Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000544">
                <pb xlink:href="023/01/060.jpg"/>
              qr, eodem, quo ſupra, modo oſtendemus fg ad pq, ut fh
                <lb/>
              ad pr. </s>
              <s id="s.000545">ſed priſma ae ad ipſum ko eſt, ut fh ad pr. </s>
              <s id="s.000546">ergo
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              & ut fg axis ad axem pq.</s>
              <s id="s.000547"> ex quibus ſit, ut pyramis abcdf
                <lb/>
                <figure id="id.023.01.060.1.jpg" xlink:href="023/01/060/1.jpg" number="54"/>
                <lb/>
              ad
                <expan abbr="pyrami-dẽ">pyrami­
                  <lb/>
                dem</expan>
              klmnp
                <lb/>
              eandem ha
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              beat pro ­
                <lb/>
              portionẽ,
                <lb/>
                <expan abbr="quã">quam</expan>
              axis ad
                <lb/>
                <expan abbr="axẽ">axem</expan>
              . </s>
              <s id="s.000548">quod
                <lb/>
                <expan abbr="demonſtrã">demonſtran</expan>
                <lb/>
                <expan abbr="dũ">dum</expan>
              ſuerat.</s>
            </p>
            <p type="main">
              <s id="s.000549">Simili ra
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              tione in a­
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              liis priſma­
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              tibus & py
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              ramidibus eadem demonſtrabuntur.</s>
            </p>
            <p type="head">
              <s id="s.000550">THEOREMA XVII. PROPOSITIO XXI.</s>
            </p>
            <p type="main">
              <s id="s.000551">Priſmata omnia, & pyramides inter ſe propor
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              tionem habent compoſitam ex proportione ba­
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              ſium, & proportione altitudinum.</s>
            </p>
            <p type="main">
              <s id="s.000552">Sint duo priſmata ae, gm:
                <expan abbr="ſitq;">ſitque</expan>
              priſmatis ae baſis qua
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              drilaterum abcd, & altitudo ef: priſmatis uero gm ba­
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              ſis quadrilaterum ghKl, & altitudo mn. </s>
              <s id="s.000553">Dico priſma ae
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              ad priſma gm proportionem habere compoſitam ex pro
                <lb/>
              portione baſis abcd ad baſim ghkl, & ex proportione
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              altitudinis ef, ad altitudinem mn.</s>
            </p>
            <p type="main">
              <s id="s.000554">Sint enim primum ef, mn æquales: & ut baſis abcd
                <lb/>
              ad baſim ghkl, ita fiat linea, in qua o ad lineam, in qua p:
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              ut autem ef ad mn, ita linea p ad lineam q.</s>
              <s id="s.000555"> erunt lineæ
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              pq inter ſe æquales. </s>
              <s id="s.000556">Itaque priſma ae ad priſma gm
                <expan abbr="eã">eam</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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