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| <s id="id.0.0.19.05">Oportet enim, quanto illud exce­<lb/>dit, tanto id isto excedi.</s><s>Et per consequens, quanto illud quod est gravi­<lb/>us, velocius ascendit, tanto levius movetur contrarie.</s></p><pb xlink:href="050/01/009.jpg" /><figure id="id.050.01.009.1.jpg" xlink:href="050/01/009/1.jpg"/><pb xlink:href="050/01/010.jpg" /><pb xlink:href="050/01/011.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.19.05">Oportet enim, quanto illud exce­<lb/>dit, tanto id isto excedi.</s><s>Et per consequens, quanto illud quod est gravi­<lb/>us, velocius ascendit, tanto levius movetur contrarie.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/009.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.009.1.jpg" xlink:href="050/01/009/1.jpg"/><pb xlink:href="050/01/010.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/011.jpg" /></chap><chap><p type="main"><s>[commentary not transcribed]</s></p><p type="main"> |
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| <s id="id.0.0.21.02">Secundum patet per quartam suppositi­<lb/>onem quartam, vocatur autem illud situs, quod circulus dicitur, sicut patet per <lb/>prædicta.<figure id="id.050.01.011.1.jpg" xlink:href="050/01/011/1.jpg"/></s></p><pb xlink:href="050/01/012.jpg" /><figure id="id.050.01.012.1.jpg" xlink:href="050/01/012/1.jpg"/><pb xlink:href="050/01/013.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.21.02">Secundum patet per quartam suppositi­<lb/>onem quartam, vocatur autem illud situs, quod circulus dicitur, sicut patet per <lb/>prædicta.<figure id="id.050.01.011.1.jpg" xlink:href="050/01/011/1.jpg"/></s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/012.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.012.1.jpg" xlink:href="050/01/012/1.jpg"/><pb xlink:href="050/01/013.jpg" /></chap><chap><p type="main"> |
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| <s id="id.0.0.23.01">Non debet hic sumi inæ­<lb/>qualitas appendiculorum pon­<lb/>dere, sed longitudine proba­<lb/>tur sic.</s><s>Si fiat motus in una par<lb/>te, ergo pars alia est minus gra­<lb/>vis, per suppositionem secundam, <lb/>sed positum est prius appenso<lb/>rum pondera esse æqualia; ergo.<lb/></s></p><pb xlink:href="050/01/014.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.23.01">Non debet hic sumi inæ­<lb/>qualitas appendiculorum pon­<lb/>dere, sed longitudine proba­<lb/>tur sic.</s><s>Si fiat motus in una par<lb/>te, ergo pars alia est minus gra­<lb/>vis, per suppositionem secundam, <lb/>sed positum est prius appenso<lb/>rum pondera esse æqualia; ergo.<lb/></s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/014.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.25.01">Manifestum est hoc per suppositionem quartam.</s></p><pb xlink:href="050/01/015.jpg" /><figure id="id.050.01.015.1.jpg" xlink:href="050/01/015/1.jpg"/></chap><chap><p type="main"> | <s id="id.0.0.25.01">Manifestum est hoc per suppositionem quartam.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/015.jpg" /><figure id="id.050.01.015.1.jpg" xlink:href="050/01/015/1.jpg"/><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.27.02">Ex parte <lb/>longioris describitur circulus maior, et sic patet per suppositionem tertiam <lb/>quod pondus secundum situm est gravius.</s></p><pb xlink:href="050/01/016.jpg" /><figure id="id.050.01.016.1.jpg" xlink:href="050/01/016/1.jpg"/><figure id="id.050.01.016.2.jpg" xlink:href="050/01/016/2.jpg"/><pb xlink:href="050/01/017.jpg" /><figure id="id.050.01.017.1.jpg" xlink:href="050/01/017/1.jpg"/><pb xlink:href="050/01/018.jpg" /><pb xlink:href="050/01/019.jpg" /><figure id="id.050.01.019.1.jpg" xlink:href="050/01/019/1.jpg"/><figure id="id.050.01.019.2.jpg" xlink:href="050/01/019/2.jpg"/><pb xlink:href="050/01/020.jpg" /><figure id="id.050.01.020.1.jpg" xlink:href="050/01/020/1.jpg"/></chap><chap><p type="main"> | <s id="id.0.0.27.02">Ex parte <lb/>longioris describitur circulus maior, et sic patet per suppositionem tertiam <lb/>quod pondus secundum situm est gravius.