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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001028">
                <pb pagenum="199" xlink:href="010/01/207.jpg"/>
                <arrow.to.target n="marg264"/>
                <lb/>
              tioni eiuſdem ſolidi intra eiuſdem fluidi libellam de­
                <lb/>
              merſi. </s>
              <s id="s.001029">Qua proptèr quando pondus abſolutum præ­
                <lb/>
              dicti ſolidi minus fuerit pondere prædicti fluidi am­
                <lb/>
              bientis æqualis portioni eius demerſæ neceſſariò
                <lb/>
              ſolidum ipſum in fluido eleuabitur vlteriuſque
                <expan abbr="aſcẽ-det">aſcen­
                  <lb/>
                det</expan>
              , igitur Cylindrus AC vnà cum ſuperincumben­
                <lb/>
              te pondere P eique coniuncto, & continuato noņ
                <lb/>
              quieſcet, ſed ſursùm aſcendet, quaproptèr vis pre­
                <lb/>
              mens ponderis P non ſufficit, nec habet tantam̨
                <lb/>
              vim vt retineat ſolidum AC integrè infra fluidi
                <lb/>
              M libellam demerſum. </s>
              <s id="s.001030">Cùmque, vt Archimedes de­
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                <arrow.to.target n="marg265"/>
                <lb/>
              monſtrauit, energia, & vis, qua ſolidum AC cona­
                <lb/>
              tur, & vim facit vt ſursùm aſcendat in fluido M ęqua­
                <lb/>
              lis ſit vi illius ponderis, quod ſi ſuper id imponatur,
                <lb/>
              poteſt id retinere infra fluidi libellam prohibereque
                <lb/>
              eius aſcenſum, igitur vis, qua cylindrus AC conatur
                <lb/>
              ſursùm aſcendere in fluido M maior eſt quacumque
                <lb/>
              vi finita ponderis P, & hoc propoſitum fuerat. </s>
            </p>
            <p type="margin">
              <s id="s.001031">
                <margin.target id="marg262"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.001032">
                <margin.target id="marg263"/>
              De
                <expan abbr="inſidẽt">inſident</expan>
              .
                <lb/>
              humido lib.
                <lb/>
              5. prop. 4.</s>
            </p>
            <p type="margin">
              <s id="s.001033">
                <margin.target id="marg264"/>
              Cap. 4. poſi­
                <lb/>
              tiuam
                <expan abbr="leui-tatẽ">leui­
                  <lb/>
                tatem</expan>
                <expan abbr="nõ">non</expan>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.001034">
                <margin.target id="marg265"/>
              Eod. lib. 1.
                <lb/>
              prop. 6.</s>
            </p>
            <p type="main">
              <s id="s.001035">
                <emph type="center"/>
              PROP. XCVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001036">
                <emph type="center"/>
                <emph type="italics"/>
              His præmisſis deuenio iam ad propoſitionem
                <expan abbr="principalẽ">principalem</expan>
              , quòd
                <lb/>
              nimirùm quodlibet corpus ſursùm aſcendens in date
                <lb/>
              aliquo fluido non eleuatur ſponte ſua à principio
                <lb/>
              nempè intrinſeco leuitatis impulſum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001037">SIt L quodlibet corpus eorum, quæ à Peripateti­
                <lb/>
              cis vocantur à prædominio aerea, vt ſunt ferè
                <lb/>
              omnia ligna, & alia innumera, & fluidum M in vaſe
                <lb/>
              FDI
                <expan abbr="contẽtum">contentum</expan>
              , ſit que prædictum fluidum, aut aqua, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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