Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000404">
                <pb pagenum="18" xlink:href="023/01/043.jpg"/>
              tione quarta Apollonius demonſtrauit. </s>
              <s id="s.000405">Si igitur à ſingu­
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              lis horum circulorum, duo cylindri fiant; unus quidem ad
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              baſis partes; alter ad partes uerticis: inſcripta erit in co­
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              no ſolida quædam figura, & altera circumſcripta ex cylin­
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              dris æqualem altitudinem habentibus conſtans; quorum
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                <figure id="id.023.01.043.1.jpg" xlink:href="023/01/043/1.jpg" number="32"/>
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              unuſquiſque, qui in
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              figura inſcripta con­
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              tinetur æqualis eſt ei,
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              qui ab eodem fit cir­
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              culo in figura
                <expan abbr="circũ-ſcripta">circum­
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                ſcripta</expan>
              . </s>
              <s id="s.000406">Itaque cylin
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              drus op æqualis eſt
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              cylindro on; cylin­
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              drus rs
                <expan abbr="cylĩdro">cylindro</expan>
              rq.</s>
              <lb/>
              <s id="s.000407"> cylindrus ux cylin­
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              dro ut eſt æqualis;
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              & alii aliis ſimiliter. </s>
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              <s id="s.000408">quare conſtat
                <expan abbr="circũ-ſcriptam">circum­
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                ſcriptam</expan>
              figuram ſu­
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              perare inſcriptam cy
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              lindro, cuius baſis eſt
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              circulus circa diametrum ac, & axis de. </s>
              <s id="s.000409">atque hic eſt mi­
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              nor ſolida magnitudine propoſita.</s>
            </p>
            <p type="head">
              <s id="s.000410">PROBLEMA III. PROPOSITIO XII.</s>
            </p>
            <p type="main">
              <s id="s.000411">DATA coni portione, poteſt ſolida quædam
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              figura inſcribi, & altera circumſcribi ex cylindri
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              portionibus æqualem altitudinem habentibus;
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              ita ut circumſcripta inſcriptam exuperet, magni
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              tudine, quæ minor fit ſolida magnitudine pro­
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              poſita.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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