Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000482">
                <pb xlink:href="023/01/054.jpg"/>
              ut altitudo ad altitudinem: & componendo conuertendo
                <lb/>
                <arrow.to.target n="marg55"/>
                <lb/>
              que ſolidum abgh, hoc eſt ſolidum abcd ipſi æquale, ad
                <lb/>
              ſolidum abef, ut altitudo ſolidi abcd ad ſolidi abef al­
                <lb/>
              titudinem.</s>
            </p>
            <p type="margin">
              <s id="s.000483">
                <margin.target id="marg53"/>
              29. unde­
                <lb/>
              cimi</s>
            </p>
            <p type="margin">
              <s id="s.000484">
                <margin.target id="marg54"/>
              18. huius</s>
            </p>
            <p type="margin">
              <s id="s.000485">
                <margin.target id="marg55"/>
              7. quinti.</s>
            </p>
            <p type="main">
              <s id="s.000486">Sint ſolida parallelopipeda ab, cd in æqualibus baſibus
                <lb/>
              conſtituta:
                <expan abbr="ſitq;">ſitque</expan>
              be altitudo ſolidi ab: & ſolidi cd altitudo
                <lb/>
              d f; quæ quidem maior ſit, quàm be. </s>
              <s id="s.000487">Dico ſolidum ab ad
                <lb/>
              ſolidum cd eandem habere proportionem, quam be ad
                <lb/>
              d f. </s>
              <s id="s.000488">abſcindatur enim à linea df æqualis ipſi be, quæ ſit gf:
                <lb/>
              & per g ducatur planum ſecans ſolidum cd; quod baſibus
                <lb/>
              æquidiſtet,
                <expan abbr="faciatq;">faciatque</expan>
                <expan abbr="ſectionẽ">ſectionem</expan>
              hK. </s>
              <s id="s.000489">erunt ſolida ab, ck æque
                <lb/>
                <arrow.to.target n="marg56"/>
                <lb/>
                <figure id="id.023.01.054.1.jpg" xlink:href="023/01/054/1.jpg" number="45"/>
                <lb/>
              alta inter
                <lb/>
              ſe æqualia
                <lb/>
                <expan abbr="cũ">cum</expan>
              æqua­
                <lb/>
              les baſes
                <lb/>
              habeant. </s>
              <lb/>
              <s id="s.000490">
                <arrow.to.target n="marg57"/>
                <lb/>
              Sed
                <expan abbr="ſolidũ">ſolidum</expan>
                <lb/>
              hd ad ſoli
                <lb/>
              dum cK
                <lb/>
              eſt, ut alti
                <lb/>
              tudo dg
                <lb/>
              ad gf
                <expan abbr="alti­tudinẽ">alti­
                  <lb/>
                tudinem</expan>
              ; ſe
                <lb/>
              catur enim ſolidum cd plano baſi
                <lb/>
                <figure id="id.023.01.054.2.jpg" xlink:href="023/01/054/2.jpg" number="46"/>
                <lb/>
              bus æquidiſtante: & rurſus
                <expan abbr="cõpo-nende">compo­
                  <lb/>
                nende</expan>
              ,
                <expan abbr="conuertendoq;">conuertendoque</expan>
                <expan abbr="ſolidũ">ſolidum</expan>
              ck
                <lb/>
                <arrow.to.target n="marg58"/>
                <lb/>
              ad ſolidum cd, ut gf ad fd. </s>
              <s id="s.000491">ergo
                <lb/>
              ſolidum ab, quod eſt æquale ipſi
                <lb/>
              ck ad ſolidum cd eam proportio
                <lb/>
              nem habet, quam altitudo gf, hoc
                <lb/>
              eſt be ad df altitudinem.</s>
            </p>
            <p type="margin">
              <s id="s.000492">
                <margin.target id="marg56"/>
              31. unde
                <lb/>
              cimi</s>
            </p>
            <p type="margin">
              <s id="s.000493">
                <margin.target id="marg57"/>
              18. huius</s>
            </p>
            <p type="margin">
              <s id="s.000494">
                <margin.target id="marg58"/>
              7. quinti.</s>
            </p>
            <p type="main">
              <s id="s.000495">Sint deinde ſolida parallelepipe
                <lb/>
              da ab, ac in eadem baſi; quorum
                <lb/>
              axes de, ſ e cum ipſa æquales angu</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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