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

Table of figures

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              tamen inſinuabatur in duobus conſectariis, ecce quo­
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              modò ea probetur. </s>
              <s id="s.001568">NC, & CD debent, per
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              te, eſſe æquales; quoniam vtraque, per te, de­
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              bet eſſe æqualis lineæ AC: quare &, ſi æquali
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              percurrantur tempore, æquali percurrentur ve­
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              locitate. </s>
              <s id="s.001569">Et de æqualitate quidem lineæ CD,
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              cum AC, non eſt dubium; probo de NC, AC, &
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              NC eadem velocitate ſecundum ſe totas per­
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              curruntur, ex te; Ergo ſunt inter ſe æquales. </s>
              <s id="s.001570">Pro
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              batur antecedens. </s>
              <s id="s.001571">Ad velocitatem acquiſitam
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              per totam AC, addita quæ acquiritur per CD,
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              facit velocitatem in D duplam velocitatis in
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              C; ad volocitatem acquiſitam per totam NC,
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              addita quæ acquiritur per eandem CD, facit
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              itidem velocitatem in D, velocitatis in C du­
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              plam; & vtrumque quidem per te. </s>
              <s id="s.001572">Igitur per te
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              AC, & NC, ſecundum ſe totas velocitate ea­
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              dem percurruntur; ſuntque idcircò inter ſe
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              æquales. </s>
              <s id="s.001573">Tu ergo vim conſequutionis ex inte­
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              gro antecedente diffimulans, infers ſolùm ex
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              duplo ſpatij, & temporis æqualitate, velocitates
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              eſſe vt ſpatia: ac retices quod intereſt, quodque
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              ſubnotatum fuit, cùm ſubiunxi,
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              conſequi, vt
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              velocitates per AC, & NC, acquiſitæ ſint prorſus
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              æquales: ac proinde vt AC, & NC, hoc est totum, &
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              pars eodem tempore percurrantur, &c.
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              <s id="s.001574"> Sequitur. </s>
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              Numero xli. </s>
              <s id="s.001576">etiam peccas; cùm, vt impugnes conſtitu­
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              tam à me cæterarum partium toto spatio decurrendo deſigna­
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              tarum respectum ad analoga primæ partis ſegmenta, non ſo­
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              lùm earumdem partium reſpectum ad parteis temporis exigis,
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