs;eu exacti&longs;&longs;imam effici po&longs;&longs;it, <expan abbr="tota&qacute;">totaque</expan>; dif

<s id="id.000687">Multa hac de re Pap<lb/>