Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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23
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niſi ex principijs geométricis, quare ficat de lride multa
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pertractantur in Phyſica, quod ramen non tollit omnimodam
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eius cognitionem ad Perſpectiuam referri, ita quamuis mul
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ta de graui & leui ſumantur ex phyſicis, hoc non obſtat quo
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minus prout artificiosè mobilia ſunt, ex profeſſo & omnino
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ſolum cognoſcantur in hac ſcientia ex principijs mathemati
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cis. </
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<
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id
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">Et ſic, grauia æqualia ex æqualibus diſtantijs æquè pon
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derare,
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vnumq.
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in libra non poſſe aliud vincere, non ſatis
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probatur ex illo principio physico, quod àctio debeat eſſe ab
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inæquali proportione. </
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<
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id
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">Quando quidem inæqualitas diſtan
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tiæ non tollit æqualitatem ponderis, nec proportionem illius
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ad alterum, ſi ſecundum ſe ac phyſicis conſideretur, tollit
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autem ſe mathematicè demonſtratur, maiorem diſtantiam à
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centro, vbi grauia falciantur, grauitatem, vel potiùs effe
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ctum illius,
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actumq.
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ponderandi in ipſis grauibus augere.
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</
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<
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">Item maior velocitas, ac facilitas quam experimur in motu
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circulari earum partium, quæ magis diſſant à centro, non
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probatur à priori, nec demonſtratur ex eo quod maius ſpa
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tium percurrant in æquali tempore, nam hoc eſt idem per
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diuerſa explicare. </
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<
s
id
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N10D13
">Demonſtratur autem per cauſam, & à
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priori, ex illo principio mathematico, quod quanto magis li
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neæ à centro diſceſſerint, magis participant de motu recto
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ac naturali,
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minusq.
">minusque</
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retrahuntur in circumuolutione circull,
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at ſuo lo eo explicabitur ex Ariſtotele qui ſanè in hoc
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abbr
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alijsq.
">alijsque</
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dogmatibus mechanicis non vtitur demonſtrationibus geo
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metricis ad exemplum, vt in logica vel phyſica, neque ad
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confirmationem veritatis probatæ; ſed ve abſolutè probet
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quod aſſumpſerat,
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aliter omninò probare nequiret. </
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<
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">Ex quibus fæcile apparet quid reſpaondendum ſit ad quar
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tum & quintum argumentum, nempe principia mathemati
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ca non modo in mechanica ſcientia deſeruire ad maiorem
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claritatem doctrinæ, & vt hæc aptetur ad praxim circa parti
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cularia, ſed abſolutè ad demonſtrandas ſuas concluſiones in
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vniuerſum, quas quippe aliter non poſſet omninò probare.
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</
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<
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id
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">Id quod non ſolum verificatur in vni vel altera concluſione,
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ſed ferè in omnibus, vt in progreſſu conſtabit. </
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