Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

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              <s id="s.000735">
                <pb pagenum="76" xlink:href="028/01/116.jpg"/>
              agitur ſolùm de progreſſione Geometrica, quam ge­
                <lb/>
              neralem cùm ſtatuas, incipere vndelibet licet, & nullo
                <lb/>
              quidem ex puncto magis ſecundum naturam, quàm
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              ex puncto A. </s>
              <s id="s.000736">Dic enim, amabò, ſi quiſpiam pernoſſe
                <lb/>
              rationem exoptet, qua decidens graue progrediatur
                <lb/>
              ab A in B, & tu oſtenſurus ita exordiaris, Vt NC ad
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              CD, ita CD ad DF, &c. </s>
              <s id="s.000737">putas te illi facturum
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              ſatis, ac tibi obiectum non iri quæſtionem eſſe, non
                <lb/>
              de progreſſu ab N ſolùm, ſed de progreſſu ab vſque
                <lb/>
              A, de quo ſi nolles dicere, nihil dicere foret præſtabi­
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              lius? </s>
              <s id="s.000738">Patere quin etiam, vt rogitem te, quî ea expedi­
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              re, quæ à te deinceps ſubiunguntur, valeas? </s>
              <s id="s.000739">Compa­
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              rans enim tempora, quibus partes omnes primum ſe­
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              quentes percurruntur, cum temporibus, quibus vis
                <lb/>
              fragmenta poſterioris illius dimidij ſigillatim ſumpta
                <lb/>
              percurri, iſthæc habes verba,
                <emph type="italics"/>
              Sic tempus, quo primi in­
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              terualli media pars inferior abſoluitur, & quo duæ ſequen­
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              tes partes, nempe
                <emph.end type="italics"/>
              3,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              4,
                <emph type="italics"/>
              ſigillatim tranſcurrerentur;
                <lb/>
              itemque illud, quo quatuor ſequentes
                <emph.end type="italics"/>
              5, 6, 7,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              8,
                <emph type="italics"/>
              vel
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              ſequentes octo
                <emph.end type="italics"/>
              9, 10, 11, 12, 13, 14, 15,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              16,
                <emph type="italics"/>
              aut cæ­
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              teræ conſequenter, ſeorſim tamen, & ſucceßiuè abſolueren­
                <lb/>
              tur.
                <emph.end type="italics"/>
              </s>
              <s id="s.000740"> Quæſo te verò, quî id fieri, quod hac ratione
                <lb/>
              deducis valeat? </s>
              <s id="s.000741">Aſſume enim integrum tempus, quod­
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              cúmque volueris, vt ad illud referas quaſcúmque heic
                <lb/>
              enumeras parteis, & peruidebis ratio-ne dupla id ip­
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              ſum, quod moliris, abſoluat. </s>
              <s id="s.000742">Eſto v. c. tempus per
                <lb/>
              AC triginta ſex, vt triens, ſeu tempus, quod tribuis
                <lb/>
              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 </s>
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