Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/064.jpg" pagenum="56"/>
              ML, ſed vt GF, ad FH, ita eſt CF, ad FD, hoc eſt DE, ad
                <lb/>
              EC, hoc eſt ſolidum A, ad ſolidum B; erit vt parallelepipe­
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              dum KN, ad parallelepipedum ML, ita ſolidum A, ad ſoli­
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              dum B. componendo igitur, & permutando, vt parallelepi­
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              pedum KL, ad duo ſolida A, B, ſimul, ita parallelepi­
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              pedum ML, ad ſolidum B: & reliquum ad reliquum: ſed
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              parallelepipedum KL, æquale eſt duobus ſolidis A, B, ſi­
                <lb/>
              mul: parallelepipedum igitur KN, ſolido A, & paralle­
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              lepipedum ML, ſolido B, æquale erit. </s>
              <s>Rurſus, quo­
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              niam eſt vt GF, ad
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              ad FH, ita CF, ad
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              FD; hoc eſt DE,
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              ad EC: ſed vt GF,
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              ad FH, ita eſt
                <expan abbr="pa-rallelepipedũ">pa­
                  <lb/>
                rallelepipedum</expan>
              KN,
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              ad
                <expan abbr="parallelepipedũ">parallelepipedum</expan>
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              ML; erit vt DE,
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              ad EC, ita paralle
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              lepipedum KN, ad
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              parallelepipedum
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              ML; ſed C eſt pa­
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              rallelepipedi KN,
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              & D, parallelepipe
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              di ML, centrum
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              grauitatis; totius igi
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                <figure id="id.043.01.064.1.jpg" xlink:href="043/01/064/1.jpg" number="40"/>
                <lb/>
              tur parallelepipedi KL, centrum grauitatis erit E. </s>
              <s>Igi­
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              tur ſolido A, poſito ad punctum G, ſecundum centrum
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              grauitatis A, & ſolidum B, ad punctum D, ſecundum
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              centrum grauitatis B, quorum A, eſt æquale parallele­
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              pipedo KN, & B, parallelepipedo ML; ab ijſdem lon­
                <lb/>
              gitudinibus DE, EC, æquiponderabunt; eritque com­
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              poſiti ex vtroque ſolido A, B, centrum grauitatis E. </s>
              <s>Quod
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              demonſtrandum erat. </s>
            </p>
            <p type="main">
              <s>Quod ſi quis à me quærat, cur non hic vtar quinta illa </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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