Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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ex A, verſus C, eodem momento, quo aliud ex D,
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verſus E; notum eſt, ſi vtrumque quidem fer
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retur non accelerato, ſed æquabili motu,
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euenturum eſſe, vt velocitate illius exſiſtente
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dupla ad velocitatem iſtius, illud perueniret
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in C, eodem momento, quo iſtud in E;
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quoniam ſpatium ab illo ſuperatum foret
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vbique ad ſpatium ab iſto ſuperatum, du
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plum; hoc eſt, forent ab illo ſuperatæ duæ
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partes, cùm ab iſto vna: ab illo quatuor, cùm ab hoc
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duæ, &c. </
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<
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">quatenus ſpatia ſe haberent vbique, vt velo
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citates; hoc eſt, velocitas per totam AC, eſſet vbique
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dupla velocitatis per totam DE. </
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id
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">At verò, quoniam
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heic agitur de motu non æquabili, ſed continenter
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accelerato; ita diſcedant rursùs mobilia eodem tem
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pore, vnum ab A, aliud à D, vt ſuccreſcentibus conti
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nuò velocitatis gradibus, illud perueniendo in C, ac
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quiſierit duodecim, hoc perueniendo in E, ſex:
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Tum
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interrogas,
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Quid impediat, quò minùs illud perueniat
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in C, eodem tempore, quo iſtud in E?
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Ego verò reſ
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pondeo, nihil certè impedire, ſi tales eſſent, quales deſcribis
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velocitate: taleis autem ſine dubio deſcribis, qualeis in prima
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illa
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G
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alilei propoſitione ſignificari putas. </
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">At hoc ſenſu hypo
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thetica illa Galilei propoſitio falſa eſt, euidenterque impoßi
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bilis: cùm nulla prorsùs ratione conſequens inferi poßit ex
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antecedente. </
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id
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">Hoc enim eſt Antecedens,
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Acceleratio ve
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locitatis in deſcenſu grauium per totam AC, ita con
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tinua ſucceſſione creſcit, vt primùm in B acquiſitus
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ſupponatur vnus aliquis velocitatis gradus; & vlteriùs
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procedente motu, & continuò increſcente celeritate, </
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