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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002018">
                <pb pagenum="381" xlink:href="010/01/389.jpg"/>
                <arrow.to.target n="marg511"/>
                <lb/>
              infimo fiſtulæ inani ab aqua derelicto. </s>
            </p>
            <p type="margin">
              <s id="s.002019">
                <margin.target id="marg510"/>
              Cap. 8. cur
                <lb/>
              exiguæ aquæ
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="margin">
              <s id="s.002020">
                <margin.target id="marg511"/>
              Cap. 8 cur
                <lb/>
              exiguæ aquæ
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="main">
              <s id="s.002021">
                <emph type="center"/>
              PROP. CLXXXVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002022">
                <emph type="center"/>
                <emph type="italics"/>
              Aqua in fistula magis demerſa non debet altiùs eleuari
                <lb/>
              quàm in ca quæ aquam, aut aerem tangit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002023">SEd procedamus ad præcipuam difficultatem, ex
                <lb/>
              cuius ſolutione reliquis omnibus ſatisfiet. </s>
              <s id="s.002024">Sit
                <lb/>
              vas RSV aqua plenum, ſumanturque duæ fiſtulæ æ­
                <lb/>
              quales, & æquè amplis cauitatibus perforatæ, vtrin­
                <lb/>
              que apertæ, vna quidem AB profundiùs demergatur
                <lb/>
              infra aquæ libellam RV; reliqua verò EH tantum­
                <lb/>
              modò ſuperficiem aquæ RV contingat, & ambo per­
                <lb/>
              pendicularitèr inſiſtant ſupremo
                <lb/>
                <figure id="id.010.01.389.1.jpg" xlink:href="010/01/389/1.jpg"/>
                <lb/>
              plano aquæ RV. </s>
              <s id="s.002025">Si ergo verum̨
                <lb/>
              eſt, quòd aqua collateralis magis
                <lb/>
              compreſſa à totali eius momento
                <lb/>
              qualis eſt cylindrus aqueus FI
                <lb/>
              comparatus cum aqua BC, quæ
                <lb/>
              minus comprimit
                <expan abbr="ſubiectã">ſubiectam</expan>
                <expan abbr="aquã">aquam</expan>
              ,
                <lb/>
              eò quòd ſuſpenditur, ſuſtentatur­
                <lb/>
              que ab internis vitri aſperitati­
                <lb/>
              bus, redditurque aqua CB veluti
                <lb/>
              virga lignea reſpectu aquæ colla­
                <lb/>
              teralis FI; ergo quò profundiùs demergitur fiſtulą
                <lb/>
                <arrow.to.target n="marg512"/>
                <lb/>
              longior eſt virgula minùs grauis aquea BC, & ideò,
                <lb/>
              ex demonſtratis, validiori vi ſursùm impelletur ab a­
                <lb/>
              qua collaterali FI, quàm impellatur ſursùm exiguus
                <lb/>
              cylindrulus aquæ H, qui ſuſtinetur, &
                <expan abbr="cõparatur">comparatur</expan>
                <expan abbr="">cum</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>