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/016.jpg" /><figure id="id.050.01.016.1.jpg" xlink:href="050/01/016/1.jpg"/><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.016.2.jpg" xlink:href="050/01/016/2.jpg"/><pb xlink:href="050/01/017.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.017.1.jpg" xlink:href="050/01/017/1.jpg"/><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/018.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/019.jpg" /><figure id="id.050.01.019.1.jpg" xlink:href="050/01/019/1.jpg"/><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.019.2.jpg" xlink:href="050/01/019/2.jpg"/><pb xlink:href="050/01/020.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.020.1.jpg" xlink:href="050/01/020/1.jpg"/></chap><chap><p type="main"> |
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| <s id="id.0.0.29.03">Est enim semicirculus minor, quem tunc fuit.</s></p><figure id="id.050.01.021.1.jpg" xlink:href="050/01/021/1.jpg"/><pb xlink:href="050/01/022.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.29.03">Est enim semicirculus minor, quem tunc fuit.</s></p><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.021.1.jpg" xlink:href="050/01/021/1.jpg"/><pb xlink:href="050/01/022.jpg" /></chap><chap><p type="main"> |
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| <s id="id.0.0.32.02">Cum enim <lb/>aliquis voluit experiri, an ita esset; posuit in æquilibri pondera æqua<lb/>lia, cuius appendentia erunt filo composita, quæ motum habent a bra­<lb/>chiis alienum, etiam propter perpendiculorum flexus incognitis experimentum<lb/><figure id="id.050.01.022.1.jpg" xlink:href="050/01/022/1.jpg"/>fallax, quare experiens ve­<lb/>ritatis irrisorem, et acce­<lb/>pto cum casu, quod secundum <lb/>æquidistantiam a medio mo­<lb/>tus propter perpendicula, <lb/>ex terminis brachiorum li­<lb/>neæ sic describuntur utrumque <lb/>intelligit, quod prius nega­<lb/>vit, quod est, quia preter mu­<lb/>tationes brachiorum alii non <lb/>erunt flexus, et ex hoc non <lb/>conclusit secundum rectos <lb/>angulos idem congruere, cum <lb/>motus brachiorum simili­<lb/>ter contingit.</s></p><pb xlink:href="050/01/023.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.32.02">Cum enim <lb/>aliquis voluit experiri, an ita esset; posuit in æquilibri pondera æqua<lb/>lia, cuius appendentia erunt filo composita, quæ motum habent a bra­<lb/>chiis alienum, etiam propter perpendiculorum flexus incognitis experimentum<lb/><figure id="id.050.01.022.1.jpg" xlink:href="050/01/022/1.jpg"/>fallax, quare experiens ve­<lb/>ritatis irrisorem, et acce­<lb/>pto cum casu, quod secundum <lb/>æquidistantiam a medio mo­<lb/>tus propter perpendicula, <lb/>ex terminis brachiorum li­<lb/>neæ sic describuntur utrumque <lb/>intelligit, quod prius nega­<lb/>vit, quod est, quia preter mu­<lb/>tationes brachiorum alii non <lb/>erunt flexus, et ex hoc non <lb/>conclusit secundum rectos <lb/>angulos idem congruere, cum <lb/>motus brachiorum simili­<lb/>ter contingit.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/023.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.34.01">Si pondus gravius tantum valet in termino breviori, quantum bra­<lb/>chium libræ longius in suo loco, et similiter pondus minus in breviori, <lb/>tunc dico, sic valebunt secundum situm, quando non essent sic secundum <lb/>naturam, necessario erunt pondera secundum situm æqualia, quia pon­<lb/>dus et brachium hic valet per oppositum totum reliquum, quia propter neu<lb/>trum pondus declinat, sicut patet propositione huius prima.</s></p><figure id="id.050.01.023.1.jpg" xlink:href="050/01/023/1.jpg"/><pb xlink:href="050/01/024.jpg" /><pb xlink:href="050/01/025.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.34.01">Si pondus gravius tantum valet in termino breviori, quantum bra­<lb/>chium libræ longius in suo loco, et similiter pondus minus in breviori, <lb/>tunc dico, sic valebunt secundum situm, quando non essent sic secundum <lb/>naturam, necessario erunt pondera secundum situm æqualia, quia pon­<lb/>dus et brachium hic valet per oppositum totum reliquum, quia propter neu<lb/>trum pondus declinat, sicut patet propositione huius prima.