Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/044.jpg" pagenum="36"/>
              E, in recta linea, quæ iungit centra D, G; tria igitur pun­
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              cta D, E, G, ſunt in eadem recta linea. </s>
              <s>in qua igitur ſunt
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              puncta D, E, in eadem eſt punctum G; ſed puncta D, E, ſunt
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              in recta DH; igitur & punctum G, erit in recta DH: ſed
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              extra ipſam DE, vt modo oſtendimus, in reliqua igitur
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              EH. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sit totum quoduis planum ſit vni parti concen
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              tricum ſecundum centrum grauitatis, & reliquæ
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              erit concentricum. </s>
              <s>Et ſi partes inter ſe ſint con­
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              centricæ, & toti erunt concentricæ. </s>
            </p>
            <p type="main">
              <s>Sit totum quoduis planum AB, quod cum vna parte
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              AC habeat commune centrum grauitatis E. </s>
              <s>Dico & re­
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              liquæ partis CD, eſse
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              idem centrum grauitatis
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              E. </s>
              <s>Si enim illud non
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              eſt, erit aliud; eſto F, &
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              EF iungatur. </s>
              <s>Quoniam
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              igitur partium AC, CD,
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              centra grauitatis ſunt E,
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              F; erit totius AB, in re­
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              cta EF, centrum graui­
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              tatis: ſed & in puncto E,
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              vnius ergo magnitudinis
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              duo centra grauitatis e­
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              runt. </s>
              <s>Quod eſt abſurdum;
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                <figure id="id.043.01.044.1.jpg" xlink:href="043/01/044/1.jpg" number="26"/>
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              idem igitur E erit centrum grauitatis vtriuslibet partium
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              AC, CD. </s>
              <s>Sed vtriuslibet partium AC, CD, ſit cen­
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              trum grauitatis E. </s>
              <s>Dico idem E totius AB, eſse cen-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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