Gassendi, Pierre, De motu impresso a motore translato epistulae duae, 1642

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id.000325">
                <pb pagenum="26" xlink:href="027/01/033.jpg"/>
              facit. </s>
              <s id="id.000326">Ex quo ſequitur, vt quemadmodum in primo
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              momento deſcenſus peruenit ex B ad N, ita in vltimo
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              aſcenſus perueniat ad B ex M, paris altitudinis cum N.
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              </s>
              <s id="id.000327">Et quemadmodum in ſecundo deſcenſus ex N per­
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              uenit ad O; ita in penultimo aſcenſus perueniat ad M
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              ex L, atque ita conſequenter; donec vt in vltimo deſ­
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              cenſus peruenit ad H ex Q, ita in primo aſcenſus ex
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              G perueniat ad I, cuius altitudo altitudini Q eſt
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              æqualis. </s>
            </p>
            <p type="main">
              <s id="id.000328">Elicio
                <emph type="italics"/>
              ſextò,
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              Proportionem incrementi velocitatis
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              deſcenſus per lineam BH, dum malus mouetur, eſſe
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              eandem, quæ per lineam BA, cum malus quieſcit.
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              </s>
              <s id="id.000329">Quippe cùm increſcente velocitate perueniat tam in
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              primo caſu ad H, quàm in ſecundo ad A, patet, ſi
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              deſcenſus in ſecundo caſu terminaretur ad altitudi­
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              nem F, fore vt in primo terminaretur ad altitudinem
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              Q æqualem altitudini F. Et, ſi illeic terminaretur ad
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              E, fore vt heic ad P: ſi illeic ad D, heic ad O, ſi illeic
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              ad C, heic ad N. </s>
              <s id="id.000330">Quare & progreſſu facto neceſſe
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              eſt eadem proportione acquiſitam eſſe velocitatem
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              per parteis lineæ B, N, O, P, Q, H, ac per parteis lineæ
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              B, C, D, E, F, A. </s>
            </p>
            <p type="main">
              <s id="id.000331">Elicio
                <emph type="italics"/>
              ſeptimò,
                <emph.end type="italics"/>
              Proportionem decrementi veloci­
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              tatis in aſcenſu per lineam GB, eſſe reciprocè ean­
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              dem, quæ incrementi in deſcenſu per lineam BA;
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              adeò vt, quemadmodum illeic, in primo momento
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              peruenitur ex B ad C, ita heic in vltimo perueniatur
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              ad B ex M, altitudinis æqualis ipſi C; & vt illeic in
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              ſecundo peruenitur ex C ad D; ita heic in penultimo
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              perueniatur ad M ex L, altitudinis eiuſdem cum D: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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