Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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trienteis quorum poſtremus ſit IC; ſic tota AH diui
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di poteſt in trienteis treis, quorum poſtremus ſit QH;
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& vt facis tempus per IC minuti vnius cum triente;
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cùm ſit nempe triens minutorum quatuor, ſiue duo
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rum bes; ita facere licet tempus per QH quadragin
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ta ſecundorum, cùm ſit triens minutorum duorum,
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ſiue bes vnius minuti. </
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<
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">Cùm autem hoc modo QH
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ſe habeat ad IC, vt IC, ad ND; & CA non minùs ſit
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tripla ipſius AQ, quàm DA ipſius AI, vtráque nem
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pe pari modo, quo EA ipſius AC; adeò vt velocitati
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bus ob rationem triplam exæquatis, ſic ego poſſim
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concludere QH ſe habere ad IC, vt tu concludis IC
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ſe habere ad DE, ſequitur, vt, quia concludis tempora
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per IC, & DE eſſe æqualia; tempora quoque per QH,
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& IC æqualia ſint, ac proinde tempus per IC ſit iam
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non vnius minuti cum beſſe, ſed dimidium minuti
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cum ſextante; & qua ratione hoc ſequitur, ſequetur vt
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aſſumpto dimidio ipſius AH, ac ita ſumptis in infini
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tum dimidiorum dimidiis, quæ per trienteis diuidan
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tur, futurum, vt ipſa IC minore ſemper, ac minore in
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inſinitum tempore, quàm ipſe admiſeris, cenſeatur per
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curri. </
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<
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">Sic ex eo, quod vis velocitatem in E eſſe tri
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plam velocitatis in C; & velocitatem in D triplam
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velocitatis in I, pro ratione nempe ſpatiorum, Sequi
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tur vt tam tota DE, quàm tota IC percurrantur non
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iam vno minuto cum triente, ſed omninò duobus
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minutis, trienteve minutorum ſex, quibus percurritur
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AC: cùm vbicumque eſt velocitatis triplum, ibi ma
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nifeſtò non ſit nec ampliùs nec minùs, quàm tempo
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ris triens. </
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<
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">Sic incidis rursùs in eum, quem eſſe cauſ-</
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