Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/207.jpg" pagenum="28"/>
              cylindri, vel portionis cylindricæ AE reliquum dempto
                <lb/>
              hemiſphærio, vel hemiſphæroide ABC æquale eſt cono,
                <lb/>
              vel portioni conicæ ABC: & cylindrus, vel portio cylin­
                <lb/>
              drica AE tripla eſt co­
                <lb/>
              ni, vel portionis conicæ
                <lb/>
              ABC; triplus itidem
                <lb/>
              erit cylindrus, vel cylin
                <lb/>
              drica portio AE dicti
                <lb/>
              reſidui dempto hemi­
                <lb/>
              ſphærio, vel hemiſphæ­
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              roide ABC; ac propte­
                <lb/>
              rea hemiſphærij, vel he­
                <lb/>
                <figure id="id.043.01.207.1.jpg" xlink:href="043/01/207/1.jpg" number="153"/>
                <lb/>
              miſphæroidis ABC
                <lb/>
              ſeſquialter, hoc eſt hemiſphærium, vel hemiſphæroides
                <lb/>
              ABC cylindri, vel portionis cylindricæ AE ſubſeſquial­
                <lb/>
              terum. </s>
              <s>Quod erat demonſtrandum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis minor portio ſphæræ, vel ſphæroidis ad
                <lb/>
              cylindrum, vel cylindri portionem, cuius baſis
                <lb/>
              æqualis eſt circulo maximo, vel æqualis, & ſimi­
                <lb/>
              lis ellipſi per centrum baſi portionis parallelæ,
                <lb/>
              & eadem altitudo portioni; eam habet proportio­
                <lb/>
              nem, quam rectangulum contentum ſphæræ, vel
                <lb/>
              ſphæroidis dimidij axis axi portionis congruen­
                <lb/>
              tis ijs, quæ à centro baſis portionis fiunt
                <expan abbr="ſegmētis">ſegmentis</expan>
              ,
                <lb/>
              vnà cum duobus tertiis quadrati axis portionis; ad
                <lb/>
              ſphæræ, vel ſphæroidis dimidij axis quadratum. </s>
            </p>
            <p type="main">
              <s>Sit minor portio ABC, ſphæræ, vel ſphæroidis, cuius
                <lb/>
              centrum D, axis autem axi portionis congruens BEDR: </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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