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.000722">
                <pb pagenum="143" xlink:href="010/01/151.jpg"/>
                <arrow.to.target n="marg178"/>
                <lb/>
              mirùm efficiatur vertex eius aliquo pacto rotundus,
                <lb/>
              & contornatus, niſi adfuerit noua alia cauſa motum
                <lb/>
              eius accelerans, à qua proindè eius vertex acumi­
                <lb/>
              nari poteſt, vt ſuperiùs dictum eſt.
                <lb/>
                <arrow.to.target n="marg179"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000723">
                <margin.target id="marg178"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
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              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000724">Pergamus modò ad poſtremam difficultatem ab
                <lb/>
              eodem authore allatam. </s>
              <s id="s.000725">inquit enim:
                <emph type="italics"/>
              ſint duæ pilæ
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000726">
                <arrow.to.target n="marg180"/>
                <lb/>
                <emph type="italics"/>
              æneæ, vna ſolida exigui ponderis, altera maioris, ſed reple­
                <lb/>
              ta incluſo aere, hæſine dubio aſcendit ſuper aquam, non
                <lb/>
              item minor, ſi ergo aqua deorsùm tendens exprimit
                <expan abbr="alterã">alteram</expan>
                <lb/>
              pilam, cur non reliquam? </s>
              <s id="s.000727">non igitur pila mouetur ſursùm,
                <lb/>
              quia exprimitur, ſed quia in ſe habet aerem natura ſua le­
                <lb/>
              uem.
                <emph.end type="italics"/>
              </s>
              <s id="s.000728"> Et huic profectò argumento nil aliud reſponde­
                <lb/>
              re poſſum, ſed tantùm monere authorem eius ſe noņ
                <lb/>
                <arrow.to.target n="marg181"/>
                <lb/>
              eſſe ſatis memorem doctrinæ Archimedis, ex quą
                <lb/>
              deducitur ingentem pilam æneam excauatam, & ae­
                <lb/>
              re plenam minùs ponderare, quàm moles aquæ ei æ­
                <lb/>
              qualis, & ideò grauitas aquæ maior velut in librą
                <lb/>
              ſursùm eleuare debet minus pondus prædictæ pilæ
                <lb/>
              æne-aereæ, cum verò comparatur ænea pila ſolida
                <lb/>
              licèt paruula ſit, illa tamen grauior eſt multò magis,
                <lb/>
              quàm ſit moles aquæ huic pilulæ æqualis, cùmque
                <lb/>
              comparatio fieri debeat inter duas moles æquales
                <lb/>
              ſolidi nempè demerſæ pilæ æneæ
                <expan abbr="">cum</expan>
              mole fluidi am­
                <lb/>
              bientis ei æquali, quia exceſſus ponderis penès pi­
                <lb/>
              lam
                <expan abbr="æneã">æneam</expan>
              exiſtit, neceſſariò maior eius grauitas præ­
                <lb/>
              ualebit, ideòque mergetur, & ad fundum deſcendet,
                <lb/>
              ex quo patet prædictum argumentum non probarę
                <lb/>
              pilam ęne-aeream vim leuitatis in ſe habere. </s>
            </p>
            <p type="margin">
              <s id="s.000729">
                <margin.target id="marg180"/>
              Eiuſdem
                <lb/>
              authoris no­
                <lb/>
              ua difficul­
                <lb/>
              tas.</s>
            </p>
            <p type="margin">
              <s id="s.000730">
                <margin.target id="marg181"/>
              Sed reijci­
                <lb/>
              tur.</s>
            </p>
            <p type="main">
              <s id="s.000731">Tandem operępretium erit diſſoluere nouas diffi-</s>
            </p>
          </chap>
        </body>
      </text>
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