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

Page concordance

< >
Scan Original
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
< >
page |< < of 579 > >|
    <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" number="136"/>
                <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="cũ">cum</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum