Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/024.jpg" pagenum="16"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Pyramides ſimilibus, & æqualibus triangulis
                <lb/>
              comprehenſæ inter ſe ſunt æquales. </s>
            </p>
            <p type="main">
              <s>Sint pyramides ABCD, EFGH, ſimilibus, & æqua­
                <lb/>
              libus triangulis comprehenſæ, & ſi ſint ſimiliter poſitæ, qua­
                <lb/>
              rum vertices A, E, baſes autem triangula BCD, FGH.
                <lb/>
              </s>
              <s>Dico pyramidem ABCD, pyramidi EFGH, æqualem
                <lb/>
              eſse. </s>
              <s>A punctis enim A, E, manantia latera inferius pro­
                <lb/>
              ducantur, & prædictis lateribus maiores, inter ſe autem
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              æquales abſcindantur AK, AL, AM, EN, EO, EP,
                <lb/>
                <figure id="id.043.01.024.1.jpg" xlink:href="043/01/024/1.jpg" number="13"/>
                <lb/>
              & conſtruantur pyramides AKLM, ENOP: pyramides
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              igitur hæ æqualibus, & ſimilibus triangulis comprehenden
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              tur, vt colligitur ex ipſa conſtructione; triangulis igitur inter
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              ſe æquilateris, & æquiangulis KLM, NOP, inter ſe con­
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              gruentibus non congruat, ſi fieri poteſt, pyramis ENOP,
                <lb/>
              pyramidi AKLM, ſed cadat vertex E, pyramidis ENOP,
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              extra verticem A, pyramidis AKLM, & ex puncto A, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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