Valerio, Luca, De centro gravitatis solidorum, 1604

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            <p type="main">
              <s>
                <pb xlink:href="043/01/115.jpg" pagenum="28"/>
              atque ideo & portionis baſibus parallelo; ſuper ſectionem,
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              quæ erit circulus maximus, cuius diameter LM, duo cylin­
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              dri deſcripti intelligantur, ad oppoſita portionis baſium pla
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              na terminati ex illis autem totus cylindrus compoſitus EF,
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              cuius baſis æqua­
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              lis circulo maxi­
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              mo LM. </s>
              <s>Deinde
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              in ſegmento GH
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              ſumpta OH, ter­
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              tia parte minoris
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              extremæ maiori
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              GH in proportio
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              ne, quæ eſt LG ad
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              GH; & in ſegmen
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              to GK, ſumatur
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                <figure id="id.043.01.115.1.jpg" xlink:href="043/01/115/1.jpg" number="87"/>
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              NK, tertia pars minoris extremæ maiori GK, in propor­
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              tione, quæ eſt LG ad GK. </s>
              <s>Dico portionem ABCD
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              ad cylindrum EF, eſse vt NO ad KH. </s>
              <s>Sumptis enim
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              ijſdem, quæ in præcedentis ſumpſimus, demonſtrationem
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              ſimiliter oſtenderemus tam portionem LBCM ad cy­
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              lindrum EF, eſse vt OG ad
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              H, quam portionem LA
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              DM ad eundem EF cylindrum, vt NG ad eundem axim
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              KH, vt igitur prima cum quinta ad ſecundam, ita tertia
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              cum ſexta ad quartam: videlicet, vt NO ad KH, ita por
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              tio ABCD ad EF cylindrum. </s>
              <s>Quod demonſtrandum
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              crat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omne conoides parabolicum dimidium eſt
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              cylindri, coni autem ſeſquialterum eandem ipſi
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              baſim, & eandem altitudinem habentium. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>