Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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decurruntur: ita videlicet, vt pars ſecunda spatii abſoluatur
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dimidia parte temporis, quo prima decurſa eſt: & tertia pars
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ſpatii tertia parte eiuſdem primi temporis percurratur, & ita
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de cæteris.
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<
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heic profectò rurſus mirari tuam
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ſagacitatem par eſt, quatenùs eam non fugit error, qui ex poſi
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tione à te aſſerta conſequitur, tametſi ipſe non conſequi, ex iis,
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quæ ſequuntur, contendas.
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<
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Vnum,
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Er
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rorem eſſe, quòd ſecundum ſpatium æquale percurra
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tur dimidio illius temporis, quo primum; tertium trien
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te, quartum quadrante, atque ita de reliquis:
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Alterum,
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huiuſmodi errorem conſequi ex tua pofitione, quòd
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celeritates ſe habeant vt ſpatia, atque adeò, quod ex
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duplo diſtantiæ celeritas habeatur dupla, ex triplo tri
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pla, &c. </
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<
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">Et
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de Priore
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quidem non fuit controuerſia,
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cùm tu eſſe errorem & confeſſus fueris, & aliquot
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etiam argumentis oſtenderis.
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De Poſteriore
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tota lis
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fuit, an nempe huiuſmodi error tuis ex principiis, ſeu
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ex poſitione mox memorata ſequeretur, an-non. </
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<
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">Et,
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ſi ſequeretur, an cùm deinceps & errorem oſtenderes,
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& ex eo admiſſo repugnantia deduceres, non reuerâ
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oſtenderes, ac deduceres aduerſus teipſum, vt cuius er
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ror reuerâ eſſet, tanquam neceſſariò deductus ex tuis
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principiis. </
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<
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id
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">Iam verò illum ex tuis principiis, ſeu propoſitione
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memorata ſequi, ex eo argumentatus ſum, quòd tem
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pora eſſent increſcentium velocitatum ſubmultiplicia:
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adeò, vt quod ſpatium æquale ſecundum dupla velo
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citate percurritur, dimidio temporis percurratur, quo
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primum: & quod tertium tripla, triente; quod quar
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tum quadrupla, quadrante, atque ita de cæteris. </
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