Valerio, Luca, De centro gravitatis solidorum, 1604

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