Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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percurruntur æqualibus temporibus, percurruntur
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quoque plures, plureſque ex geminatis lineæ AC.
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<
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">Ex hoc autem ſit, vt quemadmodum in æquabili mo
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tu, DE percurrebatur ſex minutis, & AC ſimiliter
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ſex, ob geminas parteis iſtius correſpondenteis ſingu
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lis illius, ita in accelerato, ſi DE percurratur tribus
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minutis, AC percurratur ſimiliter tribus; quòd dum
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primo minuto percurritur pars illius vna, percurran
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tur iſtius duæ, ob ge minam velocitatem; & ob ean
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dem cauſſam, dum ſecundo minuto percurruntur
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illius duæ, percurrantur iſtius quatuor, dum tertio
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demùm illius tres, percurrantur iſtius ſex. </
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">Nim rùm
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non alia ratione dici poſſent habere ſe velocitates vt
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ſpatia: neque velocitas per totam AC dupla eſſet ve
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locitatis per totam DE Eſto deinde vnicum mobile,
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quod decedens ab A, tendat verſus C, & ſit rursùs
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velocitas per totam AC dupla velocitatis per totam
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AB, patet idem prorsùs dicendum de AC, reſpectu
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AB, quod dictum fuit de eadem reſpectu DE. </
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<
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">Nam
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in æquabili quidem motu oporteret mobile percur
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rere ſimul, ſeu primo minuto primam, & ſecundam
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parteis; ſecundo ſecundam, & quartam; ac ita porrò
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quovſque ſexto, percurreret, ſeu attingeret ſimul
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ſextam, atque duo ſecimam. </
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<
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">In accelerato verò
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eſt neceſſe, vt percurrat ſimul vnam, & duas in pri
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mo; duas, & quatuor in ſecundo; treis, & ſex in tertio;
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atque adeò totam AB, & totam AC tempore eo
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dem. </
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<
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Vt prima illius Paralo
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giſmi aſſumptio in motu vniformi, ac perpetuò ſibi æquali
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