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version 1.26, 2002/08/19 12:53:25 version 1.29, 2002/09/09 22:04:08
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 <?xml version="1.0"?> <?xml version="1.0"?>
 <!DOCTYPE archimedes SYSTEM "../archimedes.dtd" > <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd" >
 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink">      <info> <archimedes xmlns:xlink="http://www.w3.org/1999/xlink">      <info>
         <author>Monantheuil, Henri de</author>         <author>Monantheuil, Henri de</author>
         <title>Aristotelis Mechanica</title>         <title>Aristotelis Mechanica</title>
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 <s>ARISTOTELIS <lb/>MECHANICA <lb/>Gr&aelig;ca, emendata, Latina facta, &amp; <lb/>Commentariis illu&longs;trata. <lb/></s> <s>ARISTOTELIS <lb/>MECHANICA <lb/>Gr&aelig;ca, emendata, Latina facta, &amp; <lb/>Commentariis illu&longs;trata. <lb/></s>
  
 <s>A B <lb/><emph type="italics"/>HENRICO MONANTHOLIO <lb/>Medico, &amp; Mathematicarum artium <lb/>Profe&longs;&longs;ore Regio.<emph.end type="italics"/><lb/>A D <lb/>HENRICVM IIII. GALLI&AElig; &amp; NAVARR&AElig; <lb/>Regem Chri&longs;tiani&longs;simum.</s></p><figure/><p type="head"> <s>A B <lb/><emph type="italics"/>HENRICO MONANTHOLIO <lb/>Medico, &amp; Mathematicarum artium <lb/>Profe&longs;&longs;ore Regio.<emph.end type="italics"/><lb/>A D <lb/>HENRICVM IIII. GALLI&AElig; &amp; NAVARR&AElig; <lb/>Regem Chri&longs;tiani&longs;simum.<!-- KEEP S--></s></p><figure/><p type="head">
  
 <s>PARISIIS, <lb/>Apud <gap/>EMIAM PERIER via Iacob&aelig;a, &longs;ub &longs;igno Bellerophontis.</s></p><p type="head"> <s>PARISIIS, <lb/>Apud <gap/>EMIAM PERIER via Iacob&aelig;a, &longs;ub &longs;igno Bellerophontis.</s></p><p type="head">
  
 <s>M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s></p><pb/><figure/><p type="head"> <s>M. D. XCIX. <lb/><emph type="italics"/>CUM PRIVILEGIO REGIS.<emph.end type="italics"/></s></p><pb/><figure/><p type="head">
  
 <s>HENRICO IIII. <lb/>GALLI&AElig; ET NAVARR&AElig; <lb/>REGI CHRISTIANISSIMO. <lb/>S. P. D.</s></p><p type="main"> <s>HENRICO IIII. <lb/>GALLI&AElig; ET NAVARR&AElig; <lb/>REGI CHRISTIANISSIMO. <lb/>S. P. D.<!-- KEEP S--></s></p><p type="main">
  
 <s>Ecce maie&longs;tati tu&aelig;, <lb/>Rex Chri&longs;tiani&longs;&longs;ime, <lb/>nouum <expan abbr="fruct&utilde;">fructum</expan>, &amp; tan&shy;<lb/>quam primitias tu&aelig;&agrave;te <lb/>nuper re&longs;titut&aelig; Acade&shy;<lb/>mi&aelig;, Mechanica Ari&shy;<lb/>&longs;totelis philo&longs;ophorum principis Gr&ecedil;&shy;<lb/>ca, emendata, Latina facta, &amp; commen&shy;<lb/>tariis illu&longs;trata offero, dico, con&longs;ecro. <lb/></s> <s>Ecce maie&longs;tati tu&aelig;, <lb/>Rex Chri&longs;tiani&longs;&longs;ime, <lb/>nouum <expan abbr="fruct&utilde;">fructum</expan>, &amp; tan&shy;<lb/>quam primitias tu&aelig;&agrave;te <lb/>nuper re&longs;titut&aelig; Acade&shy;<lb/>mi&aelig;, Mechanica Ari&shy;<lb/>&longs;totelis philo&longs;ophorum principis Gr&ecedil;&shy;<lb/>ca, emendata, Latina facta, &amp; commen&shy;<lb/>tariis illu&longs;trata offero, dico, con&longs;ecro. <lb/></s>
  
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 <s>HENRICVS MONANTHOLIVS.</s></p><pb/><p type="head"> <s>HENRICVS MONANTHOLIVS.</s></p><pb/><p type="head">
  
 <s>A D <lb/>HENRICVM IIII. <lb/>GALLI&AElig; ET NAVARR&AElig; <lb/>Regem Chri&longs;tiani&longs;&longs;imum.</s></p><p type="main"> <s>A D <lb/>HENRICVM IIII. <lb/>GALLI&AElig; ET NAVARR&AElig; <lb/>Regem Chri&longs;tiani&longs;&longs;imum.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Pacatos fecit tua nos victoria ciues. <lb/></s> <s><emph type="italics"/>Pacatos fecit tua nos victoria ciues. <lb/></s>
  
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 <s><emph type="italics"/>Sed mendis f&oelig;dus merito &longs;ine honore iacebat,<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Sed mendis f&oelig;dus merito &longs;ine honore iacebat,<emph.end type="italics"/></s></p><p type="main">
  
 <s><emph type="italics"/>Non authore &longs;uo dignus Aristotele.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Non authore &longs;uo dignus Aristotele.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Lectus erat nulli, nulli intellectus agebat<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Lectus erat nulli, nulli intellectus agebat<emph.end type="italics"/></s></p><p type="main">
  
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 <s>RICHARDVS MERCES</s></p><p type="main"> <s>RICHARDVS MERCES</s></p><p type="main">
  
 <s>Doct. </s> <s>Doct. <!-- REMOVE S-->Med. <!-- REMOVE S-->Pari&longs;.<!-- KEEP S--></s>
  
 <s>Med. </s> 
  
 <s>Pari&longs;.</s></p><pb/><figure/><p type="head"> 
  
 <s>PRAEFATIO IN <lb/>MECHANICA ARISTO&shy;<lb/>TELIS, AD LECTOREM.</s></p><p type="main"> </p><pb/><figure/><p type="head">
  
  <s>PRAEFATIO IN <lb/>MECHANICA ARISTO&shy;<lb/>TELIS, AD LECTOREM.<!-- KEEP S--></s></p><p type="main">
  
 <s>Philosophari in vno rerum quo&shy;<lb/>libet genere, <expan abbr="c&atilde;dide">candide</expan> lector, res e&longs;t per&shy;<lb/>quam dulcis. </s> <s>Philosophari in vno rerum quo&shy;<lb/>libet genere, <expan abbr="c&atilde;dide">candide</expan> lector, res e&longs;t per&shy;<lb/>quam dulcis. </s>
  
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 <s>quid <lb/>enim e&longs;t, quod non &longs;uis v&longs;ibus accommodarit? </s> <s>quid <lb/>enim e&longs;t, quod non &longs;uis v&longs;ibus accommodarit? </s>
  
 <s>quibus &longs;i <lb/><expan abbr="bonitat&etilde;">bonitatem</expan> exemplo Dei Opt. </s> <s>quibus &longs;i <lb/><expan abbr="bonitat&etilde;">bonitatem</expan> exemplo Dei Opt. <!-- REMOVE S-->Max. <!-- REMOVE S-->&longs;em per <expan abbr="adi&utilde;xerit">adiunxerit</expan>, alte&shy;<lb/>r&ugrave;m <expan abbr="quoq;">quoque</expan> <expan abbr="De&utilde;">Deum</expan> inter mortales e&longs;&longs;e dicere non recu&longs;em. <lb/></s>
  
  
  
 <s>Max. </s> 
  
 <s>&longs;em per <expan abbr="adi&utilde;xerit">adiunxerit</expan>, alte&shy;<lb/>r&ugrave;m <expan abbr="quoq;">quoque</expan> <expan abbr="De&utilde;">Deum</expan> inter mortales e&longs;&longs;e dicere non recu&longs;em. <lb/></s> 
  
 <s>E&longs;t cert&egrave; animus in homine ars <expan abbr="arti&utilde;">artium</expan>. </s> <s>E&longs;t cert&egrave; animus in homine ars <expan abbr="arti&utilde;">artium</expan>. </s>
  
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 <s>Terra, inquit, marique &longs;imul c&oelig;pt&aelig; oppugnari <lb/>Syracu&longs;&aelig;, terra ab Hexapylo: mari ab Acradina. </s> <s>Terra, inquit, marique &longs;imul c&oelig;pt&aelig; oppugnari <lb/>Syracu&longs;&aelig;, terra ab Hexapylo: mari ab Acradina. </s>
  
 <s>Et habui&longs;&shy;<lb/>&longs;et tant&ograve; impetu c&oelig;pta res fortunam, ni&longs;i vnus homo Syra&shy;<lb/>cu&longs;is ea <expan abbr="t&etilde;pe&longs;tate">tempe&longs;tate</expan> fui&longs;&longs;et Archimedes. </s> <s>Et habui&longs;&shy;<lb/>&longs;et tant&ograve; impetu c&oelig;pta res fortunam, ni&longs;i vnus homo Syra&shy;<lb/>cu&longs;is ea <expan abbr="t&etilde;pe&longs;tate">tempe&longs;tate</expan> fui&longs;&longs;et Archimedes. <!-- KEEP S--></s>
  
 <s>Is erat vnicus &longs;pecta&shy;<lb/>tor c&oelig;li &longs;iderum que: mirabilior tamen inuentor ac machi&shy;<lb/>nator bellicorum <expan abbr="torm&etilde;torum">tormentorum</expan>, operumque: quibus ea qu&aelig; <lb/>ho&longs;tes ingenti mole agerent ip&longs;e perleui momento ludi&longs;i-<pb/>caretur. </s> <s>Is erat vnicus &longs;pecta&shy;<lb/>tor c&oelig;li &longs;iderum que: mirabilior tamen inuentor ac machi&shy;<lb/>nator bellicorum <expan abbr="torm&etilde;torum">tormentorum</expan>, operumque: quibus ea qu&aelig; <lb/>ho&longs;tes ingenti mole agerent ip&longs;e perleui momento ludi&longs;i-<pb/>caretur. </s>
  
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 <s>In i&longs;tam igitur inqui&longs;itio&shy;<lb/>nem, tractationem, commentationem nobilem, ingenuam <lb/>&amp; philo&longs;ophi non vulgariter vt multi: &longs;ed in Geometria <lb/>magnopere eruditi ingenio digni&longs;&longs;imam, tot magnorum <lb/>virorum exemplo, &longs;i, can dide lector, me hortante atque his <lb/>no&longs;trorum commentariorum vigilijs, vtcunque adiuuante, <lb/>diligenter incubueris, tui te laboris, mihi crede, penitebit <lb/>numquam. </s> <s>In i&longs;tam igitur inqui&longs;itio&shy;<lb/>nem, tractationem, commentationem nobilem, ingenuam <lb/>&amp; philo&longs;ophi non vulgariter vt multi: &longs;ed in Geometria <lb/>magnopere eruditi ingenio digni&longs;&longs;imam, tot magnorum <lb/>virorum exemplo, &longs;i, can dide lector, me hortante atque his <lb/>no&longs;trorum commentariorum vigilijs, vtcunque adiuuante, <lb/>diligenter incubueris, tui te laboris, mihi crede, penitebit <lb/>numquam. </s>
  
 <s>Vale.</s></p><pb/><p type="head"> <s>Vale.<!-- KEEP S--></s></p><pb/><p type="head">
  
 <s><emph type="italics"/>Extraict du Priuilege du Roy.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Extraict du Priuilege du Roy.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Par grace &amp; priuilege du Roy, il e&longs;t permis &agrave; Ie&shy;<lb/>remie Perier marchant Libraire &agrave; Paris, d'impri&shy;<lb/>mer ou faire imprimer vn liure intitul&eacute; <emph type="italics"/>Ari&longs;totelis <lb/>Mechanica, Gr&aelig;ca emendata, Latina facta, &amp; commen&shy;<lb/>tar&yuml;s illu&longs;trata, ab Henrico Monantholio Medico, &amp; Ma&shy;<lb/>thematicarum artium Profe&longs;&longs;ore Regio.<emph.end type="italics"/></s><s> Et deffen&longs;es &longs;ont <lb/>faictes &agrave; toutes per&longs;onnes de quelque e&longs;tat qualit&eacute; &amp; <lb/>condition qu'ils &longs;oyent, en quelques lieux &amp; villes de <lb/>ce Royaume, de ne le faire imprimer ou faire faire im&shy;<lb/>primer &agrave; peine des articles po&longs;&eacute;s &agrave; l'original du pre&shy;<lb/>&longs;ent priuilege, iu&longs;ques au temps &amp; terme de dix ans, <lb/>finis &amp; accomplis &agrave; conter du iour &amp; datte de la pre&shy;<lb/>&longs;ante impre&longs;&longs;ion, nonob&longs;tant toutes oppo&longs;itions ou <lb/>appellations quelconques, &amp; &longs;ans preiudice d'icelle, <lb/>car tel e&longs;t le plai&longs;ir de &longs;a Mage&longs;t&eacute;. </s> <s>Par grace &amp; priuilege du Roy, il e&longs;t permis &agrave; Ie&shy;<lb/>remie Perier marchant Libraire &agrave; Paris, d'impri&shy;<lb/>mer ou faire imprimer vn liure intitul&eacute; <emph type="italics"/>Ari&longs;totelis <lb/>Mechanica, Gr&aelig;ca emendata, Latina facta, &amp; commen&shy;<lb/>tar&yuml;s illu&longs;trata, ab Henrico Monantholio Medico, &amp; Ma&shy;<lb/>thematicarum artium Profe&longs;&longs;ore Regio.<emph.end type="italics"/></s><s> Et deffen&longs;es &longs;ont <lb/>faictes &agrave; toutes per&longs;onnes de quelque e&longs;tat qualit&eacute; &amp; <lb/>condition qu'ils &longs;oyent, en quelques lieux &amp; villes de <lb/>ce Royaume, de ne le faire imprimer ou faire faire im&shy;<lb/>primer &agrave; peine des articles po&longs;&eacute;s &agrave; l'original du pre&shy;<lb/>&longs;ent priuilege, iu&longs;ques au temps &amp; terme de dix ans, <lb/>finis &amp; accomplis &agrave; conter du iour &amp; datte de la pre&shy;<lb/>&longs;ante impre&longs;&longs;ion, nonob&longs;tant toutes oppo&longs;itions ou <lb/>appellations quelconques, &amp; &longs;ans preiudice d'icelle, <lb/>car tel e&longs;t le plai&longs;ir de &longs;a Mage&longs;t&eacute;. </s>
  
 <s>Donn&eacute; &agrave; Paris le <lb/>23. de Decembre 1598.</s></p><p type="main"> <s>Donn&eacute; &agrave; Paris le <lb/>23. de Decembre 1598.</s></p><p type="main">
  
 <s><emph type="italics"/>Sign&eacute; par le Con&longs;eil<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Sign&eacute; par le Con&longs;eil<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.</s></p><pb/><p type="head"> <s><emph type="italics"/>D<emph.end type="italics"/>E LAVETS.<!-- KEEP S--></s></p><pb/><p type="head">
  
 <s>INDEX MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>&amp; eorum Commentarijs.<lb/><arrow.to.target n="table1"/></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/><foreign lang="greek">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia rot&aelig;.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in   opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione   tant&ugrave;m<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid.<emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agricultur&aelig; nece&longs;&longs;aria.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>&AElig;des rotunda mirifica.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>&AElig;dificium durabile rect&agrave; in&longs;i&longs;tit.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>&AElig;olus primus v&longs;us velis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>&AElig;quale e&longs;t cau&longs;a quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>&AElig;quilibrium in ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/lai</foreign> <emph type="italics"/>qui.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angubus &aelig;qualitatis,   ide&oacute;que quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omnia&aelig; <expan abbr="quit&longs;c&utilde;t">quit&longs;cunt</expan>.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemn&aelig; motio.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is med&yuml; confert ad motum   proiecti.<emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli-cium.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura &amp; arte.<emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, &amp; plant&aelig; in&longs;i&longs;lunt plane terr&aelig;   ad rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelairegis factum in edip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus   data potentia mouere.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architecture&aelig; tres partes.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us &agrave; Nonio.<emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, &amp; ad alium &longs;co-pum vertit.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plen&aelig;.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, &amp; natur&aelig; differentia.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, &amp; &longs;ordi-das.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magn&aelig;.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes.<emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonic&aelig;.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co-chlea.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, &amp; aues longo collo vident c&oelig;-lum, vt homo.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="greek">*au<gap/>/mata.</foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel   conus inuer&longs;us.<emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia   pondera.<emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tut&ograve; a&longs;cendunt, pericu-los&egrave; de&longs;cendunt.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="c&atilde;cellari&aelig;">cancellari&aelig;</expan> Apo-&longs;tolic&aelig; regens con&longs;ecrat, &amp; compreca-tur multa &longs;uper crucem apici obeli&longs;ci   imponendam.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim   atque crux impo&longs;ita fuit apici obe-li&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><pb/><row><cell><emph type="italics"/>Bouilli error, qui put abat rectam iuuen-tam equalem peripheri&aelig; ex circuli   &longs;uper planum reuolutione.<emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratr&utilde;">aratrum</expan> pariter &longs;ubiugandi.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bo&uuml;m in iugo imbecillior &longs;ubleuari po-te&longs;t.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um   habent.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*ka/<gap/>ar</foreign> <emph type="italics"/>in fund a quid &longs;it.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calli&aelig; Rhodien&longs;is factum <expan abbr="mechanic&utilde;">mechanicum</expan>.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us &agrave; Scaligero.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;cur&egrave; &amp; imper&longs;ect&egrave;: inge-nios&egrave; tamen&longs;crip&longs;it.<emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t   <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo-dem tempore moti.<emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex.<emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, &amp; &longs;imia e&longs;t ridicula ho-minis imitatio.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis   manu.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="greek">a)ntixeir,</foreign> vt   in manu hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem.<emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere,   licet&longs;u operatio chirurgica.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author D&aelig;dalus.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principi&utilde;">principium</expan> omnium virium,   qu&aelig;&longs;unt in machinis motricibus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabili&szlig;imus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, &amp; pone mouetur &longs;imul.<emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet.<emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore   circulo.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores.<emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="c&otilde;tingit">contingit</expan> <expan abbr="plan&utilde;">planum</expan> in vno <expan abbr="p&utilde;cto">puncto</expan>.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per &aelig;qualem   orbitam reuoluitur &amp; contra.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="c&otilde;centrici">concentrici</expan> in&aelig;quales iuncti &aelig;qua-lem orbitam <expan abbr="percurr&utilde;t">percurrunt</expan>.<emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima   &amp; <gap/>pinquior remotiore maior.<emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem   interius tangat de&longs;cribere.<emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>C&oelig;li motus unde.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>C&oelig;lum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Col&utilde;ba">Columba</expan> volans Acchit&aelig; <expan abbr="n&otilde;">non</expan> e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria qu&aelig; &longs;int ver&egrave;.<emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam   quie&longs;cens.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum &amp; concauum non &longs;unt con-traria.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochle&aelig; effecta.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochle&aelig; Ari&longs;toteles non meminit.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel   vnus cuneus continuatus.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium   demon&longs;tratio linearis.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid.<emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us.<emph.end type="italics"/></cell><cell>127</cell></row><pb/><row><cell><emph type="italics"/>Cuneimagna vis.<emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magn&aelig; moles diuiduntur.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Croc&aelig; Ari&longs;toteliquid.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Croc&aelig; rotund&aelig;.<emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabili&szlig;ima figurarum.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>D&aelig;dali &longs;tatu&aelig;liber&aelig;, &amp; ligat&aelig;.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid.<emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animali&utilde;">animalium</expan> inci&longs;or&yuml; &longs;unt cunei.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia &agrave; clauo in-fixo.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit   crucem apici obeli&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, &amp; Sph&aelig;r&aelig; in&longs;i&longs;tit   plano ad rectos.<emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam qu&aelig;ratio.<emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;it&aelig; crucis obeli&longs;co.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontan&aelig; triumphus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra &agrave; &longs;undamentis &longs;ublata,   &amp; ali&ograve; tran&longs;lata.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="greek">*epipo/laia</foreign> <emph type="italics"/>vis qu&aelig;.<emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergat&aelig;, &amp; &longs;uccul&aelig; di&longs;tinctio.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent.<emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua qu&aelig;.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit c&aelig;te-ras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="dec&utilde;bentis">decumbentis</expan> exirema.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corpor&utilde;iuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, &amp; natura-les impetus.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu medi&aelig;   qu&aelig;.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, &amp; forfex quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Sphar&aelig;.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Ph&aelig;nicuno.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fund&aelig; v&longs;us.<emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fund&aelig; cur Balearis.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius pro&yuml;cit, quam manus.<emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem &amp; plumbum.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non l&aelig;dit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur   &longs;ine cyphorum fractione &amp; aqu&aelig; effu-&longs;ione.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Georgij Lhuller&yuml; machina.<emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum &amp; eius partes.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi &amp; remi differentia.<emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne.<emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus   breuiora habent.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ha&longs;t&aelig; ferrum e&longs;t cuneus.<emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u   Geometri&aelig;,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, &amp; progre&longs;sio, vs   fiat.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="n&otilde;">non</expan> &longs;tatrectus, vt <expan abbr="c&aelig;l&utilde;">c&aelig;lum</expan> videus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus.<emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex.<emph.end type="italics"/></cell><cell>194</cell></row><pb/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus &amp; paruuus quis.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non   &aelig;qualiter premuntur.<emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, &amp; gnemones antecellunt.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;ic&utilde;">magni&longs;icum</expan>.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum &amp; pronum commune   e&longs;t multis anim antibus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata.<emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli.<emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore.<emph.end type="italics"/></cell><cell>27.44.   45</cell></row><row><cell><emph type="italics"/>Libr&aelig; finis.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libr&aelig;partes.<emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libr&aelig;fallaci&aelig;.<emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libr&aelig; valde exigua examinantis fabri-ca.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="p&otilde;dere">pondere</expan> facilius mouetur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="mane&atilde;t">maneant</expan>, aut redeant   ad <expan abbr="&aelig;quilibri&utilde;">&aelig;quilibrium</expan> &longs;ublatis <expan abbr="p&otilde;deril^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligne&utilde;">ligneum</expan> facili^{9} mouetur ferreo.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="fcr&utilde;-tur">fcrun-tur</expan> bumere, quam &agrave; medio.<emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt &egrave; genu facilius <expan abbr="fr&atilde;gatur">frangatur</expan>.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> duas   lationes &longs;ertur.<emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Long&utilde;">Longum</expan> pondus difficilius fertur humero,   <expan abbr="qu&atilde;">quam</expan> brcue, vt &longs;it <expan abbr="p&otilde;dere">pondere</expan> &aelig;quale.<emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum   diametrum.<emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Machina quid.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum qu&aelig;dam per &longs;e, qu&aelig;dam-non per&longs;e mouentur.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machin&aelig; valenti&szlig;im&aelig; tres ex &longs;ententia   Hippocratis.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, &amp; diuer&longs;arum   compo&longs;itio ad&aelig;quat vnam, qu&aelig; tanta,   quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materi&aelig;.<emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machin&aelig; ad &aelig;dificia, &amp; ad bellum.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna qu&aelig;.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="l&otilde;gius">longius</expan> <expan abbr="manubri&utilde;">manubrium</expan> graui^{9} ferit.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;t&utilde;">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;tor&utilde;">in&longs;trumentorum</expan>.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes.<emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano &amp; <expan abbr="Fr&atilde;ci&longs;co">Franci&longs;co</expan> patricio.<emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta.<emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica qu&aelig; dici debeant.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid.<emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim   mathematica.<emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanic&aelig; artes vnde dict&aelig;.<emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophi&aelig;.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggre&szlig;ionem operis   quid con&longs;iderare debeat.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="greek">pa<gap/>adosopcioi\.</foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata.<emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit c&aelig;teras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum qu&ograve; vergit facile moue-<emph.end type="italics"/><pb/><emph type="italics"/>tur.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur.<emph.end type="italics"/></cell><cell>104.</cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;&aelig;pe magnam vim obti-net.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, &amp; &longs;ucce&szlig;iu&egrave;.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-min&utilde;">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>.<emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rect&atilde;">rectam</expan> <expan abbr="line&atilde;">lineam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non   habentibus <expan abbr="n&otilde;">non</expan> fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rect&atilde;">rectam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili &agrave; quibus pen-deat.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchr&aelig;.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra &agrave;   po&euml;ta.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus &agrave; Galeno.<emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, &amp; eundem &longs;copum habet.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, &amp; nauigationis pericula.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauig&yuml; Hieronis de&longs;criptio incredibi-lis.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, &amp; partes.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaic&aelig; magnitudo.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um.<emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuari&aelig; promotio.<emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as &agrave; quibus.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula &egrave; plumbo tenui &longs;upernatat   aqu&aelig;.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Naut&aelig; in procellis &longs;olo vtuntur dolone.<emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces &agrave; nucifrangibulo &longs;ine ictu facilius   franguntur, quam cum ictu.<emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifr&atilde;gibuli">Nucifrangibuli</expan> &amp; forcipis di&longs;tinctio.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum.<emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid.<emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheri&aelig; maior e&longs;t,   quam minoris.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Obeli&longs;cus quid.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;c^{9} Xy&longs;tiqualis &amp; <expan abbr="qu&atilde;tus">quantus</expan>.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, &amp; Christo   &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem   quinque, omnia difficillima.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum qu&aelig; ma-chin&aelig;, &amp; quot adhibit&aelig;.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;c&utilde;">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, &amp; &agrave; quibus perfect&aelig;.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D.   Fetri po&longs;iti Ichnographi&aelig;.<emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co &amp; Xy&longs;to V. Summ. Pont. &amp;   cruce Gulielmi Blanci <expan abbr="epigr&atilde;ma">epigramma</expan>.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="greek">*odonta/g<gap/>a *h)\o)donta/gw_gos</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="greek">*odonta/gw_gos</foreign> <emph type="italics"/><expan abbr="pl&utilde;beus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum vol&aelig; manus impo&longs;itum   frangitur manu ill&aelig;&longs;a.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="greek">*ou<gap/>ano/suopcs</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt   c&aelig;lum.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Palang a quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percu&szlig;io quid.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&szlig;io &agrave; quibus fit maior.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&szlig;ionis validiores cau&longs;&aelig;.<emph.end type="italics"/></cell><cell>128.129</cell></row><pb/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum,   findendum, frangendum, quatien-dum.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares &agrave; peripher&yuml;s in &longs;emi-diametros circulorum in&aelig;qualium   &aelig;quales auferunt &longs;egmenta &longs;emidia-metrorum in&aelig;qualia, quorum maius   e&longs;t quod &egrave; minori aufertur.<emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheri&aelig; maiores &agrave; punctis &agrave; centro   remotioribus de&longs;cribuntur.<emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum   difficilius mouentur.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangar&yuml; tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalang&yuml; ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx.<emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri a&euml;re pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non   e&longs;&longs;et aunexum.<emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="greek">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>&amp; canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, &amp; p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Luteti&aelig; ab Henrico 111. inchoatus   ab Henrico 1111. perficietur.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Pre&szlig;io porrecta.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri.<emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progre&szlig;io in animali vt fit.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens &agrave; mo-tore e&longs;t can&longs;a eorum lationis.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur   procul.<emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio &amp; C. L&aelig;lius colligentes cro-cas qu&aelig; dicerent.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid.<emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad   centrum, quam maior.<emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectiline&aelig; figur&aelig;, &amp; cubus difficulter   mouentur &longs;uper planum.<emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differenti&aelig;.<emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maxim&egrave; mouent na-uim.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis.<emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remig&utilde;">Remigum</expan> plus nauim promoueant.<emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum   lateris motum duobus motibus minus   &longs;paty conficit, quam latus ip&longs;um.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non &aelig;qualem <expan abbr="rect&atilde;">rectam</expan> tran&longs;it.<emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rot&aelig; bin&aelig; quaternis faciliores.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus   maiorese&longs;&longs;e debent.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rot&aelig; curruum maiores commodiores ad   facilitatem &amp; celeritatem.<emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus.<emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rot&utilde;dorum">Rotundorum</expan> motus accurata diui&longs;io.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri   parte poni debet.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt   magna.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, &amp; quotuplex.<emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytal&aelig; v&longs;us duplex.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb/><emph type="italics"/>quam &longs;uper curribus.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non   item.<emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum,   &amp; nequaquam in vnarecta.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentari&aelig; artes vtuntur &longs;e&szlig;ione &longs;ecu-ra.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Se&szlig;io propri&egrave; dista &amp; lat&egrave;<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Se&szlig;io cum &longs;ecuritate.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius.<emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="greek">*e*h/mwma</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra quale corpus.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra corpus e&longs;t mobili&szlig;imum &amp; mo-uenti&szlig;imum.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra contingit planum in puncto.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra Archimedis per &longs;e mobilis non   e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sph&aelig;ratop&aelig;ia pars e&longs;t mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stater&aelig; partes.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stater&aelig; v&longs;us.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non   v&longs;urpatur, &longs;ed libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult &aelig; &longs;unt libr&aelig;.<emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us.<emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stater&aelig; paruo &aelig;quipondio magna ponde-ra expendunt.<emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stater&aelig; dimidium e&longs;t an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis fact&aelig; de-mon&longs;tratio.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terr&aelig;.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio &amp; &longs;e&szlig;io propria <expan abbr="s&utilde;t">sunt</expan> homini.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="greek">*etata</foreign> <emph type="italics"/>qu&aelig;.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio &egrave; iacente indiget acutis angu-lis.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum   ex femore cum tibia, tum ex thor&aelig;ce   &amp; femore.<emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, &amp;   obtu&longs;os angulos.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam   laxa.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis.<emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo &agrave; Pythagoreis, &amp;   Platone.<emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus.<emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="greek">*qanmatou<gap/>gim*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis &agrave; problemate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid.<emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us.<emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum.<emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos   po&longs;tulant.<emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis.<emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed   lentius trahunt.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochle&aelig; du&aelig; legitim&egrave; compofit&aelig; magna   pondera adducunt.<emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Vectis quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes.<emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex.<emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram.<emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machin&aelig;   mult&aelig; &longs;imul.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid.<emph.end type="italics"/></cell><cell>92</cell></row><pb/><row><cell><emph type="italics"/>Veli&longs;pecies.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us,   obliquus.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio.<emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur.<emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aqu&aelig; e&longs;t linea &longs;piralis vnius, aut   plurium reuolutionum.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo &agrave; nautis vitentar.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t &amp; Loffoet.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt naut&aelig; &longs;e impe-<gap/>gi&longs;&longs;e.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare &agrave; Vortice.<emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> qu&ograve; feratur.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus   &longs;uis varietatem.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*zugo(s &amp; *zugo\n.</foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="greek">*zugosa/ths.</foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides.<emph.end type="italics"/></cell><cell>45</cell></row></table><p type="head"> <s>INDEX MEMOR ABILIVM <lb/>IN MECHANICIS ARISTOTELIS <lb/>&amp; eorum Commentarijs.<lb/><arrow.to.target n="table1"/><!-- KEEP S--></s></p><table><table.target id="table1"/><row><cell><emph type="italics"/>A<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/><foreign lang="greek">*abuasos vnde.</foreign> pag.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Ab&longs;is pro circunferen-tia rot&aelig;.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>Acatium ante naues.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Actiones manuum in   opi&longs;ic&ydot;s egent &longs;tatione, vel &longs;ebione   tant&ugrave;m<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Admiratio quid.<emph.end type="italics"/></cell><cell>4.5</cell></row><row><cell><emph type="italics"/>Agricultur&aelig; nece&longs;&longs;aria.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>&AElig;des rotunda mirifica.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>&AElig;dificium durabile rect&agrave; in&longs;i&longs;tit.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>&AElig;olus primus v&longs;us velis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>&AElig;quale e&longs;t cau&longs;a quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>&AElig;quilibrium in ponder atione.<emph.end type="italics"/></cell><cell>149</cell></row><row><cell><foreign lang="greek">*alou<gap/>gopw/lai</foreign> <emph type="italics"/>qui.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Ambulare pronum conuenit brutis.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Angulus rectus e&longs;t angubus &aelig;qualitatis,   ide&oacute;que quietis.<emph.end type="italics"/></cell><cell>193.196</cell></row><row><cell><emph type="italics"/>Ad angulos rectos omnia&aelig; <expan abbr="quit&longs;c&utilde;t">quit&longs;cunt</expan>.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Antemna quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antemn&aelig; motio.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Antiperi&longs;ta&longs;is med&yuml; confert ad motum   proiecti.<emph.end type="italics"/></cell><cell>203</cell></row><row><cell><emph type="italics"/>Antiphonis dictum, cum iret ad &longs;uppli-cium.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Antiphonis ver&longs;us de natura &amp; arte.<emph.end type="italics"/></cell><cell>8. 12</cell></row><row><cell><emph type="italics"/>Arbores, &amp; plant&aelig; in&longs;i&longs;lunt plane terr&aelig;   ad rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Archelairegis factum in edip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Archimedeum problema, datum pondus   data potentia mouere.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Archimedis factum Mechanicum.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Architecture&aelig; tres partes.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Argo prima nauis.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Ari&longs;toteles reprehen&longs;us &agrave; Nonio.<emph.end type="italics"/></cell><cell>84</cell></row><row><cell><emph type="italics"/>Ars &longs;lectit naturam, &amp; ad alium &longs;co-pum vertit.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Ars e&longs;t admirationis plen&aelig;.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artis, &amp; natur&aelig; differentia.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Artium diui&longs;io in liberales, &amp; &longs;ordi-das.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes liberales.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes pueriles.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes magn&aelig;.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Artes imperantes.<emph.end type="italics"/></cell><cell>3.4</cell></row><row><cell><emph type="italics"/>Artes architectonic&aelig;.<emph.end type="italics"/></cell><cell>3</cell></row><row><cell><emph type="italics"/>Ars Typographica nihil e&longs;&longs;et &longs;ine co-chlea.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>A&longs;inus, &amp; aues longo collo vident c&oelig;-lum, vt homo.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Axis in peritrochio.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><foreign lang="greek">*au<gap/>/mata.</foreign></cell><cell>10</cell></row><row><cell><emph type="italics"/>B<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Baiulus cum &longs;uo onere e&longs;t turbo, vel   conus inuer&longs;us.<emph.end type="italics"/></cell><cell>199.200</cell></row><row><cell><emph type="italics"/>Baiuli Pari&longs;ien&longs;es facile ferunt ingentia   pondera.<emph.end type="italics"/></cell><cell>198.199</cell></row><row><cell><emph type="italics"/>Baiuli cum onere tut&ograve; a&longs;cendunt, pericu-los&egrave; de&longs;cendunt.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>B. Feratinus Amerinus <expan abbr="c&atilde;cellari&aelig;">cancellari&aelig;</expan> Apo-&longs;tolic&aelig; regens con&longs;ecrat, &amp; compreca-tur multa &longs;uper crucem apici obeli&longs;ci   imponendam.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Bombi tormentorum multi editi &longs;tatim   atque crux impo&longs;ita fuit apici obe-li&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><pb/><row><cell><emph type="italics"/>Bouilli error, qui put abat rectam iuuen-tam equalem peripheri&aelig; ex circuli   &longs;uper planum reuolutione.<emph.end type="italics"/></cell><cell>174</cell></row><row><cell><emph type="italics"/>Boues ad <expan abbr="aratr&utilde;">aratrum</expan> pariter &longs;ubiugandi.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bo&uuml;m in iugo imbecillior &longs;ubleuari po-te&longs;t.<emph.end type="italics"/></cell><cell>192</cell></row><row><cell><emph type="italics"/>Bruta ventrem ad terram conuer&longs;um   habent.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Bruti&longs;pina pedib^{9} ad rectos imminet.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nihil admir atur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Bruta nonnulla apta <expan abbr="fer&etilde;dis">ferendis</expan> &longs;arcinis.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Brutum nullum pote&longs;t &longs;edere.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>C<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*ka/<gap/>ar</foreign> <emph type="italics"/>in fund a quid &longs;it.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Calli&aelig; Rhodien&longs;is factum <expan abbr="mechanic&utilde;">mechanicum</expan>.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Cardanus reprehen&longs;us &agrave; Scaligero.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Cardanus ob&longs;cur&egrave; &amp; imper&longs;ect&egrave;: inge-nios&egrave; tamen&longs;crip&longs;it.<emph.end type="italics"/></cell><cell>180</cell></row><row><cell><emph type="italics"/>Carche&longs;ium quid.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Cathelina mu&longs;ca Rhemen&longs;ibus dicta e&longs;t   <expan abbr="ex&etilde;plar">exemplar</expan> puncti duabus lationibus eo-dem tempore moti.<emph.end type="italics"/></cell><cell>32.33</cell></row><row><cell><emph type="italics"/>Cauda e&longs;t omnipi&longs;ci progubernaculo.<emph.end type="italics"/></cell><cell>77</cell></row><row><cell><emph type="italics"/>Celeritas duplex.<emph.end type="italics"/></cell><cell>27</cell></row><row><cell><emph type="italics"/>Centrobarica pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Cercopithecus proxime accedit ad figu-ram hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopithecus, &amp; &longs;imia e&longs;t ridicula ho-minis imitatio.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci manus differt ab hominis   manu.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Cercopitheci pollex non e&longs;t <foreign lang="greek">a)ntixeir,</foreign> vt   in manu hominis.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>Centrum duorum circulorum connexo-rum non e&longs;t idem.<emph.end type="italics"/></cell><cell>173</cell></row><row><cell><emph type="italics"/>Chirurgi togati nolunt dentes cuellere,   licet&longs;u operatio chirurgica.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Circini author D&aelig;dalus.<emph.end type="italics"/></cell><cell>17</cell></row><row><cell><emph type="italics"/>Circulus e&longs;t <expan abbr="principi&utilde;">principium</expan> omnium virium,   qu&aelig;&longs;unt in machinis motricibus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus admirabili&szlig;imus.<emph.end type="italics"/></cell><cell>15</cell></row><row><cell><emph type="italics"/>Circulus habet in &longs;e quinque repugnan-tias.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Circulus &longs;ecit miracula in templis paga-norum.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Circulus ante, &amp; pone mouetur &longs;imul.<emph.end type="italics"/></cell><cell>20.21</cell></row><row><cell><emph type="italics"/>Circulus maior ad minorem &longs;emper nu-tum habet.<emph.end type="italics"/></cell><cell>106</cell></row><row><cell><emph type="italics"/>Circuli nutus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli qua&longs;i motus e&longs;t perpetuus.<emph.end type="italics"/></cell><cell>107</cell></row><row><cell><emph type="italics"/>Circuli minores infiniti &longs;unt in maiore   circulo.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Circuli maiores &longs;unt mouentiores.<emph.end type="italics"/></cell><cell>109</cell></row><row><cell><emph type="italics"/>Circulus <expan abbr="c&otilde;tingit">contingit</expan> <expan abbr="plan&utilde;">planum</expan> in vno <expan abbr="p&utilde;cto">puncto</expan>.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Circuli maioris minor e&longs;t angulus conta-ctus quam minoris.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Circulus maior cum minore per &aelig;qualem   orbitam reuoluitur &amp; contra.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Circuli <expan abbr="c&otilde;centrici">concentrici</expan> in&aelig;quales iuncti &aelig;qua-lem orbitam <expan abbr="percurr&utilde;t">percurrunt</expan>.<emph.end type="italics"/></cell><cell>166.167.174</cell></row><row><cell><emph type="italics"/>Circuli maioris motus &longs;ecundum natu-ram maior e&longs;t quam minoris.<emph.end type="italics"/></cell><cell>43</cell></row><row><cell><emph type="italics"/>in Circulo in&longs;criptas &longs;i &longs;ecet recta ad re-ctos ab&longs;ci&longs;&longs;a exdiametro erit maxima   &amp; <gap/>pinquior remotiore maior.<emph.end type="italics"/></cell><cell>68.69</cell></row><row><cell><emph type="italics"/>Circulum minorem qui datum maiorem   interius tangat de&longs;cribere.<emph.end type="italics"/></cell><cell>41</cell></row><row><cell><emph type="italics"/>C&oelig;li motus unde.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>C&oelig;lum videre quid apud <expan abbr="Platon&etilde;">Platonem</expan>.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/><expan abbr="Col&utilde;ba">Columba</expan> volans Acchit&aelig; <expan abbr="n&otilde;">non</expan> e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Contraria qu&aelig; &longs;int ver&egrave;.<emph.end type="italics"/></cell><cell>18</cell></row><row><cell><emph type="italics"/>Commotum facilius mouetur, quam   quie&longs;cens.<emph.end type="italics"/></cell><cell>199</cell></row><row><cell><emph type="italics"/>Connexum &amp; concauum non &longs;unt con-traria.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Cochlea quid.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochle&aelig; effecta.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea magnes vires habet.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochlea infinita.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>Cochle&aelig; Ari&longs;toteles non meminit.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cochlea e&longs;t cuneus multiplicatus, vel   vnus cuneus continuatus.<emph.end type="italics"/></cell><cell>131</cell></row><row><cell><emph type="italics"/>Cuneus e&longs;t vectu duplicatus.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Cuneum vicem gerere duorum vectium   demon&longs;tratio linearis.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Cuneus quid.<emph.end type="italics"/></cell><cell>126</cell></row><row><cell><emph type="italics"/>Cunci v&longs;us.<emph.end type="italics"/></cell><cell>127</cell></row><pb/><row><cell><emph type="italics"/>Cuneimagna vis.<emph.end type="italics"/></cell><cell>127.127</cell></row><row><cell><emph type="italics"/>Cuneo magn&aelig; moles diuiduntur.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Croc&aelig; Ari&longs;toteliquid.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Croc&aelig; rotund&aelig;.<emph.end type="italics"/></cell><cell>122.123</cell></row><row><cell><emph type="italics"/>Cubus &longs;tabili&szlig;ima figurarum.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Currus iam commotus facilius moue-tur.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>D<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>D&aelig;dali &longs;tatu&aelig;liber&aelig;, &amp; ligat&aelig;.<emph.end type="italics"/></cell><cell>25</cell></row><row><cell><emph type="italics"/>Decubitus &longs;anorum in lecto.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Dens corro&longs;us eximidebet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens non temere eximi debet.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dens forcipe facilius, quam manu euelli-tur.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Dentiducus quid.<emph.end type="italics"/></cell><cell>132</cell></row><row><cell><emph type="italics"/><expan abbr="D&etilde;tes">Dentes</expan> <expan abbr="animali&utilde;">animalium</expan> inci&longs;or&yuml; &longs;unt cunei.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Dens priu&longs;quam eximatur duo fieri po-&longs;tulat.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Dentis euellendi differentia &agrave; clauo in-fixo.<emph.end type="italics"/></cell><cell>154</cell></row><row><cell><emph type="italics"/>Deusnon admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Diaconus &longs;acris ve&longs;tibus indutus imponit   crucem apici obeli&longs;ci.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Diameter circuli, &amp; Sph&aelig;r&aelig; in&longs;i&longs;tit   plano ad rectos.<emph.end type="italics"/></cell><cell>105</cell></row><row><cell><emph type="italics"/>Diametri ad peripheriam qu&aelig;ratio.<emph.end type="italics"/></cell><cell>32</cell></row><row><cell><emph type="italics"/>Dies impo&longs;it&aelig; crucis obeli&longs;co.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Dolabra e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><emph type="italics"/>Dominicus Fontana machinator in&longs;i-gnis.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Dominici Fontan&aelig; triumphus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Domus integra &agrave; &longs;undamentis &longs;ublata,   &amp; ali&ograve; tran&longs;lata.<emph.end type="italics"/></cell><cell>133</cell></row><row><cell><emph type="italics"/>E<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Elementa quie&longs;icunt adrectos angu-los &longs;ita.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>En&longs;is e&longs;t cuneus.<emph.end type="italics"/></cell><cell>130</cell></row><row><cell><foreign lang="greek">*epipo/laia</foreign> <emph type="italics"/>vis qu&aelig;.<emph.end type="italics"/></cell><cell>201.202</cell></row><row><cell><emph type="italics"/>Equus Troianus machina er at.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Ergat a quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Ergat&aelig;, &amp; &longs;uccul&aelig; di&longs;tinctio.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Ergatam collopes maiores minoribus fa-cilius mouent.<emph.end type="italics"/></cell><cell>118.119</cell></row><row><cell><emph type="italics"/>Exercitium militum in exercitu ferian-tium.<emph.end type="italics"/></cell><cell>125</cell></row><row><cell><emph type="italics"/>Exigua qu&aelig;.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>F<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Fabrilis ars certitudine vincit c&aelig;te-ras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Figura hominis <expan abbr="dec&utilde;bentis">decumbentis</expan> exirema.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Figura <expan abbr="corpor&utilde;iuuat">corporuniuuat</expan>, velimpedit mul-tum corum inclinationes, &amp; natura-les impetus.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Figura decubitus humida, &longs;eu medi&aelig;   qu&aelig;.<emph.end type="italics"/></cell><cell>176</cell></row><row><cell><emph type="italics"/>Forceps, &amp; forfex quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Fortuna in&longs;i&longs;tit Sphar&aelig;.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Funda quid.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda inuentum Ph&aelig;nicuno.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Fund&aelig; v&longs;us.<emph.end type="italics"/></cell><cell>116.117</cell></row><row><cell><emph type="italics"/>Fund&aelig; cur Balearis.<emph.end type="italics"/></cell><cell>116</cell></row><row><cell><emph type="italics"/>Funda longius pro&yuml;cit, quam manus.<emph.end type="italics"/></cell><cell>115.117</cell></row><row><cell><emph type="italics"/>Fundaiacit lapidem &amp; plumbum.<emph.end type="italics"/></cell><cell>117</cell></row><row><cell><emph type="italics"/>Fu&longs;tis ad genu fractus non l&aelig;dit.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>Fu&longs;tis duobus cyphis impo&longs;itus frangitur   &longs;ine cyphorum fractione &amp; aqu&aelig; effu-&longs;ione.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><emph type="italics"/>G<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Georgij Lhuller&yuml; machina.<emph.end type="italics"/></cell><cell>137.138</cell></row><row><cell><emph type="italics"/>Gubernaculum &amp; eius partes.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Gubernaculi &amp; remi differentia.<emph.end type="italics"/></cell><cell>76</cell></row><row><cell><emph type="italics"/>Gubernaculi magna vis in nauis motio-ne.<emph.end type="italics"/></cell><cell>71.72</cell></row><row><cell><emph type="italics"/>Gyraphi &longs;oli crura po&longs;teriora prioribus   breuiora habent.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>H<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Ha&longs;t&aelig; ferrum e&longs;t cuneus.<emph.end type="italics"/></cell><cell>190</cell></row><row><cell><emph type="italics"/>Hominem quie&longs;cere, &longs;edare, &longs;urge-re, &longs;tare, ambulare, currere e&longs;t ex v&longs;u   Geometri&aelig;,<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Hominis quies e&longs;t per rectos angulos.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Hominis ambulatio, &amp; progre&longs;sio, vs   fiat.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Homo <expan abbr="n&otilde;">non</expan> &longs;tatrectus, vt <expan abbr="c&aelig;l&utilde;">c&aelig;lum</expan> videus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo vnde factus Mechanicus.<emph.end type="italics"/></cell><cell>7.8</cell></row><row><cell><emph type="italics"/>Homo &longs;olus admiratur.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Homo &longs;olus artifex.<emph.end type="italics"/></cell><cell>194</cell></row><pb/><row><cell><emph type="italics"/>Homo &longs;oius &longs;edere pote&longs;t.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Homo magnus &amp; paruuus quis.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Homines duo ferentes pondus cum perti-ca, &longs;i pondus non e&longs;t in eius medio, non   &aelig;qualiter premuntur.<emph.end type="italics"/></cell><cell>190.191</cell></row><row><cell><emph type="italics"/>Horologia nostritemporis veterum cle-p&longs;ydras, &amp; gnemones antecellunt.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Plorologium Argentorati <expan abbr="magni&longs;ic&utilde;">magni&longs;icum</expan>.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Humero dextro onera difficilius ferun-tur, quam &longs;ini&longs;tro.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Hypomochlium quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>I<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Iaccre &longs;upinum quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>lacere pronum.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Jacere &longs;upinum &amp; pronum commune   e&longs;t multis anim antibus.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Joannis iucundi problema.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>L<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Lancea <expan abbr="perp&etilde;dicularis">perpendicularis</expan> facilius fer-tur, quam obliquata.<emph.end type="italics"/></cell><cell>185</cell></row><row><cell><emph type="italics"/>Lecti lateribus cur fiunt dupli.<emph.end type="italics"/></cell><cell>175</cell></row><row><cell><emph type="italics"/>Libra maior e&longs;t exactior minore.<emph.end type="italics"/></cell><cell>27.44.   45</cell></row><row><cell><emph type="italics"/>Libr&aelig; finis.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Libr&aelig;partes.<emph.end type="italics"/></cell><cell>45.46</cell></row><row><cell><emph type="italics"/>Libr&aelig;fallaci&aelig;.<emph.end type="italics"/></cell><cell>46.47</cell></row><row><cell><emph type="italics"/>Libr&aelig; valde exigua examinantis fabri-ca.<emph.end type="italics"/></cell><cell>47</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ab&longs;q;">ab&longs;que</expan> <expan abbr="p&otilde;dere">pondere</expan> facilius mouetur.<emph.end type="italics"/></cell><cell>112</cell></row><row><cell><emph type="italics"/>Librilis brachia vt <expan abbr="mane&atilde;t">maneant</expan>, aut redeant   ad <expan abbr="&aelig;quilibri&utilde;">&aelig;quilibrium</expan> &longs;ublatis <expan abbr="p&otilde;deril^{9}">ponderil^{9}</expan>.<emph.end type="italics"/></cell><cell>49.50</cell></row><row><cell><emph type="italics"/>Librile <expan abbr="ligne&utilde;">ligneum</expan> facili^{9} mouetur ferreo.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Lignalongiora &longs;unt imbecilliora.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Ligna longa ab extremo difficilius <expan abbr="fcr&utilde;-tur">fcrun-tur</expan> bumere, quam &agrave; medio.<emph.end type="italics"/></cell><cell>183.184</cell></row><row><cell><emph type="italics"/>Lignum vt &egrave; genu facilius <expan abbr="fr&atilde;gatur">frangatur</expan>.<emph.end type="italics"/></cell><cell>121</cell></row><row><cell><emph type="italics"/>Linea de&longs;cribens circulum <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> duas   lationes &longs;ertur.<emph.end type="italics"/></cell><cell>28.34</cell></row><row><cell><emph type="italics"/><expan abbr="Long&utilde;">Longum</expan> pondus difficilius fertur humero,   <expan abbr="qu&atilde;">quam</expan> brcue, vt &longs;it <expan abbr="p&otilde;dere">pondere</expan> &aelig;quale.<emph.end type="italics"/></cell><cell>186.187</cell></row><row><cell><emph type="italics"/>Lorain lectis extenduntur non &longs;ecundum   diametrum.<emph.end type="italics"/></cell><cell>175.177</cell></row><row><cell><emph type="italics"/>M<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Machina quid.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Machinarum qu&aelig;dam per &longs;e, qu&aelig;dam-non per&longs;e mouentur.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Machin&aelig; valenti&szlig;im&aelig; tres ex &longs;ententia   Hippocratis.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Machinarum pluribus, &amp; diuer&longs;arum   compo&longs;itio ad&aelig;quat vnam, qu&aelig; tanta,   quanta opus e&longs;&longs;et fierinon pote&longs;t, pro-pter defectum materi&aelig;.<emph.end type="italics"/></cell><cell>138.139</cell></row><row><cell><emph type="italics"/>Machin&aelig; ad &aelig;dificia, &amp; ad bellum.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>in Machinis faciendis lex ob&longs;eruanda.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Magnetis vis.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Magna qu&aelig;.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Malus nauis.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mali pterna.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Mallei <expan abbr="l&otilde;gius">longius</expan> <expan abbr="manubri&utilde;">manubrium</expan> graui^{9} ferit.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Manganaria pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Manus e&longs;t <expan abbr="in&longs;trum&etilde;t&utilde;">in&longs;trumentum</expan> <expan abbr="in&longs;trum&etilde;tor&utilde;">in&longs;trumentorum</expan>.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Manus tres partes.<emph.end type="italics"/></cell><cell>118</cell></row><row><cell><emph type="italics"/>Mechanica cur non e&longs;&longs;e Aristotelis vi-&longs;um &longs;it Cardano &amp; <expan abbr="Fr&atilde;ci&longs;co">Franci&longs;co</expan> patricio.<emph.end type="italics"/></cell><cell>1</cell></row><row><cell><emph type="italics"/>Mechanica &longs;unt Aristotelis.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanicorum diui&longs;io.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanica vnde dicta.<emph.end type="italics"/></cell><cell>2.11</cell></row><row><cell><emph type="italics"/>Mechanica qu&aelig; dici debeant.<emph.end type="italics"/></cell><cell>2</cell></row><row><cell><emph type="italics"/>Mechanice quid.<emph.end type="italics"/></cell><cell>8.9</cell></row><row><cell><emph type="italics"/>Mechanice partim e&longs;t phy&longs;ica, partim   mathematica.<emph.end type="italics"/></cell><cell>4.12.13</cell></row><row><cell><emph type="italics"/>Mechanic&aelig; artes vnde dict&aelig;.<emph.end type="italics"/></cell><cell>2.3</cell></row><row><cell><emph type="italics"/>Mechanice pars e&longs;t philo&longs;ophi&aelig;.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanices finis.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Mechanicus ante aggre&szlig;ionem operis   quid con&longs;iderare debeat.<emph.end type="italics"/></cell><cell>13</cell></row><row><cell><emph type="italics"/>Mechanice dicendi<emph.end type="italics"/> <foreign lang="greek">pa<gap/>adosopcioi\.</foreign></cell><cell>12</cell></row><row><cell><emph type="italics"/>laus Mechanicorum.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Mens e&longs;t ars artium.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Men&longs;ura rei cuiu&longs;que debet e&longs;&longs;e deter-minata.<emph.end type="italics"/></cell><cell>44</cell></row><row><cell><emph type="italics"/>Mercatura opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Mercurius in&longs;istit cubo.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Milij grana non &longs;unt &longs;impliciter exigua.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Militaris ars vtilitate vincit c&aelig;teras.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Milo cuneum contemnens peryt.<emph.end type="italics"/></cell><cell>127</cell></row><row><cell><emph type="italics"/>Mobile motum qu&ograve; vergit facile moue-<emph.end type="italics"/><pb/><emph type="italics"/>tur.<emph.end type="italics"/></cell><cell>103</cell></row><row><cell><emph type="italics"/>Mobilis primi velocitas vt intelligatur.<emph.end type="italics"/></cell><cell>104.</cell></row><row><cell><emph type="italics"/>Mobilis primi motus e&longs;t men&longs;ura alio-rum motuum.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mobile latius mouetur difficilius.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Moles exigua &longs;&aelig;pe magnam vim obti-net.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Motus fit in tempore, &amp; &longs;ucce&szlig;iu&egrave;.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>Motus minimus quis.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mota duobus motibus ad eundem <expan abbr="ter-min&utilde;">ter-minum</expan> <expan abbr="tend&etilde;tibus">tendentibus</expan> celerius <expan abbr="mou&etilde;tur">mouentur</expan>.<emph.end type="italics"/></cell><cell>163</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem ha-bentibus fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rect&atilde;">rectam</expan> <expan abbr="line&atilde;">lineam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motum duabus lationibus rationem non   habentibus <expan abbr="n&otilde;">non</expan> fertur <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="rect&atilde;">rectam</expan>.<emph.end type="italics"/></cell><cell>30</cell></row><row><cell><emph type="italics"/>Motus circularis omnium machinatio-num principia continet.<emph.end type="italics"/></cell><cell>60</cell></row><row><cell><emph type="italics"/>Motus difficultas in mobili &agrave; quibus pen-deat.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Mulier parua non e&longs;t pulchr&aelig;.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Mundus nutans non vere dici de terra &agrave;   po&euml;ta.<emph.end type="italics"/></cell><cell>104</cell></row><row><cell><emph type="italics"/>Mu&longs;culus vecti comparatus &agrave; Galeno.<emph.end type="italics"/></cell><cell>56</cell></row><row><cell><emph type="italics"/>N<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Natura <expan abbr="eod&etilde;">eodem</expan> modo &longs;emper opera-tur, &amp; eundem &longs;copum habet.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>Natura re&longs;i&longs;tit arti in multis.<emph.end type="italics"/></cell><cell>8</cell></row><row><cell><emph type="italics"/>Nauigandi ars admirabilis ob &longs;ubtilita-tem, &amp; nauigationis pericula.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauig&yuml; Hieronis de&longs;criptio incredibi-lis.<emph.end type="italics"/></cell><cell>73</cell></row><row><cell><emph type="italics"/>Nauis quid, &amp; partes.<emph.end type="italics"/></cell><cell>62</cell></row><row><cell><emph type="italics"/>Nauis Ptolemaic&aelig; magnitudo.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauis iam mota &longs;acilius mouetur.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Nauis plus vehitur antror&longs;um, quam re-mi palmula retror&longs;um.<emph.end type="italics"/></cell><cell>80</cell></row><row><cell><emph type="italics"/>Nauis actuari&aelig; promotio.<emph.end type="italics"/></cell><cell>69</cell></row><row><cell><emph type="italics"/>Nauis velocit as &agrave; quibus.<emph.end type="italics"/></cell><cell>93</cell></row><row><cell><emph type="italics"/>Nauium &longs;pecies.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Nauicula &egrave; plumbo tenui &longs;upernatat   aqu&aelig;.<emph.end type="italics"/></cell><cell>164</cell></row><row><cell><emph type="italics"/>Naut&aelig; in procellis &longs;olo vtuntur dolone.<emph.end type="italics"/></cell><cell>94</cell></row><row><cell><emph type="italics"/>Nautica ars opulenta.<emph.end type="italics"/></cell><cell>4</cell></row><row><cell><emph type="italics"/>Nuces &agrave; nucifrangibulo &longs;ine ictu facilius   franguntur, quam cum ictu.<emph.end type="italics"/></cell><cell>155.156</cell></row><row><cell><emph type="italics"/><expan abbr="Nucifr&atilde;gibuli">Nucifrangibuli</expan> &amp; forcipis di&longs;tinctio.<emph.end type="italics"/></cell><cell>156</cell></row><row><cell><emph type="italics"/>Nucifrangibulum ferreum facilius nu-cem frangit, quam ligneum.<emph.end type="italics"/></cell><cell>167</cell></row><row><cell><emph type="italics"/>Nutus quid.<emph.end type="italics"/></cell><cell>104.108</cell></row><row><cell><emph type="italics"/>Nutus quotuplex.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>Nutus maioris peripheri&aelig; maior e&longs;t,   quam minoris.<emph.end type="italics"/></cell><cell>108</cell></row><row><cell><emph type="italics"/>O<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Obeli&longs;cus quid.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;c^{9} Xy&longs;tiqualis &amp; <expan abbr="qu&atilde;tus">quantus</expan>.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus Xy&longs;ti cuiprimo &longs;acer.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>Obeli&longs;cus vbi&longs;itus erat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>quid Obeli&longs;cus tran&longs;latus, &amp; Christo   &longs;acer cum cruce &longs;uper apice &longs;uo impo&longs;i-ta Christianis &longs;ignificat.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>molimina circa Obeli&longs;ci tran&longs;lationem   quinque, omnia difficillima.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>ad Obeli&longs;cum transferendum qu&aelig; ma-chin&aelig;, &amp; quot adhibit&aelig;.<emph.end type="italics"/></cell><cell>140</cell></row><row><cell><emph type="italics"/>circa <expan abbr="Obeli&longs;c&utilde;">Obeli&longs;cum</expan> molitiones quiuque, quo-modo, &amp; &agrave; quibus perfect&aelig;.<emph.end type="italics"/></cell><cell>141</cell></row><row><cell><emph type="italics"/>Obeli&longs;ci in area V aticani ante portam D.   Fetri po&longs;iti Ichnographi&aelig;.<emph.end type="italics"/></cell><cell>143</cell></row><row><cell><emph type="italics"/>de Obeli&longs;co &amp; Xy&longs;to V. Summ. Pont. &amp;   cruce Gulielmi Blanci <expan abbr="epigr&atilde;ma">epigramma</expan>.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><foreign lang="greek">*odonta/g<gap/>a *h)\o)donta/gw_gos</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><foreign lang="greek">*odonta/gw_gos</foreign> <emph type="italics"/><expan abbr="pl&utilde;beus">plumbeus</expan> in <expan abbr="t&etilde;plo">templo</expan> Apol-linis Delphici quid &longs;ignificabat.<emph.end type="italics"/></cell><cell>153</cell></row><row><cell><emph type="italics"/>Ovos quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Os arietinum vol&aelig; manus impo&longs;itum   frangitur manu ill&aelig;&longs;a.<emph.end type="italics"/></cell><cell>122</cell></row><row><cell><foreign lang="greek">*ou<gap/>ano/suopcs</foreign> <emph type="italics"/>pi&longs;cis velit nolio videt   c&aelig;lum.<emph.end type="italics"/></cell><cell>195</cell></row><row><cell><emph type="italics"/>P<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Palang a quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Pedem facere.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><emph type="italics"/>Pente&longs;paston.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Percu&szlig;io quid.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&longs;sionis duo modi.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&szlig;io &agrave; quibus fit maior.<emph.end type="italics"/></cell><cell>128</cell></row><row><cell><emph type="italics"/>Percu&szlig;ionis validiores cau&longs;&aelig;.<emph.end type="italics"/></cell><cell>128.129</cell></row><pb/><row><cell><emph type="italics"/>Percu&longs;sionis magna vis ad mouendum,   findendum, frangendum, quatien-dum.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Perpendiculares &agrave; peripher&yuml;s in &longs;emi-diametros circulorum in&aelig;qualium   &aelig;quales auferunt &longs;egmenta &longs;emidia-metrorum in&aelig;qualia, quorum maius   e&longs;t quod &egrave; minori aufertur.<emph.end type="italics"/></cell><cell>40</cell></row><row><cell><emph type="italics"/>Peripheri&aelig; maiores &agrave; punctis &agrave; centro   remotioribus de&longs;cribuntur.<emph.end type="italics"/></cell><cell>23</cell></row><row><cell><emph type="italics"/>Petorita Gallorum petoritis Polonorum   difficilius mouentur.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Phalanga quid.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangary qui.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalangar&yuml; tetraphori, hexaphori.<emph.end type="italics"/></cell><cell>191</cell></row><row><cell><emph type="italics"/>Phalang&yuml; ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Phalanx.<emph.end type="italics"/></cell><cell>146</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia principium duxit ab admi-ratione.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Philo&longs;ophia e&longs;t ars generalis omnibus fa-ciendorum difficultatibus &longs;uccurrens.<emph.end type="italics"/></cell><cell>9</cell></row><row><cell><emph type="italics"/>Philo&longs;ophandi, vt admirandi &longs;emper oc-ca&longs;io erit.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><emph type="italics"/>Plumbum vtri a&euml;re pleno annexum tar-dius de&longs;cendit in aquim, quam &longs;i non   e&longs;&longs;et aunexum.<emph.end type="italics"/></cell><cell>170</cell></row><row><cell><foreign lang="greek">*go/da e)<gap/>ei_n,</foreign> <emph type="italics"/>&amp; canere quid.<emph.end type="italics"/></cell><cell>95</cell></row><row><cell><foreign lang="greek">*go/des, &amp; p<gap/>o/podes.</foreign></cell><cell>96</cell></row><row><cell><foreign lang="greek">*golio<gap/>uitiu*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><foreign lang="greek">*golu/w<gap/>ason.</foreign></cell><cell>111. 134</cell></row><row><cell><emph type="italics"/>Pons Luteti&aelig; ab Henrico 111. inchoatus   ab Henrico 1111. perficietur.<emph.end type="italics"/></cell><cell>120</cell></row><row><cell><emph type="italics"/>Pre&szlig;io porrecta.<emph.end type="italics"/></cell><cell>14</cell></row><row><cell><emph type="italics"/>Problema difficillimum totius libri.<emph.end type="italics"/></cell><cell>166</cell></row><row><cell><emph type="italics"/>Problematis a theoremate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Progre&szlig;io in animali vt fit.<emph.end type="italics"/></cell><cell>187</cell></row><row><cell><emph type="italics"/>Proiecta cur moueri de&longs;inunt.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>in Proiectis impre&longs;&longs;a vis impellens &agrave; mo-tore e&longs;t can&longs;a eorum lationis.<emph.end type="italics"/></cell><cell>201</cell></row><row><cell><emph type="italics"/>Proiecta nec exigua nec magna &longs;eruntur   procul.<emph.end type="italics"/></cell><cell>203.205</cell></row><row><cell><emph type="italics"/>Publ. Scipio &amp; C. L&aelig;lius colligentes cro-cas qu&aelig; dicerent.<emph.end type="italics"/></cell><cell>123</cell></row><row><cell><emph type="italics"/>Purpura quid.<emph.end type="italics"/></cell><cell>47.48</cell></row><row><cell><emph type="italics"/>Q<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Qvie&longs;cens vim motoris diminuit.<emph.end type="italics"/></cell><cell>200</cell></row><row><cell><emph type="italics"/>R<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Radius minor plus retrahitur ad   centrum, quam maior.<emph.end type="italics"/></cell><cell>38.39</cell></row><row><cell><emph type="italics"/>Rectiline&aelig; figur&aelig;, &amp; cubus difficulter   mouentur &longs;uper planum.<emph.end type="italics"/></cell><cell>102</cell></row><row><cell><emph type="italics"/>Remus quid.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remiges qui.<emph.end type="italics"/></cell><cell>63</cell></row><row><cell><emph type="italics"/>Remigum differenti&aelig;.<emph.end type="italics"/></cell><cell>64</cell></row><row><cell><emph type="italics"/>Remiges me&longs;onei maxim&egrave; mouent na-uim.<emph.end type="italics"/></cell><cell>61</cell></row><row><cell><emph type="italics"/>Remi digitis manuum comparati.<emph.end type="italics"/></cell><cell>65</cell></row><row><cell><emph type="italics"/>Remus vt plurimum maris diuidit.<emph.end type="italics"/></cell><cell>71</cell></row><row><cell><emph type="italics"/>de Remi motione comparata ad motio-nem nauis.<emph.end type="italics"/></cell><cell>84.85.86.87.88.89</cell></row><row><cell><emph type="italics"/>qui <expan abbr="Remig&utilde;">Remigum</expan> plus nauim promoueant.<emph.end type="italics"/></cell><cell>68</cell></row><row><cell><emph type="italics"/>in Rhombo punctum vnum extremum   lateris motum duobus motibus minus   &longs;paty conficit, quam latus ip&longs;um.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rhombus con&longs;tituitur cuius angulus acu-tus e&longs;t dimidio obtu&longs;i minor.<emph.end type="italics"/></cell><cell>161</cell></row><row><cell><emph type="italics"/>in Rhombo alterum punctorum extre-morum non &aelig;qualem <expan abbr="rect&atilde;">rectam</expan> tran&longs;it.<emph.end type="italics"/></cell><cell>157</cell></row><row><cell><emph type="italics"/>Rhombus quid.<emph.end type="italics"/></cell><cell>159</cell></row><row><cell><emph type="italics"/>Rot&aelig; bin&aelig; quaternis faciliores.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>in Rotis quaternis po&longs;teriores prioribus   maiorese&longs;&longs;e debent.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Rot&aelig; curruum maiores commodiores ad   facilitatem &amp; celeritatem.<emph.end type="italics"/></cell><cell>110</cell></row><row><cell><emph type="italics"/>Rotunda figura difficulter patitur.<emph.end type="italics"/></cell><cell>124</cell></row><row><cell><emph type="italics"/>Rotunda maiora facilius mouentur mi-noribus.<emph.end type="italics"/></cell><cell>99.100</cell></row><row><cell><emph type="italics"/><expan abbr="Rot&utilde;dorum">Rotundorum</expan> motus accurata diui&longs;io.<emph.end type="italics"/></cell><cell>100</cell></row><row><cell><emph type="italics"/>S<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Sarcina maior in anteriore plaustri   parte poni debet.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Saxa tritalantaria &longs;impliciter non &longs;unt   magna.<emph.end type="italics"/></cell><cell>204</cell></row><row><cell><emph type="italics"/>Scorpionis ictus.<emph.end type="italics"/></cell><cell>129</cell></row><row><cell><emph type="italics"/>Scytala quid, &amp; quotuplex.<emph.end type="italics"/></cell><cell>111.114</cell></row><row><cell><emph type="italics"/>Scytal&aelig; v&longs;us duplex.<emph.end type="italics"/></cell><cell>111</cell></row><row><cell><emph type="italics"/>Super Scytalis onera facilius ge&longs;tantur,<emph.end type="italics"/><pb/><emph type="italics"/>quam &longs;uper curribus.<emph.end type="italics"/></cell><cell>113</cell></row><row><cell><emph type="italics"/>Securis magna diuidit.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Securis feriens diuidit, premens non   item.<emph.end type="italics"/></cell><cell>144</cell></row><row><cell><emph type="italics"/>Securis e&longs;t cuneus annexus malleo.<emph.end type="italics"/></cell><cell>145</cell></row><row><cell><emph type="italics"/>Sedere quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Sedens caput habet ad pedes parallelum,   &amp; nequaquam in vnarecta.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Sedentari&aelig; artes vtuntur &longs;e&szlig;ione &longs;ecu-ra.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedile idem non congruit omni homini.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Se&szlig;io propri&egrave; dista &amp; lat&egrave;<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Se&szlig;io cum &longs;ecuritate.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Sedens altius &longs;urgit facilius.<emph.end type="italics"/></cell><cell>197.198</cell></row><row><cell><foreign lang="greek">*e*h/mwma</foreign> <emph type="italics"/>quid.<emph.end type="italics"/></cell><cell>151</cell></row><row><cell><emph type="italics"/>Spartion pro an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra quale corpus.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra corpus e&longs;t mobili&szlig;imum &amp; mo-uenti&szlig;imum.<emph.end type="italics"/></cell><cell>16</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra contingit planum in puncto.<emph.end type="italics"/></cell><cell>101</cell></row><row><cell><emph type="italics"/>Sph&aelig;ra Archimedis per &longs;e mobilis non   e&longs;t fabula.<emph.end type="italics"/></cell><cell>26</cell></row><row><cell><emph type="italics"/>Sph&aelig;ratop&aelig;ia pars e&longs;t mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Stater&aelig; partes.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Stater&aelig; v&longs;us.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Statera in pretio&longs;is expendendis non   v&longs;urpatur, &longs;ed libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera commodior libra.<emph.end type="italics"/></cell><cell>147</cell></row><row><cell><emph type="italics"/>Statera vna mult &aelig; &longs;unt libr&aelig;.<emph.end type="italics"/></cell><cell>148.149</cell></row><row><cell><emph type="italics"/>Statera e&longs;t vectis inuer&longs;us.<emph.end type="italics"/></cell><cell>150</cell></row><row><cell><emph type="italics"/>Stater&aelig; paruo &aelig;quipondio magna ponde-ra expendunt.<emph.end type="italics"/></cell><cell>146.147.148</cell></row><row><cell><emph type="italics"/>Stater&aelig; dimidium e&longs;t an&longs;a.<emph.end type="italics"/></cell><cell>148</cell></row><row><cell><emph type="italics"/>Per Stateram ponderationis fact&aelig; de-mon&longs;tratio.<emph.end type="italics"/></cell><cell>152</cell></row><row><cell><emph type="italics"/>Stare quid.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Stans e&longs;t perpendicularis terr&aelig;.<emph.end type="italics"/></cell><cell>193</cell></row><row><cell><emph type="italics"/>Stantis di&longs;po&longs;itio e&longs;t in recta linea.<emph.end type="italics"/></cell><cell>196</cell></row><row><cell><emph type="italics"/>Statio &amp; &longs;e&szlig;io propria <expan abbr="s&utilde;t">sunt</expan> homini.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><foreign lang="greek">*etata</foreign> <emph type="italics"/>qu&aelig;.<emph.end type="italics"/></cell><cell>10</cell></row><row><cell><emph type="italics"/>Succula quid.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Surrectio e&longs;t motio.<emph.end type="italics"/></cell><cell>194</cell></row><row><cell><emph type="italics"/>Surrectio &egrave; iacente indiget acutis angu-lis.<emph.end type="italics"/></cell><cell>197</cell></row><row><cell><emph type="italics"/>Surgentes con&longs;tituunt angulum acutum   ex femore cum tibia, tum ex thor&aelig;ce   &amp; femore.<emph.end type="italics"/></cell><cell>193.195.196</cell></row><row><cell><emph type="italics"/>Surrectionis initium fit per acutos angu-los.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Surrectionis medium fit per rectum, &amp;   obtu&longs;os angulos.<emph.end type="italics"/></cell><cell>198</cell></row><row><cell><emph type="italics"/>Symmetria quid.<emph.end type="italics"/></cell><cell>19</cell></row><row><cell><emph type="italics"/>Symmetria pro analogia.<emph.end type="italics"/></cell><cell>205</cell></row><row><cell><emph type="italics"/>T<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Telum facilius ten&longs;a penetrat, quam   laxa.<emph.end type="italics"/></cell><cell>202</cell></row><row><cell><emph type="italics"/>Terra cur immobilis.<emph.end type="italics"/></cell><cell>103.104</cell></row><row><cell><emph type="italics"/>Terra comparata cubo &agrave; Pythagoreis, &amp;   Platone.<emph.end type="italics"/></cell><cell>103.196</cell></row><row><cell><emph type="italics"/>Textus Ari&longs;totelis omnium mendo&longs;i&longs;-&longs;imus.<emph.end type="italics"/></cell><cell>178.179</cell></row><row><cell><emph type="italics"/>Thaletis factum in eclip&longs;i Solis.<emph.end type="italics"/></cell><cell>5</cell></row><row><cell><foreign lang="greek">*qanmatou<gap/>gim*h\</foreign> <emph type="italics"/>pars Mechanices.<emph.end type="italics"/></cell><cell>11</cell></row><row><cell><emph type="italics"/>Theorematis &agrave; problemate di&longs;tinctio.<emph.end type="italics"/></cell><cell>12</cell></row><row><cell><emph type="italics"/>Tolleno quid.<emph.end type="italics"/></cell><cell>188.189</cell></row><row><cell><emph type="italics"/>Tollenonis v&longs;us.<emph.end type="italics"/></cell><cell>189</cell></row><row><cell><emph type="italics"/>Tollenonis tran&longs;uer &longs;ario pondus adie-ctum.<emph.end type="italics"/></cell><cell>188.190</cell></row><row><cell><emph type="italics"/>Tormenta bellica deducenda plures equos   po&longs;tulant.<emph.end type="italics"/></cell><cell>110.111</cell></row><row><cell><emph type="italics"/>Traba quid.<emph.end type="italics"/></cell><cell>115</cell></row><row><cell><emph type="italics"/>Trispa&longs;ton.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea quid.<emph.end type="italics"/></cell><cell>111.134</cell></row><row><cell><emph type="italics"/>Trochlea e&longs;t vectis.<emph.end type="italics"/></cell><cell>136</cell></row><row><cell><emph type="italics"/>in Trochleis plures orbiculi facilius, &longs;ed   lentius trahunt.<emph.end type="italics"/></cell><cell>137</cell></row><row><cell><emph type="italics"/>Trochle&aelig; du&aelig; legitim&egrave; compofit&aelig; magna   pondera adducunt.<emph.end type="italics"/></cell><cell>133.134.136</cell></row><row><cell><emph type="italics"/>V<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Vectis quid.<emph.end type="italics"/></cell><cell>14.55</cell></row><row><cell><emph type="italics"/>Vectis, cuneus.<emph.end type="italics"/></cell><cell>119</cell></row><row><cell><emph type="italics"/>Vectis partes.<emph.end type="italics"/></cell><cell>14.15</cell></row><row><cell><emph type="italics"/>Vectis v&longs;us duplex.<emph.end type="italics"/></cell><cell>55</cell></row><row><cell><emph type="italics"/>Vectis refert libram.<emph.end type="italics"/></cell><cell>57</cell></row><row><cell><emph type="italics"/>pro Vecte vnum &longs;tadium longo machin&aelig;   mult&aelig; &longs;imul.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Velum quid.<emph.end type="italics"/></cell><cell>92</cell></row><pb/><row><cell><emph type="italics"/>Veli&longs;pecies.<emph.end type="italics"/></cell><cell>92</cell></row><row><cell><emph type="italics"/>Ventus &longs;ecundui, aduer&longs;us, iran&longs;uer&longs;us,   obliquus.<emph.end type="italics"/></cell><cell>96</cell></row><row><cell><emph type="italics"/>Vento vt codem in contrarias partes na-uigatur demonstratio.<emph.end type="italics"/></cell><cell>98</cell></row><row><cell><emph type="italics"/>in Vortice aquarum lata ad medium de-uoluuntur.<emph.end type="italics"/></cell><cell>206.207.209.210</cell></row><row><cell><emph type="italics"/>Vortex aquarum.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>in Vortice aquo&longs;i multi circuli concentri-ci.<emph.end type="italics"/></cell><cell>206</cell></row><row><cell><emph type="italics"/>Vortex aqu&aelig; e&longs;t linea &longs;piralis vnius, aut   plurium reuolutionum.<emph.end type="italics"/></cell><cell>209</cell></row><row><cell><emph type="italics"/>Vortices quomodo &agrave; nautis vitentar.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>Vortices inter Roe&longs;t &amp; Loffoet.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>in Vorticem vt &longs;entiunt naut&aelig; &longs;e impe-<gap/>gi&longs;&longs;e.<emph.end type="italics"/></cell><cell>210</cell></row><row><cell><emph type="italics"/>difficile &longs;e liberare &agrave; Vortice.<emph.end type="italics"/></cell><cell>210.211</cell></row><row><cell><emph type="italics"/>aquain Vortice <expan abbr="de&longs;c&etilde;d&etilde;s">de&longs;cendens</expan> qu&ograve; feratur.<emph.end type="italics"/></cell><cell>211</cell></row><row><cell><emph type="italics"/>Vtilitas hominum postulat in operibus   &longs;uis varietatem.<emph.end type="italics"/></cell><cell>6</cell></row><row><cell><emph type="italics"/>X<emph.end type="italics"/></cell><cell/></row><row><cell><emph type="italics"/>Xystus V. Pont. Max. obeli&longs;ci tran&longs;-ferendi author.<emph.end type="italics"/></cell><cell>139</cell></row><row><cell><emph type="italics"/>Xysti V. Pontificis laus.<emph.end type="italics"/></cell><cell>142</cell></row><row><cell><emph type="italics"/>Z<emph.end type="italics"/></cell><cell/></row><row><cell><foreign lang="greek">*zugo(s &amp; *zugo\n.</foreign></cell><cell>45.119</cell></row><row><cell><foreign lang="greek">*zugosa/ths.</foreign></cell><cell>45</cell></row><row><cell><emph type="italics"/>Zygostatica fides.<emph.end type="italics"/></cell><cell>45</cell></row></table><p type="head">
  
