Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/199.jpg" pagenum="20"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si hemiſphærium, vel hemiſphæroides vtcum­
                <lb/>
              que ab ſciſſum: & cylindrus, vel cylindri portio
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              illi circumſcripta: & conus, vel coni portio, cu­
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              ius baſis eſt eadem ſolido circumſcripto, hemi­
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              ſphærium, vel hemiſphæroides ad verticem
                <expan abbr="con-tingẽs">con­
                  <lb/>
                tingens</expan>
              , & communis axis; ſecentur vnoplano, baſi
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              hemiſphærij, vel hemiſphæroidis parallelo: ſuper
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              ſectiones autem prædicti coni, vel portionis coni­
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              cæ, & hemiſphærij, vel hemiſphæroidis, circa hu­
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              ius abſciſsæ portionis axem duo cylindri, vel por­
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              tiones cylindricæ conſtiterint; reliquum cylindri
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              vel portionis cylindricæ prædicto plano abſciſsæ,
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                <expan abbr="dẽpto">dempto</expan>
              eo cylindro
                <expan abbr="duorũ">duorum</expan>
              prædictorum, vel portio­
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              ne cylindrica, cuius baſis eſt ſectio hemiſphærij,
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              vel hemiſphæroidis, æquale erit reliquo cylindro,
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              vel portioni cylindricæ, cuius baſis eſt ſectio præ­
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              dicti coni, vel portionis conicæ. </s>
            </p>
            <p type="main">
              <s>Eſto hemiſphærium, vel hemiſphæroides ABC, cuius
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              axis BD, baſis circulus, vel ellipſis, cuius diameter AC.
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              </s>
              <s>Et ſolido ABC circumſcriptus cylindrus, vel portio cy­
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              lindrica, cuius baſes oppoſitæ erunt circuli, vel ſimiles elli­
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              pſes, quarum diametri eiuſdem rationis ADC, EF, la­
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              tera oppoſita parallelogrammi per axem AFGC: & ſu­
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              per baſim, cuius diameter EF, circa axim BD, deſcriptus
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              eſto conus, vel coni portio EDF. </s>
              <s>Iam tria ſolida ABC,
                <lb/>
              EDF, AC, ſecentur plano ſolidi ABC baſi parallelo,
                <lb/>
              quod ſecabit, & ſecet vnà figuras planas per axim BD </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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