Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="19" xlink:href="023/01/045.jpg"/>
            <figure id="id.023.01.045.1.jpg" xlink:href="023/01/045/1.jpg" number="34"/>
            <p type="head">
              <s id="s.000416">THEOREMA X. PROPOSITIO XIIII.</s>
            </p>
            <p type="main">
              <s id="s.000417">Cuiuslibet pyramidis, & cuiuslibet coni, uel
                <lb/>
              coni portionis, centrum grauitatis in axe
                <expan abbr="cõſiſtit">conſiſtit</expan>
              .</s>
            </p>
            <p type="main">
              <s id="s.000418">SIT pyramis, cuius baſis triangulum abc: & axis de. </s>
              <lb/>
              <s id="s.000419">Dico in linea de ipſius grauitatis centrum ineſſe. </s>
              <s id="s.000420">Si enim
                <lb/>
              fieri poteſt, ſit centrum f: & ab f ducatur ad baſim pyrami
                <lb/>
              dis linea fg, axi æquidiſtans:
                <expan abbr="iunctaq;">iunctaque</expan>
              eg ad latera trian­
                <lb/>
              guli abc producatur in h. </s>
              <s id="s.000421">quam uero proportionem ha­
                <lb/>
              bet linea he ad eg, habeat pyramis ad aliud ſolidum, in
                <lb/>
              quo K:
                <expan abbr="inſcribaturq;">inſcribaturque</expan>
              in pyramide ſolida figura, & altera cir
                <lb/>
              cumſcribatur ex priſmatibus æqualem habentibus altitu­
                <lb/>
              dinem, ita ut circumſcripta inſcriptam exuperet magnitu­
                <lb/>
              dine, quæ ſolido k ſit minor. </s>
              <s id="s.000422">Et quoniam in pyramide pla
                <lb/>
              num baſi æquidiſtans ductum ſectionem facit figuram ſi­
                <lb/>
              milem ei, quæ eſt baſis;
                <expan abbr="centrumq;">centrumque</expan>
              grauitatis in axe haben
                <lb/>
              tem: erit priſmatis st grauitatis
                <expan abbr="centrũ">centrum</expan>
              in linea rq ;
                <lb/>
              matis ux centrum in linea qp, priſmatis yz in linea po;
                <lb/>
              priſmatis
                <foreign lang="grc">ηθ</foreign>
              in linea on; priſmatis
                <foreign lang="grc">λμ</foreign>
              in linea nm; priſ­
                <lb/>
              matis
                <foreign lang="grc">νπ</foreign>
              in ml; & denique priſmatis
                <foreign lang="grc">ρσ</foreign>
              in le. </s>
              <s id="s.000423">quare </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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