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

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