Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000319">
                <pb xlink:href="023/01/034.jpg"/>
              ad priſma abcefg. </s>
              <s id="s.000320">quare linea sy ad yt eandem propor­
                <lb/>
              tionem habet, quam priſma adcehg ad priſma abcefg. </s>
              <lb/>
              <s id="s.000321">Sed priſmatis abcefg centrum grauitatis eſt s: & priſma­
                <lb/>
              tis adcehg centrum t. </s>
              <s id="s.000322">magnitudinis igitur ex his compo
                <lb/>
              ſitæ hoc eſt totius priſmatis ag centrum grauitatis eſt pun
                <lb/>
              ctum y; medium ſcilicet axis ux, qui oppoſitorum plano­
                <lb/>
              rum centra coniungit.</s>
            </p>
            <p type="margin">
              <s id="s.000323">
                <margin.target id="marg44"/>
              5. huius/></s>
            </p>
            <p type="main">
              <s id="s.000324">Rurſus ſit priſma baſim habens pentagonum abcde:
                <lb/>
              & quod ei opponitur ſit fghKl: ſec
                <expan abbr="enturq;">enturque</expan>
              af, bg, ch,
                <lb/>
              dk, el bifariam: & per diuiſiones ducto plano, ſectio ſit
                <expan abbr="pẽ">pen</expan>
                <lb/>
                <expan abbr="tagonũ">tagonum</expan>
              mnopq. deinde iuncta eb per lineas le, eb aliud
                <lb/>
                <figure id="id.023.01.034.1.jpg" xlink:href="023/01/034/1.jpg" number="25"/>
                <lb/>
              planum ducatur,
                <expan abbr="diuidẽs">diuidens</expan>
              priſ
                <lb/>
              ma ak in duo priſmata; in priſ
                <lb/>
              ma ſcilicet al, cuius plana op­
                <lb/>
              poſita ſint triangula abe fgl:
                <lb/>
              & in prima bk cuius plana op
                <lb/>
              poſita ſint quadrilatera bcde
                <lb/>
              ghkl. </s>
              <s id="s.000325">Sint autem triangulo­
                <lb/>
              rum abe, fgl centra grauita
                <lb/>
              tis puncta r ſ: & bcde, ghkl
                <lb/>
              quadrilaterorum centra tu:
                <lb/>
                <expan abbr="iunganturq;">iunganturque</expan>
              rs, tu occurren­
                <lb/>
              tes plano mnopq in punctis
                <lb/>
              xy. </s>
              <s id="s.000326">& itidem
                <expan abbr="iungãtur">iungantur</expan>
              rt, ſu,
                <lb/>
              xy. </s>
              <s id="s.000327">erit in linea rt
                <expan abbr="cẽtrum">centrum</expan>
              gra
                <lb/>
              uitatis pentagoni abcde;
                <lb/>
              quod ſit z: & in linea ſu cen­
                <lb/>
              trum pentagoni fghkl :ſit au
                <lb/>
              tem
                <foreign lang="grc">χ·</foreign>
              & ducatur z
                <foreign lang="grc">χ,</foreign>
              quæ di­
                <lb/>
              cto plano in
                <foreign lang="grc">ψ</foreign>
              occurrat. </s>
              <s id="s.000328">
                <expan abbr="Itaq;">Itaque</expan>
                <lb/>
              punctum x eſt centrum graui
                <lb/>
              tatis trianguli mnq, ac priſ­
                <lb/>
              matis al: & y grauitatis centrum quadrilateri nopq, ac
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              priſmatis bk. </s>
              <s id="s.000329">quare y centrum erit pentagoni mnopq. </s>
              <s id="s.000330"> & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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