Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000346">
                <pb pagenum="15" xlink:href="023/01/037.jpg"/>
              bere proportionem, quam ſpacium gh ad
                <expan abbr="dictã">dictam</expan>
                <lb/>
              figuram, hoc modo demonſtrabimus.</s>
            </p>
            <p type="main">
              <s id="s.000347">Intelligatur circulus, uel ellipſis x æqualis figuræ rectili­
                <lb/>
              neæ in gh ſpacio deſcriptæ. </s>
              <s id="s.000348">& ab x conſtituatur conus, uel
                <lb/>
                <figure id="id.023.01.037.1.jpg" xlink:href="023/01/037/1.jpg" number="27"/>
                <lb/>
              coni portio,
                <expan abbr="altitudinẽ">altitudinem</expan>
              habens
                <expan abbr="eandẽ">eandem</expan>
              ,
                <expan abbr="quã">quam</expan>
              cylindrus uel cy
                <lb/>
              lindri portio ce. </s>
              <s id="s.000349">Sit deinde rectilinea figura, in qua y
                <expan abbr="eadẽ">eadem</expan>
              ,
                <lb/>
              quæ in ſpacio gh deſcripta eſt: & ab hac pyramis æquealta
                <lb/>
              conſtituatur. </s>
              <s id="s.000350">Dico
                <expan abbr="conũ">conum</expan>
              uel coni portione x pyramidi y
                <expan abbr="æ-qualẽ">æ­
                  <lb/>
                qualem</expan>
              eſſe. </s>
              <s id="s.000351">niſi enim ſit æqualis, uel maior, uel minor erit.</s>
            </p>
            <p type="main">
              <s id="s.000352">Sit primum maior, et exuperet ſolido z. </s>
              <s id="s.000353">Itaque in circu
                <lb/>
              lo, uel ellipſi x deſcribatur figura rectilinea; & in ea pyra­
                <lb/>
              mis eandem, quam conus, uel coni portio altitudinem ha­
                <lb/>
              bens, ita ut portiones relictæ minores ſint ſolido a, quem­
                <lb/>
              admodum docetur in duodecimo libro elementorum pro
                <lb/>
              poſitione undecima. </s>
              <s id="s.000354">erit pyramis x adhuc pyramide y ma
                <lb/>
              ior. </s>
              <s id="s.000355">& quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
                <lb/>
                <arrow.to.target n="marg46"/>
                <lb/>
              ſes; pyramis x ad piramidem y eandem proportionem ha­
                <lb/>
              bet, quàm figura rectilinea x ad figuram y. </s>
              <s id="s.000356">Sed figura recti </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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