Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000556">
                <pb pagenum="27" xlink:href="023/01/061.jpg"/>
              proportionem habet, quam baſis abcd ad baſim ghkl:
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              ſi enim intelligantur duæ pyramides abcde, ghklm, ha­
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              bebunt hæ inter ſe proportionem eandem, quam ipſarum
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              baſes ex ſexta duodecimi elementorum. </s>
              <s id="s.000557">Sed ut baſis abcd
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              ad ghKl baſim, ita linea o ad lineam p; hoc eſt ad lineam q
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              ei æqualem. </s>
              <s id="s.000558">ergo priſma ae ad priſma gm eſt, ut linea o
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              ad lineam q.</s>
              <s id="s.000559"> proportio autem o ad q copoſita eſt ex pro­
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              portione o ad p, & ex proportione p ad q.</s>
              <s id="s.000560"> quare priſma
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              ae ad priſma gm, & idcirco pyramis abcde, ad pyrami­
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              dem ghKlm proportionem habet ex eiſdem proportio­
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              nibus compoſitam, uidelicet ex proportione baſis abcd
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              ad baſim ghKl, & ex proportione altitudinis ef ad mn al
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              titudinem. </s>
              <s id="s.000561">Quòd ſi lineæ ef, mn inæquales ponantur, ſit
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              ef minor: & ut ef ad mn, ita fiat linea p ad lineam u: de
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                <figure id="id.023.01.061.1.jpg" xlink:href="023/01/061/1.jpg" number="55"/>
                <lb/>
              inde ab ipſa mn abſcindatur rn æqualis ef: & per r duca­
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              tur planum, quod oppoſitis planis æquidiſtans faciat ſe­
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              ctionem st. </s>
              <s id="s.000562">erit priſma ae, ad priſma gt, ut baſis abcd
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              ad baſim ghkl; hoc eſt ut o ad p: ut autem priſma gt ad
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                <arrow.to.target n="marg65"/>
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              priſma gm, ita altitudo rn; hoc eſt ef ad altitudine mn;
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              uidelicet linea p ad lineam u. </s>
              <s id="s.000563">ergo ex æquali priſma ae ad
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              priſma gm eſt, ut linea o ad ipſam u. </s>
              <s id="s.000564">Sed proportio o ad
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              u
                <expan abbr="cõpoſita">compoſita</expan>
              eſt ex proportione o ad p, quæ eſt baſis abcd
                <lb/>
              ad baſim ghkl; & ex proportione p ad u, quæ eſt altitudi­
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              nis ef ad altitudinem mn. </s>
              <s id="s.000565">priſma igitur ae ad priſma gm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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