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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000985">
                <pb pagenum="192" xlink:href="010/01/200.jpg"/>
                <arrow.to.target n="marg252"/>
                <lb/>
              mentis raritatis eiuſdem corporis. </s>
            </p>
            <p type="margin">
              <s id="s.000986">
                <margin.target id="marg249"/>
              Intenſiuè
                <lb/>
              verò rarefa­
                <lb/>
              ciendo id in
                <lb/>
              corpus.</s>
            </p>
            <p type="margin">
              <s id="s.000987">
                <margin.target id="marg250"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000988">
                <margin.target id="marg251"/>
              Incrementa
                <lb/>
                <expan abbr="leuitatũ">leuitatum</expan>
              pro­
                <lb/>
              portionalia
                <lb/>
                <expan abbr="sũt">sunt</expan>
                <expan abbr="incremẽ-tis">incremen­
                  <lb/>
                tis</expan>
              raritatum
                <lb/>
              eiuſdem cor­
                <lb/>
              poris
                <expan abbr="eius-dẽque">eius­
                  <lb/>
                demque</expan>
              molis,
                <lb/>
              &
                <expan abbr="mẽsuran-tur">mensuran­
                  <lb/>
                tur</expan>
              à vi
                <expan abbr="põderum">ponde­
                  <lb/>
                rum</expan>
                <expan abbr="prohibantiũ">prohi­
                  <lb/>
                bentium</expan>
              eleua­
                <lb/>
              tiones.</s>
            </p>
            <p type="margin">
              <s id="s.000989">
                <margin.target id="marg252"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000990">Hinc inferri licet, quòd ſi raritas non eſt cauſa ef­
                <lb/>
              fectiua, motus ſursùm, ſeù leuitatis, requiritur
                <expan abbr="ſaltẽ">ſaltem</expan>
                <lb/>
              raritas tamquam affectio neceſſaria, ſine qua leuitas
                <lb/>
                <arrow.to.target n="marg253"/>
                <lb/>
              minimè augeri poteſt, ſed oportet vt raritates in ali­
                <lb/>
              quo medio fluido conſiderentur, non autem abſolu­
                <lb/>
              tè, & in vacuo. </s>
            </p>
            <p type="margin">
              <s id="s.000991">
                <margin.target id="marg253"/>
              Si raritas
                <expan abbr="nõ">non</expan>
                <lb/>
              eſt causa aſ­
                <lb/>
              cenſus
                <expan abbr="leuiũ">leuium</expan>
              ,
                <lb/>
              requiritur
                <lb/>
                <expan abbr="tamẽ">tamen</expan>
              neceſ­
                <lb/>
              ſariò</s>
            </p>
            <p type="main">
              <s id="s.000992">
                <emph type="center"/>
              PROP. XCIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000993">
                <emph type="center"/>
                <emph type="italics"/>
              Reperire modò poſſumus corpus, quod in dato fluido aſcendat
                <lb/>
              tanta vi ſursùm, quæ ſuperet quamcumque finitam
                <lb/>
              vim.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000994">SIt vas ABC
                <expan abbr="repleaturq;">repleaturque</expan>
              flui­
                <lb/>
                <figure id="id.010.01.200.1.jpg" xlink:href="010/01/200/1.jpg" number="74"/>
                <lb/>
              do M quod ſit aqua, vel hy­
                <lb/>
              drargyrum, & ſit quælibet va­
                <lb/>
              ſta vis motiua R. debet reperiri
                <lb/>
              corpus, quod in prædicto fluido
                <lb/>
              innatet, atque ab eius
                <expan abbr="fũdo">fundo</expan>
              ſur­
                <lb/>
              sum aſcendat tanta vi, & energia
                <lb/>
              vt ſuperet vim datam R. ſuma­
                <lb/>
              tur cylindrus DE cuiuſcumque
                <lb/>
              ſolidæ materiei conſiſtentiſque,
                <lb/>
              earum tamen, quæ in prædicto fluido M innatant,
                <lb/>
              et vis qua corpus DE aſcendit è fundo fluidi M ſit S:
                <lb/>
              poſtea (ex duabus præcedentibus propoſitionibus)
                <lb/>
              reperiatur cylindrus excauatus FG, cuius externą
                <lb/>
              figura ſit æqualis, & ſimilis ipſi DE, itaut raritas ab­
                <lb/>
              ſoluta ipſius FG ad
                <expan abbr="raritatẽ">raritatem</expan>
              alterius DE
                <expan abbr="maiorẽ">maiorem</expan>
              pro-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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