Valerio, Luca, De centro gravitatis solidorum, 1604

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      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/076.jpg" pagenum="68"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXIV.
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              </s>
            </p>
            <p type="main">
              <s>Omnis priſmatis baſim pluſquam trilateram
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              habentis centrum grauitatis eſt in medio axis. </s>
            </p>
            <p type="main">
              <s>Sit priſma ABCDEFGH, baſim habens quadrila­
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              teram ABCD: axis autem
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              L, bifariam ſectus in pun­
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              cto M. </s>
              <s>Dico punctum M, eſse centrum grauitatis priſ­
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              matis ABCDEFGH. </s>
              <s>Iungantur enim rectæ BD, FH,
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              vt parallelogrammum ſit BH, ſectumque totum priſma
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              in duo priſmata, quorum ba­
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              ſes ſunt triangula, in quæ ſecta
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              ſunt quadrilatera AC, EG,
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              ſint autem axes duorum priſ­
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              matum triangulas baſes ha­
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              bentium NO,
                <expan abbr="Pq.">Pque</expan>
              Erunt
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              igitur centra grauitatis O, tri­
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              anguli ABD, & L, quadri­
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              lateri AC, & Q, trianguli
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              BCD, itemque N, trianguli
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              EFH, & K, quadrilateri EG,
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              & P, trianguli FGH: iun­
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              ctæ igitur OQ, NP, per pun
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                <figure id="id.043.01.076.1.jpg" xlink:href="043/01/076/1.jpg" number="49"/>
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              cta L, K, tranſibunt: cumque tres prædicti axes ſint
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              lateribus priſmatis, atque ideo inter ſe quoque paralleli;
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              parallelogramma erunt OP, NL, LP. ducta igitur per
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              punctum M, ipſi OQ, vel NP, parallela RS, erit vt
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              NK, ad KP, ita RM, ad MS: & vt KM, ad ML, ita
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              NR, ad RO, & PS, ad SQ: ſed KM, eſt æqualis ML;
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              igitur & KR, ipſi RO, & PS, ipſi SQ, æqualis erit: ſunt
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              autem hæ ſegmenta axium NO,
                <expan abbr="Pq;">Pque</expan>
              punctum igitur
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              R, eſt centrum grauitatis priſmatis ABDEFH: & per </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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