</s></p><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.023.1.jpg" xlink:href="050/01/023/1.jpg"/><pb xlink:href="050/01/024.jpg" /><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/025.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.36.02">probatur sic, Gravitas naturalis est æqualis utro<lb/>bique propositum ut violentum, similiter, quia semicirculi sunt æquales, <lb/>ergo æque gravia secundum situm sunt appensa.</s></p><pb xlink:href="050/01/026.jpg" /><figure id="id.050.01.026.1.jpg" xlink:href="050/01/026/1.jpg"/></chap><chap><p type="main"> | <s id="id.0.0.36.02">probatur sic, Gravitas naturalis est æqualis utro<lb/>bique propositum ut violentum, similiter, quia semicirculi sunt æquales, <lb/>ergo æque gravia secundum situm sunt appensa.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/026.jpg" /><figure id="id.050.01.026.1.jpg" xlink:href="050/01/026/1.jpg"/><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.38.13">Sicut ista probatur geometrice, ita possunt omnes pro­ba<lb/>ri per missæ per proportionem illarum linearum, et angulorum suorum constructorum.<lb/></s></p><figure id="id.050.01.027.1.jpg" xlink:href="050/01/027/1.jpg"/><pb xlink:href="050/01/028.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.38.13">Sicut ista probatur geometrice, ita possunt omnes pro­ba<lb/>ri per missæ per proportionem illarum linearum, et angulorum suorum constructorum.<lb/></s></p><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.027.1.jpg" xlink:href="050/01/027/1.jpg"/><pb xlink:href="050/01/028.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.40.03">Prius enim osten­<lb/>debatur, brachio longiori pondus in situ coæquari, vel correspondere, <lb/>igitur per suppositionem sextam, neque brachium pondus, neque pondus bra­<lb/>chium sequitur motu contrario.</s></p><pb xlink:href="050/01/029.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.40.03">Prius enim osten­<lb/>debatur, brachio longiori pondus in situ coæquari, vel correspondere, <lb/>igitur per suppositionem sextam, neque brachium pondus, neque pondus bra­<lb/>chium sequitur motu contrario.</s></p><p type="main"><s>[commentary not transcribed]</s></p><pb xlink:href="050/01/029.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.42.01">Illa probatio satis patet ex prædictis.</s></p><figure id="id.050.01.029.1.jpg" xlink:href="050/01/029/1.jpg"/><pb xlink:href="050/01/030.jpg" /></chap><chap><p type="main"> | <s id="id.0.0.42.01">Illa probatio satis patet ex prædictis.</s></p><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.029.1.jpg" xlink:href="050/01/029/1.jpg"/><pb xlink:href="050/01/030.jpg" /><p type="main"><s>[commentary not transcribed]</s></p></chap><chap><p type="main"> |
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| <s id="id.0.0.44.01">Probatur sic, Longitudine totius canonii nota, et pondere noto, pone <lb/>pedem circini in centro medii motus, et constitue circulum super mino­<lb/>rem portionem, quæ secabit per diffinitionem circuli æqualem de bra­<lb/>chio longiori, parti autem reliquæ æquatur portio ablata a termino ubi<pb xlink:href="050/01/031.jpg" />pendet pondus, quia ex hac exceditur brachium brachio, unde sequitur<lb/>quæsitum.</s></p><figure id="id.050.01.031.1.jpg" xlink:href="050/01/031/1.jpg"/></chap><chap><p type="main"> | <s id="id.0.0.44.01">Probatur sic, Longitudine totius canonii nota, et pondere noto, pone <lb/>pedem circini in centro medii motus, et constitue circulum super mino­<lb/>rem portionem, quæ secabit per diffinitionem circuli æqualem de bra­<lb/>chio longiori, parti autem reliquæ æquatur portio ablata a termino ubi<pb xlink:href="050/01/031.jpg" />pendet pondus, quia ex hac exceditur brachium brachio, unde sequitur<lb/>quæsitum.</s></p><p type="main"><s>[commentary not transcribed]</s></p><figure id="id.050.01.031.1.jpg" xlink:href="050/01/031/1.jpg"/></chap><chap><p type="main"> |
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