 <s>FINIS.</s></p><pb pagenum="1"/><figure/><p type="head"> <s>FINIS.<!-- KEEP S--></s></p><pb pagenum="1"/><figure/><p type="head">
  
 <s><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u<gap/></foreign><lb/>MHX ANIKA. <lb/>ARISTOTELIS <lb/>MECHANICA.</s></p><p type="main"> <s><foreign lang="greek">*a*r*i*s*t*o*t*e*l*o*u<gap/></foreign><lb/>MHX ANIKA. <lb/>ARISTOTELIS <lb/>MECHANICA.</s></p><p type="main">
  
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 <s>MIRA &longs;unt in his, qu&aelig; <lb/><expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="natur&atilde;">naturam</expan> <expan abbr="eue-ni&utilde;t">eue&shy;<lb/>niunt</expan>, ea: <expan abbr="quor&utilde;">quorum</expan> cau&longs;a igno&shy;<lb/>ratur, &amp; in his qu&aelig; pr&aelig;ter <lb/>naturam, ea, <expan abbr="qu&ecedil;cunq;">qu&ecedil;cunque</expan> arte <lb/>facta hominibus <expan abbr="c&otilde;ferunt">conferunt</expan>.</s></p><p type="head"> <s>MIRA &longs;unt in his, qu&aelig; <lb/><expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> <expan abbr="natur&atilde;">naturam</expan> <expan abbr="eue-ni&utilde;t">eue&shy;<lb/>niunt</expan>, ea: <expan abbr="quor&utilde;">quorum</expan> cau&longs;a igno&shy;<lb/>ratur, &amp; in his qu&aelig; pr&aelig;ter <lb/>naturam, ea, <expan abbr="qu&ecedil;cunq;">qu&ecedil;cunque</expan> arte <lb/>facta hominibus <expan abbr="c&otilde;ferunt">conferunt</expan>.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Cardanvs librum hunc Ari&longs;totelis peripate-<emph.end type="italics"/><lb/><arrow.to.target n="marg2"/><lb/><emph type="italics"/>ticorum principis e&longs;&longs;e non arbitratur, propter man&shy;<lb/>cam, &amp; paulo negligentiorem motuum rotundo&shy;<lb/>rum in eo po&longs;itam diui&longs;ionem. </s> <s><emph type="italics"/>Cardanvs librum hunc Ari&longs;totelis peripate-<emph.end type="italics"/><lb/><arrow.to.target n="marg2"/><lb/><emph type="italics"/>ticorum principis e&longs;&longs;e non arbitratur, propter man&shy;<lb/>cam, &amp; paulo negligentiorem motuum rotundo&shy;<lb/>rum in eo po&longs;itam diui&longs;ionem. </s>
  
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 <s><margin.target id="marg4"/>Lib I.cap i. <lb/></s> <s><margin.target id="marg4"/>Lib I.cap i. <lb/></s>
  
 <s>Ethic.</s></p><p type="main"> <s>Ethic.<!-- REMOVE S-->Lingua, Tropus, Ratio, Numerus, Tonus, Angulus, A&longs;tra: <lb/>Rus, Nemus, Arma, Faber, Vulnera, Lana, Rates.<!-- REMOVE S--><emph type="italics"/>horum priore &longs;ignificantur Grammatica, Rhetorica, Dialectica, <lb/>Arithmetica, Mu&longs;ica, Geometria, A&longs;trologia, liberales ob id di&shy;<lb/>ct&aelig;, &longs;iue ingenu&aelig;, quod illis excolatur animus, qui libera &amp; ingenua <lb/>pars e&longs;t hominis: Sed &amp; pueriles, quia his ingenui pueri primis an&shy;<lb/>nis, &longs;tatim imbiberentur tanquam pr&aelig;uiis, &amp; ad cape&longs;&longs;endas &longs;cien&shy;<lb/>tias &amp; magnas artes nece&longs;&longs;ariis. </s></p><p type="main">
  
 <s>Lingua, Tropus, Ratio, Numerus, Tonus, Angulus, A&longs;tra: <lb/>Rus, Nemus, Arma, Faber, Vulnera, Lana, Rates.</s></p><p type="main"> 
  
 <s><emph type="italics"/>horum priore &longs;ignificantur Grammatica, Rhetorica, Dialectica, <lb/>Arithmetica, Mu&longs;ica, Geometria, A&longs;trologia, liberales ob id di&shy;<lb/>ct&aelig;, &longs;iue ingenu&aelig;, quod illis excolatur animus, qui libera &amp; ingenua <lb/>pars e&longs;t hominis: Sed &amp; pueriles, quia his ingenui pueri primis an&shy;<lb/>nis, &longs;tatim imbiberentur tanquam pr&aelig;uiis, &amp; ad cape&longs;&longs;endas &longs;cien&shy;<lb/>tias &amp; magnas artes nece&longs;&longs;ariis. </s> 
  
 <s>Scienti&aelig; autem erant Philo&longs;ophia <lb/>moralis, Phy&longs;ica, Medicina, Iuri&longs;prudentia, Theologia. </s> <s>Scienti&aelig; autem erant Philo&longs;ophia <lb/>moralis, Phy&longs;ica, Medicina, Iuri&longs;prudentia, Theologia. </s>
  
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 <s>In quarum &longs;ingulis ali&aelig; &longs;unt im&shy;<lb/>perantes, qu&aelig; &amp; architectonic&aelig; dicuntur: ali&aelig; mini&longs;trantes. </s> <s>In quarum &longs;ingulis ali&aelig; &longs;unt im&shy;<lb/>perantes, qu&aelig; &amp; architectonic&aelig; dicuntur: ali&aelig; mini&longs;trantes. </s>
  
 <s>Impe&shy;<lb/>rantes, habere debent pr&aelig;uias illas &longs;eptem liberales ante dictas, vt <lb/>videre e&longs;t apud Vitruuium de &longs;uo architecto, &amp; in no&longs;tro com&shy;<lb/>mentario Iuri&longs;iurandi Hipp. </s> <s>Impe&shy;<lb/>rantes, habere debent pr&aelig;uias illas &longs;eptem liberales ante dictas, vt <lb/>videre e&longs;t apud Vitruuium de &longs;uo architecto, &amp; in no&longs;tro com&shy;<lb/>mentario Iuri&longs;iurandi Hipp. <!-- REMOVE S-->de Hippocrateo medico: apud <expan abbr="Virgili&utilde;">Virgilium</expan> <lb/>de &longs;uo agricola: apud Vegetium de &longs;uo imperatore, &amp; eadem ratione <lb/>in reliquis: ita vt, qui imperantibus i&longs;tis artibus pr&aelig;diti fuerint, in&shy;<lb/>ter homines pr&aelig;&longs;tanti&szlig;imi habiti &longs;emper &longs;int, &amp; &longs;emper haberi <lb/>debeant, quanquam aliarum opera aliis aut nece&longs;&longs;aria magis, aut<emph.end type="italics"/><pb pagenum="4"/><emph type="italics"/>pr&aelig;&longs;tantiora, aut vtiliora, aut certiora exi&longs;tant. </s>
  
  
 <s>de Hippocrateo medico: apud <expan abbr="Virgili&utilde;">Virgilium</expan> <lb/>de &longs;uo agricola: apud Vegetium de &longs;uo imperatore, &amp; eadem ratione <lb/>in reliquis: ita vt, qui imperantibus i&longs;tis artibus pr&aelig;diti fuerint, in&shy;<lb/>ter homines pr&aelig;&longs;tanti&szlig;imi habiti &longs;emper &longs;int, &amp; &longs;emper haberi <lb/>debeant, quanquam aliarum opera aliis aut nece&longs;&longs;aria magis, aut<emph.end type="italics"/><pb pagenum="4"/><emph type="italics"/>pr&aelig;&longs;tantiora, aut vtiliora, aut certiora exi&longs;tant. </s> 
  
 <s>Agricultur&aelig; enim <lb/>opus, quod alimenta &amp; medicamenta hominibus &longs;uppeditat, nece&szlig;i&shy;<lb/>tate vincit c&aelig;tera: victoria, qu&aelig; rebelles &amp; hostes &longs;ub&yuml;cit, proprios <lb/>ciues con&longs;eruat, vtilitate &longs;upereminet: Medicina nobilitate &longs;ubiecti, <lb/>&amp; pr&aelig;stantia boni nempe &longs;anitatis, quam procurat, eximia e&longs;t: Cer&shy;<lb/>titudine operis &amp; operationis Fabrilis anteponenda omnibus: vt <lb/>Lanificium, quod ad opes hone&longs;te parandas: &amp; Nautica propter <lb/>mercaturam faciunt omnium maxim&egrave;. </s> <s>Agricultur&aelig; enim <lb/>opus, quod alimenta &amp; medicamenta hominibus &longs;uppeditat, nece&szlig;i&shy;<lb/>tate vincit c&aelig;tera: victoria, qu&aelig; rebelles &amp; hostes &longs;ub&yuml;cit, proprios <lb/>ciues con&longs;eruat, vtilitate &longs;upereminet: Medicina nobilitate &longs;ubiecti, <lb/>&amp; pr&aelig;stantia boni nempe &longs;anitatis, quam procurat, eximia e&longs;t: Cer&shy;<lb/>titudine operis &amp; operationis Fabrilis anteponenda omnibus: vt <lb/>Lanificium, quod ad opes hone&longs;te parandas: &amp; Nautica propter <lb/>mercaturam faciunt omnium maxim&egrave;. </s>
  
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 2. lib.  2. lib.
  
 2. <lb/>Metaph.</s></p><p type="margin"> 2. <lb/>Metaph.<!-- REMOVE S--><margin.target id="marg6"/>Cap.
  
  
 <s><margin.target id="marg6"/>Cap.  
  
  
 6. lib.  6. lib.
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 <s><expan abbr="Qu&atilde;do">Quando</expan> igitur conuenit fa&shy;<lb/>cere aliquid pr&ecedil;ter <expan abbr="natur&atilde;">naturam</expan>, <lb/><expan abbr="t&utilde;">tum</expan> difficultas h&aelig;&longs;itationem <lb/>adfert, &amp; arte opus e&longs;t.</s></p><p type="head"> <s><expan abbr="Qu&atilde;do">Quando</expan> igitur conuenit fa&shy;<lb/>cere aliquid pr&ecedil;ter <expan abbr="natur&atilde;">naturam</expan>, <lb/><expan abbr="t&utilde;">tum</expan> difficultas h&aelig;&longs;itationem <lb/>adfert, &amp; arte opus e&longs;t.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>In multis enim.] <emph type="italics"/>Secunda ratio e&longs;t ad probandum in arte fa&shy;<lb/>ctis quibu&longs;dam aliquid mirum e&longs;&longs;e, deprompta e&longs;t ex effectis Na&shy;<lb/>tur&aelig; contrar&yuml;s, &longs;altem repugnantibus, &longs;yllogi&longs;mus &longs;ic in&longs;titutus <lb/>rem ip&longs;am illu&longs;trabit.<emph.end type="italics"/></s></p><p type="main"> <s>In multis enim.] <emph type="italics"/>Secunda ratio e&longs;t ad probandum in arte fa&shy;<lb/>ctis quibu&longs;dam aliquid mirum e&longs;&longs;e, deprompta e&longs;t ex effectis Na&shy;<lb/>tur&aelig; contrar&yuml;s, &longs;altem repugnantibus, &longs;yllogi&longs;mus &longs;ic in&longs;titutus <lb/>rem ip&longs;am illu&longs;trabit.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>vt in his, qu&aelig;, cum mino&shy;<lb/>ra &longs;int, &longs;uperant maiora: &amp; <lb/>paruum momentum, cum <lb/>habeant, ingentia dimo&shy;<lb/>uent pondera, c&aelig;teri&longs;&shy;<lb/>que fere, qu&aelig; problemata <lb/>Mechanica nuncupamus.</s></p><p type="head"> <s>vt in his, qu&aelig;, cum mino&shy;<lb/>ra &longs;int, &longs;uperant maiora: &amp; <lb/>paruum momentum, cum <lb/>habeant, ingentia dimo&shy;<lb/>uent pondera, c&aelig;teri&longs;&shy;<lb/>que fere, qu&aelig; problemata <lb/>Mechanica nuncupamus.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Illius artis.] <emph type="italics"/>Ars gencralis, cuius hic mentionem facit Ari&shy;<lb/>&longs;toteles, nu&longs;quam ab eo e&longs;t definita, aut nominata. </s> <s>Illius artis.] <emph type="italics"/>Ars gencralis, cuius hic mentionem facit Ari&shy;<lb/>&longs;toteles, nu&longs;quam ab eo e&longs;t definita, aut nominata. </s>
  
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 <s>Et<emph.end type="italics"/> <foreign lang="greek">si/fwnes</foreign><lb/><emph type="italics"/>extinguendis ineend&yuml;s apti, &amp; medicinabiles cacurbitul&aelig; &longs;ine <lb/>ignis ministerio cutem prehendentes, &amp; pil&aelig; &longs;ponte &longs;altantes, &amp; <lb/>lucerna &longs;uas ip&longs;a producens &longs;tuppas: &amp; animal quod &agrave; &longs;tructore dum <lb/>&longs;ecatur in men&longs;a, bibit interim, crepit&ugrave;que &longs;uo quodam, &amp; voce &longs;i&shy;<lb/>tientis repr&aelig;&longs;entat imaginem: milleque alia id genus, qu&aelig; breuita&shy;<lb/>tis &longs;tudio pr&aelig;terimus. </s> <s>Et<emph.end type="italics"/> <foreign lang="greek">si/fwnes</foreign><lb/><emph type="italics"/>extinguendis ineend&yuml;s apti, &amp; medicinabiles cacurbitul&aelig; &longs;ine <lb/>ignis ministerio cutem prehendentes, &amp; pil&aelig; &longs;ponte &longs;altantes, &amp; <lb/>lucerna &longs;uas ip&longs;a producens &longs;tuppas: &amp; animal quod &agrave; &longs;tructore dum <lb/>&longs;ecatur in men&longs;a, bibit interim, crepit&ugrave;que &longs;uo quodam, &amp; voce &longs;i&shy;<lb/>tientis repr&aelig;&longs;entat imaginem: milleque alia id genus, qu&aelig; breuita&shy;<lb/>tis &longs;tudio pr&aelig;terimus. </s>
  
 <s>H&aelig;c igitur (vt in capita qu&aelig;dam conferatur) <lb/>aut ponderibus vtitur &amp; &longs;piritu, quorum pr&aelig;ponderatio mouet, <lb/>&aelig;quilibrium &longs;i&longs;tit, (&longs;icuti etiam Tim&aelig;us definit): aut neruis &amp; <lb/>funiculis animatos qua&longs;i tractus, ac motus imitatur, ac circa illa <lb/>qu&aelig; &longs;ubnatant aquis, aut circa aquarum vertitur horologia, quo&shy;<lb/>rum quidem generum primum docet in pneumaticis Heron, alte&shy;<lb/>rum idem in automatis &amp; Zyg&yuml;s, quartum rur&longs;us in Hydr&yuml;s, ter&shy;<lb/>tium ver&ograve; in Ochoumenis Archimedes. </s> <s>H&aelig;c igitur (vt in capita qu&aelig;dam conferatur) <lb/>aut ponderibus vtitur &amp; &longs;piritu, quorum pr&aelig;ponderatio mouet, <lb/>&aelig;quilibrium &longs;i&longs;tit, (&longs;icuti etiam Tim&aelig;us definit): aut neruis &amp; <lb/>funiculis animatos qua&longs;i tractus, ac motus imitatur, ac circa illa <lb/>qu&aelig; &longs;ubnatant aquis, aut circa aquarum vertitur horologia, quo&shy;<lb/>rum quidem generum primum docet in pneumaticis Heron, alte&shy;<lb/>rum idem in automatis &amp; Zyg&yuml;s, quartum rur&longs;us in Hydr&yuml;s, ter&shy;<lb/>tium ver&ograve; in Ochoumenis Archimedes. <!-- KEEP S--></s>
  
 <s>E&longs;t in eadem Mechanic&aelig; <lb/>&longs;erie qu&aelig; Centrobarica pars dicitur, ex qua reliqu&aelig; pendere dicun&shy;<lb/>tur &amp; Sph&aelig;rotop&oelig;ia, qualis illa Archimedea Claudiani laudata <lb/>ver&longs;ibus. </s> <s>E&longs;t in eadem Mechanic&aelig; <lb/>&longs;erie qu&aelig; Centrobarica pars dicitur, ex qua reliqu&aelig; pendere dicun&shy;<lb/>tur &amp; Sph&aelig;rotop&oelig;ia, qualis illa Archimedea Claudiani laudata <lb/>ver&longs;ibus. </s>
  
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 <s>Quid occultamini, inquit, <lb/>Soc&yuml;, cum nullius i&longs;torum qui frequentes ad vrbis portam &longs;pectandi <lb/>gratia confluunt, cras vos &longs;it con&longs;pecturus? </s> <s>Quid occultamini, inquit, <lb/>Soc&yuml;, cum nullius i&longs;torum qui frequentes ad vrbis portam &longs;pectandi <lb/>gratia confluunt, cras vos &longs;it con&longs;pecturus? </s>
  
 <s>E&longs;t alius etiam Antipho <lb/>de quo meminit Cicero, vt &longs;omniorum interprete &amp; &longs;criptore for&shy;<lb/>ta&longs;&longs;e is e&longs;t quem fui&longs;&longs;e Athenien&longs;em mon&longs;tro&longs;orum &longs;omniorum in&shy;<lb/>terpretem, &amp; po&euml;tam refert Suidas. </s> <s>E&longs;t alius etiam Antipho <lb/>de quo meminit Cicero, vt &longs;omniorum interprete &amp; &longs;criptore for&shy;<lb/>ta&longs;&longs;e is e&longs;t quem fui&longs;&longs;e Athenien&longs;em mon&longs;tro&longs;orum &longs;omniorum in&shy;<lb/>terpretem, &amp; po&euml;tam refert Suidas. <!-- KEEP S--></s>
  
 <s>A quo etiam forta&longs;&longs;e proma&shy;<lb/>nauit Senariolus, qui hic citatur ab Ari&longs;totele, ad probandum <lb/>homines arte vincere ea, &agrave; quibus natura vincuntur. </s> <s>A quo etiam forta&longs;&longs;e proma&shy;<lb/>nauit Senariolus, qui hic citatur ab Ari&longs;totele, ad probandum <lb/>homines arte vincere ea, &agrave; quibus natura vincuntur. </s>
  
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 <s><gap/></s></p><p type="main"> <s><gap/></s></p><p type="main">
  
 <s>Sunt vero h&aelig;c proble&shy;<lb/>matis Phy&longs;icis, nec omni&shy;<lb/>no <expan abbr="ead&etilde;">eadem</expan>, nec vald&egrave; di&longs;&longs;imi&shy;<lb/>lia: &longs;ed con&longs;entanea theo&shy;<lb/>tematis, tum mathemati&shy;<lb/>cis, tum Phy&longs;icis. </s> <s>Sunt vero h&aelig;c proble&shy;<lb/>matis Phy&longs;icis, nec omni&shy;<lb/>no <expan abbr="ead&etilde;">eadem</expan>, nec vald&egrave; di&longs;&longs;imi&shy;<lb/>lia: &longs;ed con&longs;entanea theo&shy;<lb/>tematis, tum mathemati&shy;<lb/>cis, tum Phy&longs;icis. <!-- KEEP S--></s>
  
 <s>Etenim <lb/>quod ip&longs;um quomodo ad <lb/>mathematica pertineat: <lb/>ip&longs;um vero circa quod, ad <lb/>Phy&longs;ica, manife&longs;tum e&longs;t.</s></p><p type="head"> <s>Etenim <lb/>quod ip&longs;um quomodo ad <lb/>mathematica pertineat: <lb/>ip&longs;um vero circa quod, ad <lb/>Phy&longs;ica, manife&longs;tum e&longs;t.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Apud Euclidem problema &agrave; theoremate di&longs;tinguitur, quod <lb/>hoc iubeat aliquid contemplari: illud fieri: pa&szlig;im tamen ab<emph.end type="italics"/><pb pagenum="13"/><emph type="italics"/>Ari&longs;totele, &amp; al&yuml;s pro vtroque, vt hic, indifferenter legitur. </s> <s><emph type="italics"/>Apud Euclidem problema &agrave; theoremate di&longs;tinguitur, quod <lb/>hoc iubeat aliquid contemplari: illud fieri: pa&szlig;im tamen ab<emph.end type="italics"/><pb pagenum="13"/><emph type="italics"/>Ari&longs;totele, &amp; al&yuml;s pro vtroque, vt hic, indifferenter legitur. </s>
  
 <s>Qualia <lb/>autem problemata in Mechanicis habeat tractanda explicat Ari&shy;<lb/>&longs;toteles, dicitque ea e&longs;&longs;e, qu&aelig; &longs;int con&longs;entanea Phy&longs;icis &amp; Mathe&shy;<lb/>maticis, vt qu&aelig; habeant &longs;ubiectum petitum &egrave; Phy&longs;icis. </s> <s>Qualia <lb/>autem problemata in Mechanicis habeat tractanda explicat Ari&shy;<lb/>&longs;toteles, dicitque ea e&longs;&longs;e, qu&aelig; &longs;int con&longs;entanea Phy&longs;icis &amp; Mathe&shy;<lb/>maticis, vt qu&aelig; habeant &longs;ubiectum petitum &egrave; Phy&longs;icis. <!-- KEEP S--></s>
  
 <s>Machina&shy;<lb/>rum enim materia lignum e&longs;t vel ferrum &amp; eiu&longs;modi corpora Phy&shy;<lb/>&longs;ica: attributum ver&ograve; &egrave; figuris &amp; terminis Mathematicis cuiu&longs;mo&shy;<lb/>di &longs;unt in Geometria line&aelig;, diametri, centra, circuli, &amp; eiu&longs;modi, <lb/>&egrave; quibus machin&aelig; con&longs;tare &amp; figurat&aelig; e&longs;&longs;e, &amp; vires &longs;uas accipere, <lb/>augere, diminuere, metiri o&longs;tenduntur. </s> <s>Machina&shy;<lb/>rum enim materia lignum e&longs;t vel ferrum &amp; eiu&longs;modi corpora Phy&shy;<lb/>&longs;ica: attributum ver&ograve; &egrave; figuris &amp; terminis Mathematicis cuiu&longs;mo&shy;<lb/>di &longs;unt in Geometria line&aelig;, diametri, centra, circuli, &amp; eiu&longs;modi, <lb/>&egrave; quibus machin&aelig; con&longs;tare &amp; figurat&aelig; e&longs;&longs;e, &amp; vires &longs;uas accipere, <lb/>augere, diminuere, metiri o&longs;tenduntur. </s>
  
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 <s>quod enim &longs;ine <lb/>vecte qui&longs;piam non po&longs;&longs;et <lb/>mouere, hoc ip&longs;um pon&shy;<lb/>dus, in&longs;uper <expan abbr="adijci&etilde;s">adijciens</expan> vectis <lb/>ip&longs;ius <expan abbr="p&otilde;dus">pondus</expan>, facile mouet.</s></p><p type="head"> <s>quod enim &longs;ine <lb/>vecte qui&longs;piam non po&longs;&longs;et <lb/>mouere, hoc ip&longs;um pon&shy;<lb/>dus, in&longs;uper <expan abbr="adijci&etilde;s">adijciens</expan> vectis <lb/>ip&longs;ius <expan abbr="p&otilde;dus">pondus</expan>, facile mouet.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qv&aelig; de vecte.] <emph type="italics"/>Vectis e&longs;t machina &longs;eu in&longs;trumentum in&longs;tar <lb/>pali aut baculi recti longioris, cuius alterum extremum in cu&shy;<lb/>spidem <expan abbr="acut&atilde;">acutam</expan> &amp; paul&ograve; latiorem de&longs;init, <expan abbr="vocaturq;">vocaturque</expan> lingua: alterum <lb/><expan abbr="extrem&utilde;">extremum</expan> caput e&longs;t, aut manubrium. </s> <s>Qv&aelig; de vecte.] <emph type="italics"/>Vectis e&longs;t machina &longs;eu in&longs;trumentum in&longs;tar <lb/>pali aut baculi recti longioris, cuius alterum extremum in cu&shy;<lb/>spidem <expan abbr="acut&atilde;">acutam</expan> &amp; paul&ograve; latiorem de&longs;init, <expan abbr="vocaturq;">vocaturque</expan> lingua: alterum <lb/><expan abbr="extrem&utilde;">extremum</expan> caput e&longs;t, aut manubrium. </s>
  
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 <s>Nec enim ab&longs;urdum e&longs;t, <lb/>ex admirabiliori quid ad&shy;<lb/>mirabile contingere.</s></p><p type="head"> <s>Nec enim ab&longs;urdum e&longs;t, <lb/>ex admirabiliori quid ad&shy;<lb/>mirabile contingere.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Omnium ver&ograve; talium.] <emph type="italics"/>Cau&longs;a qu&aelig; latebat in problemate <lb/>de vecte a&szlig;ignatur hic e&longs;&longs;e circulus: qu&aelig; ad alia multa Me&shy;<lb/>chanica po&longs;tea transferetur. </s> <s>Omnium ver&ograve; talium.] <emph type="italics"/>Cau&longs;a qu&aelig; latebat in problemate <lb/>de vecte a&szlig;ignatur hic e&longs;&longs;e circulus: qu&aelig; ad alia multa Me&shy;<lb/>chanica po&longs;tea transferetur. </s>
  
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 <s>Ill&ugrave;c <expan abbr="itaq;">itaque</expan> in&longs;pi&shy;<lb/>cientibus <expan abbr="c&otilde;traria">contraria</expan> ab ip&longs;o <lb/>prouenire minus erit <expan abbr="mir&utilde;">mirum</expan>.</s></p><p type="head"> <s>Ill&ugrave;c <expan abbr="itaq;">itaque</expan> in&longs;pi&shy;<lb/>cientibus <expan abbr="c&otilde;traria">contraria</expan> ab ip&longs;o <lb/>prouenire minus erit <expan abbr="mir&utilde;">mirum</expan>.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Maxime ver&ograve;.] <emph type="italics"/>Circuli admiranda natura declaratur &egrave; <lb/>quintuplici contrariorum, qu&aelig; in eo pr&aelig;ter contrariorum<emph.end type="italics"/><pb pagenum="16"/><emph type="italics"/>legem &longs;imul reperiuntur, repugnantia. </s> <s>Maxime ver&ograve;.] <emph type="italics"/>Circuli admiranda natura declaratur &egrave; <lb/>quintuplici contrariorum, qu&aelig; in eo pr&aelig;ter contrariorum<emph.end type="italics"/><pb pagenum="16"/><emph type="italics"/>legem &longs;imul reperiuntur, repugnantia. </s>
  
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 <s>Circulum autem fieri ex moto &amp; quieto patet his, <lb/>qui eius fabricam repetent &egrave; 3. po&longs;tulato element. </s> <s>Circulum autem fieri ex moto &amp; quieto patet his, <lb/>qui eius fabricam repetent &egrave; 3. po&longs;tulato element. </s>
  
 <s>Eucl. </s> <s>Eucl. <!-- REMOVE S-->Ibi enim po&shy;<lb/>&longs;tulatur, vt &egrave; dato centro &amp; interuallo circulum de&longs;cribere conce&shy;<lb/>datur. </s>
  
