Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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mentatus articulo illo velocitatem per totam AE, du
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plam eſſe velocitatis per totam AD. </
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<
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ſuo iam loco demonſtratum abundè ſit: ideò illud ſo
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lùm, quod tu huius loci facis proprium, eſt attenden
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dum. </
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<
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">Quæſo itaque; cùm velis in D acqui ſitum eſſe
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vnum velocitatis gradum, & duos in E, an velis gradum
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acquiſitum in D, manere per ipſam DE, ac eſſe vnum
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ex iis duobus, qui acquiſiti reperiuntur in E; an nolis?
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</
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id
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">Si velis; igitur peripſam DE ſunt duo gradus, vnus
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nempe manens, & alius, qui interim acquiritur. </
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<
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id
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">Si no
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lis; igitur oportet duos gradus, qui ſunt in E, acquiſi
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tos eſſe per ſolam DE. An-non ergo vtrovis modo
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neceſſe eſt velocitatem per ſolam DE, duplam eſſe
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eius, quæ acquiritur per AD? </
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que eſt membrum, circa quod liceat tergiuerſari. </
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<
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id
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">Nam
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circa ſecundum quidem, dicere nihil potes: cùm id
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ſit tamen reuerâ tuum; quatenus, vt ſuperiùs quoque
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adnotatum eſt, vis velocitatem acquiſitam per totam
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DE, eſſe duplam acquiſitæ in D, & acquiſitam in D
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perire: nam alioquin in E velocitas iam eſſet tripla, ſi
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ue in E tres gradus eſſent: cùm eſſe tu velis ſolùm duos,
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& acquiſitos quidem per ſolam DE. </
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<
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">Circa primum
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autem ſi fortaſſis dicas manere quidem primum gra
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dum, ſed nihil agere; ſequetur ſolo ſecundo gradu, qui
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per DE acquiretur, agente, partem DE tempore ni
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hilo breuiore tranſcurri, quàm ipſam AD: cùm etiam
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per te percurratur minùs, quam dimidio. </
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<
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id
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">Et, ſi dicas
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agere: Aut ob ſui conſtantiam duplò aget ampliùs,
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quàm per AD, vt ſuperiùs deduximus; & tunc incom
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modum ſequetur, quod ſuprà quoque oſtenſum eſt; </
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