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.002527">
                <pb pagenum="478" xlink:href="010/01/486.jpg"/>
                <arrow.to.target n="marg656"/>
                <lb/>
              mirùm moles fluidi æqualis ſolidi natantis parti de­
                <lb/>
              merſæ æquè ponderet, ac ſolidum ipſum, vera eſt,
                <lb/>
              niſi hypotheſis varietur, oportet enim ex vi hypo­
                <lb/>
              theſis vt ſolidum innatet ſupra vnum fluidum, nam ſi
                <lb/>
              omninò ſit demerſum intra rarius, & innatet ſuprą
                <lb/>
              aliud denſiùs fluidum propoſitio alteratur, vt docuit
                <lb/>
              præceptor meus Benedictus Caſtellus, qui demon­
                <lb/>
              ſtrauit, quod ferrum ſupra mercurium natans ſi aqua
                <lb/>
              quoque cooperiatur, tunc quidem altiùs eleuabitur,
                <lb/>
              quàm priùs; propterea quod pondus aquæ collate­
                <lb/>
              ralis auget magis hydrargyri compreſſionem, quam
                <lb/>
              ferri pondus augeat proindeque ferrum aliquantiſ­
                <lb/>
              per altiùs eleuat. </s>
            </p>
            <p type="margin">
              <s id="s.002528">
                <margin.target id="marg655"/>
                <expan abbr="Idẽ">Idem</expan>
              pr. 5.</s>
            </p>
            <p type="margin">
              <s id="s.002529">
                <margin.target id="marg656"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
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              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002530">Sed præterea animaduerti, quod alia de cauſą
                <lb/>
              prædictum æquilibrium alterari poteſt, nempè ex eo
                <lb/>
              quod aquæ libella circa ſolidum in ea natans, num­
                <lb/>
              quam præcisè explanatur, vt docuimus cap. 9. prop.
                <lb/>
              </s>
              <s id="s.002531">205. </s>
            </p>
            <p type="main">
              <s id="s.002532">Porrò vt aſcenſus, vel deſcenſus cylindrorum in­
                <lb/>
              æqualium baſium symptomata exponamus aliquæ
                <lb/>
              propoſitiones præmitti debent. </s>
            </p>
            <p type="main">
              <s id="s.002533">
                <emph type="center"/>
              PROP. CCXXXIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002534">
                <emph type="center"/>
                <emph type="italics"/>
              Si duo pondera inæqualia
                <expan abbr="ſuſpẽdũtur">ſuſpenduntur</expan>
              in extremitatibus dua­
                <lb/>
              rum librarum inæqualium, ſed æqualium radiorum, ve­
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              locitates reuolutionum earum ſubduplicatam proportio­
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              nem habebunt radiorum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002535">SInt duæ libræ inæquales CD, & FG, quarum
                <expan abbr="cẽ-tra">cen­
                  <lb/>
                tra</expan>
              bifariam eas ſecantia ſint E, & H, & idem ma­
                <lb/>
              ius pondus A ſuſpendatur primò in C, ſecundò in F, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>