Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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Demonſtratio, qua ratio, menſura, modus, ac poten
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tia accelerationis motus in naturali deſcenſu grauium
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determinantur; aduerſus nuper excogitatam à
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G
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alileo
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Galilei Florentino Philoſopho, ac Mathematico de
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eodem motu Pſeudo ſcientiam.
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Hæc ergo Epiſtola eſt,
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ad quam heic primùm Respondetur.
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A pag. </
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">ART. II. III. IV. V. </
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Quæritur nimirùm, An, cùm lapide, v. c. ex alto cadente,
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accipere liceat primum quoddam spatium, vt vnam orgyiam;
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& habe re pro momento, ſeu tempore primo illud quod effluit,
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donec lapis per hanc orgyiam decidit: & pro gradu celeritatis
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primo eam celeritatem, quæ in fine primi huius temporis acqui
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ſita eſt: An inquam, acceptis deinceps æqualibus ſpatijs, tempo
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ribus, & gradibus, cenſeri debeat lapis motuſ-ve ipſius tum
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acquiſiiſſe duos celeritatis gradus, cùm eſt ſuperata ſecunda
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orgyia, licet ſecundum tempus nondum totum effluxerit, ac
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pari modo treis, cùm tertia, quatuor cum quarta, &c. </
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ſemper velocitates ſe habeant ſicut ſpatia, quòd R. P. conten
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dit: An potiùs cenſeride beat
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acquiſiiſſe duos celeritatis gra
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dus, cùm effluxit ſecundum tempus, licet plura spatia, quàm
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duo ſuperata ſint: ac pari modo treis, cùm tertium, quatuor,
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cùm quartum, &c. </
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<
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">adeò vt ſemper velocitates ſe habeant ſicut
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tempora; quæ eſt Galilei ſententia. </
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">Ex qua aliunde ſequitur,
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vt temporibus æqualibus ſpatia ſuperentur iuxta numeros ab
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vnitate impareis: ita vt ſi primo tempore lapis decidat per
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vnam orgyiam, decidat ſecundo per treis, tertio per quinque,
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quarto per ſeptem, &c. </
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<
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">atque idcircò spatia in fine cuiuſque
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temporis à principio vſque aggregata habeant ſe ſicut quadra
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ta temporum; hoc eſt, vt spatia ſuperata ſint in fine vnius
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