  
 <s>Ibi enim po&shy;<lb/>&longs;tulatur, vt &egrave; dato centro &amp; interuallo circulum de&longs;cribere conce&shy;<lb/>datur. </s> 
  
 <s>De&longs;cribitur autem cum data recta finita, manente eius vno <lb/>extremorum, circummoluitur, quou&longs;que redeat ad locum vnde mo&shy;<lb/>ueri c&oelig;pit, id quod, vt &longs;ine errore fiat inuentus e&longs;t circinus &agrave; Talo <lb/>D&aelig;dali ex &longs;orore nepote, cuius forma &amp; officium ab Ouidio accom&shy;<lb/>modate huic loco, &longs;ic e&longs;t expre&longs;&longs;um,<emph.end type="italics"/></s></p><p type="main"> <s>De&longs;cribitur autem cum data recta finita, manente eius vno <lb/>extremorum, circummoluitur, quou&longs;que redeat ad locum vnde mo&shy;<lb/>ueri c&oelig;pit, id quod, vt &longs;ine errore fiat inuentus e&longs;t circinus &agrave; Talo <lb/>D&aelig;dali ex &longs;orore nepote, cuius forma &amp; officium ab Ouidio accom&shy;<lb/>modate huic loco, &longs;ic e&longs;t expre&longs;&longs;um,<emph.end type="italics"/></s></p><p type="main">
  
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 <s><emph type="italics"/>Sit igitur recta A B inter extrema due&shy;<lb/>rum brachiorum circini A C B diua&shy;<lb/>ricati per interuallum line&aelig; A B, <lb/>cuius extremum A maneat: alterum B <lb/>line&aelig; motu feratur per D quou&longs;que redeat <lb/>ad B: &longs;icque circulus B D B erit fa&shy;<lb/>ctus. </s> <s><emph type="italics"/>Sit igitur recta A B inter extrema due&shy;<lb/>rum brachiorum circini A C B diua&shy;<lb/>ricati per interuallum line&aelig; A B, <lb/>cuius extremum A maneat: alterum B <lb/>line&aelig; motu feratur per D quou&longs;que redeat <lb/>ad B: &longs;icque circulus B D B erit fa&shy;<lb/>ctus. </s>
  
 <s>Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles.<emph.end type="italics"/></s></p><p type="main"> <s>Idque beneficio puncti B cum tota <lb/>linea A B moti, atque puncti A quieti, vt hic vult Ari&longs;toteles.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><gap/></s></p><p type="main"> <s><gap/></s></p><p type="main">
  
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 <s>Atque vnum hoc <lb/>e&longs;t ex ab&longs;urdis qu&ecedil; in&longs;unt <lb/>circulo.</s></p><p type="head"> <s>Atque vnum hoc <lb/>e&longs;t ex ab&longs;urdis qu&ecedil; in&longs;unt <lb/>circulo.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Primum &longs;iquidem.] <emph type="italics"/>Vetu&longs;tatis iniuria multas veterum li&shy;<lb/>bris, &amp; huic &longs;ane irrep&longs;i&longs;&longs;e mendas, non e&longs;t res dubia, vt hoc loco<emph.end type="italics"/><lb/><foreign lang="greek">w_rw/ton</foreign> <emph type="italics"/>pro<emph.end type="italics"/> <foreign lang="greek">deu/teron.</foreign> <emph type="italics"/>Namque h&icirc;cnon prima, vtiam patuit: &longs;ed &longs;e&shy;<lb/>cunda e&longs;t in circulo repugnantia. </s> <s>Primum &longs;iquidem.] <emph type="italics"/>Vetu&longs;tatis iniuria multas veterum li&shy;<lb/>bris, &amp; huic &longs;ane irrep&longs;i&longs;&longs;e mendas, non e&longs;t res dubia, vt hoc loco<emph.end type="italics"/><lb/><foreign lang="greek">w_rw/ton</foreign> <emph type="italics"/>pro<emph.end type="italics"/> <foreign lang="greek">deu/teron.</foreign> <emph type="italics"/>Namque h&icirc;cnon prima, vtiam patuit: &longs;ed &longs;e&shy;<lb/>cunda e&longs;t in circulo repugnantia. </s>
  
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 <s>&amp; idcirco latitudinis expers <lb/>def. </s> <s>&amp; idcirco latitudinis expers <lb/>def. </s>
  
 <s>2. lib. </s> <s>2. lib. <!-- REMOVE S-->eiu&longs;dem: habeat tamen in &longs;econtraria conuexum &longs;cilicet, <lb/>&amp; concauum: illud quidem qu&agrave; &longs;pectat foras: hoc vero qu&agrave; intra. <lb/></s>
  
  
 <s>eiu&longs;dem: habeat tamen in &longs;econtraria conuexum &longs;cilicet, <lb/>&amp; concauum: illud quidem qu&agrave; &longs;pectat foras: hoc vero qu&agrave; intra. <lb/></s> 
  
 <s>vbinota Ari&longs;totelem dixi&longs;&longs;e h&aelig;e<emph.end type="italics"/> <foreign lang="greek">en)an<gap/>ia w_<gap/>s</foreign> <emph type="italics"/>contraria quodam&shy;<lb/>modo. </s> <s>vbinota Ari&longs;totelem dixi&longs;&longs;e h&aelig;e<emph.end type="italics"/> <foreign lang="greek">en)an<gap/>ia w_<gap/>s</foreign> <emph type="italics"/>contraria quodam&shy;<lb/>modo. </s>
  
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 <s>&longs;unt igitur conuexum &amp; concauum <lb/>contraria. </s> <s>&longs;unt igitur conuexum &amp; concauum <lb/>contraria. </s>
  
 <s>Sed &amp; hic a&longs;&longs;umemus per eandem definitionem contra&shy;<lb/>riorum ante po&longs;itam, &amp; ex &longs;ententia Ari&longs;totelis in categ. </s> <s>Sed &amp; hic a&longs;&longs;umemus per eandem definitionem contra&shy;<lb/>riorum ante po&longs;itam, &amp; ex &longs;ententia Ari&longs;totelis in categ. <!-- KEEP S--></s>
  
 <s>Quanti&shy;<lb/>tatis, magnum &amp; paruum apparenter duntaxat e&longs;&longs;e contraria. </s> <s>Quanti&shy;<lb/>tatis, magnum &amp; paruum apparenter duntaxat e&longs;&longs;e contraria. </s>
  
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 <s>Igitur &amp; qu&ecedil; circa <lb/>libram eueniunt ad circu&shy;<lb/>lum referuntur, &amp; qu&ecedil; cir&shy;<lb/>ca vectem ad libram, &amp; <lb/>forta&longs;&longs;is alia omnia, qu&aelig; <lb/>circa motiones mechani&shy;<lb/>cas, ad vectem.</s></p><p type="head"> <s>Igitur &amp; qu&ecedil; circa <lb/>libram eueniunt ad circu&shy;<lb/>lum referuntur, &amp; qu&ecedil; cir&shy;<lb/>ca vectem ad libram, &amp; <lb/>forta&longs;&longs;is alia omnia, qu&aelig; <lb/>circa motiones mechani&shy;<lb/>cas, ad vectem.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Secundum.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="greek">d<gap/>/u<gap/>eron</foreign> <emph type="italics"/>legamus &longs;i placet<emph.end type="italics"/> <foreign lang="greek">trh/ton.</foreign> <emph type="italics"/>Hic enim <lb/>tertia e&longs;t repugnantia in circulo ex contrar&yuml;s motionibus, quas <lb/>&longs;imul habet, ant&egrave; &longs;cilicet cum pars eius vna mouetur: oppo&longs;ita in <lb/>ip&longs;omet tempore pon&egrave; mouetur. </s> <s>Secundum.] <emph type="italics"/>Pro<emph.end type="italics"/> <foreign lang="greek">d<gap/>/u<gap/>eron</foreign> <emph type="italics"/>legamus &longs;i placet<emph.end type="italics"/> <foreign lang="greek">trh/ton.</foreign> <emph type="italics"/>Hic enim <lb/>tertia e&longs;t repugnantia in circulo ex contrar&yuml;s motionibus, quas <lb/>&longs;imul habet, ant&egrave; &longs;cilicet cum pars eius vna mouetur: oppo&longs;ita in <lb/>ip&longs;omet tempore pon&egrave; mouetur. </s>
  
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 <s>Pr&aelig;terea etiam, quod, <lb/>cum vna &longs;it ea linea, qu&aelig; <lb/>ex centro, nullum eorum, <lb/>qu&aelig; in ea &longs;unt, <expan abbr="p&utilde;ctorum">punctorum</expan>, <lb/>&aelig;qu&egrave; celeriter fertur: fed <lb/>hoc, quod longius e&longs;t ab <lb/>extremo eius immobili, <lb/>&longs;emper celerius: miranda <lb/>multa circa motiones cir&shy;<lb/>culi contingunt, vt in <expan abbr="&longs;e-qu&etilde;tibus">&longs;e&shy;<lb/>quentibus</expan> problematis fiet <lb/>manifc&longs;tum.</s></p><p type="head"> <s>Pr&aelig;terea etiam, quod, <lb/>cum vna &longs;it ea linea, qu&aelig; <lb/>ex centro, nullum eorum, <lb/>qu&aelig; in ea &longs;unt, <expan abbr="p&utilde;ctorum">punctorum</expan>, <lb/>&aelig;qu&egrave; celeriter fertur: fed <lb/>hoc, quod longius e&longs;t ab <lb/>extremo eius immobili, <lb/>&longs;emper celerius: miranda <lb/>multa circa motiones cir&shy;<lb/>culi contingunt, vt in <expan abbr="&longs;e-qu&etilde;tibus">&longs;e&shy;<lb/>quentibus</expan> problematis fiet <lb/>manifc&longs;tum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Pr&aelig;terea ctiam.] <emph type="italics"/>Quarta repugnantia e&longs;t in circulo ex in&aelig;&shy;<lb/>qualitate motuum in eiu&longs;dem line&aelig; circulum de&longs;cribentis diuer&shy;<lb/>&longs;is punctis. </s> <s>Pr&aelig;terea ctiam.] <emph type="italics"/>Quarta repugnantia e&longs;t in circulo ex in&aelig;&shy;<lb/>qualitate motuum in eiu&longs;dem line&aelig; circulum de&longs;cribentis diuer&shy;<lb/>&longs;is punctis. </s>
  
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 <s><emph type="italics"/>E&longs;to A B C, peripheria &longs;emidiametri maioris A E: item <lb/>D F G, peripheria &longs;emidiametri D H minoris. </s> <s><emph type="italics"/>E&longs;to A B C, peripheria &longs;emidiametri maioris A E: item <lb/>D F G, peripheria &longs;emidiametri D H minoris. </s>
  
 <s>Dico periphe&shy;<lb/>riam A B C maiorem peripheria D F G. </s> <s>Dico periphe&shy;<lb/>riam A B C maiorem peripheria D F G. <!-- KEEP S--></s>
  
 <s>Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul.<emph.end type="italics"/><lb/><figure id="fig4"/><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>&amp; D G diame&shy;<lb/>ter. </s> <s>Producatur enim A E <lb/>recta vt &longs;it A C <lb/>diameter po&longs;tul.<emph.end type="italics"/><lb/><figure id="fig4"/><lb/>2. <emph type="italics"/><expan abbr="it&etilde;">item</expan> D H vt &longs;it <lb/>&amp; D G diame&shy;<lb/>ter. </s>
  
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 5. ergo &amp; peripheria A B C ad peri&shy;<lb/>pheriam D F G: vt A E ad D H prop. </s> 5. ergo &amp; peripheria A B C ad peri&shy;<lb/>pheriam D F G: vt A E ad D H prop. </s>
  
 <s>11. lib. </s> <s>11. lib. <!-- REMOVE S-->eiu&longs;dem. </s>
  
  
 <s>eiu&longs;dem. </s> 
  
 <s>E&longs;t <lb/>autem A E maior: quam D H ex hypothe&longs;i. </s> <s>E&longs;t <lb/>autem A E maior: quam D H ex hypothe&longs;i. </s>
  
 <s>Erit igitur peri&shy;<lb/>pheria A B C maior: quam peripheria D F G. </s> <s>Erit igitur peri&shy;<lb/>pheria A B C maior: quam peripheria D F G. <!-- KEEP S--></s>
  
 <s>Et &longs;ic peripheria <lb/>remotioris puncti &agrave; centro maior e&longs;t peripheria puncti centro pro&shy;<lb/>pinquioris, quod fuit demon&longs;trandum.<emph.end type="italics"/></s></p><p type="main"> <s>Et &longs;ic peripheria <lb/>remotioris puncti &agrave; centro maior e&longs;t peripheria puncti centro pro&shy;<lb/>pinquioris, quod fuit demon&longs;trandum.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Hinc <lb/>Architecti Fabri, cum <expan abbr="h&atilde;c">hanc</expan> <lb/>in circulo naturam depre&shy;<lb/>hendi&longs;&longs;ent, <expan abbr="organ&utilde;">organum</expan> fabri&shy;<lb/>cantur principium occu&shy;<lb/>lentes, vt &longs;it de machina, <lb/>&longs;olum hoc, quod admira&shy;<lb/>bile, apertum: quod autem <lb/>cau&longs;a, occultum.</s></p><p type="head"> <s>Hinc <lb/>Architecti Fabri, cum <expan abbr="h&atilde;c">hanc</expan> <lb/>in circulo naturam depre&shy;<lb/>hendi&longs;&longs;ent, <expan abbr="organ&utilde;">organum</expan> fabri&shy;<lb/>cantur principium occu&shy;<lb/>lentes, vt &longs;it de machina, <lb/>&longs;olum hoc, quod admira&shy;<lb/>bile, apertum: quod autem <lb/>cau&longs;a, occultum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvod autem circulus.] <emph type="italics"/>Tertia repugnantia in vnius cir&shy;<lb/>culi contrar&yuml;s motionibus ante po&longs;ita amplius declaratur, ab <lb/>exemplo plurium: &longs;ed contiguorum ab vnica vi primaria &longs;ecundum <lb/>motus contrarios motorum. </s> <s>Qvod autem circulus.] <emph type="italics"/>Tertia repugnantia in vnius cir&shy;<lb/>culi contrar&yuml;s motionibus ante po&longs;ita amplius declaratur, ab <lb/>exemplo plurium: &longs;ed contiguorum ab vnica vi primaria &longs;ecundum <lb/>motus contrarios motorum. </s>
  
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 <s>Qui enim extra e&longs;t, maior <lb/>e&longs;t eo, qui intus.</s></p><p type="head"> <s>Qui enim extra e&longs;t, maior <lb/>e&longs;t eo, qui intus.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>De libra propter.] <emph type="italics"/>In hoc capite Ari&longs;toteles vult o&longs;tendere <lb/>cur libr&aelig; longiorum brachiorum &longs;int exactiores: quam libr&aelig; <lb/>breuiorum. </s> <s>De libra propter.] <emph type="italics"/>In hoc capite Ari&longs;toteles vult o&longs;tendere <lb/>cur libr&aelig; longiorum brachiorum &longs;int exactiores: quam libr&aelig; <lb/>breuiorum. </s>
  
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 <s>Manife&longs;tum igitur <lb/>quod latum <expan abbr="&longs;ec&utilde;dum">&longs;ecundum</expan> dia&shy;<lb/>metrum duabus lationi&shy;<lb/>bus nece&longs;&longs;e habet in ratio&shy;<lb/>ne laterum ferri.</s></p><p type="head"> <s>Manife&longs;tum igitur <lb/>quod latum <expan abbr="&longs;ec&utilde;dum">&longs;ecundum</expan> dia&shy;<lb/>metrum duabus lationi&shy;<lb/>bus nece&longs;&longs;e habet in ratio&shy;<lb/>ne laterum ferri.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Horum vero cau&longs;a.] <emph type="italics"/>In&aelig;qualium <expan abbr="circulor&utilde;">circulorum</expan> ab in&aelig;qualibus <lb/>radiis <expan abbr="de&longs;criptor&utilde;">de&longs;criptorum</expan>, &amp; maioris quidem &agrave; maiori multo ab&longs;tru&shy;<lb/>&longs;ior a&szlig;ignatur cau&longs;a ex radij de&longs;cribentis circulum duabus lationi&shy;<lb/>bus, qu&aelig; inter &longs;e <expan abbr="null&atilde;">nullam</expan> <expan abbr="ration&etilde;">rationem</expan> &longs;eruant. </s> <s>Horum vero cau&longs;a.] <emph type="italics"/>In&aelig;qualium <expan abbr="circulor&utilde;">circulorum</expan> ab in&aelig;qualibus <lb/>radiis <expan abbr="de&longs;criptor&utilde;">de&longs;criptorum</expan>, &amp; maioris quidem &agrave; maiori multo ab&longs;tru&shy;<lb/>&longs;ior a&szlig;ignatur cau&longs;a ex radij de&longs;cribentis circulum duabus lationi&shy;<lb/>bus, qu&aelig; inter &longs;e <expan abbr="null&atilde;">nullam</expan> <expan abbr="ration&etilde;">rationem</expan> &longs;eruant. </s>
  
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 <s>Cum igitur in.] <emph type="italics"/>Aggreditur demon&longs;trare rad&yuml; duas lationes <lb/>nullam habere rationem inter &longs;e. </s> <s>Cum igitur in.] <emph type="italics"/>Aggreditur demon&longs;trare rad&yuml; duas lationes <lb/>nullam habere rationem inter &longs;e. </s>
  
 <s>Syllog. </s> <s>Syllog. <!-- REMOVE S-->&longs;ic e&longs;t. </s>
  
  
 <s>&longs;ic e&longs;t. </s> 
  
 <s>Omne duabus latio&shy;<lb/>nibus rationem aliquam inter &longs;e &longs;eruantibus latum, fertur &longs;ecundum<emph.end type="italics"/><pb pagenum="30"/><emph type="italics"/>rectam. </s> <s>Omne duabus latio&shy;<lb/>nibus rationem aliquam inter &longs;e &longs;eruantibus latum, fertur &longs;ecundum<emph.end type="italics"/><pb pagenum="30"/><emph type="italics"/>rectam. </s>
  
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 <s>Si qua&shy;<lb/>drangulum duo&longs;que motus qui &aelig;quali celeritate fiant, alterum qui&shy;<lb/>dem per longitudinem: alterum vero per latitudinem intellexeris <lb/>dimetiens producetur recta exi&longs;tens linea, lib.  <s>Si qua&shy;<lb/>drangulum duo&longs;que motus qui &aelig;quali celeritate fiant, alterum qui&shy;<lb/>dem per longitudinem: alterum vero per latitudinem intellexeris <lb/>dimetiens producetur recta exi&longs;tens linea, lib.
  
 2. comm. </s> 2. comm. <!-- REMOVE S-->in def. </s>
  
  
 <s>in def. </s> 
  
 <s>rect&aelig; <lb/>line&aelig;. </s> <s>rect&aelig; <lb/>line&aelig;. </s>
  
 <s>Nunc igitur ponatur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>extremum radij duabus lationibus <lb/>de&longs;cribere circulum non digrediens &agrave; recta producere rectam, quod <lb/>e&longs;t contra naturam circuli. </s> <s>Nunc igitur ponatur<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>extremum radij duabus lationibus <lb/>de&longs;cribere circulum non digrediens &agrave; recta producere rectam, quod <lb/>e&longs;t contra naturam circuli. </s>
  
 <s>Non igitur du&aelig; lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ferun&shy;<lb/>tur in ratione<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g.</foreign> <emph type="italics"/>Sed h&icirc;c obiici pote&longs;t quod Sol motu pri&shy;<lb/>mi mobilis mouetur ab Oriente in Occidentem in 24. horis, &amp; motu <lb/>proprio ab Occidente in Orientem in aliquo tempore quantum e&longs;t <lb/>quod re&longs;pondet &aelig;quatori coa&longs;cendenti cum 59'. 8&quot;. Eclyptic&aelig;. </s> <s>Non igitur du&aelig; lationes ip&longs;ius<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ferun&shy;<lb/>tur in ratione<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g.</foreign> <emph type="italics"/>Sed h&icirc;c obiici pote&longs;t quod Sol motu pri&shy;<lb/>mi mobilis mouetur ab Oriente in Occidentem in 24. horis, &amp; motu <lb/>proprio ab Occidente in Orientem in aliquo tempore quantum e&longs;t <lb/>quod re&longs;pondet &aelig;quatori coa&longs;cendenti cum 59'. 8&quot;. Eclyptic&aelig;. <!-- KEEP S--></s>
  
 <s>Et &longs;ic <lb/>eius du&aelig; lationes &longs;unt in ratione aliqua, nec tamen Sol fertur &longs;ecun&shy;<lb/>dum rectam &longs;ed <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> arcum Eclyptic&aelig;. </s> <s>Et &longs;ic <lb/>eius du&aelig; lationes &longs;unt in ratione aliqua, nec tamen Sol fertur &longs;ecun&shy;<lb/>dum rectam &longs;ed <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> arcum Eclyptic&aelig;. <!-- KEEP S--></s>
  
 <s>Ita e&longs;t, ob id <expan abbr="dicend&utilde;">dicendum</expan> hic <lb/>dictas ab Ari&longs;totele du&aelig; lationes non &longs;impliciter <expan abbr="intellig&etilde;das">intelligendas</expan>: &longs;ed ta&shy;<lb/>les, qu&aelig; <expan abbr="fer&atilde;tur">ferantur</expan> amb&aelig; <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> rectam. </s> <s>Ita e&longs;t, ob id <expan abbr="dicend&utilde;">dicendum</expan> hic <lb/>dictas ab Ari&longs;totele du&aelig; lationes non &longs;impliciter <expan abbr="intellig&etilde;das">intelligendas</expan>: &longs;ed ta&shy;<lb/>les, qu&aelig; <expan abbr="fer&atilde;tur">ferantur</expan> amb&aelig; <expan abbr="&longs;ecund&utilde;">&longs;ecundum</expan> rectam. </s>
  
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 <s>Non igi&shy;<lb/>tur &longs;ecundum rectam pro&shy;<lb/>gredietur, id quod fertur <lb/>in nulla ratione, nulloque <lb/>in tempore. [Si enim <expan abbr="&longs;e-c&utilde;dum">&longs;e&shy;<lb/>cundum</expan> rationem aliquam <lb/>latum &longs;it in aliquo tempo&shy;<lb/>re, nece&longs;&longs;e e&longs;t illud tempus <lb/>rectam e&longs;&longs;e lationem, pro&shy;<lb/>pter ea qu&aelig; ante dicta &longs;unt.] Itaque circulare e&longs;t quod <lb/>&longs;ecundum duas lationes latum e&longs;t in nulla ratione nullo <lb/>in tempore.</s></p><p type="head"> <s>Non igi&shy;<lb/>tur &longs;ecundum rectam pro&shy;<lb/>gredietur, id quod fertur <lb/>in nulla ratione, nulloque <lb/>in tempore. [Si enim <expan abbr="&longs;e-c&utilde;dum">&longs;e&shy;<lb/>cundum</expan> rationem aliquam <lb/>latum &longs;it in aliquo tempo&shy;<lb/>re, nece&longs;&longs;e e&longs;t illud tempus <lb/>rectam e&longs;&longs;e lationem, pro&shy;<lb/>pter ea qu&aelig; ante dicta &longs;unt.] Itaque circulare e&longs;t quod <lb/>&longs;ecundum duas lationes latum e&longs;t in nulla ratione nullo <lb/>in tempore.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i excmpli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="fig7"/><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame&shy;<lb/>trum<emph.end type="italics"/> <foreign lang="greek">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, qu&aelig; erit diameter <lb/>figur&aelig; &agrave; lateribus alterius rationis <lb/>con&longs;titut&aelig;, vt e&longs;t in pr&aelig;&longs;enti dia&shy;<lb/>grammate<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="greek">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i.<emph.end type="italics"/></s></p><pb pagenum="32"/><p type="main"> <s>Si enim in alia.] <emph type="italics"/>Locus hic paulo ob&longs;curior, debet &longs;ic intelligi, <lb/>vt &longs;i excmpli gratia, a duabus lationibus latum non feratur in <lb/>ratione quidem data<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">a g</foreign>: <emph type="italics"/>&longs;ed<emph.end type="italics"/><lb/><figure id="fig7"/><lb/><emph type="italics"/>in alia, non feretur &longs;ecundum diame&shy;<lb/>trum<emph.end type="italics"/> <foreign lang="greek">a h,</foreign> <emph type="italics"/>nihilominus tamen feretur <lb/>&longs;ecundum rectam, qu&aelig; erit diameter <lb/>figur&aelig; &agrave; lateribus alterius rationis <lb/>con&longs;titut&aelig;, vt e&longs;t in pr&aelig;&longs;enti dia&shy;<lb/>grammate<emph.end type="italics"/> <foreign lang="greek">a x</foreign> <emph type="italics"/>diameter quadrilateri <lb/>&longs;ub<emph.end type="italics"/> <foreign lang="greek">a d, a e</foreign> <emph type="italics"/>comprehen&longs;i.<emph.end type="italics"/></s></p><pb pagenum="32"/><p type="main">
  
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 <s>At h&icirc;c vt inter peripheriam &amp; diametrum &longs;it aliqua ratio, veluti <lb/>inter arcum &amp; &longs;ubtendentem: h&aelig;c tamen neque numeris exprimi <lb/>pote&longs;t, nec rectis lineis Geometrice vt videre e&longs;t ex Archimede <lb/>lib.<emph.end type="italics"/> <foreign lang="greek">w_<gap/>i\ uetsh/d. </foreign></s> <s>At h&icirc;c vt inter peripheriam &amp; diametrum &longs;it aliqua ratio, veluti <lb/>inter arcum &amp; &longs;ubtendentem: h&aelig;c tamen neque numeris exprimi <lb/>pote&longs;t, nec rectis lineis Geometrice vt videre e&longs;t ex Archimede <lb/>lib.<emph.end type="italics"/> <foreign lang="greek">w_<gap/>i\ uetsh/d. </foreign></s>
  
 <s><foreign lang="greek">kuk,</foreign> <emph type="italics"/>&amp; Ptol. </s> <s><foreign lang="greek">kuk,</foreign> <emph type="italics"/>&amp; Ptol. <!-- REMOVE S-->lib.
  
 <s>lib.  
  
 1.<emph.end type="italics"/> <foreign lang="greek">me/gal. </foreign></s> 1.<emph.end type="italics"/> <foreign lang="greek">me/gal. </foreign></s>
  
  
  
 <s><foreign lang="greek">dw<gap/>.</foreign> <emph type="italics"/>quod autem ad <lb/>prius attinet in lationibus illis tempus admittitur, &longs;ed hoc e&longs;t eiu&longs;mo&shy;<lb/>di, vt nullum eius detur in&longs;tans, quo vna latio fiat, quo etiam non <lb/>&amp; altera itidem fiat: quod prioribus licet commune e&longs;&longs;e po&szlig;it: pro&shy;<lb/>pter tamen laterum in&aelig;qualitatem vbi in &aelig;qualia dantur, non ita <lb/>&longs;implex &amp; indiui&longs;ibile e&longs;t. </s> <s><foreign lang="greek">dw<gap/>.</foreign> <emph type="italics"/>quod autem ad <lb/>prius attinet in lationibus illis tempus admittitur, &longs;ed hoc e&longs;t eiu&longs;mo&shy;<lb/>di, vt nullum eius detur in&longs;tans, quo vna latio fiat, quo etiam non <lb/>&amp; altera itidem fiat: quod prioribus licet commune e&longs;&longs;e po&szlig;it: pro&shy;<lb/>pter tamen laterum in&aelig;qualitatem vbi in &aelig;qualia dantur, non ita <lb/>&longs;implex &amp; indiui&longs;ibile e&longs;t. </s>
  
 <s>C&aelig;terum duas has motiones facile ani&shy;<lb/>mo concipiet, qui viderit pueros no&longs;trates &longs;ub medio vere, quo genus <lb/>hoc in&longs;ecti in ro&longs;ar&yuml;s no&longs;tris abundat, captam vnam grandiorem <lb/>mu&longs;cam viridem Cathelinam ip&longs;i vocant, pede adfuniculum alliga-<emph.end type="italics"/><pb pagenum="33"/><emph type="italics"/>tam permittere volare: ita tamen vt digitis alterum extremum funi&shy;<lb/>culi retineant. </s> <s>C&aelig;terum duas has motiones facile ani&shy;<lb/>mo concipiet, qui viderit pueros no&longs;trates &longs;ub medio vere, quo genus <lb/>hoc in&longs;ecti in ro&longs;ar&yuml;s no&longs;tris abundat, captam vnam grandiorem <lb/>mu&longs;cam viridem Cathelinam ip&longs;i vocant, pede adfuniculum alliga-<emph.end type="italics"/><pb pagenum="33"/><emph type="italics"/>tam permittere volare: ita tamen vt digitis alterum extremum funi&shy;<lb/>culi retineant. </s>
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 <s>Et <lb/>fieri &agrave; <expan abbr="c&etilde;tro">centro</expan> <expan abbr="perpendicula-r&etilde;">perpendicula&shy;<lb/>rem</expan> [dem&otilde;&longs;trem^{9}]. Sit circu&shy;<pb pagenum="34"/><gap/><lb/>lus <foreign lang="greek">a b g,</foreign> &amp; extremum <foreign lang="greek">b</foreign><lb/>feratur ad <foreign lang="greek">d,</foreign> perueniet &longs;a&shy;<lb/>ne aliquando ad <foreign lang="greek">g.</foreign> [Si igi&shy;<lb/>tur ferebatur in ratione <lb/>quam habet <foreign lang="greek">b e</foreign> ad <foreign lang="greek">e g,</foreign> fe&shy;<lb/>rebatur &longs;ecundum diame&shy;<lb/>trum <foreign lang="greek"><gap/> g</foreign>: Atnunc cum in <lb/>nulla ratione feratur, &longs;e&shy;<lb/>cundum peripheriam <foreign lang="greek">b e g</foreign><lb/>feretur.]</s></p><p type="head"> <s>Et <lb/>fieri &agrave; <expan abbr="c&etilde;tro">centro</expan> <expan abbr="perpendicula-r&etilde;">perpendicula&shy;<lb/>rem</expan> [dem&otilde;&longs;trem^{9}]. Sit circu&shy;<pb pagenum="34"/><gap/><lb/>lus <foreign lang="greek">a b g,</foreign> &amp; extremum <foreign lang="greek">b</foreign><lb/>feratur ad <foreign lang="greek">d,</foreign> perueniet &longs;a&shy;<lb/>ne aliquando ad <foreign lang="greek">g.</foreign> [Si igi&shy;<lb/>tur ferebatur in ratione <lb/>quam habet <foreign lang="greek">b e</foreign> ad <foreign lang="greek">e g,</foreign> fe&shy;<lb/>rebatur &longs;ecundum diame&shy;<lb/>trum <foreign lang="greek"><gap/> g</foreign>: Atnunc cum in <lb/>nulla ratione feratur, &longs;e&shy;<lb/>cundum peripheriam <foreign lang="greek">b e g</foreign><lb/>feretur.]</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvod vero recta.] <emph type="italics"/>Quia &longs;uperioris &longs;yllogi&longs;mi a&longs;&longs;umptio a&longs;&longs;u&shy;<lb/>mebat <expan abbr="Radi&utilde;">Radium</expan> duabus &longs;imul ferri lationibus, id ip&longs;um h&icirc;c breui&shy;<lb/>ter, ideo valde ob&longs;cur&egrave; confirmatur. </s> <s>Qvod vero recta.] <emph type="italics"/>Quia &longs;uperioris &longs;yllogi&longs;mi a&longs;&longs;umptio a&longs;&longs;u&shy;<lb/>mebat <expan abbr="Radi&utilde;">Radium</expan> duabus &longs;imul ferri lationibus, id ip&longs;um h&icirc;c breui&shy;<lb/>ter, ideo valde ob&longs;cur&egrave; confirmatur. </s>
  
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 <s>Non igitur vna latione tantum fer&shy;<lb/>tur: fertur ergo pluribus. </s> <s>Non igitur vna latione tantum fer&shy;<lb/>tur: fertur ergo pluribus. </s>
  
 <s>Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, &amp; ab&longs;ce&shy;<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror-<emph.end type="italics"/><lb/><figure id="fig9"/><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage&shy;<lb/>tur longius, quam &aelig;qualitas di&longs;tanti&aelig; vndi&shy;<lb/>que &agrave; centro &longs;eruand&aelig; permittit, vt idem<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ver&longs;us L. </s> <s>Et quidem vna, vt <lb/>antror&longs;um: qua qua &longs;i diffunditur, &amp; ab&longs;ce&shy;<lb/>dit foras, vt<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us E in hoc diagrammate: altera vt retror-<emph.end type="italics"/><lb/><figure id="fig9"/><lb/><emph type="italics"/>&longs;um ver&longs;us centrum: qua retrahitur, ne euage&shy;<lb/>tur longius, quam &aelig;qualitas di&longs;tanti&aelig; vndi&shy;<lb/>que &agrave; centro &longs;eruand&aelig; permittit, vt idem<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ver&longs;us L. <!-- KEEP S--></s>
  
 <s>V traque autem h&aelig;c latio quanta &longs;it <lb/>men&longs;uraturlineisrectis, quarum altera in po&longs;te&shy;<lb/>riore diaorammate e&longs;t &longs;inus rectus<emph.end type="italics"/> <foreign lang="greek">g e,</foreign> <emph type="italics"/>altera <lb/>ver&ograve; e&longs;t &longs;inus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b g.</foreign></s></p><pb pagenum="35"/><p type="main"> <s>V traque autem h&aelig;c latio quanta &longs;it <lb/>men&longs;uraturlineisrectis, quarum altera in po&longs;te&shy;<lb/>riore diaorammate e&longs;t &longs;inus rectus<emph.end type="italics"/> <foreign lang="greek">g e,</foreign> <emph type="italics"/>altera <lb/>ver&ograve; e&longs;t &longs;inus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b g.</foreign><!-- KEEP S--></s></p><pb pagenum="35"/><p type="main">
  
 <s>Demon&longs;tremus.] <emph type="italics"/>Dee&longs;t hoc vocabulum in Gr&aelig;co &longs;ine quo <lb/>&longs;en&longs;us e&longs;t imperfectus.<emph.end type="italics"/></s></p><p type="main"> <s>Demon&longs;tremus.] <emph type="italics"/>Dee&longs;t hoc vocabulum in Gr&aelig;co &longs;ine quo <lb/>&longs;en&longs;us e&longs;t imperfectus.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Omni igitur circu&shy;<lb/>lum de&longs;cribenti hoc con&shy;<lb/>tingit.</s></p><p type="head"> <s>Omni igitur circu&shy;<lb/>lum de&longs;cribenti hoc con&shy;<lb/>tingit.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Si vero duorum.] <emph type="italics"/>Vbi confirmauit in omni radio circulum <lb/>de&longs;cribente duas lationes ine&longs;&longs;e, nunc eas comparat in rad&yuml;s in&aelig;&shy;<lb/>qualibus, quod ad celeritatem &amp; tarditatem attinet. </s> <s>Si vero duorum.] <emph type="italics"/>Vbi confirmauit in omni radio circulum <lb/>de&longs;cribente duas lationes ine&longs;&longs;e, nunc eas comparat in rad&yuml;s in&aelig;&shy;<lb/>qualibus, quod ad celeritatem &amp; tarditatem attinet. </s>
  
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 <s>quia <lb/>enim centro vicinior e&longs;t ad <lb/>&longs;e <expan abbr="reuell&etilde;ti">reuellenti</expan>, vincitur magis.</s></p><p type="head"> <s>quia <lb/>enim centro vicinior e&longs;t ad <lb/>&longs;e <expan abbr="reuell&etilde;ti">reuellenti</expan>, vincitur magis.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Et fertur motu.] <emph type="italics"/>E duobus motibus in extremo rad&yuml; mobili <lb/>alterum &longs;ecundum naturam e&longs;&longs;e dicit, nempe qui e&longs;t &longs;ecundum <lb/>peripheriam, alterum pr&aelig;ter naturam, qui e&longs;t in tran&longs;uer&longs;um, &amp; <lb/>ver&longs;us centrum. </s> <s>Et fertur motu.] <emph type="italics"/>E duobus motibus in extremo rad&yuml; mobili <lb/>alterum &longs;ecundum naturam e&longs;&longs;e dicit, nempe qui e&longs;t &longs;ecundum <lb/>peripheriam, alterum pr&aelig;ter naturam, qui e&longs;t in tran&longs;uer&longs;um, &amp; <lb/>ver&longs;us centrum. </s>
  
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 <s>E&longs;t autem <foreign lang="greek">w n</foreign> &aelig;qualis ip&longs;i <lb/><foreign lang="greek">q z.</foreign> In quanto vero tempo&shy;<lb/>re <foreign lang="greek">a x</foreign> peragrauit <foreign lang="greek">x q,</foreign> in <lb/><expan abbr="t&atilde;to">tanto</expan> in maiore circulo ex&shy;<lb/>tremum <foreign lang="greek">a b</foreign> non maiorem <lb/><foreign lang="greek">b w</foreign> peragrauit (etenim <lb/>motus &longs;ecundum naturam <lb/>&aelig;qualis e&longs;&longs;et) pr&aelig;ter na&shy;<lb/>turam vero minor erat, nempe <foreign lang="greek">b n</foreign> quam <foreign lang="greek">x z.</foreign></s></p><p type="head"> <s>E&longs;t autem <foreign lang="greek">w n</foreign> &aelig;qualis ip&longs;i <lb/><foreign lang="greek">q z.</foreign> In quanto vero tempo&shy;<lb/>re <foreign lang="greek">a x</foreign> peragrauit <foreign lang="greek">x q,</foreign> in <lb/><expan abbr="t&atilde;to">tanto</expan> in maiore circulo ex&shy;<lb/>tremum <foreign lang="greek">a b</foreign> non maiorem <lb/><foreign lang="greek">b w</foreign> peragrauit (etenim <lb/>motus &longs;ecundum naturam <lb/>&aelig;qualis e&longs;&longs;et) pr&aelig;ter na&shy;<lb/>turam vero minor erat, nempe <foreign lang="greek">b n</foreign> quam <foreign lang="greek">x z.</foreign></s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvod vero minor.] <emph type="italics"/>Altera e&longs;t confirmatio &longs;ed<emph.end type="italics"/> <foreign lang="greek"><gap/>ammikh\</foreign><lb/><emph type="italics"/>linearis a&longs;&longs;umptionis &longs;yllogi&longs;mi pr&aelig;cedentis. </s> <s>Qvod vero minor.] <emph type="italics"/>Altera e&longs;t confirmatio &longs;ed<emph.end type="italics"/> <foreign lang="greek"><gap/>ammikh\</foreign><lb/><emph type="italics"/>linearis a&longs;&longs;umptionis &longs;yllogi&longs;mi pr&aelig;cedentis. </s>
  
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 34. lib.  34. lib.
  
 1.<emph.end type="italics"/></s></p><p type="main"> 1.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>In circulis.] <emph type="italics"/>Ex hoc loco elicitur hoc theorema. </s> <s>In circulis.] <emph type="italics"/>Ex hoc loco elicitur hoc theorema. </s>
  
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 <s>Expo&shy;<lb/><figure id="fig10"/><lb/>&longs;itio.</s></p><p type="main"> <s>Expo&shy;<lb/><figure id="fig10"/><lb/>&longs;itio.</s></p><p type="main">
  
 <s><emph type="italics"/>Sunto <lb/>duo cir <lb/>culi in&shy;<lb/>&aelig;qua&shy;<lb/>les A <lb/>B C ma <lb/>ior &amp; <lb/>D E F <lb/>minor, perpendiculares &longs;int B K, E I &amp; ablat&aelig; A K, D I.<emph.end type="italics"/></s></p><pb pagenum="41"/><p type="main"> <s><emph type="italics"/>Sunto <lb/>duo cir <lb/>culi in&shy;<lb/>&aelig;qua&shy;<lb/>les A <lb/>B C ma <lb/>ior &amp; <lb/>D E F <lb/>minor, perpendiculares &longs;int B K, E I &amp; ablat&aelig; A K, D I.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="41"/><p type="main">
  
 <s>Deter. <emph type="italics"/>Dico D I e&longs;&longs;e maiorem ip&longs;a A K qu&aelig; e&longs;t &longs;egmentum in <lb/>maiori circulo. </s> <s>Deter. <emph type="italics"/>Dico D I e&longs;&longs;e maiorem ip&longs;a A K qu&aelig; e&longs;t &longs;egmentum in <lb/>maiori circulo. </s>
  
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 3. ducatur A k diameter. </s> 3. ducatur A k diameter. </s>
  
 <s>De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centr&utilde;">centrum</expan><emph.end type="italics"/><lb/><figure id="fig11"/><lb/><emph type="italics"/>inter A &amp; D, &amp; interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. </s> <s>De&longs;cribendus autem &longs;it eo <lb/>minor, cuius accipiatur E <expan abbr="centr&utilde;">centrum</expan><emph.end type="italics"/><lb/><figure id="fig11"/><lb/><emph type="italics"/>inter A &amp; D, &amp; interuallo <lb/>E A de&longs;cribatur A F G. hic <lb/>tanget interius circulum A B k <lb/>C datum in puncto A. <!-- KEEP S--></s>
  
 <s>Nam &longs;i <lb/>&amp; &longs;ecet, vt in puncto H, ducta <lb/>H E. erit &aelig;qualis ip&longs;i E A def. <lb/></s> <s>Nam &longs;i <lb/>&amp; &longs;ecet, vt in puncto H, ducta <lb/>H E. erit &aelig;qualis ip&longs;i E A def. <lb/></s>
  
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 31. lib.  31. lib.
  
 1. <lb/>&amp; per eandem parallela M N qu&aelig; per 34. lib. </s> 1. <lb/>&amp; per eandem parallela M N qu&aelig; per 34. lib. <!-- REMOVE S-->eiu&longs;dem cum &longs;it <lb/>&aelig;qualis ip&longs;i B K erit &amp; &aelig;qualis ip&longs;i. </s>
  
  
 <s>eiu&longs;dem cum &longs;it <lb/>&aelig;qualis ip&longs;i B K erit &amp; &aelig;qualis ip&longs;i. </s> 
  
 <s>E I ax. </s> <s>E I ax. </s>
  
 <s>1. connectantur M H, <lb/>E H po&longs;t. </s> <s>1. connectantur M H, <lb/>E H po&longs;t. </s>
  
 <s>1.<emph.end type="italics"/></s></p><p type="main"> <s>1.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Demon&longs;t. <emph type="italics"/>Po&longs;tquam ax. </s> <s>Demon&longs;t. <emph type="italics"/>Po&longs;tquam ax. </s>
  
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 3. &amp; 29. lib.  3. &amp; 29. lib.
  
 3. &amp; &longs;icreliquum latus N H &aelig;quale e&longs;t re&shy;<lb/>liquo I H. </s> 3. &amp; &longs;icreliquum latus N H &aelig;quale e&longs;t re&shy;<lb/>liquo I H. <!-- KEEP S--></s>
  
 <s>Ergo cum tota A N &aelig;qualis D I &longs;it maior A K <lb/>parte &longs;ua ax. </s> <s>Ergo cum tota A N &aelig;qualis D I &longs;it maior A K <lb/>parte &longs;ua ax. </s>
  
 <s>9. erit &amp; D I maior ip&longs;a A K.<emph.end type="italics"/></s></p><p type="main"> <s>9. erit &amp; D I maior ip&longs;a A K.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Concl. <emph type="italics"/>Ergo perpendiculares &agrave; peripher&yuml;s in &longs;emidiametros &amp; <lb/>ct. </s> <s>Concl. <emph type="italics"/>Ergo perpendiculares &agrave; peripher&yuml;s in &longs;emidiametros &amp; <lb/>ct. </s>
  
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 <s><margin.target id="marg13"/>Vetba &longs;i&shy;<lb/>gnis inclu&longs;a <lb/>in <expan abbr="c&otilde;textu">contextu</expan> <lb/>Gr&ecedil;co quia <lb/>redundant <lb/>non verti&shy;<lb/>mus.</s></p><p type="head"> <s><margin.target id="marg13"/>Vetba &longs;i&shy;<lb/>gnis inclu&longs;a <lb/>in <expan abbr="c&otilde;textu">contextu</expan> <lb/>Gr&ecedil;co quia <lb/>redundant <lb/>non verti&shy;<lb/>mus.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>At oportet.] <emph type="italics"/>Nunc o&longs;tendit in maiore circulo motum &longs;ecun&shy;<lb/>dum naturam maiorem e&longs;&longs;e motu &longs;ecundum naturam in mino&shy;<lb/>re circulo eodem tempore factum. </s> <s>At oportet.] <emph type="italics"/>Nunc o&longs;tendit in maiore circulo motum &longs;ecun&shy;<lb/>dum naturam maiorem e&longs;&longs;e motu &longs;ecundum naturam in mino&shy;<lb/>re circulo eodem tempore factum. </s>
  
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 <s>vt &longs;cribit autem Ptolo&shy;<lb/>m&aelig;us in lib.  <s>vt &longs;cribit autem Ptolo&shy;<lb/>m&aelig;us in lib.
  
 de Analemmate, &amp; Simplicius in lib. </s> de Analemmate, &amp; Simplicius in lib. <!-- REMOVE S-->de Dimen&longs;ione, <lb/>men&longs;ura cuiu&longs;cunque rei debet e&longs;&longs;e &longs;tata, determinata, &amp; non indefi&shy;<lb/>nita. </s>
  
  
 <s>de Dimen&longs;ione, <lb/>men&longs;ura cuiu&longs;cunque rei debet e&longs;&longs;e &longs;tata, determinata, &amp; non indefi&shy;<lb/>nita. </s> 
  
 <s>Talis autem e&longs;t perpendicularis ad linearum reliquarum dimen&shy;<lb/>&longs;ionem.<emph.end type="italics"/></s></p><p type="main"> <s>Talis autem e&longs;t perpendicularis ad linearum reliquarum dimen&shy;<lb/>&longs;ionem.<emph.end type="italics"/></s></p><p type="main">
  
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 16. lib.  16. lib.
  
 5.<emph.end type="italics"/></s></p><p type="main"> 5.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi&shy;<lb/>tur punctum &agrave; centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere.<emph.end type="italics"/></s></p><p type="main"> <s>Ob hanc igitur cau&longs;am.] <emph type="italics"/>Conclu&longs;io qua tandem concludi&shy;<lb/>tur punctum &agrave; centro di&longs;tantius, vt eadem vi &longs;it motum, celerius <lb/>ferri, id e&longs;t eodem tempore maius loci &longs;patium conficere.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Nihil enim <lb/>prohibet <expan abbr="minor&etilde;">minorem</expan> permea&shy;<lb/>ri magnitudinem: quam vt <lb/>vi&longs;ui &longs;it manife&longs;ta.</s></p><p type="head"> <s>Nihil enim <lb/>prohibet <expan abbr="minor&etilde;">minorem</expan> permea&shy;<lb/>ri magnitudinem: quam vt <lb/>vi&longs;ui &longs;it manife&longs;ta.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvod vero propterea libr&aelig;.] <foreign lang="greek"><gap/>u<gap/>s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek"><gap/>u<gap/>n</foreign> <emph type="italics"/>pr&aelig;ter iu&shy;<lb/>gum, remigum &longs;edes, &amp; tran&longs;tra curruum &amp; nauium &longs;ignifi&shy;<lb/>cat etiam libram &amp; &longs;tateram, hinc illud Pythagor&aelig;<emph.end type="italics"/> <foreign lang="greek">mh\zu<gap/>n u(per&shy;<lb/><gap/>a/inein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris &amp; vt annotat Bud&aelig;us<emph.end type="italics"/> <foreign lang="greek">zu<gap/>a/&shy;<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="p&otilde;deribus">ponderibus</expan> pr&aelig;fecti ap&shy;<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena &amp; examinata &aelig;quitate <lb/>&agrave; Zygo quod e&longs;t libra publice temperata &amp; con&longs;tituta, vt quemad&shy;<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam.<emph.end type="italics"/><lb/><arrow.to.target n="marg14"/><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>&amp; pondus &aelig;quum voluntas eius.<emph.end type="italics"/></s></p><p type="margin"> <s>Qvod vero propterea libr&aelig;.] <foreign lang="greek"><gap/>u<gap/>s</foreign> <emph type="italics"/>vel<emph.end type="italics"/> <foreign lang="greek"><gap/>u<gap/>n</foreign> <emph type="italics"/>pr&aelig;ter iu&shy;<lb/>gum, remigum &longs;edes, &amp; tran&longs;tra curruum &amp; nauium &longs;ignifi&shy;<lb/>cat etiam libram &amp; &longs;tateram, hinc illud Pythagor&aelig;<emph.end type="italics"/> <foreign lang="greek">mh\zu<gap/>n u(per&shy;<lb/><gap/>a/inein</foreign> <emph type="italics"/>&longs;tateram ne tran&longs;grediaris &amp; vt annotat Bud&aelig;us<emph.end type="italics"/> <foreign lang="greek">zu<gap/>a/&shy;<lb/>tai</foreign> <emph type="italics"/>&longs;unt libripendes per vrbes con&longs;tituti, qui <expan abbr="p&otilde;deribus">ponderibus</expan> pr&aelig;fecti ap&shy;<lb/>pellantur, vnde Zygo&longs;tatica fides pro plena &amp; examinata &aelig;quitate <lb/>&agrave; Zygo quod e&longs;t libra publice temperata &amp; con&longs;tituta, vt quemad&shy;<lb/>modum ait Vitruuius, vindicet ab iniquitate iu&longs;tis moribus vitam.<emph.end type="italics"/><lb/><arrow.to.target n="marg14"/><lb/><emph type="italics"/>Statera enim dolo&longs;a, vt dixit Sapiens, abhominatio e&longs;t apud Deum, <lb/>&amp; pondus &aelig;quum voluntas eius.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg14"/>Initio <lb/>cap.  <s><margin.target id="marg14"/>Initio <lb/>cap.
  
