Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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bor: ſi verò non probes, fruſtrà omnis tuus. </
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<
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">An ergo
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alia ratione probas, quam quæ habetur numero tuæ
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Diſſertationis XXXIV. pro ſecunda parte comparata
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cum primæ partis inferiore dimidio; & XXXVII. pro
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quarta comparata cum triente: ac xxxviij. </
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<
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quarta comparata cum quadrante? </
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<
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que quid id ſit videamus, ac circa partem ſpeciatim ſe
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cundam (cùm eadem ſit ratio proportione de cæteris)
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nam & tametſi res videatur eſſe iam abundè confecta:
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operætamen
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eſt ipſam præſertim heic adnotare. </
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">Aſſumptâ illeic lineâ AB, diuiſa in parteis æqua
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leis AD, DE, &c. </
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<
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">ac prima parte biſecti in S,
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expreſſa ſententia hiſce verbis exſtat
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Tota
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DE
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eodem præcisè tempore, quo pars
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SD
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tranſcurritur.
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Tum probatio hæc additur,
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Cùm enim
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AD
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du
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pla ponatur ipſius
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AS,
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& ſimiliter
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AE
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dupla ſit
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ipſius
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AD,
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neceſſe eſt, vt velocitas in
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D,
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dupla ſit
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velocitatis in
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S,
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& velocitas in
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E
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eodem modo du
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pla reperiatur velocitatis in D.
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</
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<
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"> Deducis conſe
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quenter velocitatem per totam DE eſſe du
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plam velocitatis per totam SD: ſed quod caput
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eſt, peruideamus. </
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<
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id
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">Neceſſe dicis
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velocitatem in
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D,
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eſſe duplam velocitatis in
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S,
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& velocitatem in
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E
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velocitatis in
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D, eo argumento,
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quòd
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AD
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dupla
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ſit ipſius
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AS,
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&
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AE
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ipſius
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AD. </
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<
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ergo neceſſitatem huius conſequutionis pro
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bas? </
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<
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">Nam hoc opus, hic labor eſt. </
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<
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">Quomodò,
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inquam, ex eo, quòd
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spatium
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AD
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type
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duplum ſit spatij
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AS,
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ſpatium
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AE
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spatij
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AD, ſequi neceſſariò,
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vt
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velocitas in D dupla ſit velocitatis in S, & velocitas in
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