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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000354">
                <pb pagenum="75" xlink:href="010/01/083.jpg"/>
                <arrow.to.target n="marg82"/>
                <lb/>
              tinget in aqua deſcendente EF quæ videtur habere
                <lb/>
              nedùm vim propriæ grauitatis, ſed inſuper
                <expan abbr="impetũ">impetum</expan>
                <lb/>
              quo deorsùm fertur, ſicuti ſaxum, quod deorsùm̨
                <lb/>
              proijcitur, vim, & percuſſionem infert nedum men­
                <lb/>
              ſuratam à gradu eius ponderis, ſed etiam ab impe­
                <lb/>
              tu eius deſcenſiuo; qua propter vis, quæ ſubtrahitur
                <lb/>
              ab aqua
                <expan abbr="aſcendẽte">aſcendente</expan>
              FG, ſuperadditur grauitati aquæ
                <lb/>
              deſcendenti EF, & ſic duplicatur vis eiuſdem aquæ
                <lb/>
              deſcendentis qua fundum vaſis BC comprimitur;
                <expan abbr="">cum</expan>
                <lb/>
              igitur id, quod ſubtrahitur ab aqua aſcendente FG
                <lb/>
              ſuperaddatur ponderi aquæ deſcendentis EF com­
                <lb/>
              penſabitur defectus cum additamento impetus
                <expan abbr="cõ-preſſiui">con­
                  <lb/>
                preſſiui</expan>
              , proindeque non imminuetur pondus totius
                <lb/>
              aquæ in vaſe AC contentæ, & hæc erit cauſa, quare
                <lb/>
              etiam poſt aquæ agitationem pondus eius in librą
                <lb/>
              non alteratur, nec imminuitur. </s>
            </p>
            <p type="margin">
              <s id="s.000355">
                <margin.target id="marg82"/>
              Cap. 3. flui­
                <lb/>
              dum in ſuo
                <lb/>
              toto quie­
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              ſcens ponde­
                <lb/>
              rat.</s>
            </p>
            <p type="main">
              <s id="s.000356">
                <emph type="center"/>
              PROP. XXXVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000357">
                <emph type="center"/>
                <emph type="italics"/>
              Reijcitur difficultas contra præcedentem propoſitionem
                <lb/>
              adducta.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000358">SEd facili negotio inefficacia huius ratiocinij
                <expan abbr="oſtẽ-di">oſten­
                  <lb/>
                di</expan>
              poteſt, primò experientia, ſecundò ratione.
                <lb/>
              </s>
              <s id="s.000359">Quoad primum, ſuſpendatur vas aqueum AC duobus
                <lb/>
              filis AH, DL alligatis in extremitatibus eiuſdem li­
                <lb/>
              bræ HL radiorum æqualium, ſuſpendaturque libra
                <lb/>
              cum vaſe ab illius centro I, manifeſtum eſt, quando
                <lb/>
              aqua quieſcit, nec agitatur, ſi eri æquilibrium, quią
                <lb/>
              ſcilicèt centrum grauitatis M totius vaſis, & aquæ in-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>