 11. <lb/>Prouerb.</s></p><p type="main"> 11. <lb/>Prouerb.<!-- KEEP S--></s></p><p type="main">
  
 <s>Agina fit cen&shy;<lb/><figure id="fig12"/><lb/><expan abbr="tr&utilde;">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari&shy;<lb/>&longs;toteles <expan abbr="acc&otilde;modat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltim&ograve; <lb/><expan abbr="demon&longs;trat&atilde;">demon&longs;tratam</expan>. </s> <s>Agina fit cen&shy;<lb/><figure id="fig12"/><lb/><expan abbr="tr&utilde;">trum</expan>.] <emph type="italics"/><expan abbr="Tand&etilde;">Tandem</expan> Ari&shy;<lb/>&longs;toteles <expan abbr="acc&otilde;modat">accommodat</expan> <lb/>problema <expan abbr="propo&longs;it&utilde;">propo&longs;itum</expan> <lb/>de libra ad circuli <lb/><expan abbr="proprietat&etilde;">proprietatem</expan> vltim&ograve; <lb/><expan abbr="demon&longs;trat&atilde;">demon&longs;tratam</expan>. </s>
  
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 <s>Ligni <expan abbr="en&itilde;">enim</expan> <lb/>grauior e&longs;t illa pars, vbi ra&shy;<lb/>dix, E&longs;t vero nodus qu&aelig;&shy;<lb/>dam radix.</s></p><pb pagenum="47"/><p type="head"> <s>Ligni <expan abbr="en&itilde;">enim</expan> <lb/>grauior e&longs;t illa pars, vbi ra&shy;<lb/>dix, E&longs;t vero nodus qu&aelig;&shy;<lb/>dam radix.</s></p><pb pagenum="47"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>In magno autem.] <emph type="italics"/>Ex his colligitur fieri po&longs;&longs;e libram, qu&aelig; <lb/>examinabit granum vnum, immo grani &longs;ecundam, tertiam, <lb/>quartam partem. </s> <s>In magno autem.] <emph type="italics"/>Ex his colligitur fieri po&longs;&longs;e libram, qu&aelig; <lb/>examinabit granum vnum, immo grani &longs;ecundam, tertiam, <lb/>quartam partem. </s>
  
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 <s><margin.target id="marg15"/>Lib. 1. de <lb/>&longs;ubt,</s></p><p type="margin"> <s><margin.target id="marg15"/>Lib. 1. de <lb/>&longs;ubt,</s></p><p type="margin">
  
 <s><margin.target id="marg16"/>Prouerb. </s> <s><margin.target id="marg16"/>Prouerb. <!-- REMOVE S-->c. <lb/><!-- REMOVE S-->10.</s>
  
 <s>c. <lb/></s> 
  
 <s>10.</s></p><p type="main"> 
  </p><p type="main">
  
 <s>Purpur&aelig; venditores.] <foreign lang="greek">a(lour<gap/>pw/lom</foreign> <emph type="italics"/>dicuntur quia<emph.end type="italics"/> <foreign lang="greek">a(/lour&shy;<lb/>gon</foreign> <emph type="italics"/>purpura e&longs;t<emph.end type="italics"/> <foreign lang="greek"><gap/>po\ tou_ a(/ls kai\ e)/r<gap/>n</foreign> <emph type="italics"/>&agrave; maris opere. </s> <s>Purpur&aelig; venditores.] <foreign lang="greek">a(lour<gap/>pw/lom</foreign> <emph type="italics"/>dicuntur quia<emph.end type="italics"/> <foreign lang="greek">a(/lour&shy;<lb/>gon</foreign> <emph type="italics"/>purpura e&longs;t<emph.end type="italics"/> <foreign lang="greek"><gap/>po\ tou_ a(/ls kai\ e)/r<gap/>n</foreign> <emph type="italics"/>&agrave; maris opere. </s>
  
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 <s><expan abbr="Itaq;">Itaque</expan> nece&longs;&longs;e e&longs;t, quod <lb/>plus e&longs;t deor&longs;um vergere, <lb/>incumbente <expan abbr="p&otilde;dere">pondere</expan> in par&shy;<lb/>te librilis &longs;ur&longs;um rapta, do&shy;<lb/>nec venerit e&ograve;, vbi ad per&shy;<lb/>pendicularem ip&longs;am librile <lb/>bifariam diuiditur. </s> <s><expan abbr="Itaq;">Itaque</expan> nece&longs;&longs;e e&longs;t, quod <lb/>plus e&longs;t deor&longs;um vergere, <lb/>incumbente <expan abbr="p&otilde;dere">pondere</expan> in par&shy;<lb/>te librilis &longs;ur&longs;um rapta, do&shy;<lb/>nec venerit e&ograve;, vbi ad per&shy;<lb/>pendicularem ip&longs;am librile <lb/>bifariam diuiditur. </s>
  
 <s>E&longs;to li&shy;<lb/>brile rectum <foreign lang="greek">b y,</foreign> trutina <foreign lang="greek">a <lb/>d</foreign>: at hoc deor&longs;um demi&longs;&longs;o <lb/>&longs;it perpendicularis <foreign lang="greek">a d m.</foreign><lb/>Si igitur pondus impona&shy;<lb/>tur in lance <foreign lang="greek">b,</foreign> erit <foreign lang="greek">b</foreign> vbi <foreign lang="greek">e, <lb/>&amp; g</foreign> vbi <foreign lang="greek">z.</foreign> Itaque recta bi&shy;<lb/>fariam diuidens librile, pri. <lb/></s> <s>E&longs;to li&shy;<lb/>brile rectum <foreign lang="greek">b y,</foreign> trutina <foreign lang="greek">a <lb/>d</foreign>: at hoc deor&longs;um demi&longs;&longs;o <lb/>&longs;it perpendicularis <foreign lang="greek">a d m.</foreign><lb/>Si igitur pondus impona&shy;<lb/>tur in lance <foreign lang="greek">b,</foreign> erit <foreign lang="greek">b</foreign> vbi <foreign lang="greek">e, <lb/>&amp; g</foreign> vbi <foreign lang="greek">z.</foreign> Itaque recta bi&shy;<lb/>fariam diuidens librile, pri. <lb/><!-- REMOVE S-->m&ugrave;m quidem erat <foreign lang="greek">a d m,</foreign><lb/>ip&longs;a <expan abbr="perp&etilde;dicularis">perpendicularis</expan> <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan>: <pb pagenum="49"/><gap/><lb/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="greek">f p.</foreign> Itaque librilis <lb/><foreign lang="greek">e c</foreign> id quod e&longs;t extra per&shy;<lb/>pendicularem <foreign lang="greek">a m</foreign> in ea <lb/>qu&aelig; e&longs;t <foreign lang="greek">f p</foreign> plus e&longs;t: quam <lb/>dimidium. </s>
  
  
 <s>m&ugrave;m quidem erat <foreign lang="greek">a d m,</foreign><lb/>ip&longs;a <expan abbr="perp&etilde;dicularis">perpendicularis</expan> <expan abbr="exi&longs;t&etilde;s">exi&longs;tens</expan>: <pb pagenum="49"/><gap/><lb/>At cum pondus impo&longs;itum <lb/>e&longs;t, e&longs;t <foreign lang="greek">f p.</foreign> Itaque librilis <lb/><foreign lang="greek">e c</foreign> id quod e&longs;t extra per&shy;<lb/>pendicularem <foreign lang="greek">a m</foreign> in ea <lb/>qu&aelig; e&longs;t <foreign lang="greek">f p</foreign> plus e&longs;t: quam <lb/>dimidium. </s> 
  
 <s>Si igitur pon&shy;<lb/>dus, quod erat in <foreign lang="greek">e</foreign> tolla&shy;<lb/>tur, nece&longs;&longs;e e&longs;t <foreign lang="greek">z</foreign> deor&longs;um <lb/>ferri. </s> <s>Si igitur pon&shy;<lb/>dus, quod erat in <foreign lang="greek">e</foreign> tolla&shy;<lb/>tur, nece&longs;&longs;e e&longs;t <foreign lang="greek">z</foreign> deor&longs;um <lb/>ferri. </s>
  
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 <s>Incumbit enim <lb/>ceu pondus exce&longs;&longs;us medietatis, qui e&longs;t in <foreign lang="greek">l o.</foreign></s></p><p type="head"> <s>Incumbit enim <lb/>ceu pondus exce&longs;&longs;us medietatis, qui e&longs;t in <foreign lang="greek">l o.</foreign></s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Propter quid.] <emph type="italics"/>In hoc capite proponitur aliud di&longs;cutiendum <lb/>problema de libra. </s> <s>Propter quid.] <emph type="italics"/>In hoc capite proponitur aliud di&longs;cutiendum <lb/>problema de libra. </s>
  
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 <s>Sine horum enim altero <lb/>modo intelligi <expan abbr="n&otilde;">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li&shy;<lb/>nea, admittat dif-<emph.end type="italics"/><lb/><figure id="fig14"/><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;urs&utilde;">&longs;ursum</expan> deor&longs;um. </s> <s>Sine horum enim altero <lb/>modo intelligi <expan abbr="n&otilde;">non</expan> pote&longs;t, <lb/>quomodo librile, quod <lb/>&longs;ecundum longitudinem <lb/>e&longs;t, vt vna recta li&shy;<lb/>nea, admittat dif-<emph.end type="italics"/><lb/><figure id="fig14"/><lb/><emph type="italics"/>ferentias illas loci <lb/><expan abbr="&longs;urs&utilde;">&longs;ursum</expan> deor&longs;um. </s>
  
 <s>At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con&shy;<lb/>&longs;tituaturproblema <lb/>h&icirc;c ab Ari&longs;totele <lb/><expan abbr="po&longs;it&utilde;">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experienti&atilde;">experientiam</expan>, <lb/>&longs;ed &amp; rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo&shy;<lb/>di <expan abbr="c&utilde;">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centr&utilde;">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it &amp; in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, &amp; <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="fig15"/><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen&shy;<lb/>trum tran&longs;ire <lb/>perpendiculari&shy;<lb/>ter ad planum <lb/><expan abbr="horiz&otilde;tis">horizontis</expan> D E.<emph.end type="italics"/></s></p><p type="main"> <s>At <lb/>&longs;iue hoc: &longs;iue illo <lb/>modo librile con&shy;<lb/>&longs;tituaturproblema <lb/>h&icirc;c ab Ari&longs;totele <lb/><expan abbr="po&longs;it&utilde;">po&longs;itum</expan> habebit non <lb/>&longs;olum <expan abbr="experienti&atilde;">experientiam</expan>, <lb/>&longs;ed &amp; rationem <lb/>&longs;ibi &longs;uffragantem, <lb/>Exemplum igitur <lb/>librilis primi mo&shy;<lb/>di <expan abbr="c&utilde;">cum</expan> latitudine &longs;it <lb/>A B, cuius <expan abbr="centr&utilde;">centrum</expan> <lb/>in &longs;uperiori parte <lb/>latitudinis &longs;it C,<emph.end type="italics"/><pb pagenum="51"/><emph type="italics"/>cum &longs;uo &longs;u&longs;pen&longs;orio &longs;eu trutina C D: vel &longs;it &amp; in inferiori parte C <lb/>centrum cum &longs;uo fulcro quod pro trutina e&longs;t etiam C D, &amp; <lb/>in vtroque in-<emph.end type="italics"/><lb/><figure id="fig15"/><lb/><emph type="italics"/>telligatur linea <lb/>recta per cen&shy;<lb/>trum tran&longs;ire <lb/>perpendiculari&shy;<lb/>ter ad planum <lb/><expan abbr="horiz&otilde;tis">horizontis</expan> D E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Exemplum li&shy;<lb/>brilis <expan abbr="c&utilde;">cum</expan> truti&shy;<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="fig16"/><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>&amp; trutina K <lb/>L, &amp; centrum <lb/>libr&aelig; L.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Exemplum li&shy;<lb/>brilis <expan abbr="c&utilde;">cum</expan> truti&shy;<lb/>na immobiliter <lb/>connexi &longs;it vbi<emph.end type="italics"/><lb/><figure id="fig16"/><lb/><emph type="italics"/>e&longs;t librile GH, <lb/>&amp; trutina K <lb/>L, &amp; centrum <lb/>libr&aelig; L.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>An quia &longs;u&shy;<lb/>perne.] <emph type="italics"/>In&shy;<lb/>tellectis libr&aelig; <lb/>generibus ad propo&longs;itum problema accommodatis, nunc eius partis <lb/>prioris adfertur &longs;olutio. </s> <s>An quia &longs;u&shy;<lb/>perne.] <emph type="italics"/>In&shy;<lb/>tellectis libr&aelig; <lb/>generibus ad propo&longs;itum problema accommodatis, nunc eius partis <lb/>prioris adfertur &longs;olutio. </s>
  
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 <s>Centro &longs;iquidem L, <lb/>&amp; interuallo L K circu&shy;<lb/>lus de&longs;cribatur, &amp; K <lb/><expan abbr="mot&utilde;">motum</expan> &longs;it in P propter vim <lb/>allatam: tum L K per&shy;<lb/>pendicularis intellecta pro&shy;<lb/>ducta &longs;ecabit brachium <lb/>P H, id e&longs;t K H, vt in <lb/>M: &longs;icque P M accre&longs;cet pro longitudine ideo &amp; grauitate ad <lb/>P G, redibit igitur G P M.<emph.end type="italics"/></s></p><pb pagenum="53"/><figure/><p type="main"> <s>Centro &longs;iquidem L, <lb/>&amp; interuallo L K circu&shy;<lb/>lus de&longs;cribatur, &amp; K <lb/><expan abbr="mot&utilde;">motum</expan> &longs;it in P propter vim <lb/>allatam: tum L K per&shy;<lb/>pendicularis intellecta pro&shy;<lb/>ducta &longs;ecabit brachium <lb/>P H, id e&longs;t K H, vt in <lb/>M: &longs;icque P M accre&longs;cet pro longitudine ideo &amp; grauitate ad <lb/>P G, redibit igitur G P M.<emph.end type="italics"/></s></p><pb pagenum="53"/><figure/><p type="main">
  
 <s><emph type="italics"/>Contra in alte&shy;<lb/>ro diagrammate <lb/>eiu&longs;modi &longs;ectio <lb/>fiet, vt in O, &amp; <lb/>&longs;ic pars O P ac&shy;<lb/>cre&longs;cet ad P H: <lb/>&longs;icque tota O P <lb/>H vt longior, ita <lb/>grauior O G. <lb/></s> <s><emph type="italics"/>Contra in alte&shy;<lb/>ro diagrammate <lb/>eiu&longs;modi &longs;ectio <lb/>fiet, vt in O, &amp; <lb/>&longs;ic pars O P ac&shy;<lb/>cre&longs;cet ad P H: <lb/>&longs;icque tota O P <lb/>H vt longior, ita <lb/>grauior O G. <lb/><!-- KEEP S--></s>
  
 <s>Manebit igitur <lb/>(pr&aelig;&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan><emph.end type="italics"/><lb/><figure id="fig19"/><lb/><emph type="italics"/>lanx in&longs;ideat ter&shy;<lb/>r&aelig; vel alicui ful&shy;<lb/>cro. </s> <s>Manebit igitur <lb/>(pr&aelig;&longs;uppo&longs;ito hoc <lb/>quod ab H <expan abbr="app&etilde;&longs;a">appen&longs;a</expan><emph.end type="italics"/><lb/><figure id="fig19"/><lb/><emph type="italics"/>lanx in&longs;ideat ter&shy;<lb/>r&aelig; vel alicui ful&shy;<lb/>cro. </s>
  
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 1. lib.  1. lib.
  
 de lib. <lb/></s> de lib. <lb/><!-- KEEP S--></s>
  
 <s>Atque P e&longs;t centrum grauitatis magnitudinis compo&longs;it&aelig; &egrave; duobus <lb/>brach&yuml;s librilis G H, &amp; lancibus ponderibu&longs;que vtrimque &aelig;qui&shy;<lb/>ponderantibus, &longs;i intelligantur admota, vt patet ex prop.  <s>Atque P e&longs;t centrum grauitatis magnitudinis compo&longs;it&aelig; &egrave; duobus <lb/>brach&yuml;s librilis G H, &amp; lancibus ponderibu&longs;que vtrimque &aelig;qui&shy;<lb/>ponderantibus, &longs;i intelligantur admota, vt patet ex prop.
  
 4. lib.  4. lib.
  
 1. <lb/>Archimed. </s> 1. <lb/>Archimed. <!-- REMOVE S-->de &aelig;quipond. </s>
  
  
 <s>de &aelig;quipond. </s> 
  
 <s>L K vero linea e&longs;t perpendicularis ad pla&shy;<lb/>num horizontis. </s> <s>L K vero linea e&longs;t perpendicularis ad pla&shy;<lb/>num horizontis. </s>
  
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 <s>Quoniam vero <lb/>celerius ab &aelig;quali ponde&shy;<lb/>re mouetur radius maior. <pb pagenum="55"/><gap/><lb/>Sunt vero tria circa|, <expan abbr="vect&etilde;">vectem</expan> <lb/>pre&longs;&longs;io quidem e&longs;t &verbar;agina &amp; <lb/><expan abbr="centr&utilde;">centrum</expan>, duo etiam pondera <lb/>mouens &longs;cilicet, &amp; mobile.</s></p><p type="head"> <s>Quoniam vero <lb/>celerius ab &aelig;quali ponde&shy;<lb/>re mouetur radius maior. <pb pagenum="55"/><gap/><lb/>Sunt vero tria circa|, <expan abbr="vect&etilde;">vectem</expan> <lb/>pre&longs;&longs;io quidem e&longs;t &verbar;agina &amp; <lb/><expan abbr="centr&utilde;">centrum</expan>, duo etiam pondera <lb/>mouens &longs;cilicet, &amp; mobile.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Potenti&aelig; vectis cau&longs;a.] <emph type="italics"/>Vectis definitus e&longs;t &agrave; Bud&aelig;o bacu&shy;</s></p><p type="main"> <s>Potenti&aelig; vectis cau&longs;a.] <emph type="italics"/>Vectis definitus e&longs;t &agrave; Bud&aelig;o bacu&shy;</s></p><p type="main">
  
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 <s>Primus cum lingula &longs;ubditur oneri commouendo, &amp; vecti ip&longs;i <lb/>quam proxime lingul&aelig; &longs;ubditur corpu&longs;culum firmum, quod Gr&aelig;cis<emph.end type="italics"/><lb/><foreign lang="greek">(w_omo/xlion,</foreign> <emph type="italics"/>Vitruuio pre&szlig;io dicitur. </s> <s>Primus cum lingula &longs;ubditur oneri commouendo, &amp; vecti ip&longs;i <lb/>quam proxime lingul&aelig; &longs;ubditur corpu&longs;culum firmum, quod Gr&aelig;cis<emph.end type="italics"/><lb/><foreign lang="greek">(w_omo/xlion,</foreign> <emph type="italics"/>Vitruuio pre&szlig;io dicitur. </s>
  
 <s>Huius figura e&longs;t fer&egrave; qu&aelig;&shy;<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana &aelig;qualia &longs;imilia, parallela, &longs;int trian-<emph.end type="italics"/><lb/><figure id="fig22"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. </s> <s>Huius figura e&longs;t fer&egrave; qu&aelig;&shy;<lb/>uis obuia: expeditior tamen e&longs;t, &longs;i &longs;it pri&longs;mation, cuius aduer&longs;a duo <lb/>plana &aelig;qualia &longs;imilia, parallela, &longs;int trian-<emph.end type="italics"/><lb/><figure id="fig22"/><lb/><emph type="italics"/>gula, vte&longs;t A D B C E F. <!-- KEEP S--></s>
  
 <s>Huius enim <lb/>pri&longs;matis lateri vni tanquam centro, &longs;i <lb/>vectis innitentis caput deprimatur, nece&longs;&longs;e <lb/>erit ilico lingulam, &amp; con&longs;equenter lin&shy;<lb/>gu&aelig; innixum onus attolli, &amp; ideo com&shy;<lb/>moueri. </s> <s>Huius enim <lb/>pri&longs;matis lateri vni tanquam centro, &longs;i <lb/>vectis innitentis caput deprimatur, nece&longs;&longs;e <lb/>erit ilico lingulam, &amp; con&longs;equenter lin&shy;<lb/>gu&aelig; innixum onus attolli, &amp; ideo com&shy;<lb/>moueri. </s>
  
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 <s>Item &longs;i &longs;ub onus vectis ferrei lingula &longs;ubiecta fuerit, neque <lb/>caput eius pre&szlig;ione in imum: &longs;ed aduer&longs;us in altitudinem extolletur, <lb/>lingula fulcta in are&aelig; &longs;olo habebit eam pro onere, oneris <expan abbr="aut&etilde;">autem</expan> ip&longs;ius <lb/>angulum pro pre&szlig;ione: ita non tam faciliter quam per pre&szlig;ionem, <lb/>&longs;ed aduer&longs;us nihilominus in pondus oneris erit <expan abbr="excitat&utilde;">excitatum</expan>. </s> <s>Item &longs;i &longs;ub onus vectis ferrei lingula &longs;ubiecta fuerit, neque <lb/>caput eius pre&szlig;ione in imum: &longs;ed aduer&longs;us in altitudinem extolletur, <lb/>lingula fulcta in are&aelig; &longs;olo habebit eam pro onere, oneris <expan abbr="aut&etilde;">autem</expan> ip&longs;ius <lb/>angulum pro pre&szlig;ione: ita non tam faciliter quam per pre&szlig;ionem, <lb/>&longs;ed aduer&longs;us nihilominus in pondus oneris erit <expan abbr="excitat&utilde;">excitatum</expan>. </s>
  
 <s>H&aelig;c Vitr. <lb/></s> <s>H&aelig;c Vitr. <lb/><!-- REMOVE S-->&agrave; quo parum di&longs;&longs;entimus dum in &longs;ecundo v&longs;u vectis ponit &longs;olum &longs;eu <lb/>aream pro onere, nos pro centro &amp; hypomochlio, quor&longs;um, dicemus<emph.end type="italics"/><lb/><arrow.to.target n="marg20"/><lb/><emph type="italics"/>alibi. </s>
  
  
 <s>&agrave; quo parum di&longs;&longs;entimus dum in &longs;ecundo v&longs;u vectis ponit &longs;olum &longs;eu <lb/>aream pro onere, nos pro centro &amp; hypomochlio, quor&longs;um, dicemus<emph.end type="italics"/><lb/><arrow.to.target n="marg20"/><lb/><emph type="italics"/>alibi. </s> 
  
 <s>Galenus comparauit mu&longs;culum, qui e&longs;t in&longs;trumentum motus <lb/>voluntar&yuml; vecti. </s> <s>Galenus comparauit mu&longs;culum, qui e&longs;t in&longs;trumentum motus <lb/>voluntar&yuml; vecti. </s>
  
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 <s>Itaque <lb/>hic &yuml;s qui anatomen corporis humani re&longs;pexerunt <expan abbr="iucund&utilde;">iucundum</expan> e&longs;t ip&longs;ius <lb/>membra, tanquam onera &longs;excentis mu&longs;culis, tanquam vectibus, tam <lb/>varie flecti, intendi &longs;ur&longs;um, ferri deor&longs;um, demitti ad latera, contor&shy;<lb/>queri, circumuolui, &amp; ad omnes motus, quos voluntas humana vti&shy;<lb/>litate incitata pr&aelig;&longs;cribit, educi, immo vero &yuml;&longs;dem agentibus in quie&shy;<lb/>te, &amp; quam medici appellant in media figura, retineri.<emph.end type="italics"/></s></p><p type="margin"> <s>Itaque <lb/>hic &yuml;s qui anatomen corporis humani re&longs;pexerunt <expan abbr="iucund&utilde;">iucundum</expan> e&longs;t ip&longs;ius <lb/>membra, tanquam onera &longs;excentis mu&longs;culis, tanquam vectibus, tam <lb/>varie flecti, intendi &longs;ur&longs;um, ferri deor&longs;um, demitti ad latera, contor&shy;<lb/>queri, circumuolui, &amp; ad omnes motus, quos voluntas humana vti&shy;<lb/>litate incitata pr&aelig;&longs;cribit, educi, immo vero &yuml;&longs;dem agentibus in quie&shy;<lb/>te, &amp; quam medici appellant in media figura, retineri.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg19"/>Annot. </s> <s><margin.target id="marg19"/>Annot. <!-- REMOVE S-->in <lb/>Pandectas.</s>
  
 <s>in <lb/>Pandectas.</s></p><p type="margin"> </p><p type="margin">
  
  
 <s><margin.target id="marg20"/>Cap.  <s><margin.target id="marg20"/>Cap.
  
  
 10 lib. <lb/></s> 10 lib. <lb/><!-- REMOVE S-->1 de plac. <lb/><!-- REMOVE S-->H<gap/>pp. <!-- REMOVE S-->&amp; <lb/><gap/></s>
  
  
 <s>1 de plac. <lb/></s> 
  
 <s>H<gap/>pp. </s> 
  
 <s>&amp; <lb/><gap/></s></p><p type="main"> 
  </p><p type="main">
  
 <s>Cur vires exigu&aelig;.] <emph type="italics"/>Machina libr&aelig; duobus problematis expe&shy;<lb/>dita e&longs;t: vectis deinde duodecim di&longs;&longs;eritur, &egrave; quibus primum e&longs;t ge&shy;<lb/>nerale. </s> <s>Cur vires exigu&aelig;.] <emph type="italics"/>Machina libr&aelig; duobus problematis expe&shy;<lb/>dita e&longs;t: vectis deinde duodecim di&longs;&longs;eritur, &egrave; quibus primum e&longs;t ge&shy;<lb/>nerale. </s>
  
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 <s>Sit vectis <foreign lang="greek">a b,</foreign> pondus <lb/>vero <foreign lang="greek">g,</foreign> mouens autem <foreign lang="greek">d,</foreign><lb/>pre&longs;&longs;io <foreign lang="greek">e.</foreign> Ip&longs;um vero quod <lb/>mouerit <foreign lang="greek">d,</foreign> &longs;it vbi <foreign lang="greek">h,</foreign> &amp; pon&shy;<lb/>dus <foreign lang="greek">g</foreign> motum vbi <foreign lang="greek">k.</foreign></s></p><p type="head"> <s>Sit vectis <foreign lang="greek">a b,</foreign> pondus <lb/>vero <foreign lang="greek">g,</foreign> mouens autem <foreign lang="greek">d,</foreign><lb/>pre&longs;&longs;io <foreign lang="greek">e.</foreign> Ip&longs;um vero quod <lb/>mouerit <foreign lang="greek">d,</foreign> &longs;it vbi <foreign lang="greek">h,</foreign> &amp; pon&shy;<lb/>dus <foreign lang="greek">g</foreign> motum vbi <foreign lang="greek">k.</foreign></s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Locus hic breui&szlig;im&egrave; totam vectis rationem explicat, vt &longs;ciatur <lb/>vectis v&longs;us, &amp; qu&aelig; vires, ad quod onus mouendum &longs;ufficiant, <lb/>vel non &longs;ufficiant. </s> <s><emph type="italics"/>Locus hic breui&szlig;im&egrave; totam vectis rationem explicat, vt &longs;ciatur <lb/>vectis v&longs;us, &amp; qu&aelig; vires, ad quod onus mouendum &longs;ufficiant, <lb/>vel non &longs;ufficiant. </s>
  
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 6. lib.  6. lib.
  
 1. <lb/>Archim. </s> 1. <lb/>Archim. <!-- REMOVE S-->de &aelig;quipond. </s>
  
  
 <s>de &aelig;quipond. </s> 
  
 <s>Et &longs;ic potentia &aelig;qualis ip&longs;i E ibidem con&longs;ti&shy;<lb/>tuta pondere &aelig;quabit ip&longs;um D, id e&longs;t ne D deor&longs;um vergat, quod fa-<emph.end type="italics"/><pb pagenum="59"/><emph type="italics"/>eit pondus E, prohibebit. </s> <s>Et &longs;ic potentia &aelig;qualis ip&longs;i E ibidem con&longs;ti&shy;<lb/>tuta pondere &aelig;quabit ip&longs;um D, id e&longs;t ne D deor&longs;um vergat, quod fa-<emph.end type="italics"/><pb pagenum="59"/><emph type="italics"/>eit pondus E, prohibebit. </s>
  
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 <s>Sed E habet eam ad D, quam A C and B C, ex <lb/>fab. </s> <s>Sed E habet eam ad D, quam A C and B C, ex <lb/>fab. </s>
  
 <s>ergo potentia in B ad pondus D eam rationem habebit, quam <lb/>A C ad B C. </s> <s>ergo potentia in B ad pondus D eam rationem habebit, quam <lb/>A C ad B C. <!-- KEEP S--></s>
  
 <s>Itaque vt e&longs;t potentia ad pondus &longs;u&longs;tentum: ita e&longs;t <lb/>pars vectis &amp;c. </s> <s>Itaque vt e&longs;t potentia ad pondus &longs;u&longs;tentum: ita e&longs;t <lb/>pars vectis &amp;c. </s>
  
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 <s>Secundum. <emph type="italics"/>Qu&ograve; pars ab hypomochlio ad lingulam minor erit: <lb/>e&ograve; minor potentia ad &longs;u&longs;tinendum &longs;ufficiet.<emph.end type="italics"/></s></p><p type="main"> <s>Secundum. <emph type="italics"/>Qu&ograve; pars ab hypomochlio ad lingulam minor erit: <lb/>e&ograve; minor potentia ad &longs;u&longs;tinendum &longs;ufficiet.<emph.end type="italics"/></s></p><p type="main">
  
 <s>Reciproce.] <foreign lang="greek">*an<gap/>ipepo/n<gap/>hsis.</foreign> <emph type="italics"/>Reciprocatio quid &longs;it de&longs;umen&shy;<lb/>dum e&longs;t ex Eucl. </s> <s>Reciproce.] <foreign lang="greek">*an<gap/>ipepo/n<gap/>hsis.</foreign> <emph type="italics"/>Reciprocatio quid &longs;it de&longs;umen&shy;<lb/>dum e&longs;t ex Eucl. <!-- REMOVE S-->def. </s>
  
  
 <s>def. </s> 
  
 <s>2. lib.  <s>2. lib.
  
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 <s>Maxima <lb/>enim remi pars &agrave; &longs;calmo intus e&longs;t in medio nauis.</s></p><pb pagenum="62"/><p type="head"> <s>Maxima <lb/>enim remi pars &agrave; &longs;calmo intus e&longs;t in medio nauis.</s></p><pb pagenum="62"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr remiges.] <emph type="italics"/>Specialia deinceps &longs;unt vndecim de vecte pro&shy;<lb/>blemata, &egrave; quibus priora &longs;ex pertinent ad nauigandi artem, qu&aelig; <lb/>mirabilior &longs;it propter audaciam, an propter &longs;ubtilitatem inuentornm <lb/>ad bene <expan abbr="nauig&atilde;dum">nauigandum</expan> vtilium, dubium e&longs;t. </s> <s>Cvr remiges.] <emph type="italics"/>Specialia deinceps &longs;unt vndecim de vecte pro&shy;<lb/>blemata, &egrave; quibus priora &longs;ex pertinent ad nauigandi artem, qu&aelig; <lb/>mirabilior &longs;it propter audaciam, an propter &longs;ubtilitatem inuentornm <lb/>ad bene <expan abbr="nauig&atilde;dum">nauigandum</expan> vtilium, dubium e&longs;t. </s>
  
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 <s><foreign lang="greek">*ezwsan, pa/mw_rw<gap/>on e)u:<gap/>refei_ en)do<gap/>en o(/pl<gap/>.</foreign><lb/><emph type="italics"/>qu&aelig; &longs;ic reddidit Lazarus Bayfius.<emph.end type="italics"/></s></p><p type="main"> <s><foreign lang="greek">*ezwsan, pa/mw_rw<gap/>on e)u:<gap/>refei_ en)do<gap/>en o(/pl<gap/>.</foreign><lb/><emph type="italics"/>qu&aelig; &longs;ic reddidit Lazarus Bayfius.<emph.end type="italics"/></s></p><p type="main">
  
 <s>Imprimis nauem diuinis artibus Argi,</s></p><p type="main"> <s>Imprimis nauem diuinis artibus Argi,<!-- REMOVE S-->Extructam, intus compingunt habili armamento.</s></p><p type="main">
  
 <s>Extructam, intus compingunt habili armamento.</s></p><p type="main"> 
  
 <s><emph type="italics"/>Tullius tamen in 1. Tu&longs;cula. </s> <s><emph type="italics"/>Tullius tamen in 1. Tu&longs;cula. </s>
  
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 <s>Vnde cum hiremi &longs;itu pro differentia loci &longs;ur&shy;<lb/>&longs;um &amp; deor&longs;um e&longs;&longs;ent di&longs;tincti: ita quoque &longs;uos remiges haberen<gap/><lb/>di&longs;tinctos: &longs;ed eam mentem non fui&longs;&longs;e &longs;cholia&longs;tis illius indicat, <lb/>quod paul&ograve; p&ograve;&longs;t &longs;ubiunxit.<emph.end type="italics"/> <foreign lang="greek"><gap/>ani/ths )<gap/>,</foreign> <emph type="italics"/>inquit<emph.end type="italics"/> <foreign lang="greek">o( w_ro\s ti/w\ w_ru/mnan, <lb/><gap/>ugi/ths o( meoos, <gap/>alami/ths o( w_ro\s ti/w\ w_rw/<gap/>an.</foreign> <emph type="italics"/>Thranites e&longs;t is, <lb/>qui ad puppim remigat, Zygites qui in media naui, Thalamites qui <lb/>ad proram, vbi manife&longs;t&egrave; &longs;uperiorem nauis partem explicat ad pup&shy;<lb/>pim in qua &longs;edet gubernator, vt qu&aelig; altior e&longs;t: inferiorem ad proram, <lb/>qu&aelig; inferior e&longs;t, ne gubernatoris ob&longs;truat luminibus: ideo inter istos <lb/><gap/>git&aelig; &longs;unt, quos hic Ari&longs;toteles vocabulo compo&longs;ito<emph.end type="italics"/> <foreign lang="greek">e)x meoh_s kai\ <lb/>ne/ws</foreign> <emph type="italics"/>vocat me&longs;oneos. </s> <s>Vnde cum hiremi &longs;itu pro differentia loci &longs;ur&shy;<lb/>&longs;um &amp; deor&longs;um e&longs;&longs;ent di&longs;tincti: ita quoque &longs;uos remiges haberen<gap/><lb/>di&longs;tinctos: &longs;ed eam mentem non fui&longs;&longs;e &longs;cholia&longs;tis illius indicat, <lb/>quod paul&ograve; p&ograve;&longs;t &longs;ubiunxit.<emph.end type="italics"/> <foreign lang="greek"><gap/>ani/ths )<gap/>,</foreign> <emph type="italics"/>inquit<emph.end type="italics"/> <foreign lang="greek">o( w_ro\s ti/w\ w_ru/mnan, <lb/><gap/>ugi/ths o( meoos, <gap/>alami/ths o( w_ro\s ti/w\ w_rw/<gap/>an.</foreign> <emph type="italics"/>Thranites e&longs;t is, <lb/>qui ad puppim remigat, Zygites qui in media naui, Thalamites qui <lb/>ad proram, vbi manife&longs;t&egrave; &longs;uperiorem nauis partem explicat ad pup&shy;<lb/>pim in qua &longs;edet gubernator, vt qu&aelig; altior e&longs;t: inferiorem ad proram, <lb/>qu&aelig; inferior e&longs;t, ne gubernatoris ob&longs;truat luminibus: ideo inter istos <lb/><gap/>git&aelig; &longs;unt, quos hic Ari&longs;toteles vocabulo compo&longs;ito<emph.end type="italics"/> <foreign lang="greek">e)x meoh_s kai\ <lb/>ne/ws</foreign> <emph type="italics"/>vocat me&longs;oneos. </s>
  
 <s>Sed hic non leuis obrepit controuer &longs;ia, &amp; pro&shy;<lb/>pter pr&aelig;&longs;entem Ari&longs;totelis contextumante di&longs;&longs;oluenda, &longs;i pote&longs;t, ex <lb/>duobus locis, altero Thucydidis, altero Galeni. </s> <s>Sed hic non leuis obrepit controuer &longs;ia, &amp; pro&shy;<lb/>pter pr&aelig;&longs;entem Ari&longs;totelis contextumante di&longs;&longs;oluenda, &longs;i pote&longs;t, ex <lb/>duobus locis, altero Thucydidis, altero Galeni. <!-- KEEP S--></s>
  
 <s>Ille enim li. </s> <s>Ille enim li. </s>
  
 <s>6. h&aelig;c h&aelig;&shy;<lb/>bet.<emph.end type="italics"/> <foreign lang="greek"><gap/>pihra/fxwn )<gap/>pi<gap/>o<gap/>a\s w_ro\s tw_| )ex dimwoi/ou mi<gap/>w_| dido/ntwn <lb/>pi_s <gap/>ari/tais,</foreign> <emph type="italics"/>Thranit&aelig; pr&aelig;ter &longs;tipendium publicum &agrave; trierarchis <lb/>donatiuum con&longs;equebantur, cuius rei cau&longs;a &longs;ubdita e&longs;t &agrave; &longs;choliaste, <lb/><expan abbr="quoni&atilde;remos">quoniarremos</expan> longiores trahebant, grauioreque labore vexabantur, <lb/>&amp; adhuc hodie e&ograve; loci remigant ex omnibus delecti robu&longs;tiores, &agrave; <lb/>largis &longs;patulis Gallis dicti Eppaliers. </s> <s>6. h&aelig;c h&aelig;&shy;<lb/>bet.<emph.end type="italics"/> <foreign lang="greek"><gap/>pihra/fxwn )<gap/>pi<gap/>o<gap/>a\s w_ro\s tw_| )ex dimwoi/ou mi<gap/>w_| dido/ntwn <lb/>pi_s <gap/>ari/tais,</foreign> <emph type="italics"/>Thranit&aelig; pr&aelig;ter &longs;tipendium publicum &agrave; trierarchis <lb/>donatiuum con&longs;equebantur, cuius rei cau&longs;a &longs;ubdita e&longs;t &agrave; &longs;choliaste, <lb/><expan abbr="quoni&atilde;remos">quoniarremos</expan> longiores trahebant, grauioreque labore vexabantur, <lb/>&amp; adhuc hodie e&ograve; loci remigant ex omnibus delecti robu&longs;tiores, &agrave; <lb/>largis &longs;patulis Gallis dicti Eppaliers. <!-- KEEP S--></s>
  
 <s>Hic ver&ograve; cap.  <s>Hic ver&ograve; cap.
  
 24. lib. </s> 24. lib. <!-- REMOVE S-->I, de v&longs;u<emph.end type="italics"/><pb pagenum="65"/><emph type="italics"/>partium &longs;ic ait, In triremibus <expan abbr="remor&utilde;">remorum</expan> extremitates ad vnam &aelig;qua&shy;<lb/>litatem perueniunt, cum tamen ip&longs;i omnes non &longs;int &aelig;quales, etenim <lb/>etiam ibi medios eandem ob cau&longs;am maximos efficiunt, id e&longs;t, vt vi&shy;<lb/>dere licet ex i&longs;to cap. <!-- REMOVE S-->Galen. <!-- REMOVE S-->citato, vt manus digiti in&aelig; quales &longs;unt, <lb/>&amp; medius longi&szlig;imus ad firmam rerum apprehen &longs;ionem, &amp; ap&shy;<lb/>prehen&longs;arum retentionem, quod illius munus e&longs;t, quod non aliter fit <lb/>quam quum digitorum extremitates ad &aelig;qualitatem perueniunt: &longs;ic <lb/>ob nauigationis perfectionem in valido &amp; faciliori nauis, qu&acirc; prora <lb/>&longs;pectat impul&longs;u po&longs;itam, remi facti &longs;unt in&aelig;quales, &amp; corum me&shy;<lb/>dius maximus: &amp; horum quidem i&longs;ta in&aelig;qualitas ob eandem cau&shy;<lb/>&longs;am, vt &longs;cilicet remorum extremitates &longs;imul omnes in remigatione <lb/>ad &aelig;qualitatem peruenirent. </s>
  
  
  
  
 <s>I, de v&longs;u<emph.end type="italics"/><pb pagenum="65"/><emph type="italics"/>partium &longs;ic ait, In triremibus <expan abbr="remor&utilde;">remorum</expan> extremitates ad vnam &aelig;qua&shy;<lb/>litatem perueniunt, cum tamen ip&longs;i omnes non &longs;int &aelig;quales, etenim <lb/>etiam ibi medios eandem ob cau&longs;am maximos efficiunt, id e&longs;t, vt vi&shy;<lb/>dere licet ex i&longs;to cap. </s> 
  
 <s>Galen. </s> 
  
 <s>citato, vt manus digiti in&aelig; quales &longs;unt, <lb/>&amp; medius longi&szlig;imus ad firmam rerum apprehen &longs;ionem, &amp; ap&shy;<lb/>prehen&longs;arum retentionem, quod illius munus e&longs;t, quod non aliter fit <lb/>quam quum digitorum extremitates ad &aelig;qualitatem perueniunt: &longs;ic <lb/>ob nauigationis perfectionem in valido &amp; faciliori nauis, qu&acirc; prora <lb/>&longs;pectat impul&longs;u po&longs;itam, remi facti &longs;unt in&aelig;quales, &amp; corum me&shy;<lb/>dius maximus: &amp; horum quidem i&longs;ta in&aelig;qualitas ob eandem cau&shy;<lb/>&longs;am, vt &longs;cilicet remorum extremitates &longs;imul omnes in remigatione <lb/>ad &aelig;qualitatem peruenirent. </s> 
  
 <s>Ex his locis <expan abbr="vtriq;">vtrique</expan> conueniunt eiu&longs;dem <lb/>lateris remos e&longs;&longs;e in&aelig;quales: &longs;ed in hoc in &longs;igniter di&longs;crepant, quod <lb/>Galenus a&longs;&longs;erat medios, id e&longs;t remos Zygitarum, &longs;eu<emph.end type="italics"/> <foreign lang="greek">meoune/wn</foreign> <emph type="italics"/>e&longs;&longs;e <lb/>maximos: Ari&longs;toteles non hos, &longs;ed <expan abbr="Thranitar&utilde;">Thranitarum</expan>. </s> <s>Ex his locis <expan abbr="vtriq;">vtrique</expan> conueniunt eiu&longs;dem <lb/>lateris remos e&longs;&longs;e in&aelig;quales: &longs;ed in hoc in &longs;igniter di&longs;crepant, quod <lb/>Galenus a&longs;&longs;erat medios, id e&longs;t remos Zygitarum, &longs;eu<emph.end type="italics"/> <foreign lang="greek">meoune/wn</foreign> <emph type="italics"/>e&longs;&longs;e <lb/>maximos: Ari&longs;toteles non hos, &longs;ed <expan abbr="Thranitar&utilde;">Thranitarum</expan>. </s>
  
 <s>Et <expan abbr="ver&utilde;">verum</expan> dicere Gale&shy;<lb/>num cogno&longs;cemus &longs;i prius intellexerimus quomodo remorum extre&shy;<lb/>mitates in remigationis ictu ad &aelig;qualitatem perueniant. </s> <s>Et <expan abbr="ver&utilde;">verum</expan> dicere Gale&shy;<lb/>num cogno&longs;cemus &longs;i prius intellexerimus quomodo remorum extre&shy;<lb/>mitates in remigationis ictu ad &aelig;qualitatem perueniant. </s>
  
 <s>Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="fig25"/><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de&shy;<lb/>&longs;inant &longs;ecundum re&shy;<lb/>ctam A B parallelam <lb/>rect&aelig;, qu&aelig; in naui ex&shy;<lb/>tenderetur &agrave; prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/></s> <s>Ad hane <lb/>enim peruenire po&longs;&longs;unt duobus tantum modis, priore &longs;i intelligamus <lb/>tran&longs;trorum ordines<emph.end type="italics"/><lb/><figure id="fig25"/><lb/><emph type="italics"/>po&longs;itos e&longs;&longs;e ita, vt de&shy;<lb/>&longs;inant &longs;ecundum re&shy;<lb/>ctam A B parallelam <lb/>rect&aelig;, qu&aelig; in naui ex&shy;<lb/>tenderetur &agrave; prora ad <lb/>puppim cuiu&longs;modi e&longs;to <lb/>C D, cui etiam altera <lb/>E F in mari parallela <lb/>ad quam extremitates <lb/>peruenirent, ita vt <lb/>&longs;ponda nauis ad cuius <lb/>G H T &longs;calmos e&longs;&longs;ent <lb/>alligati remi K G P, <lb/>M H N, O T P. <lb/><!-- KEEP S--></s>
  
 <s>Sed &longs;i &longs;ic pr&aelig;terquam <lb/>quod Thalamitarum <lb/>Zygitarum &amp; Thra-<emph.end type="italics"/><pb pagenum="66"/><emph type="italics"/>nitarum Remi e&longs;&longs;ent &aelig;quales prop.  <s>Sed &longs;i &longs;ic pr&aelig;terquam <lb/>quod Thalamitarum <lb/>Zygitarum &amp; Thra-<emph.end type="italics"/><pb pagenum="66"/><emph type="italics"/>nitarum Remi e&longs;&longs;ent &aelig;quales prop.
  
 33. &amp; 34. lib. </s> 33. &amp; 34. lib. <!-- REMOVE S-->I. elem. </s>
  
  
  
 <s>I. elem. </s> <s>Eucl. <!-- REMOVE S-->quod <lb/>e&longs;t contra omnium &longs;ententiam, nauigatio e&longs;&longs;et valde impedita, eo <lb/>quod cum aqua ante nauim immota, ideoque difficilius cedens: tum <lb/>po&longs;t nauim etiam immota, minimeque eo rediens non compelleret. <lb/></s>
  
 <s>Eucl. </s> 
  
 <s>quod <lb/>e&longs;t contra omnium &longs;ententiam, nauigatio e&longs;&longs;et valde impedita, eo <lb/>quod cum aqua ante nauim immota, ideoque difficilius cedens: tum <lb/>po&longs;t nauim etiam immota, minimeque eo rediens non compelleret. <lb/></s> 
  
 <s>Moueretur enim aqua &longs;ecundum rectam E F remorum extremita&shy;<lb/>tes excipientem. </s> <s>Moueretur enim aqua &longs;ecundum rectam E F remorum extremita&shy;<lb/>tes excipientem. </s>
  
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 <s>Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe-<emph.end type="italics"/><lb/><figure id="fig26"/><lb/><emph type="italics"/><expan abbr="ripheric&atilde;">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de-&longs;in&atilde;t">de&shy;<lb/>&longs;inant</expan> pr&aelig;dicti re&shy;<lb/>mi, non &longs;olum re&shy;<lb/>morum erit in&aelig;&shy;<lb/>qualitas, &amp; me&shy;<lb/>dius erit maxi&shy;<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed &amp; nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="c&otilde;trarias">contrarias</expan> <lb/>cau&longs;as, quipp&egrave; ve&shy;<lb/>luti circulationes <lb/><expan abbr="vndar&utilde;">vndarum</expan> circa na&shy;<lb/>uim fient, vnde <lb/>qu&aelig; ante e&longs;t pro&shy;<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>&amp; retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s> <s>Quomodo &longs;i pro E F recta <lb/>con&longs;tituamus pe-<emph.end type="italics"/><lb/><figure id="fig26"/><lb/><emph type="italics"/><expan abbr="ripheric&atilde;">riphericam</expan> Q L N <lb/>P R ad quam <expan abbr="de-&longs;in&atilde;t">de&shy;<lb/>&longs;inant</expan> pr&aelig;dicti re&shy;<lb/>mi, non &longs;olum re&shy;<lb/>morum erit in&aelig;&shy;<lb/>qualitas, &amp; me&shy;<lb/>dius erit maxi&shy;<lb/>mus, vt in manu <lb/>digitus medius: <lb/>&longs;ed &amp; nauigatio <lb/>facilius procedet <lb/>propter <expan abbr="c&otilde;trarias">contrarias</expan> <lb/>cau&longs;as, quipp&egrave; ve&shy;<lb/>luti circulationes <lb/><expan abbr="vndar&utilde;">vndarum</expan> circa na&shy;<lb/>uim fient, vnde <lb/>qu&aelig; ante e&longs;t pro&shy;<lb/>pul&longs;a aqua viam <lb/>aperiet nauigio, <lb/>&amp; retro compre&longs;&longs;a, comprimen&longs; que nauigium propellet. </s>
  
 <s>Quod autem <lb/>M H N medius remus &longs;it longior remis O I P &amp; K G L fa&shy;<lb/>cile demon&longs;tratur ducta recta G I parallela ip&longs;i K. O. </s> <s>Quod autem <lb/>M H N medius remus &longs;it longior remis O I P &amp; K G L fa&shy;<lb/>cile demon&longs;tratur ducta recta G I parallela ip&longs;i K. O. <!-- KEEP S--></s>
  
 <s>Sic enim <lb/>&aelig;quales &longs;unt G K, S M, I O prop.  <s>Sic enim <lb/>&aelig;quales &longs;unt G K, S M, I O prop.
  
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 <s>&amp; <lb/>&longs;calmus e&longs;t hypomochlium. </s> <s>&amp; <lb/>&longs;calmus e&longs;t hypomochlium. </s>
  
 <s>hic enim mouet, pondus vero <lb/>mobile mare, &amp; vectem mouens, Remex.<emph.end type="italics"/></s></p><p type="main"> <s>hic enim mouet, pondus vero <lb/>mobile mare, &amp; vectem mouens, Remex.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Ergo is plus &amp; facilius nauim promouebit, cuius remi pars &agrave; <lb/>&longs;calmo ad manubrium maior erit.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Ergo is plus &amp; facilius nauim promouebit, cuius remi pars &agrave; <lb/>&longs;calmo ad manubrium maior erit.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>In quo C e&longs;to prora, D <lb/>puppis, G &longs;calmus ad proram, T &longs;calmus ad puppim, H &longs;calmus <lb/>ad medium: vbi nauis latior &amp; depre&szlig;ior e&longs;t, ob id magis di&longs;tans &agrave; <lb/>recta A B, vtpote chorda arcus A G H T B, qu&aelig; de&longs;ignes <lb/>loca tran&longs;trorum &amp; qu&aelig; &agrave; remis partes auferat &aelig;quales &amp; partes <lb/>in&aelig;quales relinquat K G, M H, O T &amp; quidem M H ma&shy;<lb/>iorem. (quod nos &longs;equenti theoremate demon&longs;trabimus) igiur erit <lb/>totum ex M H, &amp; adempto maius quam quod ex K G &amp; <lb/>adempto, velex O T &amp; adempto per ax. </s> <s>In quo C e&longs;to prora, D <lb/>puppis, G &longs;calmus ad proram, T &longs;calmus ad puppim, H &longs;calmus <lb/>ad medium: vbi nauis latior &amp; depre&szlig;ior e&longs;t, ob id magis di&longs;tans &agrave; <lb/>recta A B, vtpote chorda arcus A G H T B, qu&aelig; de&longs;ignes <lb/>loca tran&longs;trorum &amp; qu&aelig; &agrave; remis partes auferat &aelig;quales &amp; partes <lb/>in&aelig;quales relinquat K G, M H, O T &amp; quidem M H ma&shy;<lb/>iorem. (quod nos &longs;equenti theoremate demon&longs;trabimus) igiur erit <lb/>totum ex M H, &amp; adempto maius quam quod ex K G &amp; <lb/>adempto, velex O T &amp; adempto per ax. </s>
  
 <s>5.<emph.end type="italics"/></s></p><p type="main"> <s>5.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Theorema. <emph type="italics"/>Si chorda rectas in circulo in&longs;criptas ad rectos &longs;e&shy;<lb/>cet: &longs;ectarum pars, qu&aelig; de diametro ab&longs;cinditur, e&longs;t maxima, reli&shy;<lb/>quarum qu&aelig; diametro propinquior remotiore maior e&longs;t. </s> <s>Theorema. <emph type="italics"/>Si chorda rectas in circulo in&longs;criptas ad rectos &longs;e&shy;<lb/>cet: &longs;ectarum pars, qu&aelig; de diametro ab&longs;cinditur, e&longs;t maxima, reli&shy;<lb/>quarum qu&aelig; diametro propinquior remotiore maior e&longs;t. </s>
  
 <s>E&longs;to circu&shy;<lb/>lus A D B E, in quo rectam A B diametrum &longs;ecet chorda D <lb/>E ad rectos vt &amp; K I, L H: &amp; &longs;int &longs;egmenta C B, &egrave; dia&shy;<lb/>metro: F I &egrave; propinquiore: G H &egrave; remotiore. </s> <s>E&longs;to circu&shy;<lb/>lus A D B E, in quo rectam A B diametrum &longs;ecet chorda D <lb/>E ad rectos vt &amp; K I, L H: &amp; &longs;int &longs;egmenta C B, &egrave; dia&shy;<lb/>metro: F I &egrave; propinquiore: G H &egrave; remotiore. </s>
  
 <s>Dico C B e&longs;&longs;e <lb/>maiorem quam F I: &amp; F I quam G H. </s> <s>Dico C B e&longs;&longs;e <lb/>maiorem quam F I: &amp; F I quam G H. <!-- KEEP S--></s>
  
 <s>Per punctum M cen&shy;<lb/>trum circuli repertum prop.  <s>Per punctum M cen&shy;<lb/>trum circuli repertum prop.
  
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 <s>31. lib.  <s>31. lib.
  
 1. &longs;icque parallelogramma &longs;unt O F &amp;<emph.end type="italics"/><lb/><figure id="fig27"/><lb/><emph type="italics"/>N C. </s> 1. &longs;icque parallelogramma &longs;unt O F &amp;<emph.end type="italics"/><lb/><figure id="fig27"/><lb/><emph type="italics"/>N C. <!-- KEEP S--></s>
  
 <s>Quoniam igitur diame&shy;<lb/>ter A B maxima e&longs;t in&longs;cripta&shy;<lb/>rum in circulo, &amp; K I propin&shy;<lb/>quior centro ip&longs;i L H remotiore <lb/>maior e&longs;t prop.  <s>Quoniam igitur diame&shy;<lb/>ter A B maxima e&longs;t in&longs;cripta&shy;<lb/>rum in circulo, &amp; K I propin&shy;<lb/>quior centro ip&longs;i L H remotiore <lb/>maior e&longs;t prop.
  
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 3. harum <lb/>quoque dimidi&aelig; M B, N I, O <lb/>H prop. </s> 3. harum <lb/>quoque dimidi&aelig; M B, N I, O <lb/>H prop. </s>
  
 <s>3. lib. </s> <s>3. lib. <!-- REMOVE S-->eiu&longs;dem erunt in&shy;<lb/>&aelig;quales &amp; M B maior quam <lb/>N I, &amp; N I quam O H. <!-- KEEP S--></s>
  
  
 <s>eiu&longs;dem erunt in&shy;<lb/>&aelig;quales &amp; M B maior quam <lb/>N I, &amp; N I quam O H. </s> 
  
 <s>Ab <lb/>his igitur &longs;ublatis &aelig;qualibus M <lb/>C, N F, O G parallelogram&shy;<lb/>morum O F, N C lateribus oppo&longs;itis prop.  <s>Ab <lb/>his igitur &longs;ublatis &aelig;qualibus M <lb/>C, N F, O G parallelogram&shy;<lb/>morum O F, N C lateribus oppo&longs;itis prop.
  
