Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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acquiſito ab vſque A. </
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<
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">Et quamvis tu ſis inferiùs di
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cturus velocitatem acquiſitam ex E in G duplam eſſe
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acquiſitæ in E (nempe dum ſtatuis primum gradum
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acquiri à ſolo medio ipſius AE) & ſic velle debeas
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gradum acquiſitum in E, ſeu DE perire; quoniam re
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periri in G, niſi duos gradus non vis: cùm ſi acquiſitus
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in E remaneret, futuri eſſent tres: vide nihilominùs
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quid hoc loco ſequatur. </
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<
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">Nam ſi pereunte gradu DE,
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duo gradus, quos vis reperiri in G, vt puta FP, &
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PG, acquirendi ſint per ſolum ſpatium EG, factis vi
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delicet augmentis ſecundum triangulum, qui ducta
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linea ex E in F ſit EFG, neceſſe eſt, accelerationis
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æquabilitas interrumpatur prorſus in E; & cùm ibi
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acceleratio ad ſuum redierit principium, non ſit dein
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ceps futura tanta, quanta fuerit in E, niſi in medio
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ſpatij EG. </
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<
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">Itaque gradus velocitatis DE acquiſitus
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ex A in E non perit, ſed manet; & cum mobile pro
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inde peruenit ad G, talis gradus euadit PG, ac illi ad
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iunctus reperitur FP acquiſitus interim per augmen
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ta facta ſecundum triangulum DFP. </
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">Quæro deinde, an gradus velocitatis DE manens,
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dum mobile percurrit EG, otioſus ſit, an aliquid agat?
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</
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<
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">Non dices ſanè otioſum eſſe; alioquin enim mobile
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tempore nihilo breuiore perueniret ex E in G, quàm
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ex A in E, vt putà tranſlatum æquali ſolùm velocita
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te. </
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<
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<
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">hoc eſt,
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Si concipiamus mobile, poſtquàm peruenit ad E, non
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accipere amplius vlla augmenta, qualia acquiri dixi
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mus ſecundum triangulum DFP, ſed moueri ſolùm
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æquabiliter velocitate acquiſita DE: requiro quanto </
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