Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000148">
                <pb pagenum="5" xlink:href="023/01/017.jpg"/>
              quo ſcilicet ln, om conueniunt. </s>
              <s id="s.000149">Poſtremo in figura
                <lb/>
              aplqbrmsctnudxoy centrum grauitatis trian
                <lb/>
              guli pay, & trapezii ploy eſt in linea az: trapeziorum
                <lb/>
              uero lqxo, qbdx centrum eſt in linea zk: &
                <expan abbr="trapeziorũ">trapeziorum</expan>
                <lb/>
              brud, rmnu in k
                <foreign lang="grc">φ·</foreign>
              & denique trapezii mstn; & triangu
                <lb/>
              li sct in
                <foreign lang="grc">φ</foreign>
              c. </s>
              <s id="s.000150">quare magnitudinis ex his compoſitæ
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              in linea ac conſiſtit. </s>
              <s id="s.000151">Rurſus trianguli qbr, & trapezii ql
                <lb/>
              mr centrum eſt in linea b
                <foreign lang="grc">χ.</foreign>
              trapeziorum lpsm, pacs,
                <lb/>
              aytc, yont in linea
                <foreign lang="grc">χφ·</foreign>
                <expan abbr="trapeziiq;">trapeziique</expan>
              oxun, & trianguli
                <lb/>
              xdu centrum in
                <foreign lang="grc">ψ</foreign>
              d. </s>
              <s id="s.000152">totius ergo magnitudinis centrum
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              eſt in linea bd. </s>
              <s id="s.000153">ex quo ſequitur, centrum grauitatis figuræ
                <lb/>
              aplqbrmsctnudxoy eſſe
                <expan abbr="punctũ">punctum</expan>
              K, lineis ſcilicet ac,
                <lb/>
              bd commune, quæ omnia demonſtrare oportebat.</s>
            </p>
            <p type="margin">
              <s id="s.000154">
                <margin.target id="marg16"/>
              8. primi</s>
            </p>
            <p type="margin">
              <s id="s.000155">
                <margin.target id="marg17"/>
              33. primi</s>
            </p>
            <p type="margin">
              <s id="s.000156">
                <margin.target id="marg18"/>
              28. primi.</s>
            </p>
            <p type="margin">
              <s id="s.000157">
                <margin.target id="marg19"/>
              13. Archi
                <lb/>
              medis.</s>
            </p>
            <p type="margin">
              <s id="s.000158">
                <margin.target id="marg20"/>
              Vltima.</s>
            </p>
            <p type="head">
              <s id="s.000159">THEOREMA III. PROPOSITIO III.</s>
            </p>
            <p type="main">
              <s id="s.000160">Cuiuslibet portio­
                <lb/>
              nis circuli, & ellipſis,
                <lb/>
              quæ dimidia non ſit
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              maior, centrum graui
                <lb/>
              tatis in portionis dia­
                <lb/>
              metro conſiſtit.</s>
            </p>
            <figure id="id.023.01.017.1.jpg" xlink:href="023/01/017/1.jpg" number="9"/>
            <p type="main">
              <s id="s.000161">HOC eodem prorſus
                <lb/>
              modo demonſtrabitur,
                <lb/>
              quo in libro de centro gra
                <lb/>
              uitatis planorum ab Ar­
                <lb/>
              chimede
                <expan abbr="demonſtratũ">demonſtratum</expan>
              eſt,
                <lb/>
              in portione
                <expan abbr="cõtenta">contenta</expan>
              recta
                <lb/>
              linea, & rectanguli coni ſe
                <lb/>
              ctione grauitatis
                <expan abbr="cẽtrum">centrum</expan>
                <lb/>
              eſſe in diametro portio­
                <lb/>
              nis. </s>
              <s id="s.000162">Et ita demonſtrari po
                <lb/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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