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 <s>Quia in tribus prioribus &longs;calmus mani&shy;<lb/>fe&longs;t&egrave; e&longs;t hypomochlium, pondus mouendum e&longs;t aqua, vel pars extre&shy;<lb/>ma remi cum e&longs;t extra aquam. </s> <s>Quia in tribus prioribus &longs;calmus mani&shy;<lb/>fe&longs;t&egrave; e&longs;t hypomochlium, pondus mouendum e&longs;t aqua, vel pars extre&shy;<lb/>ma remi cum e&longs;t extra aquam. </s>
  
 <s>De his igitur pote&longs;t intelligi Ari&longs;to&shy;<lb/>teles tum Vitruuius. </s> <s>De his igitur pote&longs;t intelligi Ari&longs;to&shy;<lb/>teles tum Vitruuius. <!-- KEEP S--></s>
  
 <s>At in quarto agua renitens palmul&aelig; e&longs;t hypo&shy;<lb/>mochlium, nauis vero pondus mouendum, vt diximus. </s> <s>At in quarto agua renitens palmul&aelig; e&longs;t hypo&shy;<lb/>mochlium, nauis vero pondus mouendum, vt diximus. </s>
  
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 <s>Igitur remus <lb/>&longs;ecundum latitudinem im&shy;<lb/>pellens pondus, &amp; ab illo <lb/>contra repul&longs;us in rectum <lb/>agit: at <expan abbr="gubernacul&utilde;">gubernaculum</expan> qua&longs;i <lb/><expan abbr="tr&atilde;&longs;uer&longs;um">tran&longs;uer&longs;um</expan> iaceat, in tran&longs;&shy;<lb/>uer&longs;um etiam hinc inde motionem facit.</s></p><p type="head"> <s>Igitur remus <lb/>&longs;ecundum latitudinem im&shy;<lb/>pellens pondus, &amp; ab illo <lb/>contra repul&longs;us in rectum <lb/>agit: at <expan abbr="gubernacul&utilde;">gubernaculum</expan> qua&longs;i <lb/><expan abbr="tr&atilde;&longs;uer&longs;um">tran&longs;uer&longs;um</expan> iaceat, in tran&longs;&shy;<lb/>uer&longs;um etiam hinc inde motionem facit.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Po tenti&aelig; guber.] <emph type="italics"/>In hoc capite<gap/> proponuntur tria &longs;pecialia de <lb/>vecte problemata quorum duo &longs;unt de gubernaculo &amp; tertium <lb/>de remo. </s> <s>Po tenti&aelig; guber.] <emph type="italics"/>In hoc capite<gap/> proponuntur tria &longs;pecialia de <lb/>vecte problemata quorum duo &longs;unt de gubernaculo &amp; tertium <lb/>de remo. </s>
  
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 <s>Angulus enim <lb/>&aelig;qualis &agrave; maiori &longs;ubtendi&shy;<lb/>tur, &amp; quanto maiores qu&aelig; <lb/>angulum comprehenderunt line&aelig;.</s></p><p type="head"> <s>Angulus enim <lb/>&aelig;qualis &agrave; maiori &longs;ubtendi&shy;<lb/>tur, &amp; quanto maiores qu&aelig; <lb/>angulum comprehenderunt line&aelig;.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>In extremo autem.] <emph type="italics"/>Solutio e&longs;t &longs;ecundi problematis duplex, <lb/>&longs;ic.<emph.end type="italics"/></s></p><p type="main"> <s>In extremo autem.] <emph type="italics"/>Solutio e&longs;t &longs;ecundi problematis duplex, <lb/>&longs;ic.<emph.end type="italics"/></s></p><p type="main">
  
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 <s><emph type="italics"/>Si duo I&longs;o&longs;celia &aelig;qualia angulis, in&aelig;qualium crurum fuerint: <lb/>erunt &amp; in&aelig;qualia<emph.end type="italics"/><lb/><figure id="fig28"/><lb/><emph type="italics"/>ba&longs;ibus: &amp; huius ba&shy;<lb/>&longs;is maior, cuius crura <lb/>maiora. </s> <s><emph type="italics"/>Si duo I&longs;o&longs;celia &aelig;qualia angulis, in&aelig;qualium crurum fuerint: <lb/>erunt &amp; in&aelig;qualia<emph.end type="italics"/><lb/><figure id="fig28"/><lb/><emph type="italics"/>ba&longs;ibus: &amp; huius ba&shy;<lb/>&longs;is maior, cuius crura <lb/>maiora. </s>
  
 <s>Sint A B E <lb/>&amp; A D C duo i&longs;o&longs;&shy;<lb/>celia &aelig;qualia angulis <lb/>qui ad A, &amp; A D <lb/>crus e&longs;to maius crure <lb/>A B &longs;icut &amp; A C <lb/>ip&longs;o A E. </s> <s>Sint A B E <lb/>&amp; A D C duo i&longs;o&longs;&shy;<lb/>celia &aelig;qualia angulis <lb/>qui ad A, &amp; A D <lb/>crus e&longs;to maius crure <lb/>A B &longs;icut &amp; A C <lb/>ip&longs;o A E. <!-- KEEP S--></s>
  
 <s>Dico ba&longs;im D C maiorem e&longs;&longs;e ba&longs;i B E. </s> <s>Dico ba&longs;im D C maiorem e&longs;&longs;e ba&longs;i B E. <!-- KEEP S--></s>
  
 <s>Nam quia<emph.end type="italics"/><pb pagenum="79"/><emph type="italics"/>tres anguli vnius triangulorum &longs;unt &aelig;quales tribus alterius prop. <lb/></s> <s>Nam quia<emph.end type="italics"/><pb pagenum="79"/><emph type="italics"/>tres anguli vnius triangulorum &longs;unt &aelig;quales tribus alterius prop. <lb/></s>
  
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 5. E&longs;t autem maius A D ip&longs;o A B <lb/>ex hypothe&longs;i. </s> 5. E&longs;t autem maius A D ip&longs;o A B <lb/>ex hypothe&longs;i. </s>
  
 <s>Ergo Ba&longs;is D C maior erit ip&longs;a B E. </s> <s>Ergo Ba&longs;is D C maior erit ip&longs;a B E. <!-- KEEP S--></s>
  
 <s>Igitur &longs;i duo <lb/>I&longs;o&longs;celia &aelig;qualia angulis, in&aelig;qualia cruribus fuerint &amp;c. </s> <s>Igitur &longs;i duo <lb/>I&longs;o&longs;celia &aelig;qualia angulis, in&aelig;qualia cruribus fuerint &amp;c. </s>
  
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 <s><emph type="italics"/>Patet igitur ex his quod cum B C &longs;it vt longitudo nauis, &longs;i pup&shy;<lb/>pis B peruenerit ad E manente A cardine. </s> <s><emph type="italics"/>Patet igitur ex his quod cum B C &longs;it vt longitudo nauis, &longs;i pup&shy;<lb/>pis B peruenerit ad E manente A cardine. </s>
  
 <s>Tunc C erit in D. <lb/></s> <s>Tunc C erit in D. <lb/><!-- KEEP S--></s>
  
 <s>Sicque fiunt duo triangula I&longs;o&longs;celia A B E &amp; A D C &aelig;qualia <lb/>angulis ad verticem A oppo&longs;itis prop.  <s>Sicque fiunt duo triangula I&longs;o&longs;celia A B E &amp; A D C &aelig;qualia <lb/>angulis ad verticem A oppo&longs;itis prop.
  
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 1. Et in&aelig;qualia cruri&shy;<lb/>bus. </s> 1. Et in&aelig;qualia cruri&shy;<lb/>bus. </s>
  
 <s>Namrect&aelig; ab A puncto Cardini re&longs;pondente in ima parte na&shy;<lb/>uis prop&egrave; puppis extremum ad extremum pror&aelig; id e&longs;t A D, A C <lb/>long&egrave; maiores &longs;unt breui&szlig;imis &yuml;s, qu&aelig; &longs;unt ab <expan abbr="eod&etilde;">eodem</expan> puncto A ad ex&shy;<lb/>tremum puppis A B, A E. </s> <s>Namrect&aelig; ab A puncto Cardini re&longs;pondente in ima parte na&shy;<lb/>uis prop&egrave; puppis extremum ad extremum pror&aelig; id e&longs;t A D, A C <lb/>long&egrave; maiores &longs;unt breui&szlig;imis &yuml;s, qu&aelig; &longs;unt ab <expan abbr="eod&etilde;">eodem</expan> puncto A ad ex&shy;<lb/>tremum puppis A B, A E. <!-- KEEP S--></s>
  
 <s>Peragrabit igitur prora D lineam C B <lb/>long&egrave; maiorem, cum B peragrabit B E multo minorem.<emph.end type="italics"/></s></p><p type="main"> <s>Peragrabit igitur prora D lineam C B <lb/>long&egrave; maiorem, cum B peragrabit B E multo minorem.<emph.end type="italics"/></s></p><p type="main">
  
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 <s><margin.target id="marg21"/>Inclu&longs;a his <lb/>notis [] ni <lb/>hil faciunt <lb/>ad rem.</s></p><p type="head"> <s><margin.target id="marg21"/>Inclu&longs;a his <lb/>notis [] ni <lb/>hil faciunt <lb/>ad rem.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Ex hoc autem.] <emph type="italics"/>Hic continetur tertium &egrave; tribus, qu&aelig; hoc <lb/>capite diximus contineri problemata. </s> <s>Ex hoc autem.] <emph type="italics"/>Hic continetur tertium &egrave; tribus, qu&aelig; hoc <lb/>capite diximus contineri problemata. </s>
  
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 <s><emph type="italics"/>Ergo nauis plus antror&longs;um mouetur: quam palmula retror&longs;um.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Ergo nauis plus antror&longs;um mouetur: quam palmula retror&longs;um.<emph.end type="italics"/></s></p><p type="main">
  
 <s><emph type="italics"/>Huius &longs;yllogi&longs;mi propo&longs;itio &longs;ine confirmatione de&longs;erta e&longs;t ab Ari&shy;<lb/>&longs;totele. </s> <s><emph type="italics"/>Huius &longs;yllogi&longs;mi propo&longs;itio &longs;ine confirmatione de&longs;erta e&longs;t ab Ari&shy;<lb/>&longs;totele. <!-- KEEP S--></s>
  
 <s>Etiam&longs;i <expan abbr="principi&utilde;">principium</expan> non &longs;it. </s> <s>Etiam&longs;i <expan abbr="principi&utilde;">principium</expan> non &longs;it. </s>
  
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 <s>Exi&longs;timauit Nonius ide&ograve; h&icirc;c po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi-<emph.end type="italics"/><lb/><figure id="fig29"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hane de&longs;cri&shy;<lb/>bit figuram. </s> <s>Exi&longs;timauit Nonius ide&ograve; h&icirc;c po&longs;itum e&longs;&longs;e, vt o&longs;tendatur B per remi-<emph.end type="italics"/><lb/><figure id="fig29"/><lb/><emph type="italics"/>gationem factam, non e&longs;&longs;e <lb/>in E: &longs;ed vltra vt in K, <lb/>vnde nouam hane de&longs;cri&shy;<lb/>bit figuram. </s>
  
 <s>qua demon&shy;<lb/>&longs;trat cum A caput remi <lb/>remigatione facta e&longs;t in <lb/>D, palmulam B remi A <lb/>B e&longs;&longs;e non in E: &longs;ed in K <lb/>vltra E. </s> <s>qua demon&shy;<lb/>&longs;trat cum A caput remi <lb/>remigatione facta e&longs;t in <lb/>D, palmulam B remi A <lb/>B e&longs;&longs;e non in E: &longs;ed in K <lb/>vltra E. <!-- KEEP S--></s>
  
 <s>Nihilominu&longs;que <lb/>B K motum palmul&aelig; B <lb/>retror&longs;um minorem e&longs;&longs;e A <lb/>D motu capitis A an&shy;<lb/>tror&longs;um, &longs;ecundum &longs;enten&shy;<lb/>tiam Ari&longs;totelis. </s> <s>Nihilominu&longs;que <lb/>B K motum palmul&aelig; B <lb/>retror&longs;um minorem e&longs;&longs;e A <lb/>D motu capitis A an&shy;<lb/>tror&longs;um, &longs;ecundum &longs;enten&shy;<lb/>tiam Ari&longs;totelis. <!-- KEEP S--></s>
  
 <s>Et &longs;ic <lb/>Nonius remigatione facta <lb/>&amp; tran&longs;uecta naui ponit <lb/>&longs;calmum C tran&longs;uectum e&longs;&longs;e in T: vel ex &longs;uperiori Victoris figura<emph.end type="italics"/><pb pagenum="83"/><emph type="italics"/>ex<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>in<emph.end type="italics"/> <foreign lang="greek"><expan abbr="q.">que</expan></foreign> <emph type="italics"/>Sed &longs;i &longs;ice&longs;&longs;et, T idem &longs;calmus qui C, propior cum &longs;it <lb/>aqu&aelig;: quam ip&longs;e C, &longs;equeretur vt in vnius remigationis principio, <lb/>medio, fine nauis plus &amp; minus mergeretur. </s> <s>Et &longs;ic <lb/>Nonius remigatione facta <lb/>&amp; tran&longs;uecta naui ponit <lb/>&longs;calmum C tran&longs;uectum e&longs;&longs;e in T: vel ex &longs;uperiori Victoris figura<emph.end type="italics"/><pb pagenum="83"/><emph type="italics"/>ex<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>in<emph.end type="italics"/> <foreign lang="greek"><expan abbr="q.">que</expan></foreign> <emph type="italics"/>Sed &longs;i &longs;ice&longs;&longs;et, T idem &longs;calmus qui C, propior cum &longs;it <lb/>aqu&aelig;: quam ip&longs;e C, &longs;equeretur vt in vnius remigationis principio, <lb/>medio, fine nauis plus &amp; minus mergeretur. </s>
  
 <s>quod &longs;i quando fiat, fit <lb/>exaccidenti, nec citra naufrag&yuml; periculum: imo vero &longs;ic non tam <lb/>nauis ferretur antror&longs;um: quam in profundum. </s> <s>quod &longs;i quando fiat, fit <lb/>exaccidenti, nec citra naufrag&yuml; periculum: imo vero &longs;ic non tam <lb/>nauis ferretur antror&longs;um: quam in profundum. </s>
  
 <s>At contr&agrave; latum <lb/>pro&longs;per&egrave; nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em&shy;<lb/>per &aelig;quidi&longs;tantem aqu&aelig;, ni&longs;i quod verius e&longs;t, arcum peripheri&aelig;, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aqu&aelig;.<emph.end type="italics"/><lb/><figure id="fig30"/><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, &amp; <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi&shy;<lb/>gationis, &amp; in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal&shy;<lb/>mul&aelig; B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. </s> <s>At contr&agrave; latum <lb/>pro&longs;per&egrave; nauigium &longs;eruat eundem &longs;calmum, &longs;eu &longs;pondam &longs;uam &longs;em&shy;<lb/>per &aelig;quidi&longs;tantem aqu&aelig;, ni&longs;i quod verius e&longs;t, arcum peripheri&aelig;, &longs;ed <lb/>non &longs;implicem, vt po&longs;tea docebimus, de&longs;cribat, cuius extrema &longs;unt in <lb/>&longs;uperficie aqu&aelig;.<emph.end type="italics"/><lb/><figure id="fig30"/><lb/><emph type="italics"/>vt, &longs;it &longs;ponda <lb/>nauis G H, &amp; <lb/>&longs;calmus C, cui <lb/>alligatus remus <lb/>per medium &longs;it <lb/>A B exi&longs;tens in <lb/>principio remi&shy;<lb/>gationis, &amp; in <lb/>fine &longs;it vbi D E, <lb/>tran&longs;lato C per <lb/>motum nauigij <lb/>impul&longs;i in T: <lb/>&longs;icque motionis <lb/>intra aquam pal&shy;<lb/>mul&aelig; B &longs;patium erit B E: nauigij vero erit C T: tum capitis <lb/>remi A erit A D. <!-- KEEP S--></s>
  
 <s>Et quidem cum anguli qui ad E &longs;int &longs;emper <lb/>&aelig;quales prop.  <s>Et quidem cum anguli qui ad E &longs;int &longs;emper <lb/>&aelig;quales prop.
  
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 <s>H&aelig;cigi&shy;<lb/>tur cum expendo cogor aliud &longs;entire quam Nonius licet timid&egrave; (quia <lb/>viro huic propter &longs;cientiam pr&aelig;&longs;tantem, &amp; quod in loco natus &longs;it, <lb/>vixeritque ad nauigandum opportuni&szlig;imo, mult&ograve; plura quam mihi <lb/>tribuere &longs;oleo) dicam tamen quod &longs;entio nempe conclu&longs;ionem i&longs;tam<emph.end type="italics"/><lb/><foreign lang="greek">d q</foreign> <emph type="italics"/>maiorem e&longs;&longs;e<emph.end type="italics"/> <foreign lang="greek">q z,</foreign> <emph type="italics"/>pertinere e&ograve;, vt inferatur caput remi A <lb/>tran&longs;uecti non con&longs;i&longs;tere in<emph.end type="italics"/> <foreign lang="greek">d</foreign>: <emph type="italics"/>&longs;ed vltra. </s> <s>H&aelig;cigi&shy;<lb/>tur cum expendo cogor aliud &longs;entire quam Nonius licet timid&egrave; (quia <lb/>viro huic propter &longs;cientiam pr&aelig;&longs;tantem, &amp; quod in loco natus &longs;it, <lb/>vixeritque ad nauigandum opportuni&szlig;imo, mult&ograve; plura quam mihi <lb/>tribuere &longs;oleo) dicam tamen quod &longs;entio nempe conclu&longs;ionem i&longs;tam<emph.end type="italics"/><lb/><foreign lang="greek">d q</foreign> <emph type="italics"/>maiorem e&longs;&longs;e<emph.end type="italics"/> <foreign lang="greek">q z,</foreign> <emph type="italics"/>pertinere e&ograve;, vt inferatur caput remi A <lb/>tran&longs;uecti non con&longs;i&longs;tere in<emph.end type="italics"/> <foreign lang="greek">d</foreign>: <emph type="italics"/>&longs;ed vltra. </s>
  
 <s>vt in figur&aelig; no&longs;tr&aelig; pun&shy;<lb/>cto F. </s> <s>vt in figur&aelig; no&longs;tr&aelig; pun&shy;<lb/>cto F. <!-- KEEP S--></s>
  
 <s>Sicque caput A multo anterius latum erit, quam B retr&ograve;. <lb/></s> <s>Sicque caput A multo anterius latum erit, quam B retr&ograve;. <lb/></s>
  
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 <s>Nauis vero idem interuallum conficiet quod &longs;calmus B. <lb/></s> <s>Nauis vero idem interuallum conficiet quod &longs;calmus B. <lb/></s>
  
 <s>Dico igitur rectam A E maiorem e&longs;&longs;erecta B D. </s> <s>Dico igitur rectam A E maiorem e&longs;&longs;erecta B D. <!-- KEEP S--></s>
  
 <s>Secet enim re&shy;<lb/>cta A C rectam E F in G. </s> <s>Secet enim re&shy;<lb/>cta A C rectam E F in G. <!-- KEEP S--></s>
  
 <s>Quia igitur A G E, &amp; B G D <lb/>triangula &longs;unt &aelig;quiangula, erit &longs;icut A G ad B G: &longs;ic A E <lb/>ad B D prop.  <s>Quia igitur A G E, &amp; B G D <lb/>triangula &longs;unt &aelig;quiangula, erit &longs;icut A G ad B G: &longs;ic A E <lb/>ad B D prop.
  
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 6. Maior e&longs;t autem A G ip&longs;a B G, ax. </s> 6. Maior e&longs;t autem A G ip&longs;a B G, ax. </s>
  
 <s>9. <lb/>Erit igitur A E maior quam B D. </s> <s>9. <lb/>Erit igitur A E maior quam B D. <!-- KEEP S--></s>
  
 <s>Itaque caput remi A maius <lb/>percurrit &longs;patium: quam nauis. </s> <s>Itaque caput remi A maius <lb/>percurrit &longs;patium: quam nauis. </s>
  
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 <s><emph type="italics"/>Remus in principio motus habeat <lb/>po&longs;itionem A B C, ducaturque per <lb/>punctum C, in quo remi palmula <lb/>recta C G rectos efficiens angulos <lb/>in puncto G cum recta per quam ad <lb/>motum nauis &longs;calmus B mouetur. </s> <s><emph type="italics"/>Remus in principio motus habeat <lb/>po&longs;itionem A B C, ducaturque per <lb/>punctum C, in quo remi palmula <lb/>recta C G rectos efficiens angulos <lb/>in puncto G cum recta per quam ad <lb/>motum nauis &longs;calmus B mouetur. </s>
  
 <s>Et <lb/>eadem recta C G producatur v&longs;que <lb/>ad E, ita vt G E &longs;it &aelig;qualis rect&aelig; <lb/>B A (qu&aelig; e&longs;t dimidium remi) rur&shy;<lb/>&longs;us per punctum B ducatur recta Q <lb/>B F ad rectos cum ip&longs;a B G, &amp; in <lb/>Q B F incidant perpendiculares A <lb/>Q C F. </s> <s>Et <lb/>eadem recta C G producatur v&longs;que <lb/>ad E, ita vt G E &longs;it &aelig;qualis rect&aelig; <lb/>B A (qu&aelig; e&longs;t dimidium remi) rur&shy;<lb/>&longs;us per punctum B ducatur recta Q <lb/>B F ad rectos cum ip&longs;a B G, &amp; in <lb/>Q B F incidant perpendiculares A <lb/>Q C F. <!-- KEEP S--></s>
  
 <s>Quoniam igitur triangu&shy;<lb/>lorum A B Q &amp; F B C anguli, <lb/>qui ad B ad verticem oppo&longs;iti &longs;unt <lb/>&aelig;quales, prop.  <s>Quoniam igitur triangu&shy;<lb/>lorum A B Q &amp; F B C anguli, <lb/>qui ad B ad verticem oppo&longs;iti &longs;unt <lb/>&aelig;quales, prop.
  
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 <s>Et nauis tantum confecit quan&shy;<lb/>tum A caput remi ex hypothe&longs;i. </s> <s>Et nauis tantum confecit quan&shy;<lb/>tum A caput remi ex hypothe&longs;i. </s>
  
 <s>A autem conficit &longs;patium A <expan abbr="q.">que</expan> <lb/>Igitur B &longs;calmus conficiet &longs;patium B G. </s> <s>A autem conficit &longs;patium A <expan abbr="q.">que</expan> <lb/>Igitur B &longs;calmus conficiet &longs;patium B G. <!-- KEEP S--></s>
  
 <s>Et quia anguli ad G <lb/>recti &longs;unt, ideo cum &longs;calmus peruenerit ad G, habebit remus A C <lb/>rectitudinis &longs;itum E C, quo in loco illius remigationis finis erit. </s> <s>Et quia anguli ad G <lb/>recti &longs;unt, ideo cum &longs;calmus peruenerit ad G, habebit remus A C <lb/>rectitudinis &longs;itum E C, quo in loco illius remigationis finis erit. </s>
  
 <s>Sic <lb/>igitur palmula C &agrave; loco &longs;uo dimota non fuit, quod demon&longs;trandum <lb/>erat. </s> <s>Sic <lb/>igitur palmula C &agrave; loco &longs;uo dimota non fuit, quod demon&longs;trandum <lb/>erat. </s>
  
 <s>C&aelig;terum Nonius h&icirc;c aduertitrectam G C minorem e&longs;&longs;e B C <lb/>remi dimidio, pro quantitate C T. </s> <s>C&aelig;terum Nonius h&icirc;c aduertitrectam G C minorem e&longs;&longs;e B C <lb/>remi dimidio, pro quantitate C T. <!-- KEEP S--></s>
  
 <s>Vnde concludit quo tempore <lb/>&longs;calmus B transfertur in G, palmulam quidem C excurrere in <lb/>ip&longs;am longitudinem C T. </s> <s>Vnde concludit quo tempore <lb/>&longs;calmus B transfertur in G, palmulam quidem C excurrere in <lb/>ip&longs;am longitudinem C T. <!-- KEEP S--></s>
  
 <s>Sed neque antror&longs;um neque retror&longs;um, <lb/>quod Ari&longs;toteles puto vocauit ant&egrave;, palmulam diuidere mare, quod <lb/>&longs;olum demon&longs;trare intendebat. </s> <s>Sed neque antror&longs;um neque retror&longs;um, <lb/>quod Ari&longs;toteles puto vocauit ant&egrave;, palmulam diuidere mare, quod <lb/>&longs;olum demon&longs;trare intendebat. </s>
  
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 1. igitur A Q &amp; B G &aelig;quales erunt ax. </s> 1. igitur A Q &amp; B G &aelig;quales erunt ax. </s>
  
 <s>1.<emph.end type="italics"/></s></p><p type="head"> <s>1.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
  
 <s>Propo&longs;itio tertia.</s></p><p type="main"> <s>Propo&longs;itio tertia.</s></p><p type="main">
  
 <s><emph type="italics"/>Capite remi proprio motu conficiente &longs;patium duplum &longs;pat&yuml; nauis: <lb/>tunc nauis tant&ugrave;m promouebitur, quant&ugrave;m palmula retrocedet.<emph.end type="italics"/></s></p><figure/><p type="main"> <s><emph type="italics"/>Capite remi proprio motu conficiente &longs;patium duplum &longs;pat&yuml; nauis: <lb/>tunc nauis tant&ugrave;m promouebitur, quant&ugrave;m palmula retrocedet.<emph.end type="italics"/></s></p><figure/><p type="main">
  
 <s><emph type="italics"/>Remus incipiente motu &longs;it A C, <lb/>de&longs;inente vero habeat rectitudinis <lb/>&longs;itum F G. </s> <s><emph type="italics"/>Remus incipiente motu &longs;it A C, <lb/>de&longs;inente vero habeat rectitudinis <lb/>&longs;itum F G. <!-- KEEP S--></s>
  
 <s>Et &longs;ic &longs;calmus B pro&shy;<lb/>pter nauis motum conficiet interual&shy;<lb/>lum B D. </s> <s>Et &longs;ic &longs;calmus B pro&shy;<lb/>pter nauis motum conficiet interual&shy;<lb/>lum B D. <!-- KEEP S--></s>
  
 <s>Excitetur igitur &agrave; puncto <lb/>B in vtramque partem perpendicu&shy;<lb/>laris E E, prop.  <s>Excitetur igitur &agrave; puncto <lb/>B in vtramque partem perpendicu&shy;<lb/>laris E E, prop.
  
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 <s><emph type="italics"/>In po&longs;tremo diagrammate ponatur B D minor, quam A E: <lb/>&longs;ed eius dimidio maior. </s> <s><emph type="italics"/>In po&longs;tremo diagrammate ponatur B D minor, quam A E: <lb/>&longs;ed eius dimidio maior. </s>
  
 <s>Dico quod ip&longs;a B D maior e&longs;t, quam C H. <lb/></s> <s>Dico quod ip&longs;a B D maior e&longs;t, quam C H. <lb/><!-- KEEP S--></s>
  
 <s>Nam B D &amp; H E &aelig;quales &longs;unt, adh&aelig;c A E &amp; C E &aelig;qua&shy;<lb/>les &longs;unt. </s> <s>Nam B D &amp; H E &aelig;quales &longs;unt, adh&aelig;c A E &amp; C E &aelig;qua&shy;<lb/>les &longs;unt. </s>
  
 <s>maior igitur erit H E dimidio ip&longs;ius A E. quapropter <lb/>reliqua C H minor dimidio erit eiu&longs;dem A E. </s> <s>maior igitur erit H E dimidio ip&longs;ius A E. quapropter <lb/>reliqua C H minor dimidio erit eiu&longs;dem A E. <!-- KEEP S--></s>
  
 <s>Et minor igitur <lb/>erit C H quam B D. </s> <s>Et minor igitur <lb/>erit C H quam B D. <!-- KEEP S--></s>
  
 <s>Interuallum autem B D, id e&longs;t quod nauis <lb/>confecit, interuallum vero C H remi palmula in contrarium de&shy;<lb/>currit. </s> <s>Interuallum autem B D, id e&longs;t quod nauis <lb/>confecit, interuallum vero C H remi palmula in contrarium de&shy;<lb/>currit. </s>
  
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 <s>Po&longs;terior autem &longs;imiliter <lb/>o&longs;tendetur. </s> <s>Po&longs;terior autem &longs;imiliter <lb/>o&longs;tendetur. </s>
  
 <s>Si enim B D minor e&longs;t dimidio ip&longs;ius A E, minor <lb/>igitur erit &amp; H E dimidio eiu&longs;dem A E. </s> <s>Si enim B D minor e&longs;t dimidio ip&longs;ius A E, minor <lb/>igitur erit &amp; H E dimidio eiu&longs;dem A E. <!-- KEEP S--></s>
  
 <s>Et quoniam A E &amp; <lb/>C E &aelig;quales &longs;unt. </s> <s>Et quoniam A E &amp; <lb/>C E &aelig;quales &longs;unt. </s>
  
 <s>Reliqua igitur C H dimidio eiu&longs;dem A E <lb/>maior erit. </s> <s>Reliqua igitur C H dimidio eiu&longs;dem A E <lb/>maior erit. </s>
  
 <s>Et proinde minor erit B D quam C H. </s> <s>Et proinde minor erit B D quam C H. <!-- KEEP S--></s>
  
 <s>Nauis igitur <lb/>minus interuallum decurret in anteriora: quam remi palmula in <lb/>contrarium. </s> <s>Nauis igitur <lb/>minus interuallum decurret in anteriora: quam remi palmula in <lb/>contrarium. </s>
  
 <s>quod fuit demon&longs;trandum.<emph.end type="italics"/></s></p><p type="head"> <s>quod fuit demon&longs;trandum.<emph.end type="italics"/></s></p><p type="head">
  
 <s>Corollarium.</s></p><p type="main"> <s>Corollarium.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Hinc &amp; ex pr&aelig;cedenti infertur, quod &longs;i caput remi motu pro&shy;<lb/>prio decurrat interuallum maius, quam nauis, &longs;iue duplum, &longs;iue du&shy;<lb/>plo minus, &longs;iue maius: &longs;emper interuallum nauis adiuncto ei quod <lb/>palmula retroce&longs;&longs;erit, &aelig;quale erit ei, quod &agrave; capite remi motu proprio <lb/>conficitur.<emph.end type="italics"/></s></p><pb pagenum="89"/><p type="main"> <s><emph type="italics"/>Hinc &amp; ex pr&aelig;cedenti infertur, quod &longs;i caput remi motu pro&shy;<lb/>prio decurrat interuallum maius, quam nauis, &longs;iue duplum, &longs;iue du&shy;<lb/>plo minus, &longs;iue maius: &longs;emper interuallum nauis adiuncto ei quod <lb/>palmula retroce&longs;&longs;erit, &aelig;quale erit ei, quod &agrave; capite remi motu proprio <lb/>conficitur.<emph.end type="italics"/></s></p><pb pagenum="89"/><p type="main">
  
 <s><emph type="italics"/>Semper enim B D &aelig;qualis e&longs;t H E: tota vero C E qu&aelig; &aelig;qua&shy;<lb/>lis e&longs;t A E ex&longs;uis con&longs;tabit partibus C H, H E.<emph.end type="italics"/></s></p><p type="head"> <s><emph type="italics"/>Semper enim B D &aelig;qualis e&longs;t H E: tota vero C E qu&aelig; &aelig;qua&shy;<lb/>lis e&longs;t A E ex&longs;uis con&longs;tabit partibus C H, H E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="head">
  
 <s>Propo&longs;itionis conuer&longs;io.</s></p><p type="main"> <s>Propo&longs;itionis conuer&longs;io.</s></p><p type="main">
  
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 <s><emph type="italics"/>Naui celerius mota quam caput remi: palmula antror&longs;um moue&shy;<lb/>bitur, nec quicquam retrocedet, idque &longs;pat&yuml; decurret quo nauis motus <lb/>motum capitis remi &longs;uperat.<emph.end type="italics"/></s></p><figure/><p type="main"> <s><emph type="italics"/>Naui celerius mota quam caput remi: palmula antror&longs;um moue&shy;<lb/>bitur, nec quicquam retrocedet, idque &longs;pat&yuml; decurret quo nauis motus <lb/>motum capitis remi &longs;uperat.<emph.end type="italics"/></s></p><figure/><p type="main">
  
 <s><emph type="italics"/>Habeat remus inci&shy;<lb/>piente motu po&longs;itionem <lb/>A C: de&longs;inente vero <lb/><expan abbr="&longs;it&utilde;">&longs;itum</expan> rectitudinis F G. <lb/></s> <s><emph type="italics"/>Habeat remus inci&shy;<lb/>piente motu po&longs;itionem <lb/>A C: de&longs;inente vero <lb/><expan abbr="&longs;it&utilde;">&longs;itum</expan> rectitudinis F G. <lb/><!-- KEEP S--></s>
  
 <s>Scalmus igitur B pro&shy;<lb/>pter nauis motum tran&longs;&shy;<lb/>latus erit in D. </s> <s>Scalmus igitur B pro&shy;<lb/>pter nauis motum tran&longs;&shy;<lb/>latus erit in D. <!-- KEEP S--></s>
  
 <s>Sit ita&shy;<lb/>que interuallum B D <lb/>maius: <expan abbr="qu&atilde;">quam</expan> A H, quod <lb/>e&longs;t &agrave; capite remi motu <lb/>proprio decur&longs;um. </s> <s>Sit ita&shy;<lb/>que interuallum B D <lb/>maius: <expan abbr="qu&atilde;">quam</expan> A H, quod <lb/>e&longs;t &agrave; capite remi motu <lb/>proprio decur&longs;um. </s>
  
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 <s>Dico quod palmu&shy;<lb/>la C in vlteriora mouebitur. </s> <s>Dico quod palmu&shy;<lb/>la C in vlteriora mouebitur. </s>
  
 <s>Nam cum &longs;calmus B prouectus fue&shy;<lb/>rit in D, tran&longs;lata erit ip&longs;a palmula A C, vbi G in rectitudinis <lb/>&longs;itu, interuallumque conficiet C G curuilineum, cui re&longs;pondet C K. <lb/></s> <s>Nam cum &longs;calmus B prouectus fue&shy;<lb/>rit in D, tran&longs;lata erit ip&longs;a palmula A C, vbi G in rectitudinis <lb/>&longs;itu, interuallumque conficiet C G curuilineum, cui re&longs;pondet C K. <lb/><!-- KEEP S--></s>
  
 <s>Mouebitur igitur palmula in anteriora. </s> <s>Mouebitur igitur palmula in anteriora. </s>
  
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 <s>Eadem celeritate mouentur A <lb/>in H, &amp; C ver&longs;us E circa &longs;calmum. </s> <s>Eadem celeritate mouentur A <lb/>in H, &amp; C ver&longs;us E circa &longs;calmum. </s>
  
 <s>Atqui per hypothe&longs;im cele&shy;<lb/>rius fertur nauis: quam C ver&longs;us E. </s> <s>Atqui per hypothe&longs;im cele&shy;<lb/>rius fertur nauis: quam C ver&longs;us E. <!-- KEEP S--></s>
  
 <s>Et mouetur idem C ip&longs;a nauis <lb/>celeritate ver&longs;us K. celerius igitur feretur C ad K: quam ad E. <lb/>quapropter nihil vnquam retrocedet ip&longs;um C. </s> <s>Et mouetur idem C ip&longs;a nauis <lb/>celeritate ver&longs;us K. celerius igitur feretur C ad K: quam ad E. <lb/>quapropter nihil vnquam retrocedet ip&longs;um C. <!-- KEEP S--></s>
  
 <s>Imo vero in vlte&shy;<lb/>riora progredietur, interuallumque decurret C K, quod quidem re&shy;<lb/>linquitur, detracto E C ex E K. </s> <s>Imo vero in vlte&shy;<lb/>riora progredietur, interuallumque decurret C K, quod quidem re&shy;<lb/>linquitur, detracto E C ex E K. <!-- KEEP S--></s>
  
 <s>Si enim remi palmula tota ip&longs;a<emph.end type="italics"/><pb pagenum="90"/><emph type="italics"/>nauig&yuml; celeritate moueretur, vltra k progrederetur, cum B perue&shy;<lb/>niret ad D: &longs;ed retrahitur interim, propter eum motum, qui fit cir&shy;<lb/>ca B. </s> <s>Si enim remi palmula tota ip&longs;a<emph.end type="italics"/><pb pagenum="90"/><emph type="italics"/>nauig&yuml; celeritate moueretur, vltra k progrederetur, cum B perue&shy;<lb/>niret ad D: &longs;ed retrahitur interim, propter eum motum, qui fit cir&shy;<lb/>ca B. </s>
  
 <s>Sic igitur palmul&aelig; celeritate, qu&aelig; &agrave; motu nauig&yuml; prouenit, re&shy;<lb/>tardata, decur&longs;um interuallum erit C K. </s> <s>Sic igitur palmul&aelig; celeritate, qu&aelig; &agrave; motu nauig&yuml; prouenit, re&shy;<lb/>tardata, decur&longs;um interuallum erit C K. <!-- KEEP S--></s>
  
 <s>Videtur autem &longs;olo remo&shy;<lb/>rum impul&longs;u hoc fieri non po&longs;&longs;e: &longs;ed alia in&longs;uper virtute impellente <lb/>opus e&longs;&longs;e: vt vento, vel impetu e&ograve; fluentis aqu&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s>Videtur autem &longs;olo remo&shy;<lb/>rum impul&longs;u hoc fieri non po&longs;&longs;e: &longs;ed alia in&longs;uper virtute impellente <lb/>opus e&longs;&longs;e: vt vento, vel impetu e&ograve; fluentis aqu&aelig;.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>In eodem <lb/>enim exi&longs;tente prora, nauis <lb/>tota transfertur.</s></p><p type="head"> <s>In eodem <lb/>enim exi&longs;tente prora, nauis <lb/>tota transfertur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Id etiam im&longs;um.] <emph type="italics"/>Ari&longs;toteles a&longs;&longs;erit gubernaculum idem fa&shy;<lb/>cere quod remus. </s> <s>Id etiam im&longs;um.] <emph type="italics"/>Ari&longs;toteles a&longs;&longs;erit gubernaculum idem fa&shy;<lb/>cere quod remus. </s>
  
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 <s>Igitur &longs;i quan&shy;<lb/>to remotior fuerit pre&longs;&longs;io, <lb/>facilius &amp; celerius vis <expan abbr="ead&etilde;">eadem</expan> <lb/>pondus im&longs;um mouet: an&shy;<lb/>temna &longs;ublimius po&longs;ita &agrave; <lb/>calce mali, qu&aelig; pre&longs;&longs;io e&longs;t, <lb/>magis di&longs;tare velum faciet.</s></p><p type="head"> <s>Igitur &longs;i quan&shy;<lb/>to remotior fuerit pre&longs;&longs;io, <lb/>facilius &amp; celerius vis <expan abbr="ead&etilde;">eadem</expan> <lb/>pondus im&longs;um mouet: an&shy;<lb/>temna &longs;ublimius po&longs;ita &agrave; <lb/>calce mali, qu&aelig; pre&longs;&longs;io e&longs;t, <lb/>magis di&longs;tare velum faciet.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Antemn&aelig;.] <emph type="italics"/>Antemna lignum e&longs;t per tran&longs;uer&longs;um in malo <lb/>nauis po&longs;itum, &agrave; quo velum dependet. </s> <s>Antemn&aelig;.] <emph type="italics"/>Antemna lignum e&longs;t per tran&longs;uer&longs;um in malo <lb/>nauis po&longs;itum, &agrave; quo velum dependet. </s>
  
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 <s><expan abbr="v&etilde;tus">ventus</expan> <lb/>igitur perpellit, quem &longs;e&shy;<lb/>cundum facit gubernacu&shy;<lb/>lum, auertens &amp; compel&shy;<lb/>lens mare, &longs;imul &amp; naut&aelig; <lb/>pugnant cum vento, &amp; in <lb/>contrariam nituntur par&shy;<lb/>tem.</s></p><p type="head"> <s><expan abbr="v&etilde;tus">ventus</expan> <lb/>igitur perpellit, quem &longs;e&shy;<lb/>cundum facit gubernacu&shy;<lb/>lum, auertens &amp; compel&shy;<lb/>lens mare, &longs;imul &amp; naut&aelig; <lb/>pugnant cum vento, &amp; in <lb/>contrariam nituntur par&shy;<lb/>tem.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Ecornu volunt nauigare.] <emph type="italics"/>Diximus antemnarum extrema <lb/>appellari cornua. </s> <s>Ecornu volunt nauigare.] <emph type="italics"/>Diximus antemnarum extrema <lb/>appellari cornua. </s>
  
 <s>Hinc &egrave; cornu nauigare e&longs;t cum vento cornu <lb/>antemnarum obijcitur. </s> <s>Hinc &egrave; cornu nauigare e&longs;t cum vento cornu <lb/>antemnarum obijcitur. </s>
  
 <s>Quod feci&longs;&longs;e &longs;ignificabat Troianos Virgi-<emph.end type="italics"/></s></p><p type="main"> <s>Quod feci&longs;&longs;e &longs;ignificabat Troianos Virgi-<emph.end type="italics"/><!-- REMOVE S--><arrow.to.target n="marg23"/><lb/><emph type="italics"/>lius hoc ver&longs;u,<emph.end type="italics"/></s></p><p type="margin">
  
 <s><arrow.to.target n="marg23"/><lb/><emph type="italics"/>lius hoc ver&longs;u,<emph.end type="italics"/></s></p><p type="margin"> 
  
 <s><margin.target id="marg23"/>Lib. 3. <lb/>&AElig;neid.</s></p><p type="main"> <s><margin.target id="marg23"/>Lib. 3. <lb/>&AElig;neid.</s></p><p type="main">
  
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 <s>4. in lib.  <s>4. in lib.
  
 6.<emph.end type="italics"/> <foreign lang="greek">e(pid.</foreign> <emph type="italics"/>in Aph. </s> 6.<emph.end type="italics"/> <foreign lang="greek">e(pid.</foreign> <emph type="italics"/>in Aph. <!-- REMOVE S-->24. <lb/>vbi dicit tibicines, pr&aelig;cones, nuncupatum<emph.end type="italics"/> <foreign lang="greek">po/da,</foreign> <emph type="italics"/>id e&longs;t, pedem cane&shy;<lb/>re. </s>
  
  
 <s>24. <lb/>vbi dicit tibicines, pr&aelig;cones, nuncupatum<emph.end type="italics"/> <foreign lang="greek">po/da,</foreign> <emph type="italics"/>id e&longs;t, pedem cane&shy;<lb/>re. </s> 
  
 <s>vbi dubium non e&longs;t Galenum &longs;ignificare volui&longs;&longs;e genus quod&shy;<lb/>dam vocis, qu&aelig; vehementi &amp; longa exufflatione opus habeat, vt <lb/><expan abbr="eti&atilde;&longs;en&longs;it">etian&longs;en&longs;it</expan> Hieronymus Mercurialis, qui hos Galeni locos ob&longs;erua&shy;<lb/>uit. </s> <s>vbi dubium non e&longs;t Galenum &longs;ignificare volui&longs;&longs;e genus quod&shy;<lb/>dam vocis, qu&aelig; vehementi &amp; longa exufflatione opus habeat, vt <lb/><expan abbr="eti&atilde;&longs;en&longs;it">etian&longs;en&longs;it</expan> Hieronymus Mercurialis, qui hos Galeni locos ob&longs;erua&shy;<lb/>uit. </s>
  
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 47. Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant.<emph.end type="italics"/></s></p><p type="margin"> 47. Ii&longs;dem <lb/>autem ventis in contrarium nauigatur prolatis pedibus vt noctu <lb/>plerumque vela concurrant.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg25"/>Lib. 3.</s></p><p type="main"> <s><margin.target id="marg25"/>Lib. 3.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cur quando.] <emph type="italics"/>Sextum e&longs;t problema &longs;peciale de vecte in naui&shy;<lb/>gatione obliqua, quod &longs;oluitur triplici ope nempe veli obliqui ex par&shy;<lb/>te contracti, parteque expan&longs;i gubernaculi tanquam vectis, &amp; re&shy;<lb/>migum renixus.<emph.end type="italics"/></s></p><p type="main"> <s>Cur quando.] <emph type="italics"/>Sextum e&longs;t problema &longs;peciale de vecte in naui&shy;<lb/>gatione obliqua, quod &longs;oluitur triplici ope nempe veli obliqui ex par&shy;<lb/>te contracti, parteque expan&longs;i gubernaculi tanquam vectis, &amp; re&shy;<lb/>migum renixus.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>At cum ventus &longs;ecundus non <lb/>e&longs;t, antemnarum ope rectum nihilominus tenere cur&longs;um po&szlig;ibile e&longs;t, <lb/>Et id vt fiat &amp; quibus de cau&longs;is, explicatur h&icirc;c ab Ari&longs;torele.<emph.end type="italics"/></s></p><p type="main"> <s>At cum ventus &longs;ecundus non <lb/>e&longs;t, antemnarum ope rectum nihilominus tenere cur&longs;um po&szlig;ibile e&longs;t, <lb/>Et id vt fiat &amp; quibus de cau&longs;is, explicatur h&icirc;c ab Ari&longs;torele.<emph.end type="italics"/></s></p><p type="main">
  
 <s>Vento &longs;ecundo.] <emph type="italics"/>Ventus &longs;ecundus e&longs;t cum vt ait Po&euml;ta,<emph.end type="italics"/></s></p><p type="main"> <s>Vento &longs;ecundo.] <emph type="italics"/>Ventus &longs;ecundus e&longs;t cum vt ait Po&euml;ta,<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>A tergo comitatur euntes,</s></p><p type="main"> <s>A tergo comitatur euntes,</s></p><p type="main">
  
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 <s><emph type="italics"/>Sint naues A tendens ad G, &amp; B tendens ad H. ventus ex <lb/>C recta feratur ad D, tanquam ad centrum. </s> <s><emph type="italics"/>Sint naues A tendens ad G, &amp; B tendens ad H. ventus ex <lb/>C recta feratur ad D, tanquam ad centrum. </s>
  
 <s>Itaque vento pro&shy;<lb/>pul&longs;a nauis A, feretur in E, &amp; B in F. </s> <s>Itaque vento pro&shy;<lb/>pul&longs;a nauis A, feretur in E, &amp; B in F. <!-- KEEP S--></s>
  
 <s>Fiat igitur in naui per <lb/>temonem mutatum angulus G A K, qui &longs;it &aelig;qualis angulo G <lb/>A E: tum H B L &aelig;qualis angulo H B F.<emph.end type="italics"/></s></p><p type="main"> <s>Fiat igitur in naui per <lb/>temonem mutatum angulus G A K, qui &longs;it &aelig;qualis angulo G <lb/>A E: tum H B L &aelig;qualis angulo H B F.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Quia igitur nauis A &agrave; vento fertur in E, &amp; per temonis muta&shy;<lb/>tionem in K, feretur recta in G, &amp; eadem ratione B in H. <lb/></s> <s><emph type="italics"/>Quia igitur nauis A &agrave; vento fertur in E, &amp; per temonis muta&shy;<lb/>tionem in K, feretur recta in G, &amp; eadem ratione B in H. <lb/><!-- KEEP S--></s>
  
 <s>Neuter enim cum &longs;uo impul&longs;u pr&aelig;ualeat, medium teneat A G ne&shy;<lb/>ce&longs;&longs;e e&longs;t, quod &longs;i ventus pr&aelig;ualet, adiungitur remigum renixus, qui <lb/>&longs;i non &longs;atis &longs;it, vento cedendum, aut anchora iacienda. </s> <s>Neuter enim cum &longs;uo impul&longs;u pr&aelig;ualeat, medium teneat A G ne&shy;<lb/>ce&longs;&longs;e e&longs;t, quod &longs;i ventus pr&aelig;ualet, adiungitur remigum renixus, qui <lb/>&longs;i non &longs;atis &longs;it, vento cedendum, aut anchora iacienda. </s>
  
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 <s>At &longs;i recti lineum e&longs;&shy;<lb/>&longs;et, rectitudine &longs;ua mul&shy;<lb/>tum plani attingeret.</s></p><p type="head"> <s>At &longs;i recti lineum e&longs;&shy;<lb/>&longs;et, rectitudine &longs;ua mul&shy;<lb/>tum plani attingeret.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr qu&aelig; figurarum.] <emph type="italics"/>In hoc capite redit Ari&longs;toteles ad fi&shy;<lb/>guras rotundas, &amp; qu&aelig;rit generaliter cau&longs;as facilitatis motus <lb/>earum, ea&longs;que quinque a&szlig;ignat <expan abbr="modic&utilde;">modicum</expan> tactum, offen&longs;ationem exi&shy;<lb/>guam, nutum dimidi&aelig; partis, motum <expan abbr="perpetu&utilde;">perpetuum</expan>, motum naturalem.<emph.end type="italics"/></s></p><p type="main"> <s>Cvr qu&aelig; figurarum.] <emph type="italics"/>In hoc capite redit Ari&longs;toteles ad fi&shy;<lb/>guras rotundas, &amp; qu&aelig;rit generaliter cau&longs;as facilitatis motus <lb/>earum, ea&longs;que quinque a&szlig;ignat <expan abbr="modic&utilde;">modicum</expan> tactum, offen&longs;ationem exi&shy;<lb/>guam, nutum dimidi&aelig; partis, motum <expan abbr="perpetu&utilde;">perpetuum</expan>, motum naturalem.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Mul&shy;<lb/>ta autem pr&aelig;ter rotunda vt triangulum &aelig;quilaterum, &amp; tetra&euml;&shy;<lb/>dron planum in puncto contingere po&longs;&longs;unt, &longs;ed non in omni &longs;ui po&longs;i&shy;<lb/>tione, vt cum &longs;ecundum vnam &longs;ui aream &longs;uperiacent: at rotunda <lb/>&longs;iue &longs;ph&aelig;ra &longs;it, &longs;iue circulus planum in vno puncto quouis modo &longs;e&shy;<lb/>cundum curuaturam po&longs;ita attingunt. </s> <s>Mul&shy;<lb/>ta autem pr&aelig;ter rotunda vt triangulum &aelig;quilaterum, &amp; tetra&euml;&shy;<lb/>dron planum in puncto contingere po&longs;&longs;unt, &longs;ed non in omni &longs;ui po&longs;i&shy;<lb/>tione, vt cum &longs;ecundum vnam &longs;ui aream &longs;uperiacent: at rotunda <lb/>&longs;iue &longs;ph&aelig;ra &longs;it, &longs;iue circulus planum in vno puncto quouis modo &longs;e&shy;<lb/>cundum curuaturam po&longs;ita attingunt. </s>
  
 <s>quod demon&longs;tratum e&longs;t de <lb/>illo quidem &agrave; Theodo&longs;. </s> <s>quod demon&longs;tratum e&longs;t de <lb/>illo quidem &agrave; Theodo&longs;. <!-- REMOVE S-->prop.
  
 <s>prop.  
  
 2. lib.  2. lib.
  
 1. de Sph&aelig;r. </s> 1. de Sph&aelig;r. <!-- REMOVE S-->de hoc vero ab Eucli&shy;<lb/>de prop. </s>
  
  
  
  
 <s>de hoc vero ab Eucli&shy;<lb/>de prop. </s> 
  
 <s>16. lib.  <s>16. lib.
  
