Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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Quippe, vt tempus per AN eſt
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quatuor; ita
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tempus per NC, & CD, vtrumque, ex te, minutorum
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duorum, ſtatuitur coniunctim minutorum quatuor.
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<
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">Ecquo ergo modo ſanari id putas? </
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<
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id
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s.000729
">Patere rursùs mi
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rari me, quorſum ablegandam cenſueris progreſſio
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nem illam arithmeticam, qua velocitates ſe, vt ſpatia
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habent, & quam ſternendam, vt fundamentum ædifi
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cij totius cenſuiſti? </
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<
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id
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">Ecce enim, cùm velles gradus ce
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leritatis ita diſtribui, vt in D eſſent duo gradus, quo
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rum vnus eſſet acquiſitus ab A in C, & alius ipſi æqua
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lis acquiſitus à C in D; vis iam à C in D talem gra
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dum acquiri, qualis acquiritur ab N in C; quando
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quidem CD tanto tempore, quanto NC, cuius eſt
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dupla, percurritur. </
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<
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">Ex quo rurſus conſequitur, vt ve
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locitates per AC, & NC acquiſitæ ſint prorsùs æqua
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les; ac proinde, vt AC, & NC hoc eſt totum, & pars
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eodem tempore percurrantur; ac ſpatium CD non
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percurratur modò eodem tempore, quo NC, ſed
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etiam eodem, quo AC; quæ iterùm neſcio ſanari quá
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valeant. </
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<
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<
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id
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">Patere inſuper, vt requiram, ſubſit-ne tibi
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ratio, quamobrem diuisâ lineâ AB in parteis æqua
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leis, deligere poſſis dimidium NC, &i pergendo pro
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portione dupla dicere, vt NC ad CD, ita CD ad
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DF, & DF ad FK, &c. </
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<
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id
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s.000734
">dicere autem perinde non
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liceat, vt AC ad CE, ita CE ad EI, & EI ad ſui du
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plam? </
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<
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">Dicere certè accipiendum eſſe poſterius pri
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mæ partis dimidium, quòd contineatur in eo men
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ſura cæterarum partium conſequentium, videtur eſſe
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dicere gratis, ipſamque petere quæſtionem; ac aliunde </
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