Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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agitur ſolùm de progreſſione Geometrica, quam ge
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neralem cùm ſtatuas, incipere vndelibet licet, & nullo
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quidem ex puncto magis ſecundum naturam, quàm
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ex puncto A. </
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<
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">Dic enim, amabò, ſi quiſpiam pernoſſe
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rationem exoptet, qua decidens graue progrediatur
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ab A in B, & tu oſtenſurus ita exordiaris, Vt NC ad
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CD, ita CD ad DF, &c. </
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<
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id
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">putas te illi facturum
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ſatis, ac tibi obiectum non iri quæſtionem eſſe, non
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de progreſſu ab N ſolùm, ſed de progreſſu ab vſque
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A, de quo ſi nolles dicere, nihil dicere foret præſtabi
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lius? </
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<
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">Patere quin etiam, vt rogitem te, quî ea expedi
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re, quæ à te deinceps ſubiunguntur, valeas? </
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rans enim tempora, quibus partes omnes primum ſe
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quentes percurruntur, cum temporibus, quibus vis
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fragmenta poſterioris illius dimidij ſigillatim ſumpta
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percurri, iſthæc habes verba,
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Sic tempus, quo primi in
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terualli media pars inferior abſoluitur, & quo duæ ſequen
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tes partes, nempe
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3,
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&
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4,
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ſigillatim tranſcurrerentur;
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itemque illud, quo quatuor ſequentes
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5, 6, 7,
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&
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8,
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vel
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ſequentes octo
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9, 10, 11, 12, 13, 14, 15,
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&
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16,
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aut cæ
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teræ conſequenter, ſeorſim tamen, & ſucceßiuè abſolueren
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tur.
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<
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"> Quæſo te verò, quî id fieri, quod hac ratione
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deducis valeat? </
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">Aſſume enim integrum tempus, quod
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cúmque volueris, vt ad illud referas quaſcúmque heic
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enumeras parteis, & peruidebis ratio-ne dupla id ip
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ſum, quod moliris, abſoluat. </
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<
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">Eſto v. c. tempus per
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AC triginta ſex, vt triens, ſeu tempus, quod tribuis
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poſteriori dimidio, quodque primum facis, ſit duode
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cim; cùm ſubinde ſpatium æquale dimidio, cui debi
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tum ſit tempus 6. ideò duplices, vt pro ſecundo ſpatio </
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