 3.<emph.end type="italics"/></s></p><p type="main"> 3.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Et quia non off.] <emph type="italics"/>Secunda cau&longs;a e&longs;t de occur&longs;antibus, qu&aelig; <lb/>rur&longs;us cum minimam partem rotundorum attingant, &amp; atterant, <lb/>minus impediunt, quam qu&aelig; plus attingunt, pluribu&longs;que occur&longs;ant.<emph.end type="italics"/></s></p><p type="main"> <s>Et quia non off.] <emph type="italics"/>Secunda cau&longs;a e&longs;t de occur&longs;antibus, qu&aelig; <lb/>rur&longs;us cum minimam partem rotundorum attingant, &amp; atterant, <lb/>minus impediunt, quam qu&aelig; plus attingunt, pluribu&longs;que occur&longs;ant.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Sit enim <lb/>ABCD <lb/><figure id="fig35"/><lb/><expan abbr="rectili-ne&utilde;">rectili&shy;<lb/>neum</expan> pla&shy;<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>&amp; <expan abbr="qui-d&etilde;">qui&shy;<lb/>dem</expan> &longs;ina&shy;<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, &amp; ad rectos in&longs;i&longs;tet rectis A C <lb/>&amp; B D &amp; omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s> <s>Sit enim <lb/>ABCD <lb/><figure id="fig35"/><lb/><expan abbr="rectili-ne&utilde;">rectili&shy;<lb/>neum</expan> pla&shy;<lb/>no E F <lb/><expan abbr="in&longs;i&longs;t&etilde;s">in&longs;i&longs;tens</expan>, <lb/>&amp; <expan abbr="qui-d&etilde;">qui&shy;<lb/>dem</expan> &longs;ina&shy;<lb/>turale e&longs;t <lb/>in&longs;ita grauitate verget ver&longs;us G, &amp; ad rectos in&longs;i&longs;tet rectis A C <lb/>&amp; B D &amp; omnibus inter illas interiectis vt H I, K L, M N, <lb/>&longs;icque totidem momentis ver&longs;us G contendit. </s>
  
 <s>Pr&aelig;terea a&euml;r vel <lb/>aqua medium occurrens lateri A C, quantum in &longs;e, e&longs;t impedit tot <lb/>punctis, quot &longs;unt in A C.<emph.end type="italics"/></s></p><p type="main"> <s>Pr&aelig;terea a&euml;r vel <lb/>aqua medium occurrens lateri A C, quantum in &longs;e, e&longs;t impedit tot <lb/>punctis, quot &longs;unt in A C.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Sit &amp; cubus A D, planum K L, vna &longs;uperficierum &longs;uarum <lb/>E D attingens, tum habeat rectas A E, C F, B D, H G, ad<emph.end type="italics"/><pb pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten-<emph.end type="italics"/><lb/><figure id="fig36"/><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u&shy;<lb/>perficie E D <lb/>nixu naturali <lb/>coniunct&aelig;. </s> <s><emph type="italics"/>Sit &amp; cubus A D, planum K L, vna &longs;uperficierum &longs;uarum <lb/>E D attingens, tum habeat rectas A E, C F, B D, H G, ad<emph.end type="italics"/><pb pagenum="103"/><emph type="italics"/>rectos in&longs;i&longs;ten-<emph.end type="italics"/><lb/><figure id="fig36"/><lb/><emph type="italics"/>tes, vt totidem <lb/>alias, quot &longs;unt <lb/>puncta in &longs;u&shy;<lb/>perficie E D <lb/>nixu naturali <lb/>coniunct&aelig;. </s>
  
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 <s>Sed id nullum locum ha&shy;<lb/>bet, quia qu&aelig; hactenus dicta &longs;unt im&shy;<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurar&utilde;">figurarum</expan> in <lb/>plano <expan abbr="n&otilde;">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili &amp; <expan abbr="c&otilde;-">con-</expan><emph.end type="italics"/><lb/><figure id="fig38"/><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tenti&utilde;">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rot&utilde;d&aelig;">rotund&aelig;</expan> exi&longs;ten&shy;<lb/>tis &aelig;quabilius coniuncto nixu ad cen&shy;<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figur&aelig;. </s> <s>Sed id nullum locum ha&shy;<lb/>bet, quia qu&aelig; hactenus dicta &longs;unt im&shy;<lb/>pedimenta figurarum, &longs;unt <expan abbr="figurar&utilde;">figurarum</expan> in <lb/>plano <expan abbr="n&otilde;">non</expan> <expan abbr="aut&etilde;">autem</expan> in concauo &longs;imili &amp; <expan abbr="c&otilde;-">con-</expan><emph.end type="italics"/><lb/><figure id="fig38"/><lb/><emph type="italics"/>gruenti <expan abbr="exi&longs;tenti&utilde;">exi&longs;tentium</expan>, cuiu&longs;modi e&longs;t terra, <lb/>cuiu&longs;que omnes partes <expan abbr="rot&utilde;d&aelig;">rotund&aelig;</expan> exi&longs;ten&shy;<lb/>tis &aelig;quabilius coniuncto nixu ad cen&shy;<lb/>trum contendunt: quam &longs;i alterius e&longs;&longs;et <lb/>cuiu&longs;cunque figur&aelig;. </s>
  
 <s>Sit enim cubica <lb/>cuius centrum A &amp; B punctum an-<emph.end type="italics"/><pb pagenum="104"/><emph type="italics"/>gulare, &amp; ita remotius quam C laterale, non tanto nixu contendet: <lb/>quam ip&longs;um C. </s> <s>Sit enim cubica <lb/>cuius centrum A &amp; B punctum an-<emph.end type="italics"/><pb pagenum="104"/><emph type="italics"/>gulare, &amp; ita remotius quam C laterale, non tanto nixu contendet: <lb/>quam ip&longs;um C. <!-- KEEP S--></s>
  
 <s>Qu&ograve; enim mobile naturale propius e&longs;t, e&ograve; obnixius <lb/>incumbit. </s> <s>Qu&ograve; enim mobile naturale propius e&longs;t, e&ograve; obnixius <lb/>incumbit. </s>
  
 <s>Eadem e&longs;t ratio cuiu&longs;cumque figur&aelig; pr&aelig;terquam &longs;ph&aelig;ri&shy;<lb/>c&aelig;, cuius puncta B, C, D, in eadem &longs;uperficie &aelig;qualiter &agrave; centro <lb/>&longs;emper di&longs;tant. </s> <s>Eadem e&longs;t ratio cuiu&longs;cumque figur&aelig; pr&aelig;terquam &longs;ph&aelig;ri&shy;<lb/>c&aelig;, cuius puncta B, C, D, in eadem &longs;uperficie &aelig;qualiter &agrave; centro <lb/>&longs;emper di&longs;tant. </s>
  
 <s>Itaque terra, vt medium vndiquaque obtineret, &amp; <lb/>vt qu&aelig; in ea omnia puncta &aelig;quali nixu ad eius centrum niteren&shy;<lb/>tur, debuit e&longs;&longs;e &longs;ph&aelig;rica: ob idque immobili&szlig;ima e&longs;t, nullibique <lb/>nutat, contr&agrave; quam dixit Po&euml;ta,<emph.end type="italics"/></s></p><p type="main"> <s>Itaque terra, vt medium vndiquaque obtineret, &amp; <lb/>vt qu&aelig; in ea omnia puncta &aelig;quali nixu ad eius centrum niteren&shy;<lb/>tur, debuit e&longs;&longs;e &longs;ph&aelig;rica: ob idque immobili&szlig;ima e&longs;t, nullibique <lb/>nutat, contr&agrave; quam dixit Po&euml;ta,<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>A&longs;pice nutantem conuexo pondere mundum. <lb/><emph type="italics"/>Nutus enim hic e&longs;t inclinatio ali&ograve; facta: quam id, &agrave; quo &longs;u&longs;penditur, <lb/>vel &longs;u&longs;tinetur, inclinet. </s> <s>A&longs;pice nutantem conuexo pondere mundum. <lb/><emph type="italics"/>Nutus enim hic e&longs;t inclinatio ali&ograve; facta: quam id, &agrave; quo &longs;u&longs;penditur, <lb/>vel &longs;u&longs;tinetur, inclinet. </s>
  
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 <s>V oluntas illa e&longs;t intelligenti&aelig;, qu&aelig; c&oelig;lo vt mens <lb/>corpori pr&aelig;e&longs;t. </s> <s>V oluntas illa e&longs;t intelligenti&aelig;, qu&aelig; c&oelig;lo vt mens <lb/>corpori pr&aelig;e&longs;t. </s>
  
 <s>Et per &longs;e cum motum hunc creet &longs;ine defatigatione e&longs;t <lb/>hic motus in regulari&szlig;imo corpore regulari&szlig;imus, &amp; facillimo ad <lb/>motum veloci&szlig;imus, vt e&longs;t apud Ptolom&aelig;um concl. </s> <s>Et per &longs;e cum motum hunc creet &longs;ine defatigatione e&longs;t <lb/>hic motus in regulari&szlig;imo corpore regulari&szlig;imus, &amp; facillimo ad <lb/>motum veloci&szlig;imus, vt e&longs;t apud Ptolom&aelig;um concl. <!-- REMOVE S-->1. lib.
  
  1.<emph.end type="italics"/> <foreign lang="greek">meg. <lb/></foreign><!-- REMOVE S--><foreign lang="greek">sun<gap/>.</foreign> <emph type="italics"/>Velocitatem autem intelliget, qui intellexerit quot millia&shy;<lb/>ria, habeat circulus in c&oelig;lo extimo maximus, &amp; quot ex his vno&shy;<lb/>quoque momento conficiat. </s>
  
  
 <s>1. lib.  
  
 1.<emph.end type="italics"/> <foreign lang="greek">meg. <lb/></foreign></s> 
  
 <s><foreign lang="greek">sun<gap/>.</foreign> <emph type="italics"/>Velocitatem autem intelliget, qui intellexerit quot millia&shy;<lb/>ria, habeat circulus in c&oelig;lo extimo maximus, &amp; quot ex his vno&shy;<lb/>quoque momento conficiat. </s> 
  
 <s>Intelligetur quoque quomodo illius c&oelig;li <lb/>motus &longs;it omnium motuum <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan>. </s> <s>Intelligetur quoque quomodo illius c&oelig;li <lb/>motus &longs;it omnium motuum <expan abbr="m&etilde;&longs;ura">men&longs;ura</expan>. </s>
  
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 4. lib.  4. lib.
  
 2. de C&oelig;l. </s> 2. de C&oelig;l. <!-- REMOVE S-->hic autem mo&shy;<lb/>tus minimus debet dici, qui per minimam lineam earum qu&aelig; &aelig;qua&shy;<lb/>les areas includunt fit, cuiu&longs;modi e&longs;t circularis, &longs;icque &longs;ecundum eam <lb/>motus erit celerrimus, quia minimus.<emph.end type="italics"/></s>
  
 <s>hic autem mo&shy;<lb/>tus minimus debet dici, qui per minimam lineam earum qu&aelig; &aelig;qua&shy;<lb/>les areas includunt fit, cuiu&longs;modi e&longs;t circularis, &longs;icque &longs;ecundum eam <lb/>motus erit celerrimus, quia minimus.<emph.end type="italics"/></s></p><p type="main"> </p><p type="main">
  
 <s>Multum plani.] <emph type="italics"/>Ex hoc loco intelligatur, quod mobile, quant&ograve; <lb/>latius e&longs;t: tant&ograve; difficilius moueri per planum. </s> <s>Multum plani.] <emph type="italics"/>Ex hoc loco intelligatur, quod mobile, quant&ograve; <lb/>latius e&longs;t: tant&ograve; difficilius moueri per planum. </s>
  
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 <s>Quandoquidem &longs;i in <lb/>contrarium: quam qu&ograve; <lb/>vergat, moueatur, difficulter mouebitur.</s></p><p type="head"> <s>Quandoquidem &longs;i in <lb/>contrarium: quam qu&ograve; <lb/>vergat, moueatur, difficulter mouebitur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Pr&aelig;terea qu&ograve;.] <emph type="italics"/>Tertia cau&longs;a facilitatis e&longs;t motus, quando mo&shy;<lb/>bile in omni po&longs;itu &longs;uper plano dimidia &longs;ui parte quoquouer&longs;um <lb/>ad planum ip&longs;um acclinat, vt fit in rotundo, quod ip&longs;um tangit in <lb/>puncto, vt ante docuimus, &longs;icque quoquouer&longs;um vergit. </s> <s>Pr&aelig;terea qu&ograve;.] <emph type="italics"/>Tertia cau&longs;a facilitatis e&longs;t motus, quando mo&shy;<lb/>bile in omni po&longs;itu &longs;uper plano dimidia &longs;ui parte quoquouer&longs;um <lb/>ad planum ip&longs;um acclinat, vt fit in rotundo, quod ip&longs;um tangit in <lb/>puncto, vt ante docuimus, &longs;icque quoquouer&longs;um vergit. </s>
  
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 <s>Rect&agrave; in&longs;i&longs;tit.] <emph type="italics"/>Diameter circuli rect&agrave; in&longs;i&longs;tere in plano di&shy;<lb/>citur cum ad omnes rectas lineas &agrave; quibus tangitur in ip&longs;o plano<emph.end type="italics"/><pb pagenum="106"/><emph type="italics"/>rectos angulos ef-<emph.end type="italics"/><lb/><figure id="fig39"/><lb/><emph type="italics"/>ficit ex def. </s> <s>Rect&agrave; in&longs;i&longs;tit.] <emph type="italics"/>Diameter circuli rect&agrave; in&longs;i&longs;tere in plano di&shy;<lb/>citur cum ad omnes rectas lineas &agrave; quibus tangitur in ip&longs;o plano<emph.end type="italics"/><pb pagenum="106"/><emph type="italics"/>rectos angulos ef-<emph.end type="italics"/><lb/><figure id="fig39"/><lb/><emph type="italics"/>ficit ex def. </s>
  
 <s>3. lib. <lb/></s> <s>3. lib. <lb/><!-- REMOVE S-->11. vt A B dia&shy;<lb/>meter ad B O, B D, <lb/>B E, B F. <!-- KEEP S--></s>
  
  
 <s>11. vt A B dia&shy;<lb/>meter ad B O, B D, <lb/>B E, B F. </s> 
  
 <s>Et A B <lb/>quia diameter e&longs;t <lb/>circulum &longs;uum bi&shy;<lb/>fariam diuidit ex <lb/>def. </s> <s>Et A B <lb/>quia diameter e&longs;t <lb/>circulum &longs;uum bi&shy;<lb/>fariam diuidit ex <lb/>def. </s>
  
 <s>17. lib.  <s>17. lib.
  
 1. Sic&shy;<lb/>que tanta pars e&longs;t <lb/>ad G, quanta ad H. </s> 1. Sic&shy;<lb/>que tanta pars e&longs;t <lb/>ad G, quanta ad H. <!-- KEEP S--></s>
  
 <s>Similiter maximus in &longs;ph&aelig;ra circulus recta <lb/>in&longs;i&longs;tens &longs;ph&aelig;ram bifariam di&longs;pe&longs;cit.<emph.end type="italics"/></s></p><p type="main"> <s>Similiter maximus in &longs;ph&aelig;ra circulus recta <lb/>in&longs;i&longs;tens &longs;ph&aelig;ram bifariam di&longs;pe&longs;cit.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Eam &longs;iquidem, qua <lb/>mouetur in <expan abbr="obliqu&utilde;">obliquum</expan>, mo&shy;<lb/>to rimpellit: illa ver&ograve;, qu&aelig; &longs;uper diametro efficitur, ip&longs;e&shy;<lb/>met &longs;e circulus mouet.</s></p><p type="head"> <s>Eam &longs;iquidem, qua <lb/>mouetur in <expan abbr="obliqu&utilde;">obliquum</expan>, mo&shy;<lb/>to rimpellit: illa ver&ograve;, qu&aelig; &longs;uper diametro efficitur, ip&longs;e&shy;<lb/>met &longs;e circulus mouet.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Pr&aelig;terea nonnulli.] <emph type="italics"/>Quarta cau&longs;a e&longs;t de perpetuo motu con&shy;<lb/>firmata nonnullorum, &longs;ed innominatorum authoritate: &amp; &longs;imi&shy;<lb/>litudine <gap/> contrar&yuml;s &longs;ic. </s> <s>Pr&aelig;terea nonnulli.] <emph type="italics"/>Quarta cau&longs;a e&longs;t de perpetuo motu con&shy;<lb/>firmata nonnullorum, &longs;ed innominatorum authoritate: &amp; &longs;imi&shy;<lb/>litudine <gap/> contrar&yuml;s &longs;ic. </s>
  
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 <s>Nunc igitur hoc cum ve&shy;<lb/>rum e&longs;&longs;e experiamur, &amp; ratio conuincat, quant&ograve; quodque remotius <lb/>e&longs;t &agrave; loco, in quo naturaliter quie&longs;ceret, tant&ograve; ad eum magis conari, <lb/>remotioris maior erit nutus. </s> <s>Nunc igitur hoc cum ve&shy;<lb/>rum e&longs;&longs;e experiamur, &amp; ratio conuincat, quant&ograve; quodque remotius <lb/>e&longs;t &agrave; loco, in quo naturaliter quie&longs;ceret, tant&ograve; ad eum magis conari, <lb/>remotioris maior erit nutus. </s>
  
 <s>In peripheria maiori punctum A re&shy;<lb/>motius puncto D. </s> <s>In peripheria maiori punctum A re&shy;<lb/>motius puncto D. <!-- KEEP S--></s>
  
 <s>Magis igitur nutat. </s> <s>Magis igitur nutat. </s>
  
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 <s>Et line&aelig; <lb/>in librili, qu&aelig; &longs;untab agina <lb/>vtrimque, &longs;unt radij.</s></p><p type="head"> <s>Et line&aelig; <lb/>in librili, qu&aelig; &longs;untab agina <lb/>vtrimque, &longs;unt radij.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvrper maiores.] <emph type="italics"/>In hoc capite tractatur problema de ma&shy;<lb/>ioribus circulis, &amp; &longs;ph&aelig;ricis. </s> <s>Cvrper maiores.] <emph type="italics"/>In hoc capite tractatur problema de ma&shy;<lb/>ioribus circulis, &amp; &longs;ph&aelig;ricis. </s>
  
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 <s>Geminatur aliquando, tripli&shy;<lb/>catur, &amp; amplius multiplicatur. </s> <s>Geminatur aliquando, tripli&shy;<lb/>catur, &amp; amplius multiplicatur. </s>
  
 <s>Vnde &longs;unt illa tractoria infinita&shy;<lb/>rum propemodum virium Tri&longs;pa&longs;ton, Pente&longs;pa&longs;ton, Poly&longs;pa&longs;ton, in <lb/>quibus rotul&aelig; &longs;ibi inuicem &longs;ub&longs;eruientes, &amp; tanquam onus attra&shy;<lb/>hendum diuidentes &longs;umma facilitate ip&longs;um attrahunt, de quo qui <lb/>multa admirabilia videre volet, videat apud Guidum Vbaldum.<emph.end type="italics"/></s></p><p type="main"> <s>Vnde &longs;unt illa tractoria infinita&shy;<lb/>rum propemodum virium Tri&longs;pa&longs;ton, Pente&longs;pa&longs;ton, Poly&longs;pa&longs;ton, in <lb/>quibus rotul&aelig; &longs;ibi inuicem &longs;ub&longs;eruientes, &amp; tanquam onus attra&shy;<lb/>hendum diuidentes &longs;umma facilitate ip&longs;um attrahunt, de quo qui <lb/>multa admirabilia videre volet, videat apud Guidum Vbaldum.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Et&longs;cytal&aelig;.] <emph type="italics"/>Scytala lignum e&longs;t cylindricum cuius pro duplici <lb/>v&longs;u duo genera &longs;tatuuntur. </s> <s>Et&longs;cytal&aelig;.] <emph type="italics"/>Scytala lignum e&longs;t cylindricum cuius pro duplici <lb/>v&longs;u duo genera &longs;tatuuntur. </s>
  
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 <s>At qu&ograve; propendet, fa&shy;<lb/>cile: non propendet aut&egrave;m in obliquum.</s></p><p type="head"> <s>At qu&ograve; propendet, fa&shy;<lb/>cile: non propendet aut&egrave;m in obliquum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvrlibrile.] <emph type="italics"/>In hoc capite &longs;peciale tractatur problema, quod <lb/>generale e&longs;&longs;e po&longs;&longs;et. </s> <s>Cvrlibrile.] <emph type="italics"/>In hoc capite &longs;peciale tractatur problema, quod <lb/>generale e&longs;&longs;e po&longs;&longs;et. </s>
  
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 <s>In <lb/>vtri&longs;que enim his locis re&shy;<lb/>uoluitur circulus, &amp; conci&shy;<lb/>tatus impellitur.</s></p><p type="head"> <s>In <lb/>vtri&longs;que enim his locis re&shy;<lb/>uoluitur circulus, &amp; conci&shy;<lb/>tatus impellitur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytal&aelig; e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu&shy;<lb/>los currui<emph.end type="italics"/><lb/><figure id="fig43"/><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi&shy;<lb/>gura A <lb/>B qu&aelig; <lb/>mota iu&shy;<lb/>go rotis annexo, contr&agrave;, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, &amp; antror&longs;um. </s> <s>Cvr onera.] <emph type="italics"/>Secundum genus &longs;cytal&aelig; e&longs;t lignum ferrumue <lb/>cylindricum oblongum in extremis rotulas habens intra annu&shy;<lb/>los currui<emph.end type="italics"/><lb/><figure id="fig43"/><lb/><emph type="italics"/>affixos <lb/>ver&longs;atile, <lb/>vt e&longs;t fi&shy;<lb/>gura A <lb/>B qu&aelig; <lb/>mota iu&shy;<lb/>go rotis annexo, contr&agrave;, quam in curribus, in quibus non rotis: &longs;ed <lb/>currui annectitur, omnibus &longs;uis partibus mouetur duobus motibus <lb/>&longs;imul, circumcirca, &amp; antror&longs;um. </s>
  
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 <s>At iactus &agrave; manu&shy;<lb/>re&longs;pectu fund&aelig; breuis e&longs;t.</s></p><p type="head"> <s>At iactus &agrave; manu&shy;<lb/>re&longs;pectu fund&aelig; breuis e&longs;t.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>A Funda.] <emph type="italics"/>Funda e&longs;t funiculus duobus capitibus manu captus, <lb/>altero cum an&longs;ula digito circumuoluta ne exeat, altero &longs;ine an&shy;<lb/>&longs;ula, vt dimitti po&szlig;it. </s> <s>A Funda.] <emph type="italics"/>Funda e&longs;t funiculus duobus capitibus manu captus, <lb/>altero cum an&longs;ula digito circumuoluta ne exeat, altero &longs;ine an&shy;<lb/>&longs;ula, vt dimitti po&szlig;it. </s>
  
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 <s>Erat autem <lb/>fund&aelig; v&longs;us ade&ograve; frequens Balearium in&longs;ularum populis, vt matres <lb/>filios non al&yuml;s auibus ve&longs;ci paterentur, quam quas funda &longs;ibi com&shy;<lb/>para&longs;&longs;ent. </s> <s>Erat autem <lb/>fund&aelig; v&longs;us ade&ograve; frequens Balearium in&longs;ularum populis, vt matres <lb/>filios non al&yuml;s auibus ve&longs;ci paterentur, quam quas funda &longs;ibi com&shy;<lb/>para&longs;&longs;ent. </s>
  
 <s>Vnde &amp; funda balearis appellatur &agrave; Po&euml;ta,<emph.end type="italics"/></s></p><p type="main"> <s>Vnde &amp; funda balearis appellatur &agrave; Po&euml;ta,<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Stuppea torquentur balearis verbera fund&aelig;. <lb/><emph type="italics"/>Nec&longs;olum lapides funda pro&yuml;ci&longs;olere: &longs;ed &amp; alia, vt plumbum, pa&shy;<lb/>tet ex Ouidio.<emph.end type="italics"/></s></p><pb pagenum="117"/><p type="main"> <s>Stuppea torquentur balearis verbera fund&aelig;. <lb/><emph type="italics"/>Nec&longs;olum lapides funda pro&yuml;ci&longs;olere: &longs;ed &amp; alia, vt plumbum, pa&shy;<lb/>tet ex Ouidio.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="117"/><p type="main">
  
 <s>Non &longs;ecus exar&longs;it quam cum balearica plumbum</s></p><p type="main"> <s>Non &longs;ecus exar&longs;it quam cum balearica plumbum</s></p><p type="main">
  
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 <s>An propter hoc.] <emph type="italics"/>Alter e&longs;t modus &longs;olutionis problematis <lb/>&longs;umptus &egrave; funda tanquam radio longiore. </s> <s>An propter hoc.] <emph type="italics"/>Alter e&longs;t modus &longs;olutionis problematis <lb/>&longs;umptus &egrave; funda tanquam radio longiore. </s>
  
 <s>Syllog. </s> <s>Syllog. <!-- REMOVE S-->&longs;ic e&longs;t. </s>
  
  
 <s>&longs;ic e&longs;t. </s> 
  
 <s>Quant&ograve; li&shy;<lb/>nea &agrave; centro e&longs;t maior, tant&ograve; celerius mouet.<emph.end type="italics"/></s></p><p type="main"> <s>Quant&ograve; li&shy;<lb/>nea &agrave; centro e&longs;t maior, tant&ograve; celerius mouet.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Et id linea e&longs;t qu&aelig; <lb/>ex centro.</s></p><p type="head"> <s>Et id linea e&longs;t qu&aelig; <lb/>ex centro.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr circa eandem.] <emph type="italics"/>In hoc capite continentur duo proble&shy;<lb/>mata vnum de ergatis, alterum de &longs;ucculis. </s> <s>Cvr circa eandem.] <emph type="italics"/>In hoc capite continentur duo proble&shy;<lb/>mata vnum de ergatis, alterum de &longs;ucculis. </s>
  
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 <s>Videat apud Guidum V baldum in Mechanicis. </s> <s>Videat apud Guidum V baldum in Mechanicis. </s>
  
 <s>Ad <lb/>hoc genus etiam in&longs;trumenti referantur ingentes ill&aelig; rot&aelig; in vno <lb/>axe quarum vna labore vnius atque alterius hominis vertitur: alte&shy;<lb/>ra &longs;itulis quibus in &longs;ua circumferentia accommodate dispo&longs;itis con&shy;<lb/>ferta e&longs;t &longs;ui conuer&longs;ione ex vna parte aquam Sequan&aelig; &longs;eptis contra&shy;<lb/>ctam exhau&longs;it, ex altera ali&ograve; refudit, vt ex lapide quadrato firma <lb/><expan abbr="iacer&etilde;tur">iacerentur</expan> fundamenta illius eximij pontis, qui magno ornamento &amp; <lb/>commoditate celeberrim&aelig; vrbium Luteti&aelig;, iu&longs;&longs;u Henrici III. Regis<emph.end type="italics"/><pb pagenum="121"/><emph type="italics"/>no&longs;tri Chri&longs;tiani&szlig;imi inchoatus, &amp; maiori iam ex parte con&longs;tru&shy;<lb/>ctus perfectionem ab Henrico IIII. </s> <s>Ad <lb/>hoc genus etiam in&longs;trumenti referantur ingentes ill&aelig; rot&aelig; in vno <lb/>axe quarum vna labore vnius atque alterius hominis vertitur: alte&shy;<lb/>ra &longs;itulis quibus in &longs;ua circumferentia accommodate dispo&longs;itis con&shy;<lb/>ferta e&longs;t &longs;ui conuer&longs;ione ex vna parte aquam Sequan&aelig; &longs;eptis contra&shy;<lb/>ctam exhau&longs;it, ex altera ali&ograve; refudit, vt ex lapide quadrato firma <lb/><expan abbr="iacer&etilde;tur">iacerentur</expan> fundamenta illius eximij pontis, qui magno ornamento &amp; <lb/>commoditate celeberrim&aelig; vrbium Luteti&aelig;, iu&longs;&longs;u Henrici III. Regis<emph.end type="italics"/><pb pagenum="121"/><emph type="italics"/>no&longs;tri Chri&longs;tiani&szlig;imi inchoatus, &amp; maiori iam ex parte con&longs;tru&shy;<lb/>ctus perfectionem ab Henrico IIII. <!-- KEEP S--></s>
  
  <s>Rege nunc no&longs;tro magnifi&shy;<lb/>centi&szlig;imo de&longs;iderat, ea in parte, qua flumen &agrave; &longs;chola S. <!-- REMOVE S-->Germani <lb/>ad plateam Augu&longs;tinorum traducitur. </s>
  
 <s>Rege nunc no&longs;tro magnifi&shy;<lb/>centi&szlig;imo de&longs;iderat, ea in parte, qua flumen &agrave; &longs;chola S. </s> 
  
 <s>Germani <lb/>ad plateam Augu&longs;tinorum traducitur. </s> 
  
 <s>Hanc, vt &longs;pero, exorabit cla&shy;<lb/>ri&szlig;imus vir dominus Marlyius rationum regiarum pr&aelig;&longs;es, &amp; mer&shy;<lb/>catorum pr&aelig;fectus digni&szlig;imus.<emph.end type="italics"/></s></p><p type="main"> <s>Hanc, vt &longs;pero, exorabit cla&shy;<lb/>ri&szlig;imus vir dominus Marlyius rationum regiarum pr&aelig;&longs;es, &amp; mer&shy;<lb/>catorum pr&aelig;fectus digni&szlig;imus.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Quod frangitur autem moueri nece&longs;&longs;e e&longs;t.</s></p><p type="head"> <s>Quod frangitur autem moueri nece&longs;&longs;e e&longs;t.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Mos e&longs;t ignem excitare in paruo foco volentium, baculos lon&shy;<lb/>giores bifariam frangere. </s> <s><emph type="italics"/>Mos e&longs;t ignem excitare in paruo foco volentium, baculos lon&shy;<lb/>giores bifariam frangere. </s>
  
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 <s>Crocis autem <lb/>propter maris motum, cum <lb/>quo etiam mouentur, con&shy;<lb/>tingit in perpetua motione <lb/>e&longs;&longs;e, &amp; in conuolutione of&shy;<lb/>fen&longs;are, &amp; nece&longs;&longs;e e&longs;t pr&aelig;&shy;<lb/>cipu&egrave; id contingere earum <lb/>extremitatibus.</s></p><p type="head"> <s>Crocis autem <lb/>propter maris motum, cum <lb/>quo etiam mouentur, con&shy;<lb/>tingit in perpetua motione <lb/>e&longs;&longs;e, &amp; in conuolutione of&shy;<lb/>fen&longs;are, &amp; nece&longs;&longs;e e&longs;t pr&aelig;&shy;<lb/>cipu&egrave; id contingere earum <lb/>extremitatibus.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr circa.] <emph type="italics"/>Credibile e&longs;t duo lumina &longs;apienti&aelig;, &amp; virtutis, <lb/>Pub. </s> <s>Cvr circa.] <emph type="italics"/>Credibile e&longs;t duo lumina &longs;apienti&aelig;, &amp; virtutis, <lb/>Pub. <!-- REMOVE S-->Scipionem Africanum minorem, &amp; Caium L&aelig;lium cum <lb/>propter actuo&longs;am vitam animi remi&szlig;ioni aliquando acquie&longs;centes, <lb/>&amp; ruri feriantes ad Caietam portum Campani&aelig;, Lucrinumque la&shy;<lb/>cum conchas id e&longs;t duriores te&longs;tas <expan abbr="pi&longs;ci&utilde;">pi&longs;cium</expan>, vt purpur&aelig;, muricis, o&longs;treo&shy;<lb/>rum, &amp; vmbilicos id e&longs;t rotundos calculos in &longs;peciem no&longs;tri vmbi-<emph.end type="italics"/></s>
  
 <s>Scipionem Africanum minorem, &amp; Caium L&aelig;lium cum <lb/>propter actuo&longs;am vitam animi remi&szlig;ioni aliquando acquie&longs;centes, <lb/>&amp; ruri feriantes ad Caietam portum Campani&aelig;, Lucrinumque la&shy;<lb/>cum conchas id e&longs;t duriores te&longs;tas <expan abbr="pi&longs;ci&utilde;">pi&longs;cium</expan>, vt purpur&aelig;, muricis, o&longs;treo&shy;<lb/>rum, &amp; vmbilicos id e&longs;t rotundos calculos in &longs;peciem no&longs;tri vmbi-<emph.end type="italics"/></s></p><p type="main"> </p><p type="main">
  
 <s><arrow.to.target n="marg29"/><lb/><emph type="italics"/>lici puerorum more colligerent (vt recen&longs;ent Cicero &amp; Valerius <lb/>maximus) qu&aelig;&longs;i&longs;&longs;eidem quod h&icirc; Ari&longs;toteles. </s> <s><arrow.to.target n="marg29"/><lb/><emph type="italics"/>lici puerorum more colligerent (vt recen&longs;ent Cicero &amp; Valerius <lb/>maximus) qu&aelig;&longs;i&longs;&longs;eidem quod h&icirc; Ari&longs;toteles. <!-- KEEP S--></s>
  
 <s>Cur &longs;cilicet vmbilici <lb/>illi (crocas Ari&longs;toteles appellat) rotundi &longs;int, cum antea e&longs;&longs;ent lapi&shy;<lb/>des maiu&longs;culi minime <expan abbr="rot&utilde;di">rotundi</expan>, &longs;ed angulati, vt &amp; partes concharum <lb/>o&longs;treorum in&aelig;quales &amp; a&longs;per&aelig;. </s> <s>Cur &longs;cilicet vmbilici <lb/>illi (crocas Ari&longs;toteles appellat) rotundi &longs;int, cum antea e&longs;&longs;ent lapi&shy;<lb/>des maiu&longs;culi minime <expan abbr="rot&utilde;di">rotundi</expan>, &longs;ed angulati, vt &amp; partes concharum <lb/>o&longs;treorum in&aelig;quales &amp; a&longs;per&aelig;. </s>
  
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 <s>Et cau&longs;a <lb/>generalis e&longs;&longs;et hoc modo: qu&aelig;cunque non &longs;unt rotunda frequenti, &amp; <lb/>celeri, &amp; maiori conuer &longs;ione eminentis vt anguli atteruntur, pul&shy;<lb/>&longs;ant enim ea parte magis occurrentia qu&aelig;libet &longs;iue liquida, &longs;iue &longs;oli&shy;<lb/>da, &amp; vici&szlig;im pul&longs;antur ab occurrentibus: &longs;icque &longs;ublatis per attri&shy;<lb/>tionem eminent&yuml;s &amp; angulis rotundantur.<emph.end type="italics"/><pb pagenum="124"/><arrow.to.target n="marg30"/></s></p><p type="margin"> <s>Et cau&longs;a <lb/>generalis e&longs;&longs;et hoc modo: qu&aelig;cunque non &longs;unt rotunda frequenti, &amp; <lb/>celeri, &amp; maiori conuer &longs;ione eminentis vt anguli atteruntur, pul&shy;<lb/>&longs;ant enim ea parte magis occurrentia qu&aelig;libet &longs;iue liquida, &longs;iue &longs;oli&shy;<lb/>da, &amp; vici&szlig;im pul&longs;antur ab occurrentibus: &longs;icque &longs;ublatis per attri&shy;<lb/>tionem eminent&yuml;s &amp; angulis rotundantur.<emph.end type="italics"/><pb pagenum="124"/><arrow.to.target n="marg30"/></s></p><p type="margin">
  
 <s><margin.target id="marg29"/>Lib. 2. de <lb/>Orat. </s> <s><margin.target id="marg29"/>Lib. 2. de <lb/>Orat. <!-- REMOVE S-->cap.
  
 <s>cap.  
  
 8. <lb/>lib.  8. <lb/>lib.
  
 8.</s></p><p type="margin"> 8.</s>
  
  </p><p type="margin">
  
  
 <s><margin.target id="marg30"/>Cap.  <s><margin.target id="marg30"/>Cap.
  
  
 11. lib. <lb/></s> 11. lib. <lb/><!-- REMOVE S-->1. de v&longs;u <lb/>part.</s>
  
 <s>1. de v&longs;u <lb/>part.</s></p><p type="main"> </p><p type="main">
  
 <s>Itaque nece&longs;&longs;e e&longs;t.] <emph type="italics"/>Ex his collige verum e&longs;&longs;e illud quod e&longs;t <lb/>apud Galenum, &longs;olam figurarum rotundam ad vix patiendum ex&shy;<lb/>qui&longs;it&egrave; comparatam e&longs;&longs;e, vt qu&aelig; nullum expo&longs;itum angulum frangi <lb/>potentem habeat, id e&longs;t, vt ex hoc capite interpretor, nullam partem <lb/>exteriorem &agrave; medio alteram altera di&longs;tantiorem.<emph.end type="italics"/></s></p><p type="main"> <s>Itaque nece&longs;&longs;e e&longs;t.] <emph type="italics"/>Ex his collige verum e&longs;&longs;e illud quod e&longs;t <lb/>apud Galenum, &longs;olam figurarum rotundam ad vix patiendum ex&shy;<lb/>qui&longs;it&egrave; comparatam e&longs;&longs;e, vt qu&aelig; nullum expo&longs;itum angulum frangi <lb/>potentem habeat, id e&longs;t, vt ex hoc capite interpretor, nullam partem <lb/>exteriorem &agrave; medio alteram altera di&longs;tantiorem.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>At in <lb/>breuibus <expan abbr="extrem&utilde;">extremum</expan> fit vici-<pb pagenum="125"/><gap/><lb/>num hypomochlio quie&longs;&shy;<lb/>centi.</s></p><p type="head"> <s>At in <lb/>breuibus <expan abbr="extrem&utilde;">extremum</expan> fit vici-<pb pagenum="125"/><gap/><lb/>num hypomochlio quie&longs;&shy;<lb/>centi.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr quant&ograve;.] <emph type="italics"/>In exercitu &longs;&aelig;pe milites dum feriantur roboris <lb/>experiundi, vel exercendi gratia longas ha&longs;tas humi iacentes <lb/>vna manu, aut vtraque in alterum extremorum iniecta &amp; compre&shy;<lb/>hendente nituntur attollere, quou&longs;que perpendiculares fiant plano <lb/>horizontis: qua in &longs;ublatione videre licet ha&longs;tas illas longas vt cra&longs;&shy;<lb/>&longs;iores &longs;int, inflecti tamen magis medio &longs;ublationis tempore: quam <lb/>breues, licet tenuiores &longs;int. </s> <s>Cvr quant&ograve;.] <emph type="italics"/>In exercitu &longs;&aelig;pe milites dum feriantur roboris <lb/>experiundi, vel exercendi gratia longas ha&longs;tas humi iacentes <lb/>vna manu, aut vtraque in alterum extremorum iniecta &amp; compre&shy;<lb/>hendente nituntur attollere, quou&longs;que perpendiculares fiant plano <lb/>horizontis: qua in &longs;ublatione videre licet ha&longs;tas illas longas vt cra&longs;&shy;<lb/>&longs;iores &longs;int, inflecti tamen magis medio &longs;ublationis tempore: quam <lb/>breues, licet tenuiores &longs;int. </s>
  
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 <s>diuellit enim ip&longs;um <foreign lang="greek">b.</foreign></s></p><p type="head"> <s>diuellit enim ip&longs;um <foreign lang="greek">b.</foreign></s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cau&longs;a pote&longs;tatis cunei.] <emph type="italics"/>Cuneus e&longs;t in&longs;trumentum ex ma&shy;<lb/>teria firma in&longs;tar pyramidis &agrave; ba&longs;i lata in angu&longs;tum fa&longs;tigia-<emph.end type="italics"/><pb pagenum="127"/><figure id="fig46"/><lb/><emph type="italics"/>tum. </s> <s>Cau&longs;a pote&longs;tatis cunei.] <emph type="italics"/>Cuneus e&longs;t in&longs;trumentum ex ma&shy;<lb/>teria firma in&longs;tar pyramidis &agrave; ba&longs;i lata in angu&longs;tum fa&longs;tigia-<emph.end type="italics"/><pb pagenum="127"/><figure id="fig46"/><lb/><emph type="italics"/>tum. </s>
  
 <s>Vt A B C D E F. </s> <s>Vt A B C D E F. <!-- KEEP S--></s>
  
 <s>In <lb/>hac forma duo con&longs;ideranda &longs;unt, <lb/>alterum e&longs;t ex amplitudine ba&longs;is, <lb/>qua cuneus ad &longs;u&longs;cipiendam &longs;u&longs;ti&shy;<lb/>nendamque percu&szlig;ionem apti&szlig;i&shy;<lb/>mus e&longs;t: alterum e&longs;t ex vertice acu&shy;<lb/>to, qui ob id facile intr&agrave; corpora penetrans &longs;ibi viam facit. </s> <s>In <lb/>hac forma duo con&longs;ideranda &longs;unt, <lb/>alterum e&longs;t ex amplitudine ba&longs;is, <lb/>qua cuneus ad &longs;u&longs;cipiendam &longs;u&longs;ti&shy;<lb/>nendamque percu&szlig;ionem apti&szlig;i&shy;<lb/>mus e&longs;t: alterum e&longs;t ex vertice acu&shy;<lb/>to, qui ob id facile intr&agrave; corpora penetrans &longs;ibi viam facit. </s>
  
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 <s>Sed hanc &longs;ic paul&ograve; am&shy;<lb/>plius &amp; apertius repetemus. </s> <s>Sed hanc &longs;ic paul&ograve; am&shy;<lb/>plius &amp; apertius repetemus. </s>
  
 <s>Sit cuneus A B C cuius vertex B: <lb/>&amp; &longs;it A B &aelig;qualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="fig48"/><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, &amp; H B &longs;it <lb/>&aelig;qualis ip&longs;i B K. percu&shy;<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. </s> <s>Sit cuneus A B C cuius vertex B: <lb/>&amp; &longs;it A B &aelig;qualis B C, <lb/>quod autem diuidendum<emph.end type="italics"/><lb/><figure id="fig48"/><lb/><emph type="italics"/>e&longs;t, &longs;it D E F G, &longs;itque <lb/>pars cunei H B K intra <lb/>D E F G, &amp; H B &longs;it <lb/>&aelig;qualis ip&longs;i B K. percu&shy;<lb/>tiatur vt fieri &longs;olet cuneus <lb/>in A C. <!-- KEEP S--></s>
  
 <s>Dum cuneus in <lb/>A C percutitur, A B fit <lb/>vectis, cuius hypomoch&shy;<lb/>lium e&longs;t H, &amp; pondus in <lb/>B, eodemque modo C B <lb/>fit vectis, cuius hypomo&shy;<lb/>chlium e&longs;t K, &amp; pondus &longs;imiliter in B. </s> <s>Dum cuneus in <lb/>A C percutitur, A B fit <lb/>vectis, cuius hypomoch&shy;<lb/>lium e&longs;t H, &amp; pondus in <lb/>B, eodemque modo C B <lb/>fit vectis, cuius hypomo&shy;<lb/>chlium e&longs;t K, &amp; pondus &longs;imiliter in B. </s>
  
 <s>Sed dum percutitur cuneus <lb/>maiori adhuc ip&longs;ius portione, intra ip&longs;um D E F G ingreditur, <lb/>quam prius e&longs;&longs;et: &longs;it autem portio h&aelig;c M B L, &longs;itque M B ip&longs;i <lb/>B L &aelig;qualis. </s> <s>Sed dum percutitur cuneus <lb/>maiori adhuc ip&longs;ius portione, intra ip&longs;um D E F G ingreditur, <lb/>quam prius e&longs;&longs;et: &longs;it autem portio h&aelig;c M B L, &longs;itque M B ip&longs;i <lb/>B L &aelig;qualis. </s>
  
 <s>Et cum M B, B L &longs;int ip&longs;is H B, B K maiores: <lb/>erit M L maior H K. </s> <s>Et cum M B, B L &longs;int ip&longs;is H B, B K maiores: <lb/>erit M L maior H K. <!-- KEEP S--></s>
  
 <s>Dumigitur M L erit in &longs;itu H K, opor&shy;<lb/>tet vt fiat maior diui&longs;io, &amp; D moueatur ver&longs;us O: G autem ver&shy;<lb/>&longs;us N, &amp; qu&ograve; maior pars cunei intra D E F G ingredietur, e&ograve; <lb/>maior fiet diui&longs;io: &amp; D, G magis adhuc impellentur ver&longs;us O, <lb/>N. </s> <s>Dumigitur M L erit in &longs;itu H K, opor&shy;<lb/>tet vt fiat maior diui&longs;io, &amp; D moueatur ver&longs;us O: G autem ver&shy;<lb/>&longs;us N, &amp; qu&ograve; maior pars cunei intra D E F G ingredietur, e&ograve; <lb/>maior fiet diui&longs;io: &amp; D, G magis adhuc impellentur ver&longs;us O, <lb/>N. <!-- KEEP S--></s>
  
 <s>Parsigitur K G eius quod diuiditur mouebitur &agrave; vecte A B, <lb/>cuius hypomochlium e&longs;t H, &amp; pondus in B, ita vt punctum B <lb/>ip&longs;ius vectis A B impellat partem k G: &amp; pars H D mouebi&shy;<lb/>tur &agrave; vecte C B, cuius hypomochlium e&longs;t k, ita vt B vecte C B<emph.end type="italics"/><pb pagenum="131"/><emph type="italics"/>partem H D impellat. </s> <s>Parsigitur K G eius quod diuiditur mouebitur &agrave; vecte A B, <lb/>cuius hypomochlium e&longs;t H, &amp; pondus in B, ita vt punctum B <lb/>ip&longs;ius vectis A B impellat partem k G: &amp; pars H D mouebi&shy;<lb/>tur &agrave; vecte C B, cuius hypomochlium e&longs;t k, ita vt B vecte C B<emph.end type="italics"/><pb pagenum="131"/><emph type="italics"/>partem H D impellat. </s>
  
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 <s>Ratio e&longs;t, quia in&longs;trumenta mouent per contactum: vectis autem A <lb/>B tangit partem H D motam in H, non &longs;imiliter tangit in B. <lb/></s> <s>Ratio e&longs;t, quia in&longs;trumenta mouent per contactum: vectis autem A <lb/>B tangit partem H D motam in H, non &longs;imiliter tangit in B. <lb/></s>
  
 <s>Id ip&longs;um in&longs;uper comprobat ex cuneo inter duas moles &longs;eparatas in&shy;<lb/>terpo&longs;ito: &longs;ed quod pace tanti viri dixerim certum e&longs;t, quod ni&longs;i B <lb/>vertex cunei tangeret molem in B, &amp; ip&longs;am impelleret atque diui&shy;<lb/>deret, partes H D, K G non vtrinque cederent in O &amp; N. </s> <s>Id ip&longs;um in&longs;uper comprobat ex cuneo inter duas moles &longs;eparatas in&shy;<lb/>terpo&longs;ito: &longs;ed quod pace tanti viri dixerim certum e&longs;t, quod ni&longs;i B <lb/>vertex cunei tangeret molem in B, &amp; ip&longs;am impelleret atque diui&shy;<lb/>deret, partes H D, K G non vtrinque cederent in O &amp; N. <!-- KEEP S--></s>
  
 <s>Quod <lb/>igitur cedant motus is &longs;ecundarius e&longs;t, &amp; priorem qui e&longs;t in B con&shy;<lb/>&longs;equens. </s> <s>Quod <lb/>igitur cedant motus is &longs;ecundarius e&longs;t, &amp; priorem qui e&longs;t in B con&shy;<lb/>&longs;equens. </s>
  
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 <s>Cochlea &longs;ine matrice.<lb/><emph type="italics"/>cylindrum D E, qui &longs;ine <expan abbr="impedim&etilde;to">impedimento</expan> verti po&szlig;it per vectem K F<emph.end type="italics"/><pb pagenum="132"/><emph type="italics"/>cylindri axi an-<emph.end type="italics"/></s></p><figure/><p type="caption"> <s>Cochlea &longs;ine matrice.<lb/><emph type="italics"/>cylindrum D E, qui &longs;ine <expan abbr="impedim&etilde;to">impedimento</expan> verti po&szlig;it per vectem K F<emph.end type="italics"/><pb pagenum="132"/><emph type="italics"/>cylindri axi an-<emph.end type="italics"/></s></p><figure/><p type="caption">
  
 <s>Cochlea cum matrice.<lb/><emph type="italics"/>nexum: pondus <lb/>mouendum &longs;it <lb/>L M N O ex <lb/>parte M N im&shy;<lb/>mobile, vt in <lb/>his qu&aelig; <expan abbr="&longs;cind&umacr;-tur">&longs;cindun&shy;<lb/>tur</expan>, fieri &longs;olet: <lb/>cunei vero vertex A &longs;it intra rimam R S. </s> <s>Cochlea cum matrice.<lb/><emph type="italics"/>nexum: pondus <lb/>mouendum &longs;it <lb/>L M N O ex <lb/>parte M N im&shy;<lb/>mobile, vt in <lb/>his qu&aelig; <expan abbr="&longs;cind&umacr;-tur">&longs;cindun&shy;<lb/>tur</expan>, fieri &longs;olet: <lb/>cunei vero vertex A &longs;it intra rimam R S. <!-- KEEP S--></s>
  
 <s>Itaque facile e&longs;t videre <lb/>quod dum K F circumuer&longs;us erit vbi K P, vertex A non erit <lb/>amplius intra R S: &longs;ed cunei pars alia vt T V: qu&aelig; cum maior <lb/>&longs;it, quam R S. </s> <s>Itaque facile e&longs;t videre <lb/>quod dum K F circumuer&longs;us erit vbi K P, vertex A non erit <lb/>amplius intra R S: &longs;ed cunei pars alia vt T V: qu&aelig; cum maior <lb/>&longs;it, quam R S. <!-- KEEP S--></s>
  
 <s>E&longs;t enim pars qu&aelig;que cunei remotior &agrave; vertice, latior <lb/>propinquiore: ergo vt T V &longs;it intra K S, oportet vt R cedat, mo&shy;<lb/>ueaturque ver&longs;us X, &amp; S ver&longs;us E vt faciunt ea qu&aelig; &longs;cindun&shy;<lb/>tur. </s> <s>E&longs;t enim pars qu&aelig;que cunei remotior &agrave; vertice, latior <lb/>propinquiore: ergo vt T V &longs;it intra K S, oportet vt R cedat, mo&shy;<lb/>ueaturque ver&longs;us X, &amp; S ver&longs;us E vt faciunt ea qu&aelig; &longs;cindun&shy;<lb/>tur. </s>
  
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 <s>Alterum <lb/>quia e&longs;t vectis, quo cochlea circumuertitur, qui etiam qu&ograve; longior, e&ograve; <lb/>facilius: &longs;ed etiam tardius mouet.<emph.end type="italics"/></s></p><p type="margin"> <s>Alterum <lb/>quia e&longs;t vectis, quo cochlea circumuertitur, qui etiam qu&ograve; longior, e&ograve; <lb/>facilius: &longs;ed etiam tardius mouet.<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg33"/>Lib 1. R <lb/>Math.</s></p><p type="main"> <s><margin.target id="marg33"/>Lib 1. R <lb/>Math.<!-- KEEP S--></s></p><p type="main">
  
 <s><gap/></s></p><p type="main"> <s><gap/></s></p><p type="main">
  
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 <s>Quare &longs;i quis in duobus <lb/>tignis inter &longs;e <expan abbr="i&utilde;ctis&egrave;">iunctis&egrave;</expan> <expan abbr="c&otilde;tra-rio">contra&shy;<lb/>rio</expan> duas trochleas <expan abbr="c&otilde;pon&etilde;s">componens</expan> <lb/>ip&longs;is in circulo circum du&shy;<lb/>xerit funiculum, qui lorum <lb/>qu&ograve;d &longs;u&longs;pendatur ex altero <lb/>tignorum, &amp; alterum inni&shy;<lb/>tatur, aut appofitum &longs;it ad <lb/>trochleas, atque initium <lb/>funiculi traxerit, vt parua <lb/>vi trahat, magna tamen <lb/>pondera adducet.</s></p><pb pagenum="134"/><p type="head"> <s>Quare &longs;i quis in duobus <lb/>tignis inter &longs;e <expan abbr="i&utilde;ctis&egrave;">iunctis&egrave;</expan> <expan abbr="c&otilde;tra-rio">contra&shy;<lb/>rio</expan> duas trochleas <expan abbr="c&otilde;pon&etilde;s">componens</expan> <lb/>ip&longs;is in circulo circum du&shy;<lb/>xerit funiculum, qui lorum <lb/>qu&ograve;d &longs;u&longs;pendatur ex altero <lb/>tignorum, &amp; alterum inni&shy;<lb/>tatur, aut appofitum &longs;it ad <lb/>trochleas, atque initium <lb/>funiculi traxerit, vt parua <lb/>vi trahat, magna tamen <lb/>pondera adducet.</s></p><pb pagenum="134"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>De trochleis.] <emph type="italics"/>Trochlea e&longs;t in&longs;trumentum vno aut pluribus <lb/>orbiculis circa &longs;uos axiculos mobilibus &amp; fune ductario con&shy;<lb/>&longs;tans ad trahendum, &amp; attollendum onera aptum. </s> <s>De trochleis.] <emph type="italics"/>Trochlea e&longs;t in&longs;trumentum vno aut pluribus <lb/>orbiculis circa &longs;uos axiculos mobilibus &amp; fune ductario con&shy;<lb/>&longs;tans ad trahendum, &amp; attollendum onera aptum. </s>
  
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 <s>Si igitur quid <lb/>rei natura, &amp; v&longs;us o&longs;ten&shy;<lb/>dat, ponamus: illam parti&shy;<lb/>culam &longs;ic <expan abbr="c&otilde;mutabimus">commutabimus</expan>, <lb/>vt dicamus vnam &egrave; dua&shy;<lb/>bus trochleis habere <expan abbr="lor&utilde;">lorum</expan>, <lb/>quod dependeat ab altero <lb/>vel vtroque tignorum: al&shy;<lb/>teri vero infixum &amp; <expan abbr="ap-po&longs;it&utilde;">ap&shy;<lb/>po&longs;itum</expan> e&longs;&longs;e pondus trahen&shy;<lb/>dum vel attollendum. </s> <s>Si igitur quid <lb/>rei natura, &amp; v&longs;us o&longs;ten&shy;<lb/>dat, ponamus: illam parti&shy;<lb/>culam &longs;ic <expan abbr="c&otilde;mutabimus">commutabimus</expan>, <lb/>vt dicamus vnam &egrave; dua&shy;<lb/>bus trochleis habere <expan abbr="lor&utilde;">lorum</expan>, <lb/>quod dependeat ab altero <lb/>vel vtroque tignorum: al&shy;<lb/>teri vero infixum &amp; <expan abbr="ap-po&longs;it&utilde;">ap&shy;<lb/>po&longs;itum</expan> e&longs;&longs;e pondus trahen&shy;<lb/>dum vel attollendum. </s>
  
 <s>Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D &amp; E F<emph.end type="italics"/><lb/><figure id="fig51"/><lb/><emph type="italics"/>(plura duobus vt tria, &amp; qua&shy;<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int &amp; <lb/>du&aelig; trochle&aelig; A &amp; B, qua&shy;<lb/>rum altera A ad vtrumque ti&shy;<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon&shy;<lb/>dus G, tracto loro ab ini&shy;<lb/>tio vbi I, pondus G cum tro&shy;<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/></s></p><p type="main"> <s>Vt <lb/>&longs;int duo tigna &longs;e&longs;e ex ad-<emph.end type="italics"/><pb pagenum="135"/><emph type="italics"/>uer&longs;o fulcientia C D &amp; E F<emph.end type="italics"/><lb/><figure id="fig51"/><lb/><emph type="italics"/>(plura duobus vt tria, &amp; qua&shy;<lb/>tuor, vt &longs;e validius fulciant, vt <lb/>plurimum &longs;tatuuntur) &longs;int &amp; <lb/>du&aelig; trochle&aelig; A &amp; B, qua&shy;<lb/>rum altera A ad vtrumque ti&shy;<lb/>gnum reuinciatur loro H A, <lb/>alteri vero B appo&longs;itum &longs;it pon&shy;<lb/>dus G, tracto loro ab ini&shy;<lb/>tio vbi I, pondus G cum tro&shy;<lb/>chlea B attolletur ver&longs;us A.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Vel etiam &longs;it trochlea in&shy;<lb/>ferior in qua orbiculi duo cui <lb/>pondus A per vncum apponi&shy;<lb/>tur, &longs;uperior in qua duo item or&shy;<lb/>biculi. </s> <s><emph type="italics"/>Vel etiam &longs;it trochlea in&shy;<lb/>ferior in qua orbiculi duo cui <lb/>pondus A per vncum apponi&shy;<lb/>tur, &longs;uperior in qua duo item or&shy;<lb/>biculi. </s>
  
