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

Page concordance

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