Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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magis detrahi à motu naturali, ac tardiùs moueri, quàm
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M B quæ magis diſtat ab illo. </
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nea A L F; & à puncto L perpendicularis ipſi A B quæ
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ſit L Q, & rurſus ab eodem L ducatur L S paralella ei
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dem A B. </
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<
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id
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">Deinde à puncto S excitetur alia perpendicu
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laris eidem AB.
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ST; & ab F item eidem perpendicu
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laris F X. </
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">His poſitis linea QL erit æqualis lineæ T S, vt
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patet ex 34. primi Euclidis, cum ſint latera oppoſita rectan
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guli T L. </
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<
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">Cumque ſpacium, quod naturali motu tranſcur
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runt puncta M, & B menſuretur ipſis perpendicularibus.
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</
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<
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">QL & T S, vt dictum eſt, motus naturalis per lationem ip
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ſius B vſque ad S æqualis erit motui naturali per lationem
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ipſius M vſque ad L. </
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">At motus præternaturales eorundem
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punctorum M, & B tunc erunt inæquales. </
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<
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">Nam ſpacium
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quod præternaturaliter percurriſſet punctum M eſſet ipſa
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M
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">que</
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& ſpatium, quod præternaturaliter percurriſſet
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punctum B eſſet ipſa B T. </
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">Maior autem eſt M Q, quàm
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ſit B T. </
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<
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">Siquidem ex æqualibus rectis lineis perpendicula
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riter cadentibus à communi diametro ad circumferentias
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totidem circulorum inæqualium, ea, quæ eſt in minori
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circulo maiorem reſecat diametri portionem, vt conſtat
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ex doctrina de Sinibus, & patere poteſt in perpendicularibus
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QL T S, & HI; quæ cum ſine æquales inter duas paralel
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las, inæquales reſecant portiones diametri E G; nempe tan
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to maiorem, quanto in minori circulo, vt eſt QM reſpectu
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T B, & ipſa T B reſpectu H G. </
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<
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">Igitur punctum M quod ſa
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nè propinquius eſt centro, magis mouetur motu præterna
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turali, quàm punctum B, quod remotius eſt ab illo. </
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primo loco erat probandum. </
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<
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">Vlterius verò quod punctum B magis moueatur motu
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ſecundum naturam, quam ipſum punctum M probatur ex
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eo; Nam quo tempore punctum M latum fuerit vſque ad
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L; punctum B eodem tempore perueniet vſque ad F. </
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<
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id
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">Ete
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nim cum ita ſe habere debeat motus naturalis ipſius B ad
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motum præter naturam eiuſdem B quemadmodum ſe ha
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bet motus naturalis ipſius M ad motum præter naturam </
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