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 <s>Itaque &agrave; <lb/>prima trahente <expan abbr="p&otilde;dus">pondus</expan> qua&shy;<lb/>tuor librarum, ab vltima <lb/>trahi multo minus.</s></p><p type="head"> <s>Itaque &agrave; <lb/>prima trahente <expan abbr="p&otilde;dus">pondus</expan> qua&shy;<lb/>tuor librarum, ab vltima <lb/>trahi multo minus.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>An quiaidem.] <emph type="italics"/>Solutio e&longs;t propo&longs;iti problematis &longs;umpta &egrave; <lb/>vecte multiplicato. </s> <s>An quiaidem.] <emph type="italics"/>Solutio e&longs;t propo&longs;iti problematis &longs;umpta &egrave; <lb/>vecte multiplicato. </s>
  
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 <s>In X autem &longs;it <lb/>harpago ad apprehendendum pondus E attollendum vel deprimen&shy;<lb/>dum. </s> <s>In X autem &longs;it <lb/>harpago ad apprehendendum pondus E attollendum vel deprimen&shy;<lb/>dum. </s>
  
 <s>Si eni<gap/> extremum L ab harpagone V liberetur, &amp; ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb pagenum="138"/><figure id="fig52"/><lb/><emph type="italics"/>&longs;pat&yuml;, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. </s> <s>Si eni<gap/> extremum L ab harpagone V liberetur, &amp; ad A <lb/>traducatur, de&longs;cendet vno qua&longs;i nictu oculi pondus E, tantum<emph.end type="italics"/><pb pagenum="138"/><figure id="fig52"/><lb/><emph type="italics"/>&longs;pat&yuml;, quanti &longs;unt funiculi N M, Q P, <lb/>R S, B T. <!-- KEEP S--></s>
  
 <s>Tanti erunt autem, <lb/>quantos loci, ad quem de&longs;cendere, vel <lb/>&egrave; quo educere volumus, profunditas, <lb/>po&longs;tulat. </s> <s>Tanti erunt autem, <lb/>quantos loci, ad quem de&longs;cendere, vel <lb/>&egrave; quo educere volumus, profunditas, <lb/>po&longs;tulat. </s>
  
 <s>Si autem attollere oporteat, <lb/>extremum L cum erit in A, traduce&shy;<lb/>tur ad harpagonem V.<emph.end type="italics"/></s></p><p type="main"> <s>Si autem attollere oporteat, <lb/>extremum L cum erit in A, traduce&shy;<lb/>tur ad harpagonem V.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>In hac machina igitur h&aelig;c duo in&shy;<lb/>&longs;unt, facilitas motionis ob multitudi&shy;<lb/>nem trochlearum, &amp; celeritas motio&shy;<lb/>nis. </s> <s><emph type="italics"/>In hac machina igitur h&aelig;c duo in&shy;<lb/>&longs;unt, facilitas motionis ob multitudi&shy;<lb/>nem trochlearum, &amp; celeritas motio&shy;<lb/>nis. </s>
  
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 <s>Diuo C&aelig;&longs;ari Diui Iulij. </s> <s>Diuo C&aelig;&longs;ari Diui Iulij. </s>
  
 <s>F. Augu&longs;to: Ti.</s></p><p type="main"> <s>F. Augu&longs;to: Ti.<!-- REMOVE S-->C&aelig;&longs;ari Diui Augu&longs;ti. </s></p><p type="main">
  
  
 <s>C&aelig;&longs;ari Diui Augu&longs;ti. </s> 
  
 <s>F. </s> <s>F. <!-- KEEP S--></s>
  
 <s>Augu&longs;to &longs;acrum.</s></p><p type="main"> <s>Augu&longs;to &longs;acrum.</s></p><p type="main">
  
 <s><emph type="italics"/>Hic igitur cum ob &longs;itum (attingebat enim propemodum &longs;acrarium <lb/>ba&longs;ilic&aelig; S. Petri, quod ad meridiem vergit) &amp; eorum quibus &longs;acra&shy;<lb/>tus erat execrationem, &longs;ummo pontifici di&longs;plicui&longs;&longs;et, vt al&yuml;s nonnul&shy;<lb/>lis, qui ante eum in cathedra D. </s> <s><emph type="italics"/>Hic igitur cum ob &longs;itum (attingebat enim propemodum &longs;acrarium <lb/>ba&longs;ilic&aelig; S. Petri, quod ad meridiem vergit) &amp; eorum quibus &longs;acra&shy;<lb/>tus erat execrationem, &longs;ummo pontifici di&longs;plicui&longs;&longs;et, vt al&yuml;s nonnul&shy;<lb/>lis, qui ante eum in cathedra D. <!-- KEEP S--></s>
  
 <s>Petri &longs;ederunt: &longs;ed qui rem ob eius, vt <lb/>exi&longs;timabant,<emph.end type="italics"/> <foreign lang="greek">a)dunami/an</foreign>: <emph type="italics"/>aut ob &longs;umptuum magnitudinem ab ag&shy;<lb/>gre&szlig;ione deterriti, nunquam attentarunt. </s> <s>Petri &longs;ederunt: &longs;ed qui rem ob eius, vt <lb/>exi&longs;timabant,<emph.end type="italics"/> <foreign lang="greek">a)dunami/an</foreign>: <emph type="italics"/>aut ob &longs;umptuum magnitudinem ab ag&shy;<lb/>gre&szlig;ione deterriti, nunquam attentarunt. </s>
  
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 <s><emph type="italics"/>Itaque quod pri&longs;cis illis natur&aelig; miraculis qu&aelig; &agrave; Leone decimo ad <lb/>Paulum III. or bis tulit, desperatum plan&egrave; opus <expan abbr="iudicat&umacr;">iudicatum</expan> erat. </s> <s><emph type="italics"/>Itaque quod pri&longs;cis illis natur&aelig; miraculis qu&aelig; &agrave; Leone decimo ad <lb/>Paulum III. or bis tulit, desperatum plan&egrave; opus <expan abbr="iudicat&umacr;">iudicatum</expan> erat. </s>
  
 <s>Id <expan abbr="n&umacr;c">nunc</expan> <lb/>Sixti V. </s> <s>Id <expan abbr="n&umacr;c">nunc</expan> <lb/>Sixti V. <!-- KEEP S--></s>
  
 <s>Pontificis cura &amp; magnificentia, Dominici Fontan&aelig; ope&shy;<lb/>ra &amp; indu&longs;tria, &amp;<emph.end type="italics"/> <foreign lang="greek"><gap/> mhxanikw_n</foreign> <emph type="italics"/>auxilia <expan abbr="perfecer&umacr;t">perfecerunt</expan>, atque ab&longs;ol&shy;<lb/>uerunt tanto &longs;pectantium applau&longs;u, vt cum Fontana perfecto opere <lb/>domum reductus e&longs;t, diceres Camillum vel Fabium magnum in ca&shy;<lb/>pitolium triumphantem duci. </s> <s>Pontificis cura &amp; magnificentia, Dominici Fontan&aelig; ope&shy;<lb/>ra &amp; indu&longs;tria, &amp;<emph.end type="italics"/> <foreign lang="greek"><gap/> mhxanikw_n</foreign> <emph type="italics"/>auxilia <expan abbr="perfecer&umacr;t">perfecerunt</expan>, atque ab&longs;ol&shy;<lb/>uerunt tanto &longs;pectantium applau&longs;u, vt cum Fontana perfecto opere <lb/>domum reductus e&longs;t, diceres Camillum vel Fabium magnum in ca&shy;<lb/>pitolium triumphantem duci. </s>
  
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 <s>&AElig;nea &longs;erpentis Mo&longs;es &longs;imulachra &longs;acerdos <lb/>Extulit, &aelig;grotis vt medicina foret</s></p><p type="main"> <s>&AElig;nea &longs;erpentis Mo&longs;es &longs;imulachra &longs;acerdos <lb/>Extulit, &aelig;grotis vt medicina foret</s></p><p type="main">
  
 <s>Nunc alter Mo&longs;es obeli&longs;ci in vertice Sixtus <lb/>Erigit &aelig;grotis &aelig;rea &longs;igna Crucis</s></p><p type="main"> <s>Nunc alter Mo&longs;es obeli&longs;ci in vertice Sixtus <lb/>Erigit &aelig;grotis &aelig;rea &longs;igna Crucis<!-- KEEP S--></s></p><p type="main">
  
 <s>Vos &ocirc; Romani &longs;u&longs;tollite ad &aelig;thera vultus, <lb/>A Cruce nam vobis ve&longs;tra petenda &longs;alus.</s></p><p type="main"> <s>Vos &ocirc; Romani &longs;u&longs;tollite ad &aelig;thera vultus, <lb/>A Cruce nam vobis ve&longs;tra petenda &longs;alus.</s></p><p type="main">
  
 <s><emph type="italics"/>Gulielmus Blancus Albien&longs;i. </s> <s><emph type="italics"/>Gulielmus Blancus Albien&longs;i. </s>
  
 <s>I. C.<emph.end type="italics"/></s></p><pb pagenum="143"/><figure/><p type="caption"> <s>I. C.<emph.end type="italics"/><!-- KEEP S--></s></p><pb pagenum="143"/><figure/><p type="caption">
  
  <s>Sancti&longs;&longs;im&aelig; Cruci &longs;acra&shy;<lb/>uit Sixtus V. Pont. <!-- REMOVE S-->Max. <lb/><!-- REMOVE S-->&egrave; priore &longs;ede auul&longs;um &amp; <lb/>C&aelig;&longs;aribus Aug. <!-- REMOVE S-->&amp; Tib. <lb/><!-- REMOVE S-->11.ablatum.</s>
  
  
 <s>Sancti&longs;&longs;im&aelig; Cruci &longs;acra&shy;<lb/>uit Sixtus V. Pont. </s> 
  
 <s>Max. <lb/></s> 
  
 <s>&egrave; priore &longs;ede auul&longs;um &amp; <lb/>C&aelig;&longs;aribus Aug. </s> 
  
 <s>&amp; Tib. <lb/></s> 
  
 <s>11.ablatum.</s></p><p type="caption"> 
  </p><p type="caption">
  
 <s><emph type="italics"/>Faciata &agrave; leuante.<emph.end type="italics"/></s></p><p type="caption"> <s><emph type="italics"/>Faciata &agrave; leuante.<emph.end type="italics"/></s></p><p type="caption">
  
 <s>Ecce Crux Domini <lb/>fugite partes aduer&longs;&aelig; <lb/>vincit leo de Tribu <lb/>Iuda.</s></p><p type="caption"> <s>Ecce Crux Domini <lb/>fugite partes aduer&longs;&aelig; <lb/>vincit leo de Tribu <lb/>Iuda.<!-- KEEP S--></s></p><p type="caption">
  
  <s><emph type="italics"/>Faciata &agrave; Tramontana.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="caption">
  
  <s>Sixtus V. Pontif. <!-- REMOVE S-->Max. <!-- REMOVE S-->Cruci <lb/>inuict&aelig; obeli&longs;cum vaticanum <lb/>ab impura &longs;uper&longs;titione expia&shy;<lb/>tum Iu&longs;tius &amp; Felicius con&longs;e&shy;<lb/>crauit Ann. <!-- REMOVE S-->M. D. LXXXVI. <lb/>Pont. <!-- REMOVE S-->II.<!-- KEEP S--></s>
  
  
 <s><emph type="italics"/>Faciata &agrave; Tramontana.<emph.end type="italics"/></s></p><p type="caption"> 
  
 <s>Sixtus V. Pontif. </s> 
  
 <s>Max. </s> 
  
 <s>Cruci <lb/>inuict&aelig; obeli&longs;cum vaticanum <lb/>ab impura &longs;uper&longs;titione expia&shy;<lb/>tum Iu&longs;tius &amp; Felicius con&longs;e&shy;<lb/>crauit Ann. </s> 
  
 <s>M. D. LXXXVI. <lb/>Pont. </s> 
  
 <s>II.</s></p><p type="caption"> </p><p type="caption">
  
 <s>Diuo C&aelig;&longs;. </s> <s>Diuo C&aelig;&longs;. <!-- REMOVE S-->Diui <lb/>Iulij F. <!-- KEEP S--></s>
  
 <s>Diui <lb/>Iulij F. </s> 
  
 <s>Augu&longs;to Ti. <lb/></s> 
  
 <s>C&aelig;&longs;. </s> <s>Augu&longs;to Ti. <lb/><!-- REMOVE S-->C&aelig;&longs;. <!-- REMOVE S-->Diui Augu&longs;t. <lb/><!-- REMOVE S-->F. Augu&longs;t. <!-- REMOVE S-->&longs;acrum.</s>
  
 <s>Diui Augu&longs;t. <lb/></s> 
  
 <s>F. Augu&longs;t. </s> 
  
 <s>&longs;acrum.</s></p><p type="caption"> 
  
  
  
  </p><p type="caption">
  
 <s><emph type="italics"/>Faciata in ver&longs;o pietro.<emph.end type="italics"/></s></p><p type="caption"> <s><emph type="italics"/>Faciata in ver&longs;o pietro.<emph.end type="italics"/></s></p><p type="caption">
  
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 <s><emph type="italics"/>Della faciata &agrave; mez zo giorne.<emph.end type="italics"/></s></p><p type="caption"> <s><emph type="italics"/>Della faciata &agrave; mez zo giorne.<emph.end type="italics"/></s></p><p type="caption">
  
 <s>Sixtus V. Pont. </s> <s>Sixtus V. Pont. <!-- REMOVE S-->Max. <!-- REMOVE S-->obeli <lb/>vaticanum, <lb/>di&longs;. </s>
  
  
  
 <s>Max. </s> 
  
 <s>obeli <lb/>vaticanum, <lb/>di&longs;. </s> 
  
 <s>gentium.</s></p><p type="caption"> <s>gentium.</s></p><p type="caption">
  
 <s>Impio cultu dicatum ad Apo&longs;t <lb/>rum limina opero&longs;o labore <lb/>Tran&longs;tulit.</s></p><p type="caption"> <s>Impio cultu dicatum ad Apo&longs;t <lb/>rum limina opero&longs;o labore <lb/>Tran&longs;tulit.</s></p><p type="caption">
  
 <s>Ann. </s> <s>Ann. <!-- REMOVE S-->M.D. LXXXV. Pont<!-- KEEP S--></s>
  
 <s>M.D. LXXXV. Pont</s></p><pb pagenum="144"/><p type="main"> </p><pb pagenum="144"/><p type="main">
  
 <s><gap/></s></p><p type="main"> <s><gap/></s></p><p type="main">
  
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 <s>Impo&longs;itum igitur non <lb/>mouetur, ni&longs;i motione gra&shy;<lb/>uitatis [propri&aelig;]: commotum vero &amp; ip&longs;a &amp; motione <lb/>percutientis.</s></p><p type="head"> <s>Impo&longs;itum igitur non <lb/>mouetur, ni&longs;i motione gra&shy;<lb/>uitatis [propri&aelig;]: commotum vero &amp; ip&longs;a &amp; motione <lb/>percutientis.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr&longs;i quis.] <emph type="italics"/>Problema de &longs;ecuri, qu&aelig;&longs;ecat dum percutit, non <lb/>autem dum &longs;impliciter incumbit, duobus modis &longs;oluitur. </s> <s>Cvr&longs;i quis.] <emph type="italics"/>Problema de &longs;ecuri, qu&aelig;&longs;ecat dum percutit, non <lb/>autem dum &longs;impliciter incumbit, duobus modis &longs;oluitur. </s>
  
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 <s>quia <lb/>ex duobus vectibus con&longs;ti&shy;<lb/>tutus e&longs;t contrario modo <lb/>collocatis.</s></p><p type="head"> <s>quia <lb/>ex duobus vectibus con&longs;ti&shy;<lb/>tutus e&longs;t contrario modo <lb/>collocatis.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Pr&aelig;terea &longs;ecuris.] <emph type="italics"/>Altera e&longs;t problematis propo&longs;iti &longs;olutio <lb/>&longs;umpta &egrave; cunei forma, qu&aelig; in &longs;ecuri propter aciem acutam, &amp; &longs;u&shy;<lb/>perioris partis latitudinem con&longs;picua e&longs;t. </s> <s>Pr&aelig;terea &longs;ecuris.] <emph type="italics"/>Altera e&longs;t problematis propo&longs;iti &longs;olutio <lb/>&longs;umpta &egrave; cunei forma, qu&aelig; in &longs;ecuri propter aciem acutam, &amp; &longs;u&shy;<lb/>perioris partis latitudinem con&longs;picua e&longs;t. </s>
  
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 <s><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s></p><p type="margin"> <s><margin.target id="marg34"/>Lib. 17. de <lb/>&longs;ubt.</s></p><p type="margin">
  
 <s><margin.target id="marg35"/>Exerc. </s> <s><margin.target id="marg35"/>Exerc. <!-- REMOVE S-->331.</s>
  
 <s>331.</s></p><p type="main"> </p><p type="main">
  
 <s><gap/></s></p><p type="main"> <s><gap/></s></p><p type="main">
  
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 <s>Vt au&shy;<lb/>tem vna libra mult&aelig; libr&aelig; <lb/>&longs;int in tali libra, mult&aelig; an&longs;&ecedil; <lb/>adiect&aelig; &longs;unt, &egrave; quibus vna&shy;<lb/>qu&aelig;que ad eas partes, vbi <lb/>e&longs;t &aelig;quipondium, dimi&shy;<lb/>dium e&longs;t &longs;tater&aelig;.</s></p><p type="head"> <s>Vt au&shy;<lb/>tem vna libra mult&aelig; libr&aelig; <lb/>&longs;int in tali libra, mult&aelig; an&longs;&ecedil; <lb/>adiect&aelig; &longs;unt, &egrave; quibus vna&shy;<lb/>qu&aelig;que ad eas partes, vbi <lb/>e&longs;t &aelig;quipondium, dimi&shy;<lb/>dium e&longs;t &longs;tater&aelig;.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>De &longs;tateris.] <foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>apud Gr&aelig;cos multa &longs;ignificat vt in&shy;<lb/>ternodium in digitis, ordinem &amp; agmem militare longius <lb/>quam latius, ligna teretia, quibus naues in mare deuoluuntur: &longs;ed h&icirc;c<emph.end type="italics"/><pb pagenum="147"/><emph type="italics"/>&longs;ignificat libr&aelig; genus, quod trutina, ab al&yuml;s &longs;tatera appellatur. </s> <s>De &longs;tateris.] <foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>apud Gr&aelig;cos multa &longs;ignificat vt in&shy;<lb/>ternodium in digitis, ordinem &amp; agmem militare longius <lb/>quam latius, ligna teretia, quibus naues in mare deuoluuntur: &longs;ed h&icirc;c<emph.end type="italics"/><pb pagenum="147"/><emph type="italics"/>&longs;ignificat libr&aelig; genus, quod trutina, ab al&yuml;s &longs;tatera appellatur. </s>
  
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 <s>Et talis exi&longs;tens mult&aelig; &longs;unt <lb/>libr&aelig;, &amp; quidem tot, quot <lb/>&longs;unt an&longs;&aelig;.</s></p><p type="head"> <s>Et talis exi&longs;tens mult&aelig; &longs;unt <lb/>libr&aelig;, &amp; quidem tot, quot <lb/>&longs;unt an&longs;&aelig;.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Et &aelig;quipondium.] <emph type="italics"/>Hic textus interiectus quidem e&longs;&longs;e vide&shy;<lb/>tur, non ita tamen inutilis, vt totus re&yuml;ciendus &longs;it, quod aliquis <lb/>interpres fecit. </s> <s>Et &aelig;quipondium.] <emph type="italics"/>Hic textus interiectus quidem e&longs;&longs;e vide&shy;<lb/>tur, non ita tamen inutilis, vt totus re&yuml;ciendus &longs;it, quod aliquis <lb/>interpres fecit. </s>
  
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 <s>H&icirc;c autem <lb/>&longs;acoma facit &amp; ponderat <lb/>ad &aelig;quipondium pondus <lb/>&longs;tater&aelig;.</s></p><p type="head"> <s>H&icirc;c autem <lb/>&longs;acoma facit &amp; ponderat <lb/>ad &aelig;quipondium pondus <lb/>&longs;tater&aelig;.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Omnino quidem.] <emph type="italics"/>Repetitio e&longs;t a&longs;&longs;umptionum pr&aelig;ceden&shy;<lb/>tium &longs;yllogi&longs;morum &longs;cilicet,<emph.end type="italics"/></s></p><p type="main"> <s>Omnino quidem.] <emph type="italics"/>Repetitio e&longs;t a&longs;&longs;umptionum pr&aelig;ceden&shy;<lb/>tium &longs;yllogi&longs;morum &longs;cilicet,<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Vide&shy;<lb/>tur tamen Ari&longs;toteles &amp; appo&longs;it&egrave; volui&longs;&longs;e &longs;ignificare &aelig;quipondium <lb/>e&longs;&longs;e in &longs;tatera, vim mouentem, &amp; vnum actu cum &longs;it, quia tamen <lb/>per varias not as di&longs;currere pote&longs;t in &longs;tatera, pr&aelig;&longs;tare ad diuer&longs;a pon&shy;<lb/>dera pendenda, quod in altera libr&aelig; lance diuer&longs;a &longs;acomata. </s> <s>Vide&shy;<lb/>tur tamen Ari&longs;toteles &amp; appo&longs;it&egrave; volui&longs;&longs;e &longs;ignificare &aelig;quipondium <lb/>e&longs;&longs;e in &longs;tatera, vim mouentem, &amp; vnum actu cum &longs;it, quia tamen <lb/>per varias not as di&longs;currere pote&longs;t in &longs;tatera, pr&aelig;&longs;tare ad diuer&longs;a pon&shy;<lb/>dera pendenda, quod in altera libr&aelig; lance diuer&longs;a &longs;acomata. </s>
  
 <s>E&longs;t enim<emph.end type="italics"/><pb pagenum="151"/><foreign lang="greek">sh/xw ma,</foreign> <emph type="italics"/>vt annotauit Bud&aelig;us in Pandect. </s> <s>E&longs;t enim<emph.end type="italics"/><pb pagenum="151"/><foreign lang="greek">sh/xw ma,</foreign> <emph type="italics"/>vt annotauit Bud&aelig;us in Pandect. <!-- REMOVE S-->quod apponitur in libra <lb/>ad &aelig;quilibrium faciendum. </s>
  
  
 <s>quod apponitur in libra <lb/>ad &aelig;quilibrium faciendum. </s> 
  
 <s>Vnde &amp; apud Vitruuium legimus re-<emph.end type="italics"/><lb/><arrow.to.target n="marg36"/><lb/><emph type="italics"/>demptorem ad tempus opus manufactum &longs;ubtiliter regi approba&shy;<lb/>ui&longs;&longs;e, &amp; ad &longs;acoma pondus coron&aelig; vi&longs;um e&longs;&longs;e pr&aelig;&longs;titi&longs;&longs;e. </s> <s>Vnde &amp; apud Vitruuium legimus re-<emph.end type="italics"/><lb/><arrow.to.target n="marg36"/><lb/><emph type="italics"/>demptorem ad tempus opus manufactum &longs;ubtiliter regi approba&shy;<lb/>ui&longs;&longs;e, &amp; ad &longs;acoma pondus coron&aelig; vi&longs;um e&longs;&longs;e pr&aelig;&longs;titi&longs;&longs;e. </s>
  
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 6. tractatus de lib.  6. tractatus de lib.
  
 in Mech. </s> in Mech. <!-- REMOVE S-->quod tale e&longs;t. </s>
  
  
 <s>quod tale e&longs;t. </s> 
  
 <s>Ma&shy;<lb/>nife&longs;tum e&longs;t qu&ograve; pondus &agrave; centro libr&aelig; magis di&longs;tat, e&ograve; grauius e&longs;&longs;e, <lb/>&amp; per con&longs;equens velocius moueri. </s> <s>Ma&shy;<lb/>nife&longs;tum e&longs;t qu&ograve; pondus &agrave; centro libr&aelig; magis di&longs;tat, e&ograve; grauius e&longs;&longs;e, <lb/>&amp; per con&longs;equens velocius moueri. </s>
  
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 <s><margin.target id="marg36"/>Cap.  <s><margin.target id="marg36"/>Cap.
  
  
 3. lib.</s></p><p type="margin"> 3. lib.<!-- REMOVE S--><margin.target id="marg37"/>65. c. <!-- REMOVE S-->Arich<!-- KEEP S--></s></p><p type="main">
  
 <s><margin.target id="marg37"/>65. c. </s> 
  
 <s>Arich</s></p><p type="main"> 
  
 <s><emph type="italics"/>Et quidem &longs;tater&aelig; ratio demon&longs;trari pote&longs;t. </s> <s><emph type="italics"/>Et quidem &longs;tater&aelig; ratio demon&longs;trari pote&longs;t. </s>
  
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 <s><emph type="italics"/>Dico grauitatem ponderis D ad grauitatem ponderis G i<gap/><lb/>vt C F ad C B.<emph.end type="italics"/></s></p><pb pagenum="152"/><p type="head"> <s><emph type="italics"/>Dico grauitatem ponderis D ad grauitatem ponderis G i<gap/><lb/>vt C F ad C B.<emph.end type="italics"/></s></p><pb pagenum="152"/><p type="head">
  
 <s>Demon&longs;t.</s></p><p type="main"> <s>Demon&longs;t.<!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Quia grauitas ponderis D e&longs;t &aelig;qualis grauitati ponderis E ex F <lb/>dependentis, &amp; grauitas ponderis G e&longs;t &aelig;qualis grauitati ponderis <lb/>E ex B, erit grauitas ponderis D ad grauitatem E ex F: vt gra&shy;<lb/>uitas ponderis G ad grauitatem ponderis E ex B, &amp; permutatim <lb/>prop.  <s><emph type="italics"/>Quia grauitas ponderis D e&longs;t &aelig;qualis grauitati ponderis E ex F <lb/>dependentis, &amp; grauitas ponderis G e&longs;t &aelig;qualis grauitati ponderis <lb/>E ex B, erit grauitas ponderis D ad grauitatem E ex F: vt gra&shy;<lb/>uitas ponderis G ad grauitatem ponderis E ex B, &amp; permutatim <lb/>prop.
  
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 <s>Grauitas autem pon&shy;<lb/>deris E ex F dependentis ad grauitatem ponderis E ex B e&longs;t: vt <lb/>C F ad C B, vt demon&longs;trat V baldus prop.  <s>Grauitas autem pon&shy;<lb/>deris E ex F dependentis ad grauitatem ponderis E ex B e&longs;t: vt <lb/>C F ad C B, vt demon&longs;trat V baldus prop.
  
 6. tract. </s> 6. tract. <!-- REMOVE S-->delib.
  
 <s>delib.  
  
 vt igitur <lb/>grauitas ponderis D ad pondus G: ita e&longs;t C F ad C B. </s> vt igitur <lb/>grauitas ponderis D ad pondus G: ita e&longs;t C F ad C B. </s>
  
  
  
 <s>Si ergo <lb/>pars &longs;capi C B diuidatur in partes &aelig;quales &longs;olo pondere E, &amp; pro&shy;<lb/>pius &amp; longius &agrave; puncto C po&longs;ito, ponderum grauitates ex puncto <lb/>H appen&longs;&aelig; not&aelig; erunt. </s> <s>Si ergo <lb/>pars &longs;capi C B diuidatur in partes &aelig;quales &longs;olo pondere E, &amp; pro&shy;<lb/>pius &amp; longius &agrave; puncto C po&longs;ito, ponderum grauitates ex puncto <lb/>H appen&longs;&aelig; not&aelig; erunt. </s>
  
 <s>Exempli gratia &longs;it di&longs;tantia C B tripla ad <lb/>C F, erit pondus G triplum ponder is D. quod demon&longs;trare oportebat.<emph.end type="italics"/></s></p><p type="main"> <s>Exempli gratia &longs;it di&longs;tantia C B tripla ad <lb/>C F, erit pondus G triplum ponder is D. quod demon&longs;trare oportebat.<emph.end type="italics"/></s></p><p type="main">
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 <s>Vtroque igitur extremo <foreign lang="greek">b <lb/>&amp; z</foreign> &longs;imul capiens dimouet: <lb/>quando vero emotus fuerit, manu facilius: quam in&longs;tru&shy;<lb/>mento eximetur.</s></p><p type="head"> <s>Vtroque igitur extremo <foreign lang="greek">b <lb/>&amp; z</foreign> &longs;imul capiens dimouet: <lb/>quando vero emotus fuerit, manu facilius: quam in&longs;tru&shy;<lb/>mento eximetur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>De dentiduco.] <foreign lang="greek">o)donta/<gap/>an h)\ o)donta/gw<gap/>n</foreign> <emph type="italics"/>vertit C&aelig;lius <lb/>Aurelianus cap.  <s>De dentiduco.] <foreign lang="greek">o)donta/<gap/>an h)\ o)donta/gw<gap/>n</foreign> <emph type="italics"/>vertit C&aelig;lius <lb/>Aurelianus cap.
  
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 <s>Pr&aelig;terea duro &amp; graui <expan abbr="c&otilde;-primens">con&shy;<lb/>primens</expan> velocius fregetit: <lb/>quam ligneo &amp; leui in&longs;tru&shy;<lb/>mento. </s> <s>Pr&aelig;terea duro &amp; graui <expan abbr="c&otilde;-primens">con&shy;<lb/>primens</expan> velocius fregetit: <lb/>quam ligneo &amp; leui in&longs;tru&shy;<lb/>mento. </s>
  
 <s>An quia &longs;ic vtrin&shy;<lb/>que &agrave; duobus vectibus nux <lb/><expan abbr="c&otilde;primitur">comprimitur</expan>, vecte vero fa&shy;<lb/>cile pondera diuelluntur, <lb/>in&longs;trumencum enim duo&shy;<lb/>bus con&longs;tat vectibus, Idem <lb/>hypomochlium <expan abbr="hab&etilde;tibus">habentibus</expan> <lb/>contactum vbi e&longs;t A. </s> <s>An quia &longs;ic vtrin&shy;<lb/>que &agrave; duobus vectibus nux <lb/><expan abbr="c&otilde;primitur">comprimitur</expan>, vecte vero fa&shy;<lb/>cile pondera diuelluntur, <lb/>in&longs;trumencum enim duo&shy;<lb/>bus con&longs;tat vectibus, Idem <lb/>hypomochlium <expan abbr="hab&etilde;tibus">habentibus</expan> <lb/>contactum vbi e&longs;t A. <!-- KEEP S--></s>
  
 <s>Vt <lb/>igitur &longs;i line&aelig; E D, F C <lb/>diduct&aelig; e&longs;&longs;ent extremis C, <lb/>D motis, facile ab exigua <lb/>vi coadducerentur. </s> <s>Vt <lb/>igitur &longs;i line&aelig; E D, F C <lb/>diduct&aelig; e&longs;&longs;ent extremis C, <lb/>D motis, facile ab exigua <lb/>vi coadducerentur. </s>
  
 <s>Quod <lb/>igitur ex ictu pondus feci&longs;&shy;<lb/>&longs;et, hoc valentius E D &amp; <lb/>F C vectes <expan abbr="c&utilde;">cum</expan> &longs;int, efficiunt. <lb/></s> <s>Quod <lb/>igitur ex ictu pondus feci&longs;&shy;<lb/>&longs;et, hoc valentius E D &amp; <lb/>F C vectes <expan abbr="c&utilde;">cum</expan> &longs;int, efficiunt. <lb/></s>
  
 <s>Elatione enim in <expan abbr="aduers&utilde;">aduersum</expan> <lb/>tollunt, &amp; comprimentes <lb/>frangunt, quod e&longs;t vbi K. <lb/></s> <s>Elatione enim in <expan abbr="aduers&utilde;">aduersum</expan> <lb/>tollunt, &amp; comprimentes <lb/>frangunt, quod e&longs;t vbi K. <lb/><!-- KEEP S--></s>
  
 <s>Ob id quant&ograve; ip&longs;i K fuerit <lb/>propior commi&longs;&longs;ura A tan&shy;<lb/>t&ograve; citius conterit. </s> <s>Ob id quant&ograve; ip&longs;i K fuerit <lb/>propior commi&longs;&longs;ura A tan&shy;<lb/>t&ograve; citius conterit. </s>
  
 <s>Quant&ograve; <pb pagenum="156"/><gap/><lb/>enim plus di&longs;titerit vectis <lb/>ab hypomochlio, tant&ograve; fa&shy;<lb/>cilius ab eadem vi mouet. <lb/></s> <s>Quant&ograve; <pb pagenum="156"/><gap/><lb/>enim plus di&longs;titerit vectis <lb/>ab hypomochlio, tant&ograve; fa&shy;<lb/>cilius ab eadem vi mouet. <lb/></s>
  
 <s>E&longs;t igitur A <expan abbr="hypomochli&utilde;">hypomochlium</expan>, <lb/>&amp; E A D vectis, vt &amp; F A <lb/>C. </s> <s>E&longs;t igitur A <expan abbr="hypomochli&utilde;">hypomochlium</expan>, <lb/>&amp; E A D vectis, vt &amp; F A <lb/>C. <!-- KEEP S--></s>
  
 <s>Quant&ograve; igitur ip&longs;um K <lb/>propius fuerit angulo A, <lb/>tant&ograve; propius fit commi&longs;&longs;u&shy;<lb/>r&aelig; A. </s> <s>Quant&ograve; igitur ip&longs;um K <lb/>propius fuerit angulo A, <lb/>tant&ograve; propius fit commi&longs;&longs;u&shy;<lb/>r&aelig; A. <!-- KEEP S--></s>
  
 <s>H&aelig;c ver&ograve; e&longs;t hy po&shy;<lb/>mochlium. </s> <s>H&aelig;c ver&ograve; e&longs;t hy po&shy;<lb/>mochlium. </s>
  
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 <s>Et quia <lb/>eleuatio ex aduer&longs;o e&longs;t, ma&shy;<lb/>gis conteri nece&longs;&longs;e e&longs;t, ma&shy;<lb/>gis ver&ograve; contritum celerius <lb/>frangitur.</s></p><p type="head"> <s>Et quia <lb/>eleuatio ex aduer&longs;o e&longs;t, ma&shy;<lb/>gis conteri nece&longs;&longs;e e&longs;t, ma&shy;<lb/>gis ver&ograve; contritum celerius <lb/>frangitur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>De in&longs;trumentis.] <emph type="italics"/>In&longs;trumentum ad frangendum nuces <lb/>pote&longs;t appellari nucifrangibulum, &amp; hoc non differt &agrave; forcipe <lb/>ni&longs;i quia leuiter in extremis excauatur ad excipiendum nucem fran&shy;<lb/>gendam commodius, Huiu&longs;mo-<emph.end type="italics"/><lb/><figure id="fig58"/><lb/><emph type="italics"/>di e&longs;t F A C E A B.<emph.end type="italics"/></s></p><p type="main"> <s>De in&longs;trumentis.] <emph type="italics"/>In&longs;trumentum ad frangendum nuces <lb/>pote&longs;t appellari nucifrangibulum, &amp; hoc non differt &agrave; forcipe <lb/>ni&longs;i quia leuiter in extremis excauatur ad excipiendum nucem fran&shy;<lb/>gendam commodius, Huiu&longs;mo-<emph.end type="italics"/><lb/><figure id="fig58"/><lb/><emph type="italics"/>di e&longs;t F A C E A B.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Diductis enim B C extremis <lb/>vectium E A B &amp; F A C &agrave; viribus in E &amp; F. <lb/>alteris vectium extremis exi&longs;tentibus, &longs;i ip&longs;a compriman&shy;<lb/>tur etiam B &amp; C comprimentur. </s> <s>Diductis enim B C extremis <lb/>vectium E A B &amp; F A C &agrave; viribus in E &amp; F. <lb/>alteris vectium extremis exi&longs;tentibus, &longs;i ip&longs;a compriman&shy;<lb/>tur etiam B &amp; C comprimentur. </s>
  
 <s>Quare &amp; nux D in&shy;<lb/>terpo&longs;ita, &amp; valide compre&longs;&longs;a frangitur, tant&ograve; celerius: <lb/>quant&ograve; extrema B &amp; C minus di&longs;tabunt ab hypomoch&shy;<lb/>lio A. </s> <s>Quare &amp; nux D in&shy;<lb/>terpo&longs;ita, &amp; valide compre&longs;&longs;a frangitur, tant&ograve; celerius: <lb/>quant&ograve; extrema B &amp; C minus di&longs;tabunt ab hypomoch&shy;<lb/>lio A. <!-- KEEP S--></s>
  
 <s>Sic enim ali&aelig; partes vectium ab ip&longs;o di&longs;tantes <lb/>maiorem rationem habebunt. </s> <s>Sic enim ali&aelig; partes vectium ab ip&longs;o di&longs;tantes <lb/>maiorem rationem habebunt. </s>
  
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 <s>Et &longs;imul <lb/>atque latus pertran&longs;it latus <lb/>etiam ip&longs;um <foreign lang="greek">b,</foreign> ip&longs;um <foreign lang="greek">b g</foreign><lb/>diametrum. </s> <s>Et &longs;imul <lb/>atque latus pertran&longs;it latus <lb/>etiam ip&longs;um <foreign lang="greek">b,</foreign> ip&longs;um <foreign lang="greek">b g</foreign><lb/>diametrum. </s>
  
 <s>Simile igitur <lb/>ip&longs;um <foreign lang="greek">a</foreign> ip&longs;am <foreign lang="greek">a d</foreign> mult&ograve; <lb/><expan abbr="maior&etilde;">maiorem</expan> ip&longs;a <foreign lang="greek">b g</foreign> pertran&longs;it, <lb/>&amp; latus <expan abbr="mot&utilde;">motum</expan> eadem celeri&shy;<lb/>tate <expan abbr="minor&etilde;">minorem</expan> <expan abbr="line&atilde;">lineam</expan> [tran&longs;it.] <lb/>Et latus <foreign lang="greek">b d</foreign> vna lationc <lb/>motum pertran&longs;ijt lineam <lb/>maiorem: quam <foreign lang="greek">b g.</foreign> <expan abbr="qu&atilde;t&ograve;">quant&ograve;</expan> <lb/>enim acutior e&longs;t Rhombus, <lb/>diameter <expan abbr="quid&etilde;">quidem</expan> <foreign lang="greek">b g</foreign> fit mi&shy;<lb/>nor, <foreign lang="greek">a d</foreign> vero maior, <expan abbr="t&utilde;">tum</expan> &amp; la&shy;<lb/>tus <foreign lang="greek">a b</foreign> maius quam <foreign lang="greek">b g.</foreign></s></p><p type="margin"> <s>Simile igitur <lb/>ip&longs;um <foreign lang="greek">a</foreign> ip&longs;am <foreign lang="greek">a d</foreign> mult&ograve; <lb/><expan abbr="maior&etilde;">maiorem</expan> ip&longs;a <foreign lang="greek">b g</foreign> pertran&longs;it, <lb/>&amp; latus <expan abbr="mot&utilde;">motum</expan> eadem celeri&shy;<lb/>tate <expan abbr="minor&etilde;">minorem</expan> <expan abbr="line&atilde;">lineam</expan> [tran&longs;it.] <lb/>Et latus <foreign lang="greek">b d</foreign> vna lationc <lb/>motum pertran&longs;ijt lineam <lb/>maiorem: quam <foreign lang="greek">b g.</foreign> <expan abbr="qu&atilde;t&ograve;">quant&ograve;</expan> <lb/>enim acutior e&longs;t Rhombus, <lb/>diameter <expan abbr="quid&etilde;">quidem</expan> <foreign lang="greek">b g</foreign> fit mi&shy;<lb/>nor, <foreign lang="greek">a d</foreign> vero maior, <expan abbr="t&utilde;">tum</expan> &amp; la&shy;<lb/>tus <foreign lang="greek">a b</foreign> maius quam <foreign lang="greek">b g.</foreign><!-- KEEP S--></s></p><p type="margin">
  
 <s><margin.target id="marg38"/>Quidam le&shy;<lb/>gunt <foreign lang="greek">lo/gw</foreign><lb/>pro <foreign lang="greek">ta/xei.</foreign></s></p><p type="head"> <s><margin.target id="marg38"/>Quidam le&shy;<lb/>gunt <foreign lang="greek">lo/gw</foreign><lb/>pro <foreign lang="greek">ta/xei.</foreign></s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvramborum.] <emph type="italics"/>In hoc capite duo continentur problemata, <lb/><expan abbr="eor&utilde;que">eorunque</expan> &longs;olutiones. </s> <s>Cvramborum.] <emph type="italics"/>In hoc capite duo continentur problemata, <lb/><expan abbr="eor&utilde;que">eorunque</expan> &longs;olutiones. </s>
  
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 <s>32. lib.  <s>32. lib.
  
 1. Eucl. </s> 1. Eucl. <!-- KEEP S--></s>
  
 <s>Rhombum e&longs;&longs;e quadrilaterum &aelig;quilaterum, &amp; mini&shy;<lb/>m&egrave; rectangulum: Et tamen omnes eius angulos &aelig;quales e&longs;&longs;e quatuor <lb/>rectis per coroll. </s> <s>Rhombum e&longs;&longs;e quadrilaterum &aelig;quilaterum, &amp; mini&shy;<lb/>m&egrave; rectangulum: Et tamen omnes eius angulos &aelig;quales e&longs;&longs;e quatuor <lb/>rectis per coroll. </s>
  
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 32. li. </s> 32. li. </s>
  
 <s>1. Eucl. </s> <s>1. Eucl. <!-- KEEP S--></s>
  
 <s><expan abbr="Cumq;">Cumque</expan> oppo&longs;iti in <expan abbr="parallelogr&atilde;mo">parallelogrammo</expan> <lb/>&longs;int &aelig;quales prop. </s> <s><expan abbr="Cumq;">Cumque</expan> oppo&longs;iti in <expan abbr="parallelogr&atilde;mo">parallelogrammo</expan> <lb/>&longs;int &aelig;quales prop. </s>
  
 <s>34. lib. </s> <s>34. lib. <!-- REMOVE S--><expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> duo &longs;unt acuti, reliqui obtu&longs;i, vt &longs;it <lb/><expan abbr="Rh&otilde;bus">Rhombus</expan><emph.end type="italics"/> <foreign lang="greek">a b d g,</foreign> <emph type="italics"/>cuius anguli oppo&longs;iti<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>&longs;int acuti:<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>vero<emph.end type="italics"/><pb pagenum="160"/><emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>obtu&longs;i. </s>
  
  
 <s><expan abbr="eiu&longs;d&etilde;">eiu&longs;dem</expan> duo &longs;unt acuti, reliqui obtu&longs;i, vt &longs;it <lb/><expan abbr="Rh&otilde;bus">Rhombus</expan><emph.end type="italics"/> <foreign lang="greek">a b d g,</foreign> <emph type="italics"/>cuius anguli oppo&longs;iti<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">d</foreign> <emph type="italics"/>&longs;int acuti:<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>vero<emph.end type="italics"/><pb pagenum="160"/><emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">g</foreign> <emph type="italics"/>obtu&longs;i. </s> 
  
 <s>Coneipiamus ergo<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tan-<emph.end type="italics"/><lb/><figure id="fig59"/><lb/><emph type="italics"/>quam formicam ambulantem proprio <lb/>motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b,</foreign> <emph type="italics"/>vt &amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>proprio iti&shy;<lb/>dem motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">a.</foreign> <emph type="italics"/>Tum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">a b</foreign><lb/><emph type="italics"/>latus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">g d,</foreign> <emph type="italics"/>eadem etiam celerita&shy;<lb/>te moueri &longs;eruando paralleli&longs;mum, cum <lb/>ip&longs;o<emph.end type="italics"/> <foreign lang="greek">g d</foreign> <emph type="italics"/>quou&longs;que coniungatur ei. </s> <s>Coneipiamus ergo<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tan-<emph.end type="italics"/><lb/><figure id="fig59"/><lb/><emph type="italics"/>quam formicam ambulantem proprio <lb/>motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">b,</foreign> <emph type="italics"/>vt &amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>proprio iti&shy;<lb/>dem motu ver&longs;us<emph.end type="italics"/> <foreign lang="greek">a.</foreign> <emph type="italics"/>Tum ip&longs;um<emph.end type="italics"/> <foreign lang="greek">a b</foreign><lb/><emph type="italics"/>latus ver&longs;us<emph.end type="italics"/> <foreign lang="greek">g d,</foreign> <emph type="italics"/>eadem etiam celerita&shy;<lb/>te moueri &longs;eruando paralleli&longs;mum, cum <lb/>ip&longs;o<emph.end type="italics"/> <foreign lang="greek">g d</foreign> <emph type="italics"/>quou&longs;que coniungatur ei. </s>
  
 <s>Ad <lb/>huius autem <expan abbr="mot&utilde;">motum</expan> moueri etiam<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ver&shy;<lb/>&longs;us<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us<emph.end type="italics"/> <foreign lang="greek">d.</foreign> <emph type="italics"/>Sicque<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>mouebuntur duobus motibus, vno per &longs;e: <lb/>altero per accidens. </s> <s>Ad <lb/>huius autem <expan abbr="mot&utilde;">motum</expan> moueri etiam<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>ver&shy;<lb/>&longs;us<emph.end type="italics"/> <foreign lang="greek">g,</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign> <emph type="italics"/>ver&longs;us<emph.end type="italics"/> <foreign lang="greek">d.</foreign> <emph type="italics"/>Sicque<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>mouebuntur duobus motibus, vno per &longs;e: <lb/>altero per accidens. </s>
  
 <s>Et po&longs;ito quod mo&shy;<lb/>ueantur in Rhombo. </s> <s>Et po&longs;ito quod mo&shy;<lb/>ueantur in Rhombo. <!-- KEEP S--></s>
  
 <s>Id e&longs;t quod motus <lb/>illi &longs;int in ratione laterum quibus Rhombus continetur. </s> <s>Id e&longs;t quod motus <lb/>illi &longs;int in ratione laterum quibus Rhombus continetur. </s>
  
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 24. lib.  24. lib.
  
 6.<emph.end type="italics"/></s></p><p type="main"> 6.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>&AElig;qualis enim e&longs;t.] <emph type="italics"/>Quia in ratione &aelig;qualitatis motum e&longs;t<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">e</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h.</foreign></s></p><p type="main"> <s>&AElig;qualis enim e&longs;t.] <emph type="italics"/>Quia in ratione &aelig;qualitatis motum e&longs;t<emph.end type="italics"/> <foreign lang="greek">b</foreign><lb/><emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">e</foreign> <emph type="italics"/>&amp;<emph.end type="italics"/> <foreign lang="greek">a b</foreign> <emph type="italics"/>ad<emph.end type="italics"/> <foreign lang="greek">h.</foreign></s></p><p type="main">
  
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 18. lib.  18. lib.
  
 1. <lb/>Sed verum e&longs;t in certo ca&shy;<lb/>&longs;u, eo nimirum (licet h&icirc;c <lb/>non &longs;it expre&longs;&longs;us) in quo <lb/>Rhombi acutus e&longs;&longs;et mi&shy;<lb/>nor: quam dimidius obtu&shy;<lb/>&longs;i, vt angulus A Rhombi <lb/>A B C D &longs;it minor: quam dimidius obtu&longs;i B, id e&longs;t quam A B C. <lb/></s> 1. <lb/>Sed verum e&longs;t in certo ca&shy;<lb/>&longs;u, eo nimirum (licet h&icirc;c <lb/>non &longs;it expre&longs;&longs;us) in quo <lb/>Rhombi acutus e&longs;&longs;et mi&shy;<lb/>nor: quam dimidius obtu&shy;<lb/>&longs;i, vt angulus A Rhombi <lb/>A B C D &longs;it minor: quam dimidius obtu&longs;i B, id e&longs;t quam A B C. <lb/><!-- KEEP S--></s>
  
 <s>Dico latus A C maius e&longs;&longs;e diametro B C per eandem prop.  <s>Dico latus A C maius e&longs;&longs;e diametro B C per eandem prop.
  
