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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000135">
                <pb pagenum="28" xlink:href="010/01/036.jpg"/>
                <arrow.to.target n="marg28"/>
                <lb/>
              tur ab E per FZ versùs I, & ſic à prædicto motu circu­
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              lari aquæ ambientis lignum expelletur ſursùm; atta­
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              men ratio mechanica huius actionis pendet ex eo,
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              quòd libra horizontalis imaginaria PO flectitur per­
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              petuò deorsùm quidem ad partes centri grauitatis Y
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              circa centrum Q, & ſursùm ad partes O. ſed ſummo­
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              perè animaduertendum eſt prædictam libram imagi­
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              nariam horizontalem renouari ſucceſſiuè prout
                <expan abbr="lignũ">lignum</expan>
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              aſcendit,
                <expan abbr="comparaturq;">comparaturque</expan>
              cum alijs lateralibus priſma­
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              tibus aqueis, quæ ſucceſſiuè offendit intercepta in­
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              ter prædicta plana horizontalia GB, & HC: neceſsè
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              ergo eſt vt lignum prædictum numquàm quieſcat in­
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              tra aquam demerſum quòuſque ad ſupremam
                <expan abbr="libellã">libellam</expan>
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              aquæ RX perducatur; inſuperque aliqua eius por­
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              tio emineat. </s>
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            <p type="margin">
              <s id="s.000136">
                <margin.target id="marg28"/>
              Cap. 2. dę
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              momentis
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              grauium in
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              fluido inna­
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              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000137">
                <emph type="center"/>
              COR OLLARIVM.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000138">Hinc patet veritas Archimedei aſſumpti, quòd
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              fluidi conſiſtentis natura requirit vt partium eius æ­
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              què iacentium magis compreſſæ ſursùm impellant
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              partes minus preſſas perpendiculariter ad
                <expan abbr="horizontẽ">horizontem</expan>
              . </s>
            </p>
            <p type="main">
              <s id="s.000139">Quia aqua ſubiecta HCTS ob eius conſiſtentiam̨
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              non condenſatur, & mobilis eſt, quia fluida, ergo li­
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              bram flexibilem conſtituit,
                <expan abbr="eſtq;">eſtque</expan>
              pars ſubiecta HV
                <lb/>
              magis compreſſa quàm DT (propterea quòd pars a­
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              quea GD grauior eſt ligno AC) igitur libra fluida
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              HDC flecti debet deſcendendo HD & DC aſcen­
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              dendo, quare tota aqua HSVD deorsùm depreſſa im­
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              pellet aquam DVTC ſursùm. </s>
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        </body>
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    </archimedes>
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