Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="22" xlink:href="023/01/051.jpg"/>
            <p type="margin">
              <s id="s.000455">
                <margin.target id="marg48"/>
              per 2. pe­
                <lb/>
              titionem</s>
            </p>
            <p type="margin">
              <s id="s.000456">
                <margin.target id="marg49"/>
              4 Archi­
                <lb/>
              medis.</s>
            </p>
            <p type="main">
              <s id="s.000457">Ex demonſtratis perſpicue apparet, portioni
                <lb/>
              ſphæræ uel ſphæroidis, quæ dimidia maior eſt,
                <expan abbr="cẽ">cen</expan>
                <lb/>
              trum grauitatis in axe conſiſtere.</s>
            </p>
            <figure id="id.023.01.051.1.jpg" xlink:href="023/01/051/1.jpg" number="40"/>
            <p type="main">
              <s id="s.000458">Data enim
                <lb/>
              qualibet maio
                <lb/>
              ri
                <expan abbr="portiõe">portione</expan>
              , quo
                <lb/>
                <expan abbr="niã">niam</expan>
              totius ſphæ
                <lb/>
              ræ, uel ſphæroi
                <lb/>
              dis grauitatis
                <lb/>
              centrum eſt in
                <lb/>
              axe; eſt autem
                <lb/>
              & in axe cen­
                <lb/>
              trum portio­
                <lb/>
              nis minoris:
                <lb/>
              reliquæ portionis uidelicet maioris centrum in axe neceſ­
                <lb/>
              ſario conſiſtet.</s>
            </p>
            <p type="head">
              <s id="s.000459">THEOREMA XIII. PROPOSITIO XVII.</s>
            </p>
            <figure id="id.023.01.051.2.jpg" xlink:href="023/01/051/2.jpg" number="41"/>
            <p type="main">
              <s id="s.000460">Cuiuslibet pyramidis
                <expan abbr="triãgularem">trian
                  <lb/>
                gularem</expan>
              baſim
                <expan abbr="habẽtis">habentis</expan>
              gra
                <lb/>
              uitatis centrum eſt in pun­
                <lb/>
              cto, in quo ipſius axes con­
                <lb/>
              ueniunt.</s>
            </p>
            <p type="main">
              <s id="s.000461">Sit pyramis, cuius baſis trian
                <lb/>
              gulum abc, axis de:
                <expan abbr="ſitq;">ſitque</expan>
              trian
                <lb/>
              guli bdc grauitatis centrum f:
                <lb/>
              & iungatur a ſ. </s>
              <s id="s.000462">erit & af axis eiuſ
                <lb/>
              dem pyramidis ex tertia diffini­
                <lb/>
              tione huius. </s>
              <s id="s.000463">Itaque quoniam centrum grauitatis eſt in
                <lb/>
              axe de; eſt autem & in axe af; q̀uod proxime demonſtraui </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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