Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001463">
                <pb pagenum="282" xlink:href="010/01/290.jpg"/>
                <arrow.to.target n="marg377"/>
                <lb/>
              quòd hoc æquilibratur ab æquipondio ipſius E, &
                <lb/>
              proinde F nullam compreſſionem exercet, perinde,
                <lb/>
              ac ſi grauitate omninò careret, quare à quacumque
                <lb/>
              exiliſſima vi ſuſpendi, & ſursùm impelli poterit, ſit­
                <lb/>
                <figure id="id.010.01.290.1.jpg" xlink:href="010/01/290/1.jpg"/>
                <lb/>
              que talis vis ſuſpenſiua, vna pars
                <lb/>
              quarta
                <expan abbr="põderis">ponderis</expan>
              ipſius F, igitur
                <expan abbr="põ-dus">pon­
                  <lb/>
                dus</expan>
              quod F exercet, erit tres quar­
                <lb/>
              tæ partes totius ponderis E, igitur
                <lb/>
              non ampliùs fiet æquilibrium, ſed
                <lb/>
              pondus E exercebit quadrantem
                <lb/>
              totius ſui ponderis, & cum hoc
                <expan abbr="cõ-primet">com­
                  <lb/>
                primet</expan>
                <expan abbr="ſubiectã">ſubiectam</expan>
              a
                <expan abbr="quã">quam</expan>
              C, & proin­
                <lb/>
              dè eleuare poterit in oppoſito tu­
                <lb/>
              bo ſiphonis aquæ molem BM, cu­
                <lb/>
              ius pondus vna quarta pars ſit
                <lb/>
              ponderis E, vel F. </s>
              <s id="s.001464">Poſteà denuò ſuperaddita cau­
                <lb/>
              fa externa ſursùm F impellente, & ſuſtentante, vt
                <lb/>
              nimirùm remaneat vis comprimens ipſius E immi­
                <lb/>
              nuta, & æqualis medietati ponderis E. </s>
              <s id="s.001465">Manifeſtum̨
                <lb/>
              eſt magis æquilibrium ſuperare graue E, ſcilicèt eius
                <lb/>
              momentum erit æquale dimidio totius eius ponderis
                <lb/>
              E, vel F, proindeque eleuabit duplam aquæ molem
                <lb/>
              in aduerſo tubo vſque ad O, vt nimirùm moles aquæ
                <lb/>
              BO dupla ſit ipſius BM, & ſic vlteriùs adueniente no­
                <lb/>
              ua vi ſuſtentante pondus F ſemper magis diminuetur
                <lb/>
              ipſius F compreſſio, & tantumdèm præcisè creſcet
                <lb/>
              momentum ponderis E, & tantundem augebitur ele­
                <lb/>
              uatio aquæ in tubo BR, quaproptèr conſtat quod à
                <lb/>
              maiori vi ſursùm
                <expan abbr="impellẽte">impellente</expan>
              pondus F neceſſariò ma-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>