Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/251.jpg" pagenum="72"/>
              baſis circulus, vel cllipſis, cuius diameter AD. minor
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              ,
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              cuius diameter ABC: & circa axim GH, ſtet cylindrus,
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              vel portio cylindrica NO, abſciſſa ijſdem planis cum por­
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              tione ABCD, ex cylindro, vel portione cylindrica ſphæ­
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              ræ, vel ſphæroidi BCR circa axim FGHR circumſcri­
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              pta, cuius ſit centrum grauitatis K, ſectio ſcilicet bipartiti
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              axis GH: reliqui autem ex ſolido NO dempta portione,
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              ſit centrum grauitatis L, nempe in axis GH ſegmento
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              GK, quod minorem
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              portionis baſim attln­
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              git: portionis autem
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              ABCD ſit centrum
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              grauitatis M: quod qui
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              dem in reliquo ſeg­
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              mento KH cadet.
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              </s>
              <s>Dico eſſe KL ad LM,
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              vt duo ſolida rectan­
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              gula ex FH, HR, EH,
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              & ex RG, GF, GK,
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              vnà cum binis tertiis
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              duorum cuborum ex
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              EG, EH; ad ſolidum
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                <figure id="id.043.01.251.1.jpg" xlink:href="043/01/251/1.jpg" number="184"/>
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              rectangulum ex GH, EF, ER. </s>
              <s>Similiter enim vt ſupra
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              demonſtrato eſſe vt KL ad LM, ita portionem ABCD
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              ad ſolidum NO; quoniam portio ABCD ad ſolidum
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              NO, eſt vt duo ſolida rectangula ex GH, HR, EH, &
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              ex RG, GF, EG, vnà cum binis tertiis duorum cubo­
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              rum ex EH, EG ad ſolidum ex GH, EF, ER, erit
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              vt totum iam dictum antecedens ad dictum conſequens,
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              ita KL ad LM. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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