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

Table of figures

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[81. Figure]
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[90. Figure]
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[96. Figure]
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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000890">
                <pb pagenum="175" xlink:href="010/01/183.jpg"/>
                <arrow.to.target n="marg224"/>
                <lb/>
              gnei FE in aqua demerſi ſemper eadem eſt, nec po­
                <lb/>
              teſt vnquam diminui, cùm ſit æqualis vi illius ponde­
                <lb/>
              ris, quod ſufficit ad prohibendum
                <expan abbr="aſcẽſum">aſcenſum</expan>
              prædicto
                <lb/>
              ligno FE (vt conſtat ex Archimede) & è contrà pon­
                <lb/>
              dus incumbentis cylindri aquei IKGF poteſt ſucceſ­
                <lb/>
                <arrow.to.target n="marg225"/>
                <lb/>
              ſiuè diminui in infinitum prout eius altitudo IF dimi­
                <lb/>
              nuta fuerit, ſublata nimirum aqna è vaſe ABD. fiat
                <lb/>
              igitur vis ponderis aquæ IG minor energia leuitatis
                <lb/>
              ligni FE, ſcilicèt minor ſit pondere P, quia verò mi­
                <lb/>
              nor vis ſuperari à maiori debet, igitur neceſſariò
                <lb/>
              pondus P deprimet radium libræ NO, ſuperabitque
                <lb/>
              reſiſtentiam diminutæ aquæ IG ſuſpenſæ in altera li­
                <lb/>
              bræ extremitate M, ſcilicèt lignum FE (quod tange­
                <lb/>
              re orificium vaſis HE ſupponebatur) ſursùm aſcen­
                <lb/>
              det in ipſa aqua vi maioris ſuæ leuitatis, ſed hoc eſt
                <lb/>
              falſum, & contra ſenſus euidentiam, numquam enim
                <lb/>
              prædictus cylindius ligneus fundum deſerit, nec ſur­
                <lb/>
              sùm aſcendit; ſi tamen ſemper orificio BC inſiſtat,
                <lb/>
              nec incutiatur vt ad latus fundi baſis transferatur, vbi
                <lb/>
              maior eius baſis pars inſiſtit fundo ſtabili putei, vel
                <lb/>
              cylindrus ipſe tranſuersè flectatur. </s>
              <s id="s.000891">Igitur verum
                <expan abbr="">non</expan>
                <lb/>
              eſt lignum FE exercere nè minimum gradum impe­
                <lb/>
              tus leuitatis. </s>
            </p>
            <p type="margin">
              <s id="s.000892">
                <margin.target id="marg224"/>
              Cap 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000893">
                <margin.target id="marg225"/>
              De inſidét.
                <lb/>
              </s>
              <s id="s.000894">fluido lib. 1.
                <lb/>
              prop. 6.</s>
            </p>
            <p type="main">
              <s id="s.000895">
                <emph type="center"/>
              PROP. LXXXV.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000896">
                <emph type="center"/>
                <emph type="italics"/>
              Aliter idipſum demonstrare.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000897">IIſdem poſitis intelligatur præterea quòd vis leui­
                <lb/>
              tatis prædicti ligni, ſcilicèt pondus P æqualis ſit </s>
            </p>
          </chap>
        </body>
      </text>
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