Valerio, Luca, De centro gravitatis solidorum, 1604

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/104.jpg" pagenum="17"/>
              ipſarum AC, CB, & quadratis ex AC CB, æqualia ſi­
                <lb/>
              mul ei, quod ter fit ex AB, BC, CA, hoc eſt ei, quod
                <lb/>
              partibus AC CB, & totius AB tripla continetur: additis
                <lb/>
              igitur communibus duobus cubis ex AC, CB, erit id, quod
                <lb/>
              ſit ex AC CB, & tripla ipſius AB, & duo cubi ex AC
                <lb/>
              CB, æqualia duobus ſolidis, quæ fiunt reciproce ex triplis
                <lb/>
              ipſarum AC, CB, & earundem AC, CB, quadratis, &
                <lb/>
              duobus cubis ex AC, CB, hoc eſt cubo ex AC. </s>
              <s>Si igi­
                <lb/>
              tur recta linea vtcumque ſecta fuerit, &c. </s>
              <s>Quod demon­
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              ſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hemiſphærium duplum eſt coni, cylindri au­
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              tem ſubſeſquialterum eandem ipſi baſim, & ean­
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              dem altitudinem habentium. </s>
            </p>
            <p type="main">
              <s>Eſto hemiſphærium; cuius axis BD, baſis circulus, cu­
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              ius diameter AC, ſuper quem cylindrus AE, & conus
                <lb/>
                <figure id="id.043.01.104.1.jpg" xlink:href="043/01/104/1.jpg" number="77"/>
                <lb/>
              ABC, quorum communis axis ſit BD, ac propterea
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              etiam eadem altitudo. </s>
              <s>Dico hemiſphærium ABC, co­
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              ni ABC eſse duplum: cylindri autem AE
                <expan abbr="ſubſeſquialterũ">ſubſeſquialterum</expan>
              .
                <lb/>
              </s>
              <s>ſuper baſim enim circulum RE, vertice D deſcribatur </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>