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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000212">
                <pb pagenum="47" xlink:href="010/01/055.jpg"/>
                <arrow.to.target n="marg49"/>
                <lb/>
              bet, & quia hoc ſemper repetitur, ſcilicèt perpetuò
                <lb/>
              reſtituitur in ſuperiori loco AI aqua duplò grauior,
                <lb/>
              quàm ea, quæ in loco infimo HD reponitur, igitur
                <lb/>
              vt contingit in libra efficientur perpetuæ, & conti­
                <lb/>
              nuatæ vibrationes, veluti in pendulo, & in aqua fie­
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              ri ſolent plures vndulationes, ſic in aqua perpetuo
                <lb/>
              motu agitarentur eius partes aſcendendo, & deſcen­
                <lb/>
              dendo. </s>
              <s id="s.000213">hoc verò ſenſus euidentia redarguit, igitur
                <lb/>
              fatendum eſt ſupremam aquam AI ſuſtentatam ab
                <lb/>
              inferiori aqua ſuper eam non exercere vim vllam̨,
                <lb/>
              nec preſſionem, proinde que non grauitare, hac ſcili­
                <lb/>
              cet de cauſa, quia nimirùm in eius loco naturali col­
                <lb/>
              locata re quieſcit, ac ſiſtitur. </s>
            </p>
            <p type="margin">
              <s id="s.000214">
                <margin.target id="marg48"/>
              Contra do­
                <lb/>
              ctrinam ſu­
                <lb/>
              periùs addu­
                <lb/>
              ctam adeſt
                <lb/>
              noua difficul­
                <lb/>
              tas, quod ni­
                <lb/>
              mirum mo­
                <lb/>
              tu perpetuo
                <lb/>
              aqua agitari
                <lb/>
              deberet.</s>
            </p>
            <p type="margin">
              <s id="s.000215">
                <margin.target id="marg49"/>
              Cap. 3. flui­
                <lb/>
              dum in ſuo
                <lb/>
              toto quie­
                <lb/>
              ſcens ponde­
                <lb/>
              rat.</s>
            </p>
            <p type="main">
              <s id="s.000216">
                <emph type="center"/>
              PROP. XVIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000217">
                <emph type="center"/>
                <emph type="italics"/>
              Maior aquæ moles alteri ſupe poſita non exercet maiorem
                <lb/>
              vim compresſiuam, quàm minor.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000218">VT verò huiuſmodi paralogiſmus detegatur,
                <expan abbr="animaduertẽd">a­
                  <lb/>
                nimaduertendum</expan>
              eſt minimè verum eſſe, quòd
                <lb/>
              quælibet aquæ moles maior alterà,
                <expan abbr="nẽpe">nempe</expan>
              dupla, exer­
                <lb/>
              ceat quoque duplam vim grauitantem quotieſcum­
                <lb/>
              que maior ſupra minorem inſiſtat, & ab ea fulciatur,
                <lb/>
              ſed tunc ſolummodò propoſitio verificatur quando
                <lb/>
              earum baſes
                <expan abbr="cõtiguæ">contiguæ</expan>
              æquales fuerint, ac inſuper in
                <lb/>
              eodem plano horizonti parallelo conſtiterint. </s>
              <s id="s.000219">Sup­
                <lb/>
              ponatur vas cylindricum plenum aqua ABDC, ſit­
                <lb/>
              que portio ſuprema, & ideò eius altitudo AH dupla
                <lb/>
              infimæ altitudinis HB, licèt ergo reuerà ſupremæ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>