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 <s>&AElig;quum e&longs;t igitur, vt lineam maiorem tran&shy;<lb/>&longs;eat.</s></p><pb pagenum="163"/><p type="head"> <s>&AElig;quum e&longs;t igitur, vt lineam maiorem tran&shy;<lb/>&longs;eat.</s></p><pb pagenum="163"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Ab&longs;urdum enim.] <emph type="italics"/>Repetitio e&longs;t eius, quod problematis &longs;ecun&shy;<lb/>di antea iam auxit difficultatem.<emph.end type="italics"/></s></p><p type="main"> <s>Ab&longs;urdum enim.] <emph type="italics"/>Repetitio e&longs;t eius, quod problematis &longs;ecun&shy;<lb/>di antea iam auxit difficultatem.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Sit enim <lb/>circulus maior <expan abbr="quid&etilde;">quidem</expan> <foreign lang="greek">d z g,</foreign><lb/>minor vero <foreign lang="greek">e h b,</foreign> &amp; <expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> <lb/><expan abbr="centr&utilde;">centrum</expan> <foreign lang="greek">a.</foreign> Atque ca quidem <lb/>per quam magnus circulus <lb/>per &longs;e voluitur <foreign lang="greek">z l,</foreign> &longs;it &amp; ea <lb/>per quam per &longs;e minor <foreign lang="greek">h k</foreign><lb/>&aelig;qualis <foreign lang="greek">z l.</foreign> Si vero moueo <lb/><expan abbr="minor&etilde;">minorem</expan>, ip&longs;um <expan abbr="c&etilde;trum">centrum</expan> mo&shy;<lb/>ueo vbi e&longs;t <foreign lang="greek">a.</foreign> Magnus au&shy;<lb/>tem connexus e&longs;to. </s> <s>Sit enim <lb/>circulus maior <expan abbr="quid&etilde;">quidem</expan> <foreign lang="greek">d z g,</foreign><lb/>minor vero <foreign lang="greek">e h b,</foreign> &amp; <expan abbr="vtriu&longs;q;">vtriu&longs;que</expan> <lb/><expan abbr="centr&utilde;">centrum</expan> <foreign lang="greek">a.</foreign> Atque ca quidem <lb/>per quam magnus circulus <lb/>per &longs;e voluitur <foreign lang="greek">z l,</foreign> &longs;it &amp; ea <lb/>per quam per &longs;e minor <foreign lang="greek">h k</foreign><lb/>&aelig;qualis <foreign lang="greek">z l.</foreign> Si vero moueo <lb/><expan abbr="minor&etilde;">minorem</expan>, ip&longs;um <expan abbr="c&etilde;trum">centrum</expan> mo&shy;<lb/>ueo vbi e&longs;t <foreign lang="greek">a.</foreign> Magnus au&shy;<lb/>tem connexus e&longs;to. </s>
  
 <s>Quum <lb/>igitur <foreign lang="greek">a b</foreign> ad rectos fiet li&shy;<lb/>ne&aelig; <foreign lang="greek">h k,</foreign> &longs;imul etiam <foreign lang="greek">a g</foreign><lb/>ad rectos fiet line&aelig; <foreign lang="greek">z l.</foreign></s></p><p type="main"> <s>Quum <lb/>igitur <foreign lang="greek">a b</foreign> ad rectos fiet li&shy;<lb/>ne&aelig; <foreign lang="greek">h k,</foreign> &longs;imul etiam <foreign lang="greek">a g</foreign><lb/>ad rectos fiet line&aelig; <foreign lang="greek">z l.</foreign><!-- KEEP S--></s></p><p type="main">
  
 <s>Quare per &aelig;qualem erit <lb/>tran&longs;latio, nemp&egrave; <foreign lang="greek">h k</foreign> in <lb/>qua e&longs;t <foreign lang="greek">z g.</foreign> Quod &longs;i quarta <lb/>pars per e/qualem voluitur, <pb pagenum="166"/><gap/><lb/>quod totus circulus &aelig;qua&shy;<lb/>lem toti circulo reuolua&shy;<lb/>tur, manife&longs;tum e&longs;t. </s> <s>Quare per &aelig;qualem erit <lb/>tran&longs;latio, nemp&egrave; <foreign lang="greek">h k</foreign> in <lb/>qua e&longs;t <foreign lang="greek">z g.</foreign> Quod &longs;i quarta <lb/>pars per e/qualem voluitur, <pb pagenum="166"/><gap/><lb/>quod totus circulus &aelig;qua&shy;<lb/>lem toti circulo reuolua&shy;<lb/>tur, manife&longs;tum e&longs;t. </s>
  
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 <s>Neque <lb/>minore vllum punctum <lb/>tran&longs;iliente, &amp; maiorem <lb/>minori &aelig;qualem tran&longs;ire, &amp; minorem maiori ab&longs;urdum.</s></p><p type="head"> <s>Neque <lb/>minore vllum punctum <lb/>tran&longs;iliente, &amp; maiorem <lb/>minori &aelig;qualem tran&longs;ire, &amp; minorem maiori ab&longs;urdum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Dvbium e&longs;t.] <emph type="italics"/>Problema quod hoc capite proponitur, omnium <lb/>qu&aelig; ante propo &longs;ita &longs;unt, &amp; po&longs;tea proponentur forta&szlig;&egrave; e&longs;t &longs;ub&shy;<lb/>tili&szlig;imum. </s> <s>Dvbium e&longs;t.] <emph type="italics"/>Problema quod hoc capite proponitur, omnium <lb/>qu&aelig; ante propo &longs;ita &longs;unt, &amp; po&longs;tea proponentur forta&szlig;&egrave; e&longs;t &longs;ub&shy;<lb/>tili&szlig;imum. </s>
  
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 <s><margin.target id="marg39"/>H&aelig;c inter&shy;<lb/>po&longs;ita <expan abbr="vid&etilde;-tur">viden&shy;<lb/>tur</expan>.</s></p><p type="head"> <s><margin.target id="marg39"/>H&aelig;c inter&shy;<lb/>po&longs;ita <expan abbr="vid&etilde;-tur">viden&shy;<lb/>tur</expan>.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Pr&aelig;terea vnica.] <emph type="italics"/>Cum &longs;it o&longs;ten&longs;a problematis veritas rur&longs;us <lb/>o&longs;tendit aliquid admir abile contineri. </s> <s>Pr&aelig;terea vnica.] <emph type="italics"/>Cum &longs;it o&longs;ten&longs;a problematis veritas rur&longs;us <lb/>o&longs;tendit aliquid admir abile contineri. </s>
  
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 <s>Non igitur idem mouet &longs;impliciter: &longs;ed quodammodo.</s></p><p type="head"> <s>Non igitur idem mouet &longs;impliciter: &longs;ed quodammodo.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvod etiam dubit.] <emph type="italics"/>Antea de circulis ad vnum centrum <lb/>connexis <expan abbr="dem&otilde;&longs;tratum">demon&longs;tratum</expan> e&longs;t: perinde etiam in in&aelig;qualibus ad di&shy;<lb/>wer&longs;a puncta connexis &longs;e habere o&longs;tenditur, ni&longs;i <expan abbr="mend&utilde;">mendum</expan> &longs;ub&longs;it aliquod <lb/>in contextu &egrave; quo particulam<emph.end type="italics"/> <foreign lang="greek">ou)k</foreign> <emph type="italics"/>expunximus. </s> <s>Qvod etiam dubit.] <emph type="italics"/>Antea de circulis ad vnum centrum <lb/>connexis <expan abbr="dem&otilde;&longs;tratum">demon&longs;tratum</expan> e&longs;t: perinde etiam in in&aelig;qualibus ad di&shy;<lb/>wer&longs;a puncta connexis &longs;e habere o&longs;tenditur, ni&longs;i <expan abbr="mend&utilde;">mendum</expan> &longs;ub&longs;it aliquod <lb/>in contextu &egrave; quo particulam<emph.end type="italics"/> <foreign lang="greek">ou)k</foreign> <emph type="italics"/>expunximus. </s>
  
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 <s>Sit igitur. </s> <s>Sit igitur. </s>
  
 <s>vt rot&aelig; axis<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tran&longs;eat in F. </s> <s>vt rot&aelig; axis<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>tran&longs;eat in F. <!-- KEEP S--></s>
  
 <s>Et quia<emph.end type="italics"/> <foreign lang="greek">a h</foreign> <emph type="italics"/>&amp; F G<emph.end type="italics"/><lb/><figure id="fig65"/><lb/><emph type="italics"/>&aelig;quales &longs;unt. </s> <s>Et quia<emph.end type="italics"/> <foreign lang="greek">a h</foreign> <emph type="italics"/>&amp; F G<emph.end type="italics"/><lb/><figure id="fig65"/><lb/><emph type="italics"/>&aelig;quales &longs;unt. </s>
  
 <s>Radij enim &longs;unt eiu&longs;dem circuli minoris &amp;<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>G e&longs;t <lb/>&aelig;quidi&longs;tans<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>F. </s> <s>Radij enim &longs;unt eiu&longs;dem circuli minoris &amp;<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>G e&longs;t <lb/>&aelig;quidi&longs;tans<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>F. <!-- KEEP S--></s>
  
 <s>Erit per demon&longs;trata punctum G in linea F H. <lb/></s> <s>Erit per demon&longs;trata punctum G in linea F H. <lb/><!-- KEEP S--></s>
  
 <s>Et ponatur quod punctum fuerit M in maiori circulo, quod tran&longs;la&shy;<lb/>tum &amp; retr&ograve; reuolutum peruenerit ad H, atque<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>M &longs;ecet circulum <lb/>minorem<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>F<emph.end type="italics"/> <foreign lang="greek">e,</foreign> <emph type="italics"/>vt in puncto I. </s> <s>Et ponatur quod punctum fuerit M in maiori circulo, quod tran&longs;la&shy;<lb/>tum &amp; retr&ograve; reuolutum peruenerit ad H, atque<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>M &longs;ecet circulum <lb/>minorem<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>F<emph.end type="italics"/> <foreign lang="greek">e,</foreign> <emph type="italics"/>vt in puncto I. <!-- KEEP S--></s>
  
 <s>Dico quod I e&longs;t punctum G. </s> <s>Dico quod I e&longs;t punctum G. <!-- KEEP S--></s>
  
 <s>Nam <lb/>quia M e&longs;t H, &amp; in linea F H: pr&aelig;terea I e&longs;t in linea<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>M, <lb/>erit etiam in linea F H. </s> <s>Nam <lb/>quia M e&longs;t H, &amp; in linea F H: pr&aelig;terea I e&longs;t in linea<emph.end type="italics"/> <foreign lang="greek">a</foreign> <emph type="italics"/>M, <lb/>erit etiam in linea F H. <!-- KEEP S--></s>
  
 <s>E&longs;t etiam in circulo<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>F<emph.end type="italics"/> <foreign lang="greek">e.</foreign> <emph type="italics"/>Ergo in puncto <lb/>communi vtrique. </s> <s>E&longs;t etiam in circulo<emph.end type="italics"/> <foreign lang="greek">h</foreign> <emph type="italics"/>F<emph.end type="italics"/> <foreign lang="greek">e.</foreign> <emph type="italics"/>Ergo in puncto <lb/>communi vtrique. </s>
  
 <s>Nullum autem e&longs;t pr&aelig;ter G. </s> <s>Nullum autem e&longs;t pr&aelig;ter G. <!-- KEEP S--></s>
  
 <s>Igitur I peruenit<emph.end type="italics"/><pb pagenum="175"/><emph type="italics"/>in G. </s> <s>Igitur I peruenit<emph.end type="italics"/><pb pagenum="175"/><emph type="italics"/>in G. <!-- KEEP S--></s>
  
 <s>Sicque M retroce&szlig;it per angulum M G H. </s> <s>Sicque M retroce&szlig;it per angulum M G H. <!-- KEEP S--></s>
  
 <s>Contr&agrave; I an&shy;<lb/>tece&szlig;it per angulum I G F, qui &longs;unt anguli &aelig;quales prop.  <s>Contr&agrave; I an&shy;<lb/>tece&szlig;it per angulum I G F, qui &longs;unt anguli &aelig;quales prop.
  
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 1. <lb/>Et &longs;ic patet cur retrocedente vno tantum: quantum procedit alter, <lb/>moueantur &aelig;qualiter, id e&longs;t per &aelig;quale &longs;patium puncta peripheria&shy;<lb/>rum in&aelig;qualium ob centri communis &aelig;qualem motum. </s> 1. <lb/>Et &longs;ic patet cur retrocedente vno tantum: quantum procedit alter, <lb/>moueantur &aelig;qualiter, id e&longs;t per &aelig;quale &longs;patium puncta peripheria&shy;<lb/>rum in&aelig;qualium ob centri communis &aelig;qualem motum. </s>
  
 <s>H&aelig;c ex <lb/>Cardan. </s> <s>H&aelig;c ex <lb/>Cardan. <!-- REMOVE S-->prop.
  
 <s>prop.  
  
 196. lib.  196. lib.
  
 5. de proport.<emph.end type="italics"/></s></p><p type="margin"> 5. de proport.<emph.end type="italics"/></s>
  
  </p><p type="margin">
  
 <s><margin.target id="marg40"/>Vide penul <lb/>timum dia <lb/>gramma.</s></p><p type="main"> <s><margin.target id="marg40"/>Vide penul <lb/>timum dia <lb/>gramma.</s></p><p type="main">
  
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 <s>Sic enim lateribus dupli <lb/>efficiuntur, vt longitudine <lb/>quatuor cubitorum, latitu&shy;<lb/>dine ver&ograve; duorum &longs;int.</s></p><p type="head"> <s>Sic enim lateribus dupli <lb/>efficiuntur, vt longitudine <lb/>quatuor cubitorum, latitu&shy;<lb/>dine ver&ograve; duorum &longs;int.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr lectos.] <emph type="italics"/>In hoc capite qu&aelig;runtur duo, quibus apert&egrave; &longs;atis&shy;<lb/>facit philo&longs;ophus, quod ad primas qu&aelig;&longs;tionum rationes attinet. <lb/></s> <s>Cvr lectos.] <emph type="italics"/>In hoc capite qu&aelig;runtur duo, quibus apert&egrave; &longs;atis&shy;<lb/>facit philo&longs;ophus, quod ad primas qu&aelig;&longs;tionum rationes attinet. <lb/></s>
  
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 <s>Nec enim de his agimus, quibus<emph.end type="italics"/></s></p><p type="margin"> <s>Nec enim de his agimus, quibus<emph.end type="italics"/></s></p><p type="margin">
  
 <s><margin.target id="marg41"/>Inprogno&longs;t.</s></p><p type="main"> <s><margin.target id="marg41"/>Inprogno&longs;t.<!-- REMOVE S-->Pinguis aqualiculus extento &longs;e&longs;quipede extat.</s></p><p type="main">
  
 <s>Pinguis aqualiculus extento &longs;e&longs;quipede extat.</s></p><p type="main"> 
  
 <s><emph type="italics"/>Sed de moderatis hominibus, quibus h&aelig;c lecti latitudo conueniens <lb/>erit. </s> <s><emph type="italics"/>Sed de moderatis hominibus, quibus h&aelig;c lecti latitudo conueniens <lb/>erit. </s>
  
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 <s>Pr&aelig;terea <expan abbr="eti&atilde;">etiam</expan> funium <expan abbr="qu&atilde;-titas">quan&shy;<lb/>titas</expan>: &longs;ic minor erit.</s></p><p type="head"> <s>Pr&aelig;terea <expan abbr="eti&atilde;">etiam</expan> funium <expan abbr="qu&atilde;-titas">quan&shy;<lb/>titas</expan>: &longs;ic minor erit.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Non extendunt.] <emph type="italics"/>Po&longs;terior qu&aelig;&longs;tio e&longs;t, cur lectus cuius late&shy;<lb/>ra &longs;unt in ratione dupla pertendatur loris non &longs;ecundum dia-<emph.end type="italics"/><pb pagenum="177"/><emph type="italics"/>metrum: &longs;ed in obliquum proten&longs;is, ad quam tripliciter re&longs;pondet. <lb/></s> <s>Non extendunt.] <emph type="italics"/>Po&longs;terior qu&aelig;&longs;tio e&longs;t, cur lectus cuius late&shy;<lb/>ra &longs;unt in ratione dupla pertendatur loris non &longs;ecundum dia-<emph.end type="italics"/><pb pagenum="177"/><emph type="italics"/>metrum: &longs;ed in obliquum proten&longs;is, ad quam tripliciter re&longs;pondet. <lb/></s>
  
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 <s>Si vero <lb/>&longs;ecundum diametrum <expan abbr="ex-tend&atilde;tur">ex&shy;<lb/>tendantur</expan> funes, vt in lecto <lb/><foreign lang="greek">a b g d</foreign> &longs;ehabent, dimidia <lb/>&longs;unt, non tot: quot latera <lb/>vtrorum que <foreign lang="greek">a z, z h.</foreign> &aelig;qua&shy;<lb/>lia vero foramina in&longs;unt <lb/>quot in <foreign lang="greek">z b, z a,</foreign> du&aelig; vero <lb/>cum &longs;int <foreign lang="greek">a z, b z,</foreign> maiores <lb/>&longs;unt ip&longs;a <foreign lang="greek">a b.</foreign> Itaque funis <lb/>tanto maior: quanto ambo <lb/>latera maiora &longs;unt diame&shy;<lb/>tro.</s></p><p type="head"> <s>Si vero <lb/>&longs;ecundum diametrum <expan abbr="ex-tend&atilde;tur">ex&shy;<lb/>tendantur</expan> funes, vt in lecto <lb/><foreign lang="greek">a b g d</foreign> &longs;ehabent, dimidia <lb/>&longs;unt, non tot: quot latera <lb/>vtrorum que <foreign lang="greek">a z, z h.</foreign> &aelig;qua&shy;<lb/>lia vero foramina in&longs;unt <lb/>quot in <foreign lang="greek">z b, z a,</foreign> du&aelig; vero <lb/>cum &longs;int <foreign lang="greek">a z, b z,</foreign> maiores <lb/>&longs;unt ip&longs;a <foreign lang="greek">a b.</foreign> Itaque funis <lb/>tanto maior: quanto ambo <lb/>latera maiora &longs;unt diame&shy;<lb/>tro.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Sit lectus <foreign lang="greek">a z h i.</foreign>] <emph type="italics"/>In tertia ratione &longs;ecund&aelig; qu&aelig;&longs;tionis expli&shy;<lb/>canda reliquus Ari&longs;totelis contextus totus e&longs;t: &longs;ed adeo mendo&longs;us <lb/>&amp; in verbis, &amp; in diagrammatis, &amp; in diagrammatum characte&shy;<lb/>ribus, vt &longs;i Iuppiter cum &AElig;&longs;culapio mederi, &amp; mendas eluere ve&shy;<lb/>lit, non po&szlig;it tamen: ide&ograve; &longs;atius e&longs;t cum &longs;it nota philo&longs;ophi &longs;enten&shy;<lb/>tia, totum adimere, &amp; alium &longs;upplere. </s> <s>Sit lectus <foreign lang="greek">a z h i.</foreign>] <emph type="italics"/>In tertia ratione &longs;ecund&aelig; qu&aelig;&longs;tionis expli&shy;<lb/>canda reliquus Ari&longs;totelis contextus totus e&longs;t: &longs;ed adeo mendo&longs;us <lb/>&amp; in verbis, &amp; in diagrammatis, &amp; in diagrammatum characte&shy;<lb/>ribus, vt &longs;i Iuppiter cum &AElig;&longs;culapio mederi, &amp; mendas eluere ve&shy;<lb/>lit, non po&szlig;it tamen: ide&ograve; &longs;atius e&longs;t cum &longs;it nota philo&longs;ophi &longs;enten&shy;<lb/>tia, totum adimere, &amp; alium &longs;upplere. </s>
  
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 <s>Sit igitur prima A B C D, cuius la-<emph.end type="italics"/><lb/><figure id="fig66"/><lb/><emph type="italics"/>tus A B duplum &longs;it lateris A C, &amp; quidem illud 4. pe&shy;<lb/>dum, hoc duorum. </s> <s>Sit igitur prima A B C D, cuius la-<emph.end type="italics"/><lb/><figure id="fig66"/><lb/><emph type="italics"/>tus A B duplum &longs;it lateris A C, &amp; quidem illud 4. pe&shy;<lb/>dum, hoc duorum. </s>
  
 <s>In hac lora &longs;ecundum diametrum &longs;int quidem <lb/>&longs;ecundum longitudinem tria K N. </s> <s>In hac lora &longs;ecundum diametrum &longs;int quidem <lb/>&longs;ecundum longitudinem tria K N. <!-- KEEP S--></s>
  
 <s>L O, M P, &amp; &longs;ic inter &longs;e<emph.end type="italics"/><pb pagenum="181"/><emph type="italics"/>&amp; lateri A B &aelig;qualia prop.  <s>L O, M P, &amp; &longs;ic inter &longs;e<emph.end type="italics"/><pb pagenum="181"/><emph type="italics"/>&amp; lateri A B &aelig;qualia prop.
  
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 47. lib.  47. lib.
  
 1.<emph.end type="italics"/></s></p><p type="main"> 1.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Dico ergo quod lorum K N cum G Q, id e&longs;t A C, A B ma&shy;<lb/>ius e&longs;t<emph.end type="italics"/> <foreign lang="greek">a c, c b,</foreign> <emph type="italics"/>&amp; duo pariter accepta duobus pariter acceptis e&longs;&longs;e <lb/>maiora: &longs;icque totum lorum in lecto A B C D maius e&longs;&longs;e toto, <lb/>quod e&longs;t in lecto<emph.end type="italics"/> <foreign lang="greek">a b g d.</foreign></s></p><p type="main"> <s><emph type="italics"/>Dico ergo quod lorum K N cum G Q, id e&longs;t A C, A B ma&shy;<lb/>ius e&longs;t<emph.end type="italics"/> <foreign lang="greek">a c, c b,</foreign> <emph type="italics"/>&amp; duo pariter accepta duobus pariter acceptis e&longs;&longs;e <lb/>maiora: &longs;icque totum lorum in lecto A B C D maius e&longs;&longs;e toto, <lb/>quod e&longs;t in lecto<emph.end type="italics"/> <foreign lang="greek">a b g d.</foreign><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Demon&longs;tratio. </s> <s><emph type="italics"/>Demon&longs;tratio. </s>
  
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 1. lib.  1. lib.
  
 6. &amp; rectangulum &longs;ub<emph.end type="italics"/><lb/><foreign lang="greek">a c, c b</foreign> <emph type="italics"/>duplum <expan abbr="it&etilde;">item</expan> e&longs;t quadrati ex A C. </s> 6. &amp; rectangulum &longs;ub<emph.end type="italics"/><lb/><foreign lang="greek">a c, c b</foreign> <emph type="italics"/>duplum <expan abbr="it&etilde;">item</expan> e&longs;t quadrati ex A C. <!-- KEEP S--></s>
  
 <s>Ip&longs;um enim <expan abbr="c&utilde;">cum</expan> quadratum <lb/>&longs;it. </s> <s>Ip&longs;um enim <expan abbr="c&utilde;">cum</expan> quadratum <lb/>&longs;it. </s>
  
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 <s>Ob id ip&longs;um etiam facilius fertur.</s></p><pb pagenum="184"/><p type="head"> <s>Ob id ip&longs;um etiam facilius fertur.</s></p><pb pagenum="184"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr difficilius.] <emph type="italics"/>Huius capitis problema e&longs;t cur lignum lon&shy;<lb/>gum difficilius ex humero fertur per extremum: quam per me&shy;<lb/>dium. </s> <s>Cvr difficilius.] <emph type="italics"/>Huius capitis problema e&longs;t cur lignum lon&shy;<lb/>gum difficilius ex humero fertur per extremum: quam per me&shy;<lb/>dium. </s>
  
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 <s>Hoc &longs;it <foreign lang="greek">a,</foreign><lb/>extrema <foreign lang="greek">b, g.</foreign> Igitur eleuato <lb/>vel ge&longs;tato qua parte e&longs;t <foreign lang="greek">a</foreign>: <pb pagenum="185"/><gap/><lb/><figure id="fig68"/><lb/><foreign lang="greek">b</foreign> quidem deor&longs;um ver&shy;<lb/>gens attollit <foreign lang="greek">g:g</foreign> vero deor&shy;<lb/>&longs;um repens attollit <foreign lang="greek">b.</foreign> Si&shy;<lb/>mul autem eleuata idem pr&aelig;&longs;tant.</s></p><p type="head"> <s>Hoc &longs;it <foreign lang="greek">a,</foreign><lb/>extrema <foreign lang="greek">b, g.</foreign> Igitur eleuato <lb/>vel ge&longs;tato qua parte e&longs;t <foreign lang="greek">a</foreign>: <pb pagenum="185"/><gap/><lb/><figure id="fig68"/><lb/><foreign lang="greek">b</foreign> quidem deor&longs;um ver&shy;<lb/>gens attollit <foreign lang="greek">g:g</foreign> vero deor&shy;<lb/>&longs;um repens attollit <foreign lang="greek">b.</foreign> Si&shy;<lb/>mul autem eleuata idem pr&aelig;&longs;tant.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cau&longs;a vero.] <emph type="italics"/>Confirmatio e&longs;t a&longs;&longs;umptionis ex &aelig;quis extremo&shy;<lb/>rum ponderibus vici&szlig;im ob id &longs;e &longs;ubleuantibus: &longs;i enim vnius <lb/>propen &longs;io vergit deor&longs;um: alterius re&longs;i&longs;tentia ad motum &longs;ur&longs;um im&shy;<lb/>pediet. </s> <s>Cau&longs;a vero.] <emph type="italics"/>Confirmatio e&longs;t a&longs;&longs;umptionis ex &aelig;quis extremo&shy;<lb/>rum ponderibus vici&szlig;im ob id &longs;e &longs;ubleuantibus: &longs;i enim vnius <lb/>propen &longs;io vergit deor&longs;um: alterius re&longs;i&longs;tentia ad motum &longs;ur&longs;um im&shy;<lb/>pediet. </s>
  
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 <s><expan abbr="Qu&atilde;t&ograve;">Quant&ograve;</expan> igitur fuerit maius <lb/>id, quod ex <expan abbr="c&etilde;tro">centro</expan>, velip &longs;um <lb/><foreign lang="greek">a g,</foreign> tant&ograve; plus magnitudo <lb/>illa transfertur, quod e&longs;t <lb/>prius demon&longs;tratum.</s></p><p type="head"> <s><expan abbr="Qu&atilde;t&ograve;">Quant&ograve;</expan> igitur fuerit maius <lb/>id, quod ex <expan abbr="c&etilde;tro">centro</expan>, velip &longs;um <lb/><foreign lang="greek">a g,</foreign> tant&ograve; plus magnitudo <lb/>illa transfertur, quod e&longs;t <lb/>prius demon&longs;tratum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr &longs;i fuerint.] <emph type="italics"/>Huius capitis problema e&longs;t. </s> <s>Cvr &longs;i fuerint.] <emph type="italics"/>Huius capitis problema e&longs;t. </s>
  
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 15. lib.  15. lib.
  
 5. &amp; <lb/>e&longs;t A B maior ip&longs;o D E, erit dimidium A C maius dimidio D F. <lb/></s> 5. &amp; <lb/>e&longs;t A B maior ip&longs;o D E, erit dimidium A C maius dimidio D F. <lb/><!-- KEEP S--></s>
  
 <s>Et &longs;ic extremum A magis di&longs;tans &agrave; centro C immoto plus mouet, <lb/>vel mouetur pro natura &longs;ua deor&longs;um. </s> <s>Et &longs;ic extremum A magis di&longs;tans &agrave; centro C immoto plus mouet, <lb/>vel mouetur pro natura &longs;ua deor&longs;um. </s>
  
 <s>Item B. </s> <s>Item B. </s>
  
 <s>Ergotum A tum B <lb/>plus impediunt ferentem ex C: quam D &amp; E ex F. </s> <s>Ergotum A tum B <lb/>plus impediunt ferentem ex C: quam D &amp; E ex F. <!-- KEEP S--></s>
  
 <s>Qu&aelig;ri hic <lb/>po&longs;&longs;et cur pondera &longs;ini&longs;tro humero facilius ferantur, quam dextro. <lb/></s> <s>Qu&aelig;ri hic <lb/>po&longs;&longs;et cur pondera &longs;ini&longs;tro humero facilius ferantur, quam dextro. <lb/></s>
  
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 <s><expan abbr="Itaq;">Itaque</expan> hoc modo vtrumque <lb/>factu facilius e&longs;t: quam alterum.</s></p><p type="head"> <s><expan abbr="Itaq;">Itaque</expan> hoc modo vtrumque <lb/>factu facilius e&longs;t: quam alterum.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr in puteis tollenonem.] <foreign lang="greek">Khlo/neion</foreign> <emph type="italics"/>quid &longs;it etiam&longs;i h&icirc;c <lb/>Ari&longs;toteles non explicet, non e&longs;t tamen difficile coniectura a&longs;&shy;<lb/>&longs;equi, e&longs;&longs;e eam machinam ligneam, qua &amp; antiqui v&longs;i&longs;unt, &amp; qui <lb/>adhuc viuunt vtuntur in hauriendis aquis &egrave; puteo ad irrigandos<emph.end type="italics"/><pb pagenum="189"/><emph type="italics"/>hortos, vel ad aliud quod volunt. </s> <s>Cvr in puteis tollenonem.] <foreign lang="greek">Khlo/neion</foreign> <emph type="italics"/>quid &longs;it etiam&longs;i h&icirc;c <lb/>Ari&longs;toteles non explicet, non e&longs;t tamen difficile coniectura a&longs;&shy;<lb/>&longs;equi, e&longs;&longs;e eam machinam ligneam, qua &amp; antiqui v&longs;i&longs;unt, &amp; qui <lb/>adhuc viuunt vtuntur in hauriendis aquis &egrave; puteo ad irrigandos<emph.end type="italics"/><pb pagenum="189"/><emph type="italics"/>hortos, vel ad aliud quod volunt. </s>
  
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 <s>Vnde autem tum h&aelig;c, tum illud pendeat non dicit Ari&longs;tote&shy;<lb/>les, quia ex antecedentibus facile intellectum. </s> <s>Vnde autem tum h&aelig;c, tum illud pendeat non dicit Ari&longs;tote&shy;<lb/>les, quia ex antecedentibus facile intellectum. </s>
  
 <s>Tignus enim tran&longs;&shy;<lb/>uer&longs;us e&longs;t vectis, cuius <expan abbr="fulciment&utilde;">fulcimentum</expan> e&longs;t in axiculo trabis, <expan abbr="atq;">atque</expan> in motu <lb/>immer&longs;ionis pondus <expan abbr="mouend&utilde;">mouendum</expan> e&longs;t in A: mouens vero e&longs;t in B, vel in <lb/>&longs;itula E. </s> <s>Tignus enim tran&longs;&shy;<lb/>uer&longs;us e&longs;t vectis, cuius <expan abbr="fulciment&utilde;">fulcimentum</expan> e&longs;t in axiculo trabis, <expan abbr="atq;">atque</expan> in motu <lb/>immer&longs;ionis pondus <expan abbr="mouend&utilde;">mouendum</expan> e&longs;t in A: mouens vero e&longs;t in B, vel in <lb/>&longs;itula E. <!-- KEEP S--></s>
  
 <s>Qu&ograve; igitur pondus in A erit grauius, e&ograve; difficilius attol&shy;<lb/>letur, &longs;ic natura grauitatis ferente: &amp; &longs;ic maiore vi opus erit: contr&agrave; <lb/>in motu eleuationis, pondus mouendum e&longs;t &longs;itula, mouens e&longs;t in A, <lb/>hic adiutus pondere adiecto natura &longs;ua deor&longs;um vergente, facilius <lb/>tant&ograve; deprimet ip&longs;um A: quant&ograve; grauius erit G. </s> <s>Qu&ograve; igitur pondus in A erit grauius, e&ograve; difficilius attol&shy;<lb/>letur, &longs;ic natura grauitatis ferente: &amp; &longs;ic maiore vi opus erit: contr&agrave; <lb/>in motu eleuationis, pondus mouendum e&longs;t &longs;itula, mouens e&longs;t in A, <lb/>hic adiutus pondere adiecto natura &longs;ua deor&longs;um vergente, facilius <lb/>tant&ograve; deprimet ip&longs;um A: quant&ograve; grauius erit G. <!-- KEEP S--></s>
  
 <s>Et &longs;ic facilius B <lb/>attolletur cum annexa &longs;itula. </s> <s>Et &longs;ic facilius B <lb/>attolletur cum annexa &longs;itula. </s>
  
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 <s>At po&longs;ito ponde&shy;<lb/>re in medio, non alter alteri <lb/>maiori e&longs;t ponderi, nec ma&shy;<lb/>gis mouet: &longs;ed <expan abbr="vterq;">vterque</expan> vtri&shy;<lb/>que &longs;imile pondus adfert.</s></p><p type="head"> <s>At po&longs;ito ponde&shy;<lb/>re in medio, non alter alteri <lb/>maiori e&longs;t ponderi, nec ma&shy;<lb/>gis mouet: &longs;ed <expan abbr="vterq;">vterque</expan> vtri&shy;<lb/>que &longs;imile pondus adfert.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr cum duo.] <emph type="italics"/>Fu&longs;tes teretes nodis carentes ad onera go&longs;tan&shy;<lb/>da apti palang&aelig; &agrave; Nonio &amp; Varrone dicuntur, vel phalang&aelig; <lb/>&agrave; Plinio vnde phalangar&yuml; Baiuli &yuml;s <expan abbr="vt&etilde;tes">vtentes</expan>, qui ex numero tetrapho&shy;<lb/>ri, &amp; hexaphori dicti &longs;unt. </s> <s>Cvr cum duo.] <emph type="italics"/>Fu&longs;tes teretes nodis carentes ad onera go&longs;tan&shy;<lb/>da apti palang&aelig; &agrave; Nonio &amp; Varrone dicuntur, vel phalang&aelig; <lb/>&agrave; Plinio vnde phalangar&yuml; Baiuli &yuml;s <expan abbr="vt&etilde;tes">vtentes</expan>, qui ex numero tetrapho&shy;<lb/>ri, &amp; hexaphori dicti &longs;unt. </s>
  
 <s>Qu&aelig;rit igitur h&icirc;c Ari&longs;toteles. </s> <s>Qu&aelig;rit igitur h&icirc;c Ari&longs;toteles. <!-- KEEP S--></s>
  
 <s>cur &egrave; duo&shy;<lb/>bus pondus aliquod phalanga ferentibus, qu&ograve; ponderi propinquior e&longs;t <lb/>alter, e&ograve; magis remotiori prematur. </s> <s>cur &egrave; duo&shy;<lb/>bus pondus aliquod phalanga ferentibus, qu&ograve; ponderi propinquior e&longs;t <lb/>alter, e&ograve; magis remotiori prematur. </s>
  
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 <s>Erit vna ad alteram vt interualla inter po&shy;<lb/>tentias, &amp; pondus reciproc&egrave;. </s> <s>Erit vna ad alteram vt interualla inter po&shy;<lb/>tentias, &amp; pondus reciproc&egrave;. </s>
  
 <s>Vt &longs;i &longs;it vectis A B, poten&shy;<lb/>ti&aelig; A &amp; B, pondus &longs;u&longs;tentum C E, erit A ad B. vt B C <lb/>ad A C. </s> <s>Vt &longs;i &longs;it vectis A B, poten&shy;<lb/>ti&aelig; A &amp; B, pondus &longs;u&longs;tentum C E, erit A ad B. vt B C <lb/>ad A C. <!-- KEEP S--></s>
  
 <s>Sit igitur vt B C &longs;it minor: quam A C. </s> <s>Sit igitur vt B C &longs;it minor: quam A C. <!-- KEEP S--></s>
  
 <s>Ergo A.<emph.end type="italics"/><pb pagenum="192"/><emph type="italics"/>potentia<emph.end type="italics"/><lb/><figure id="fig74"/><lb/><emph type="italics"/>erit mi&shy;<lb/>nor: <expan abbr="qu&atilde;">quam</expan> <lb/>B, id e&longs;t <lb/>potentia <lb/>minorin <lb/>A &longs;ic di <lb/>&longs;tante &agrave; <lb/>C &longs;ufficiet &longs;u&longs;tinendo ponderi. </s> <s>Ergo A.<emph.end type="italics"/><pb pagenum="192"/><emph type="italics"/>potentia<emph.end type="italics"/><lb/><figure id="fig74"/><lb/><emph type="italics"/>erit mi&shy;<lb/>nor: <expan abbr="qu&atilde;">quam</expan> <lb/>B, id e&longs;t <lb/>potentia <lb/>minorin <lb/>A &longs;ic di <lb/>&longs;tante &agrave; <lb/>C &longs;ufficiet &longs;u&longs;tinendo ponderi. </s>
  
 <s>Po&longs;itis igitur A &amp; B potent&yuml;s <lb/>&aelig;qualibus, A facilius &longs;u&longs;tinebit, &amp; quidem tant&ograve;: quant&ograve; A <gap/>&shy;<lb/>&longs;tabit magis ab C. </s> <s>Po&longs;itis igitur A &amp; B potent&yuml;s <lb/>&aelig;qualibus, A facilius &longs;u&longs;tinebit, &amp; quidem tant&ograve;: quant&ograve; A <gap/>&shy;<lb/>&longs;tabit magis ab C. <!-- KEEP S--></s>
  
 <s>Sit pr&aelig;terea vt C &longs;it in medio vectis A B. <lb/>quia B C erit &aelig;qualis ip&longs;i A C potenti&aelig; &aelig;quales A &amp; B e&longs;&longs;e <lb/>debent, vt &aelig;qu&egrave; pondus idem &longs;u&longs;tineant. </s> <s>Sit pr&aelig;terea vt C &longs;it in medio vectis A B. <lb/>quia B C erit &aelig;qualis ip&longs;i A C potenti&aelig; &aelig;quales A &amp; B e&longs;&longs;e <lb/>debent, vt &aelig;qu&egrave; pondus idem &longs;u&longs;tineant. </s>
  
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 <s>18. lib.  <s>18. lib.
  
 1. Et &longs;ic E plus <lb/>de&longs;cendit re&longs;pectu B: quam re&longs;pectu A. </s> 1. Et &longs;ic E plus <lb/>de&longs;cendit re&longs;pectu B: quam re&longs;pectu A. <!-- KEEP S--></s>
  
 <s>Igitur E plus grauat B: <lb/>quam A &longs;eu ex cau&longs;a, quod magis premat: &longs;eu ex effectu, quod ma&shy;<lb/>gis de&longs;cenderit.<emph.end type="italics"/></s></p><pb pagenum="193"/><p type="main"> <s>Igitur E plus grauat B: <lb/>quam A &longs;eu ex cau&longs;a, quod magis premat: &longs;eu ex effectu, quod ma&shy;<lb/>gis de&longs;cenderit.<emph.end type="italics"/></s></p><pb pagenum="193"/><p type="main">
  
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 <s>Atque habere tum <lb/>caput, tum pedes in eadem <lb/>recta: <foreign lang="greek">g z</foreign> vero cum <foreign lang="greek"><gap/> g</foreign><lb/>angulum <expan abbr="acut&utilde;">acutum</expan> con&longs;tituet</s></p><p type="head"> <s>Atque habere tum <lb/>caput, tum pedes in eadem <lb/>recta: <foreign lang="greek">g z</foreign> vero cum <foreign lang="greek"><gap/> g</foreign><lb/>angulum <expan abbr="acut&utilde;">acutum</expan> con&longs;tituet</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr qui &longs;urgunt.] <emph type="italics"/>Surrectio e&longs;t motio, quia homo &egrave; iacente <lb/>vel &longs;edente fit &longs;tans. </s> <s>Cvr qui &longs;urgunt.] <emph type="italics"/>Surrectio e&longs;t motio, quia homo &egrave; iacente <lb/>vel &longs;edente fit &longs;tans. </s>
  
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 <s>Cur omnes qui &longs;urgunt.] <emph type="italics"/>Qu&aelig;rit h&icirc;c Ari&longs;toteles, cur &longs;ur&shy;<lb/>gens de &longs;e&szlig;ione nece&longs;&longs;ario con&longs;tituat angu&shy;<lb/>lum acutum ex tibia cum femore, vel ex <lb/>thorace, &longs;eu &longs;pina cum femore, vt in &longs;e&longs;-<emph.end type="italics"/><lb/><figure id="fig76"/><lb/><emph type="italics"/>&longs;ione &longs;it thorax A B, femur B C, tibia C <lb/>D, anguli A B C &amp; B C D recti. </s> <s>Cur omnes qui &longs;urgunt.] <emph type="italics"/>Qu&aelig;rit h&icirc;c Ari&longs;toteles, cur &longs;ur&shy;<lb/>gens de &longs;e&szlig;ione nece&longs;&longs;ario con&longs;tituat angu&shy;<lb/>lum acutum ex tibia cum femore, vel ex <lb/>thorace, &longs;eu &longs;pina cum femore, vt in &longs;e&longs;-<emph.end type="italics"/><lb/><figure id="fig76"/><lb/><emph type="italics"/>&longs;ione &longs;it thorax A B, femur B C, tibia C <lb/>D, anguli A B C &amp; B C D recti. </s>
  
 <s>Ex hoc <lb/>&longs;ituad &longs;urgendum innitens nece&longs;&longs;e habet addu&shy;<lb/>cere C D ad C E, vel A B ad B F, vt &egrave; <lb/>rectis A B C, B C D angulis, fiant acuti <lb/>F B C, B C E.<emph.end type="italics"/></s></p><p type="main"> <s>Ex hoc <lb/>&longs;ituad &longs;urgendum innitens nece&longs;&longs;e habet addu&shy;<lb/>cere C D ad C E, vel A B ad B F, vt &egrave; <lb/>rectis A B C, B C D angulis, fiant acuti <lb/>F B C, B C E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>An quia quod &aelig;quale.] <emph type="italics"/>Qu&aelig;&longs;tionem propo&longs;itam &longs;oluit du&shy;<lb/>pliciter. </s> <s>An quia quod &aelig;quale.] <emph type="italics"/>Qu&aelig;&longs;tionem propo&longs;itam &longs;oluit du&shy;<lb/>pliciter. </s>
  
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 <s>10. lib.  <s>10. lib.
  
 1.<emph.end type="italics"/></s></p><p type="main"> 1.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Erg&ograve; angulus rectus e&longs;t cau&longs;a quietis.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Erg&ograve; angulus rectus e&longs;t cau&longs;a quietis.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Porr&ograve; &longs;urrectio &egrave; &longs;edente ad &longs;tandum <lb/>declarata e&longs;t angulis acutis indigere: &longs;urrectionem &egrave; iacente etiam <lb/>indigere clarum e&longs;t. </s> <s>Porr&ograve; &longs;urrectio &egrave; &longs;edente ad &longs;tandum <lb/>declarata e&longs;t angulis acutis indigere: &longs;urrectionem &egrave; iacente etiam <lb/>indigere clarum e&longs;t. </s>
  
 <s>Is enim qui iace<gap/>, vt &longs;urgat, &amp; &longs;tet, quatuor <lb/>acutos efficit, utroque brachio &amp; latere: thorace &amp; cruribus: fe&shy;<lb/>moribus &amp; tibiis, vt ia&shy;<lb/>ceat A B G D. vt &longs;ur-<emph.end type="italics"/><lb/><figure id="fig78"/><lb/><emph type="italics"/>gat A B thorax bra&shy;<lb/>chiorum in acutos con&shy;<lb/>formatorum adminiculo <lb/>adducetur ad E B: &longs;ic&shy;<lb/>que E B G erit acutus <lb/>ex thorace &amp; femoribus, <lb/>&amp; G D tibia adducetur in G F: &longs;icque erit acutus B G F.<emph.end type="italics"/></s></p><p type="main"> <s>Is enim qui iace<gap/>, vt &longs;urgat, &amp; &longs;tet, quatuor <lb/>acutos efficit, utroque brachio &amp; latere: thorace &amp; cruribus: fe&shy;<lb/>moribus &amp; tibiis, vt ia&shy;<lb/>ceat A B G D. vt &longs;ur-<emph.end type="italics"/><lb/><figure id="fig78"/><lb/><emph type="italics"/>gat A B thorax bra&shy;<lb/>chiorum in acutos con&shy;<lb/>formatorum adminiculo <lb/>adducetur ad E B: &longs;ic&shy;<lb/>que E B G erit acutus <lb/>ex thorace &amp; femoribus, <lb/>&amp; G D tibia adducetur in G F: &longs;icque erit acutus B G F.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>C&aelig;terum &longs;e&szlig;io, de qua h&icirc;c Aristoteles, e&longs;t propri&egrave; dicta, &amp; hanc <lb/>Galenus cum &longs;ecuritate e&longs;&longs;e dixit. </s> <s><emph type="italics"/>C&aelig;terum &longs;e&szlig;io, de qua h&icirc;c Aristoteles, e&longs;t propri&egrave; dicta, &amp; hanc <lb/>Galenus cum &longs;ecuritate e&longs;&longs;e dixit. </s>
  
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 <s><emph type="italics"/>Dico quod ex<emph.end type="italics"/><lb/><figure id="fig79"/><lb/><emph type="italics"/>K facilius &longs;ur&shy;<lb/>get: quam ex L: <lb/>quamque ex M. <lb/></s> <s><emph type="italics"/>Dico quod ex<emph.end type="italics"/><lb/><figure id="fig79"/><lb/><emph type="italics"/>K facilius &longs;ur&shy;<lb/>get: quam ex L: <lb/>quamque ex M. <lb/></s>
  
 <s>Ratio e&longs;t, quia <lb/>A B &longs;uper K <lb/>magis e&longs;t parti&shy;<lb/>ceps &longs;tationis: <lb/>quam &longs;uper L. <lb/></s> <s>Ratio e&longs;t, quia <lb/>A B &longs;uper K <lb/>magis e&longs;t parti&shy;<lb/>ceps &longs;tationis: <lb/>quam &longs;uper L. <lb/><!-- KEEP S--></s>
  
 <s>Et &longs;uper L quam <lb/>quam &longs;uper M. <lb/></s> <s>Et &longs;uper L quam <lb/>quam &longs;uper M. <lb/></s>
  
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 <s>hoc ip&longs;um <lb/>facitid, quod in via commotum e&longs;t.</s></p><pb pagenum="200"/><p type="head"> <s>hoc ip&longs;um <lb/>facitid, quod in via commotum e&longs;t.</s></p><pb pagenum="200"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr commotum.] <emph type="italics"/>Commotum h&icirc;c ita capi debet, vt e&ograve;, qu&ograve; <lb/>moueatur, impellatur: non contra, quod ex re&longs;pon&longs;ione colligere <lb/>facil&egrave; erit. </s> <s>Cvr commotum.] <emph type="italics"/>Commotum h&icirc;c ita capi debet, vt e&ograve;, qu&ograve; <lb/>moueatur, impellatur: non contra, quod ex re&longs;pon&longs;ione colligere <lb/>facil&egrave; erit. </s>
  
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 <s>An ab&longs;urdum <lb/>de eo dubitare e&longs;t eum, qui <lb/>principium relinquit.</s></p><p type="head"> <s>An ab&longs;urdum <lb/>de eo dubitare e&longs;t eum, qui <lb/>principium relinquit.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr proiecta.] <emph type="italics"/>Proiecta dicuntur, qu&aelig; manu, funda, arcu, vel <lb/>ali&ograve; in&longs;trumento &longs;ur&longs;um, vel ad latus, vel etiam deor&longs;um vio&shy;<lb/>lenter feruntur. </s> <s>Cvr proiecta.] <emph type="italics"/>Proiecta dicuntur, qu&aelig; manu, funda, arcu, vel <lb/>ali&ograve; in&longs;trumento &longs;ur&longs;um, vel ad latus, vel etiam deor&longs;um vio&shy;<lb/>lenter feruntur. </s>
  
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 <s>in lib.  <s>in lib.
  
 7. Phy&longs;. </s> 7. Phy&longs;. <!-- KEEP S--></s>
  
 <s>H&aelig;c autem tollitur aut&agrave; <lb/>re&longs;i&longs;tentia med&yuml; per quod fertur. </s> <s>H&aelig;c autem tollitur aut&agrave; <lb/>re&longs;i&longs;tentia med&yuml; per quod fertur. </s>
  
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 <s>Et quando <lb/>grauitas eius quod fertur <lb/>deor&longs;um ruit magis: quam <lb/>antror&longs;um impul&longs;oris vis <lb/>po&longs;&longs;it impellere.</s></p><p type="head"> <s>Et quando <lb/>grauitas eius quod fertur <lb/>deor&longs;um ruit magis: quam <lb/>antror&longs;um impul&longs;oris vis <lb/>po&longs;&longs;it impellere.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Qvare quidpiam.] <emph type="italics"/>Cum omne proiectum graue quid &longs;it, ide&oacute;&shy;<lb/>que natura tendens rect&agrave; deor&longs;um. </s> <s>Qvare quidpiam.] <emph type="italics"/>Cum omne proiectum graue quid &longs;it, ide&oacute;&shy;<lb/>que natura tendens rect&agrave; deor&longs;um. </s>
  
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 <s>Alte&shy;<lb/>rum enim nihil mouet: alterum nequaquam mouetur.</s></p><p type="head"> <s>Alte&shy;<lb/>rum enim nihil mouet: alterum nequaquam mouetur.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr neque exigua.] <emph type="italics"/>Exigua &amp; magna vocabula &longs;unt in re&shy;<lb/>latis, &amp; qu&aelig; intelligi, vt ante dictum e&longs;t, non po&longs;&longs;unt ni&longs;i rela&shy;<lb/>tione facta ad aliud, ad quod referuntur. </s> <s>Cvr neque exigua.] <emph type="italics"/>Exigua &amp; magna vocabula &longs;unt in re&shy;<lb/>latis, &amp; qu&aelig; intelligi, vt ante dictum e&longs;t, non po&longs;&longs;unt ni&longs;i rela&shy;<lb/>tione facta ad aliud, ad quod referuntur. </s>
  
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 <s>Etenim <lb/>ip&longs;um in vnoquoque circulorum &aelig;qualiter di&longs;tat.</s></p><p type="head"> <s>Etenim <lb/>ip&longs;um in vnoquoque circulorum &aelig;qualiter di&longs;tat.</s></p><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>Cvr lata in vortice.] <foreign lang="greek">*dino/m<gap/>uon u(/dw<gap/></foreign> <emph type="italics"/>&longs;eu<emph.end type="italics"/> <foreign lang="greek">di/nh</foreign> <emph type="italics"/>Latinis vor&shy;<lb/>texaqu&aelig;, &amp; gurges. </s> <s>Cvr lata in vortice.] <foreign lang="greek">*dino/m<gap/>uon u(/dw<gap/></foreign> <emph type="italics"/>&longs;eu<emph.end type="italics"/> <foreign lang="greek">di/nh</foreign> <emph type="italics"/>Latinis vor&shy;<lb/>texaqu&aelig;, &amp; gurges. </s>
  
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 <s>Qu&aelig;ritigi-<emph.end type="italics"/><lb/><figure id="fig81"/><lb/><emph type="italics"/>tur Aristoteles cur qu&aelig; fe&shy;<lb/>runtur in vortico&longs;a aqua, om&shy;<lb/>nia tandem ad medium deuol&shy;<lb/>uantur. </s> <s>Qu&aelig;ritigi-<emph.end type="italics"/><lb/><figure id="fig81"/><lb/><emph type="italics"/>tur Aristoteles cur qu&aelig; fe&shy;<lb/>runtur in vortico&longs;a aqua, om&shy;<lb/>nia tandem ad medium deuol&shy;<lb/>uantur. </s>
  
 <s>Sit igitur A medium <lb/>aqu&aelig; per circulos B C D, <lb/>E F G, H I K, L M N, <lb/>O P Q volut&aelig;: &longs;it &amp; vt <lb/>nauis R feratur per vorticem <lb/>B C D.<emph.end type="italics"/></s></p><p type="main"> <s>Sit igitur A medium <lb/>aqu&aelig; per circulos B C D, <lb/>E F G, H I K, L M N, <lb/>O P Q volut&aelig;: &longs;it &amp; vt <lb/>nauis R feratur per vorticem <lb/>B C D.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s><emph type="italics"/>Dico quod ad A medium <lb/>deuoluetur.<emph.end type="italics"/></s></p><p type="main"> <s><emph type="italics"/>Dico quod ad A medium <lb/>deuoluetur.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>Quie&longs;cit enim &longs;olum <lb/>centrum, ad quod omnia nece&longs;&longs;e e&longs;t congregari.</s></p><pb pagenum="209"/><p type="head"> <s>Quie&longs;cit enim &longs;olum <lb/>centrum, ad quod omnia nece&longs;&longs;e e&longs;t congregari.</s></p><pb pagenum="209"/><p type="head">
  
 <s>COMMENTARIVS.</s></p><p type="main"> <s>COMMENTARIVS.<!-- KEEP S--></s></p><p type="main">
  
 <s>An quia qu&aelig; quidem.] <emph type="italics"/>Altera e&longs;t eiu&longs;dem<emph.end type="italics"/> <foreign lang="greek">dio<gap/>ismou_</foreign> <emph type="italics"/>pro&shy;<lb/>blematis demon&longs;tratio. </s> <s>An quia qu&aelig; quidem.] <emph type="italics"/>Altera e&longs;t eiu&longs;dem<emph.end type="italics"/> <foreign lang="greek">dio<gap/>ismou_</foreign> <emph type="italics"/>pro&shy;<lb/>blematis demon&longs;tratio. </s>
  
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 <s>His <lb/>ita po&longs;itis demon&longs;tratio problematis Aristotelici e&longs;t facilis &amp; <lb/>breuis.<emph.end type="italics"/></s></p><pb pagenum="210"/><p type="main"> <s>His <lb/>ita po&longs;itis demon&longs;tratio problematis Aristotelici e&longs;t facilis &amp; <lb/>breuis.<emph.end type="italics"/></s></p><pb pagenum="210"/><p type="main">
  
 <s><emph type="italics"/>Sit A inte&shy;<lb/>rius extremum, <lb/><figure id="fig82"/><lb/>&amp; B exterius <lb/>line&aelig; &longs;piralis A <lb/>B plurium reuo&shy;<lb/>lutionum, in ex&shy;<lb/>tremo B &longs;it na&shy;<lb/>uis C. </s> <s><emph type="italics"/>Sit A inte&shy;<lb/>rius extremum, <lb/><figure id="fig82"/><lb/>&amp; B exterius <lb/>line&aelig; &longs;piralis A <lb/>B plurium reuo&shy;<lb/>lutionum, in ex&shy;<lb/>tremo B &longs;it na&shy;<lb/>uis C. <!-- KEEP S--></s>
  
 <s>Dico quod <lb/>C feretur ad A, <lb/>&amp; in&longs;uper quod <lb/>cum erit in A <lb/>&longs;ummergetur in&shy;<lb/>tra aby&longs;&longs;um A <lb/>E.<emph.end type="italics"/></s></p><p type="main"> <s>Dico quod <lb/>C feretur ad A, <lb/>&amp; in&longs;uper quod <lb/>cum erit in A <lb/>&longs;ummergetur in&shy;<lb/>tra aby&longs;&longs;um A <lb/>E.<emph.end type="italics"/><!-- KEEP S--></s></p><p type="main">
  
 <s>Demon&longs;t. <lb/><emph type="italics"/><expan abbr="Innat&atilde;s">Innatans</expan> in vor&shy;<lb/>tico&longs;a aqua fer&shy;<lb/>tur ad motum <lb/>vnd&aelig; impul&longs;&aelig;, <lb/>vel tract&aelig;.<emph.end type="italics"/></s></p><p type="main"> <s>Demon&longs;t. <lb/><emph type="italics"/><expan abbr="Innat&atilde;s">Innatans</expan> in vor&shy;<lb/>tico&longs;a aqua fer&shy;<lb/>tur ad motum <lb/>vnd&aelig; impul&longs;&aelig;, <lb/>vel tract&aelig;.<emph.end type="italics"/></s></p><p type="main">
  
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 <s>quinetiam in &longs;cholis <expan abbr="vulgari&utilde;">vulgarium</expan> illorum philo&longs;ophorum, qui pa&shy;<lb/>rum ab&longs;unt, vt omnin&ograve;<emph.end type="italics"/> <foreign lang="greek">a)gewme/t<gap/>h<gap/>oi</foreign> <emph type="italics"/>non &longs;int, locum eum obtine&shy;<lb/>re po&longs;sit, quem c&aelig;teri qui ab hoc natur&aelig; &amp; artis etiam omnis atque <lb/>indu&longs;tri&aelig; genio libri prodierunt, qu&eacute;mque &yuml;, qui ab illis public&egrave; le&shy;<lb/>guntur &amp; explicantur. </s> <s>quinetiam in &longs;cholis <expan abbr="vulgari&utilde;">vulgarium</expan> illorum philo&longs;ophorum, qui pa&shy;<lb/>rum ab&longs;unt, vt omnin&ograve;<emph.end type="italics"/> <foreign lang="greek">a)gewme/t<gap/>h<gap/>oi</foreign> <emph type="italics"/>non &longs;int, locum eum obtine&shy;<lb/>re po&longs;sit, quem c&aelig;teri qui ab hoc natur&aelig; &amp; artis etiam omnis atque <lb/>indu&longs;tri&aelig; genio libri prodierunt, qu&eacute;mque &yuml;, qui ab illis public&egrave; le&shy;<lb/>guntur &amp; explicantur. </s>
  
 <s>Quod in numinis diuini bonorum omnium <lb/>largitoris gloriam: Henrici IIII. </s> <s>Quod in numinis diuini bonorum omnium <lb/>largitoris gloriam: Henrici IIII. <!-- KEEP S--></s>
  
 <s>Regis nostri augu&longs;ti&longs;simi perpe&shy;<lb/>tuum decus: Ari&longs;totelis libri huius authoris famam atque authori&shy;<lb/>tatem maiorem: Reipub. </s> <s>Regis nostri augu&longs;ti&longs;simi perpe&shy;<lb/>tuum decus: Ari&longs;totelis libri huius authoris famam atque authori&shy;<lb/>tatem maiorem: Reipub. <!-- REMOVE S-->denique no&longs;tr&aelig; literari&aelig; vtilitatem cedat, <lb/>de&longs;idero.<emph.end type="italics"/></s>
  
 <s>denique no&longs;tr&aelig; literari&aelig; vtilitatem cedat, <lb/>de&longs;idero.<emph.end type="italics"/></s></p><p type="head"> </p><p type="head">
  
 <s>FINIS.</s></p><p type="main"> <s>FINIS.<!-- KEEP S--></s></p><p type="main">
  
 <s>C&oelig;lo re&longs;tatiter: C&oelig;lo tentabimusire.</s></p><pb/><p type="head"> <s>C&oelig;lo re&longs;tatiter: C&oelig;lo tentabimusire.</s></p><pb/><p type="head">
  


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