Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/197.jpg" pagenum="18"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſphæra, vel ſphæroides ſecetur duobus pla­
                <lb/>
              nis parallelis vtcumque, neutro per
                <expan abbr="cẽtrum">centrum</expan>
              ducto:
                <lb/>
              quædam autem ex centro recta linea tranſeat per
                <lb/>
              centrum alterutrius ſectionum; per centrum re­
                <lb/>
              liquæ tranſibit. </s>
            </p>
            <p type="main">
              <s>Sit ſphæra, vel ſphæroides ſectum duobus planis pa­
                <lb/>
              callelis vtcumque neutro per centrum ducto, quod ſit E:
                <lb/>
              per ſectionum autem, quæ ſunt circuli, vel ſimiles el­
                <lb/>
              lipſes, alterutrius centrum F tranſiens recta EFB oc­
                <lb/>
              currat reliquæ ſectionis plano in puncto G. </s>
              <s>Dico reli­
                <lb/>
              quæ ſectionis centrum eſſe G. </s>
              <s>Planum enim per OB ſe­
                <lb/>
                <figure id="id.043.01.197.1.jpg" xlink:href="043/01/197/1.jpg" number="146"/>
                <lb/>
              cans ſphæram, vel ſphæroides, faciensque ſectionem circu­
                <lb/>
              lum, vel ellipſim ABCD, ſecabit, & ſecet prædictas ſe­
                <lb/>
              ctiones, circulos inquam, vel ſimiles ellipſes parallelas, qua­
                <lb/>
              rum alterius centrum ponitur F. </s>
              <s>Faciatque ſectiones re­
                <lb/>
              ctas parallelas AFC, KGH: ſimiliter aliud quodlibet </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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