Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/259.jpg" pagenum="80"/>
              CD, ita eſt EF ad GH; erit ex æquali vt A ad CD,
                <lb/>
              ad E ad GH: & conuertendo vt
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              CD ad A, ita GH ad E: & per­
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              mutando CD ad GH, ita A ad E.
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              </s>
              <s>Rurſus quoniam eſt vt A ad B ita
                <lb/>
              E ad F: & vt B ad D, ita F ad H;
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              erit ex æquali, vt A ad D ita E ad
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              H: ſed vt CD ad A, ita erat GH
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              ad E; ex æquali igitur erit vt CD ad
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              D ita GH ad H: & permutando vt
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              CD ad GH, ita D ad H, & reli­
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              qua C ad reliquam G: ſed vt CD
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              ad GH ita erat A ad E; vt igitur
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              A ad C ita erit E ad G. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <figure id="id.043.01.259.1.jpg" xlink:href="043/01/259/1.jpg" number="189"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO II.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si circa datæ hyperboles communem diame­
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              trum parabola deſcripta illius baſim ita diuidat,
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              vt quadratum dimidiæ baſis parabole ad reli­
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              quum quadrati dimidiæ baſis hyperboles eam
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              habeat proportionem, quam tranſuerſum latus
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              ad diametrum hyperboles; omnes in hyperbole
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              ad diametrum ordinatim applicatas ita ſecabit,
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              vt exceſſus, quibus quadrata in hyperbole appli­
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              catàrum ſuperant quadrata in parabola ex ſectio­
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              ne applicatarum, inter ſe ſint vt quadrata diame­
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              tri partium inter applicatas, & verticem inter­
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              iectarum. </s>
            </p>
            <p type="main">
              <s>Eſto hyperbole ABC, cuius diameter BD, tranſuer-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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