Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/022.jpg" pagenum="14"/>
            <p type="main">
              <s>Sit quælibet figura plana A. </s>
              <s>Dico figuræ A, rectan­
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              gulum æquale poſse exiſtere. </s>
              <s>Exponatur enim rectan­
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              gulum BC, cuius latus BD, in infinitum producatur
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              verſus E. </s>
              <s>Quoniam igitur eſt vt rectangulum BD, ad
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              planam figuram A, ita recta BD, ad aliquam lineam
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              rectam ſit vt BC, ad A, ita BD, ad DE, & comple­
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              atur rectan­
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              gulum EC.
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              </s>
              <s>Quoniam igi
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              tur eſt vt BD
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              ad DE, ita
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              rectangulum
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              BC, ad figu­
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              ram A: ſed
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              vt BD, ad
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              DE, ita eſt
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                <figure id="id.043.01.022.1.jpg" xlink:href="043/01/022/1.jpg" number="11"/>
                <lb/>
              rectangulum BC, ad rectangulum CE; vt igitur re­
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              ctangulum BC, ad figuram A, ita eſt rectangulum
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              BC, ad rectangulum CE; rectangulum ergo CE, fi­
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              guræ A, æquale erit. </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omni figuræ circa diametrum in alte ram par­
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              tem deficienti figura quædam ex parallelogram­
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              mis æqualium altitudinum inſcribi poteſt, & al­
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              tera circumſcribi, ita vt circumſcripta ſuperet in­
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              ſcriptam minori ſpacio quantacumque magnitu­
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              dine propoſita. </s>
              <s>Semper autem in ſimilibus intelli­
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              ge, eiuſdem generis. </s>
            </p>
            <p type="main">
              <s>Sit figura plana ABC circa diametrum AD, ad par-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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