Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/099.jpg" pagenum="12"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VIII.
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              </s>
            </p>
            <p type="main">
              <s>Si ſint tres magnitudines ſe ſe æqualiter exce­
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              dentes; & aliæ eiuſdem generis illis multitudine
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              æquales, binæque ſumptæ in duplicata primarum
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              proportione; erit vtriuſque ordinis minor pro­
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              portio compoſitæ ex primis ad compoſitam ex ſe­
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              cundis, quam compoſitæ ex ſecundis ad compoſi­
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              tam ex tertijs. </s>
            </p>
            <p type="main">
              <s>Sint tres magnitudines A, B, C, quarum C maxima
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              æque ſuperet B, atque
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              B, ipſam A. & totidem
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              eiuſdem generis D, E,
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              F, ſitque F ad E du­
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              plicata proportio ipſius
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              C ad B: & E ad D,
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              duplicata ipſius B ad
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              A. </s>
              <s>Dico AD, ſimul
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              ad BE, ſimul mino­
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              tem eſſe proportionem
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              quam BE, ſimul ad
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              CF, ſimul. </s>
              <s>Eſto enim
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              recta quæpiam GH,
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              ad aliam rectam ſibi in
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              directum poſitam HK,
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              vt magnitudo A ad ip
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              ſius F duplam (hoc
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              enim fieri poteſt) &
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                <figure id="id.043.01.099.1.jpg" xlink:href="043/01/099/1.jpg" number="73"/>
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              ſuper baſim GK; conſtituatur triangulum GLK, atque
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              in eo deſcribatur parallelogrammum GHMN: & vt eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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