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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001465">
                <pb pagenum="283" xlink:href="010/01/291.jpg"/>
                <arrow.to.target n="marg378"/>
                <lb/>
              ior moles aquæ in tubo pneumatico eleuatur, & è
                <expan abbr="cõ-uerſo">con­
                  <lb/>
                uerſo</expan>
              maior moles aquæ in tubo pneumatico BR ele­
                <lb/>
              uata maiorem vim ſuſtentantem, & eleuantem exi­
                <lb/>
              git. </s>
              <s id="s.001466">Intelligatur modò corpus FV eſſe aereum cylin­
                <lb/>
              drum embolo AB incumbens, eumque deprimens ſu­
                <lb/>
              pra aquæ libellam B (neglecta facilitatis gratia gra­
                <lb/>
              uitate ipſius emboli) pariterque ſit cor­
                <lb/>
                <figure id="id.010.01.291.1.jpg" xlink:href="010/01/291/1.jpg"/>
                <lb/>
              pus EX alter cylindrus aereus ſuperfi­
                <lb/>
              ciei aquæ C incumbens, igitur quotieſ­
                <lb/>
              cumque duo pondera aerea FV, & EX
                <lb/>
              æqualia ſunt, æquali vi ſubiectam
                <expan abbr="aquã">aquam</expan>
                <lb/>
              premunt, & in tali ſtatu aqua B nequę
                <lb/>
              eleuabitur, neque deprimetur, dum equè
                <lb/>
              comprimitur à
                <expan abbr="colũnis">columnis</expan>
              aereis FV, & EX
                <lb/>
              æquilibratis; at quando aduenit quæli­
                <lb/>
              bet exigua vis poterit ſuſtentare
                <expan abbr="aereũ">aereum</expan>
                <lb/>
              cylindrum FV æquilibratum, & ideò
                <expan abbr="">non</expan>
                <lb/>
              grauem, eumque ſursùm impellere, &
                <lb/>
              proindè prohibere eius preſſionem ſupra aquam B,
                <lb/>
              & tunc tanta præcisè erit compreſſio facta à cylindro
                <lb/>
              aereo EX ſupra ſubiectam aquam, quanta eſt vis, à
                <lb/>
              qua cylindrus aereus FV ſuſtinetur ſubleuaturque,
                <lb/>
              & tanta præcisè erit aquæ moles BS eleuata in tubo
                <lb/>
              pneumatico, igitur quantum præcisè augetur graui­
                <lb/>
              tas ipſius aquæ BS ſubleuatæ, tantum præcisè augeri
                <lb/>
              debet vis illa, qua cylindrus aereus FV ſursùm im­
                <lb/>
              pellitur, ſeù tantumdem augeri debet vis manus ſur­
                <lb/>
              sùm embolum trahentis, à quo paritèr aereus cylin­
                <lb/>
              drus FV ſuſtinetur impelliturque ſursùm. </s>
              <s id="s.001467">Et hinc pa-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>