Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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      <text>
        <body>
          <chap>
            <p type="main">
              <pb pagenum="8" xlink:href="023/01/023.jpg"/>
              <s id="s.000215">æquidiſtant autem cgo, mnp. </s>
              <s id="s.000216">ergo
                <expan abbr="parallelogrãma">parallelogramma</expan>
              ſunt
                <lb/>
              on, gm, & linea mn æqualis cg; & np ipſi go. </s>
              <s id="s.000217">aptatis igi­
                <lb/>
              tur klm, abc
                <expan abbr="triãgulis">triangulis</expan>
              , quæ æqualia & ſimilia
                <expan abbr="sũt">sunt</expan>
              ; linea mp
                <lb/>
              in co, & punctum n in g cadet. </s>
              <s id="s.000218">Quòd
                <expan abbr="cũ">cum</expan>
              g ſit centrum gra­
                <lb/>
              uitatis trianguli abc, & n trianguli klm grauitatis cen­
                <lb/>
              trum erit id, quod demonſtrandum relinquebatur. </s>
              <s id="s.000219">Simili
                <lb/>
              ratione idem contingere demonſtrabimus in aliis priſma­
                <lb/>
              tibus, ſiue quadrilatera, ſiue plurilatera habeant plana,
                <lb/>
              quæ opponuntur.</s>
            </p>
            <p type="margin">
              <s id="s.000220">
                <margin.target id="marg24"/>
              16. unde­
                <lb/>
              cimi</s>
            </p>
            <p type="margin">
              <s id="s.000221">
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              34. primi</s>
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            <p type="margin">
              <s id="s.000222">
                <margin.target id="marg26"/>
              10. unde
                <lb/>
              cimi</s>
            </p>
            <p type="margin">
              <s id="s.000223">
                <margin.target id="marg27"/>
              10. unde­
                <lb/>
              cimi</s>
            </p>
            <p type="margin">
              <s id="s.000224">
                <margin.target id="marg28"/>
              4. ſexti</s>
            </p>
            <p type="margin">
              <s id="s.000225">
                <margin.target id="marg29"/>
              per 5. pe­
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              titionem
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              Archime
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              dis.</s>
            </p>
            <p type="head">
              <s id="s.000226">COROLLARIVM.</s>
            </p>
            <p type="main">
              <s id="s.000227">Ex iam demonſtratis perſpicue apparet, cuius
                <lb/>
              libet priſmatis axem, parallelogrammorum lateri
                <lb/>
              bus, quæ ab oppoſitis planis
                <expan abbr="ducũtur">ducuntur</expan>
              æquidiſtare.</s>
            </p>
            <p type="head">
              <s id="s.000228">THEOREMA VI. PROPOSITIO VI.</s>
            </p>
            <p type="main">
              <s id="s.000229">Cuiuslibet priſmatis centrum grauitatis eſt in
                <lb/>
              plano, quod oppoſitis planis æquidiſtans, reli­
                <lb/>
              quorum planorum latera bifariam diuidit.</s>
            </p>
            <p type="main">
              <s id="s.000230">Sit priſma, in quo plana, quæ opponuntur ſint trian­
                <lb/>
              gula ace, bdf: & parallelogrammorum latera ab, cd,
                <lb/>
              ef bifariam
                <expan abbr="diuidãtur">diuidantur</expan>
              in punctis ghk: per diuiſiones au­
                <lb/>
                <arrow.to.target n="marg30"/>
                <lb/>
              tem planum ducatur; cuius ſectio figura ghK. </s>
              <s id="s.000231">erit linea
                <lb/>
              gh æquidiſtans lineis ac, bd & hk ipſis ce, df. </s>
              <s id="s.000232">quare ex
                <lb/>
              decimaquinta undecimi elementorum, planum illud pla
                <lb/>
              nis ace, bdf æquidiſtabit, & faciet ſectionem figu­
                <lb/>
                <arrow.to.target n="marg31"/>
                <lb/>
              ram ipſis æqualem, & ſimilem, ut proxime demonſtra­
                <lb/>
              uimus. </s>
              <s id="s.000233">Dico centrum grauitatis priſmatis eſſe in plano
                <lb/>
              ghk. </s>
              <s id="s.000234">Si enim fieri poteſt, ſit eius centrum l: & ducatur
                <lb/>
              lm uſque ad planum ghk, quæ ipſi ab æquidiſtet. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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