Valerio, Luca, De centro gravitatis solidorum, 1604

Table of figures

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/218.jpg" pagenum="39"/>
              ad cylindrum, vel cylindri portionem NO, eſse vt duo
                <lb/>
              ſolida ad rectangula, alterum ex FH, HG, EH: alterum
                <lb/>
              ex GK, KF, EK, vnà cum binis tertiis duorum cubo­
                <lb/>
              rum ex EK, EH, ad ſolidum rectangulum ex GE,
                <lb/>
              EF KH, axe enim KH producto vt incidat in ſuper­
                <lb/>
              ficiem in punctis F, G, ſit ſphæræ, vel ſphæroidis, ex
                <lb/>
              demonſtratis, axis FK, EHG. </s>
              <s>Intelliganturque vt in
                <lb/>
              antecedenti duo cylindri, vel cylindri portiones NM,
                <lb/>
              LO, totius prædicti ſolidi NO: itemque duæ portiones
                <lb/>
              ſphæræ, vel ſphæroidis ALMD, LBCM, quorum qua­
                <lb/>
              tuor ſolidorum commu
                <lb/>
              nis baſis eſt circulus, vel
                <lb/>
              ellipſis circa LEM.
                <lb/>
              </s>
              <s>Quoniam igitur vt in
                <lb/>
              antecedenti oſtendere­
                <lb/>
              mus portionem ALM
                <lb/>
              D ad ſolidum NM eſ
                <lb/>
              ſe vt ſolidum ex FH,
                <lb/>
              HG, EH, vnà cum
                <lb/>
              duabus tertiis cubi EH
                <lb/>
              ad ſolidum ex FE, EG,
                <lb/>
              EH, communi altitu­
                <lb/>
              dine EH: ſed vt ſoli­
                <lb/>
              dum ex FE, EG, EH,
                <lb/>
                <figure id="id.043.01.218.1.jpg" xlink:href="043/01/218/1.jpg" number="160"/>
                <lb/>
              altitudine EH, ad ſolidum ex FE, EG, KH altitudi­
                <lb/>
              ne KH, ita eſt altitudo EH ad altitudinem KH, hoc
                <lb/>
              eſt ſolidum NM ad ſolidum NO, quippe quorum ſunt
                <lb/>
              axes EH, KH; ex æquali igitur erit vt ſolidum ex FH,
                <lb/>
              HG, EH, vnà cum duabus tertiis cubi EH, ad ſoli­
                <lb/>
              dum ex FE, EG, KH, ita portio ALMD, ad ſoli­
                <lb/>
              dum NO. </s>
              <s>Eadem ratione oſtenderemus eſſe, vt ſolidum
                <lb/>
              ex GK, KF, EK, vnà cum duabus tertiis cubi EK, ad
                <lb/>
              ſolidum ex FE, EG, KH, ita portionem LBCM, ad
                <lb/>
              ſolidum NO; vt igitur prima cum quinta ad ſecundam, </s>
            </p>
          </chap>
        </body>
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