Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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decurri temporibus æqualibus in ratione continuò dupla:
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Atqui in motu accelerato grauium decidentium velocitates
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acquiſitę ſe habent vt emenſa spatia:
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Igitur in motu accelerato grauium decidentium neceſſe eſt
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spatia decurri æqualibus temporibus in ratione continuò du
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pla.
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Diuiſo ſpatio in quotcumque æqualeis parteis lubuerit, ſi
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in fine primæ partis vnus velocitatis gradus acquiſitus ſit, in
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fine ſecundi acquiſiti ſint duo, in fine tertij tres, & ita dein
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ceps; oportet tempus, quo percurritur ſecunda pars, æquale eſſe
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tempori, quo percurritur dimidium inferius primæ partis,
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quòd velocitas per illam acquiſita ſit dupla velocitatis acqui
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ſitæ per hoc, vti & spatium duplum eſt; ac deinde tempus,
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quo percurruntur tertia, & quarta (tempus, inquam, aliun
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de æquale tempori, quo ſigillatim percurrerentur triens,
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& quadrans infimi eiuſdem primæ partis) eſſe ſimiliter
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æquale, quòd vt ambarum ſpatium duplum eſt ſpatij ſecun
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dæ, ita dupla velocitas acquiſita per illas ſit: & iterùm tem
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pus, quo percurruntur quinta, ſexta, ſeptima, octaua, pari
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ratione eſſe æquale, quod vt ſpatium illarum iunctim spatij
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ſecundæ, & tertiæ eſt duplum, ſic dupla velocitas ſit; atque ita
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de cæteris:
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Igitur, ſi in motu accelerato grauium decidentium veloci
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tates acquiſitæ ſe habent vt emenſa ſpatia; neceſſe eſt spatia
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decurri temporibus æqualibus in ratione continuò dupla.
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Conſtat experientia clara, facili, & indubitata, ſi globus
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quilibet aſſumatur, & Bilanx ita ſuspendatut, vt lance al
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tera ſuſtentata cum impoſito tanto pondere, quantum ipſius
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