Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 161]
[Figure 162]
[Figure 163]
[Figure 164]
[Figure 165]
[Figure 166]
[Figure 167]
[Figure 168]
[Figure 169]
[Figure 170]
[Figure 171]
[Figure 172]
[Figure 173]
[Figure 174]
[Figure 175]
[Figure 176]
[Figure 177]
[Figure 178]
[Figure 179]
[Figure 180]
[Figure 181]
[Figure 182]
[Figure 183]
[Figure 184]
[Figure 185]
[Figure 186]
[Figure 187]
[Figure 188]
[Figure 189]
[Figure 190]
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/251.jpg" pagenum="72"/>
              baſis circulus, vel cllipſis, cuius diameter AD. minor
                <expan abbr="autẽ">autem</expan>
              ,
                <lb/>
              cuius diameter ABC: & circa axim GH, ſtet cylindrus,
                <lb/>
              vel portio cylindrica NO, abſciſſa ijſdem planis cum por­
                <lb/>
              tione ABCD, ex cylindro, vel portione cylindrica ſphæ­
                <lb/>
              ræ, vel ſphæroidi BCR circa axim FGHR circumſcri­
                <lb/>
              pta, cuius ſit centrum grauitatis K, ſectio ſcilicet bipartiti
                <lb/>
              axis GH: reliqui autem ex ſolido NO dempta portione,
                <lb/>
              ſit centrum grauitatis L, nempe in axis GH ſegmento
                <lb/>
              GK, quod minorem
                <lb/>
              portionis baſim attln­
                <lb/>
              git: portionis autem
                <lb/>
              ABCD ſit centrum
                <lb/>
              grauitatis M: quod qui
                <lb/>
              dem in reliquo ſeg­
                <lb/>
              mento KH cadet.
                <lb/>
              </s>
              <s>Dico eſſe KL ad LM,
                <lb/>
              vt duo ſolida rectan­
                <lb/>
              gula ex FH, HR, EH,
                <lb/>
              & ex RG, GF, GK,
                <lb/>
              vnà cum binis tertiis
                <lb/>
              duorum cuborum ex
                <lb/>
              EG, EH; ad ſolidum
                <lb/>
                <figure id="id.043.01.251.1.jpg" xlink:href="043/01/251/1.jpg" number="184"/>
                <lb/>
              rectangulum ex GH, EF, ER. </s>
              <s>Similiter enim vt ſupra
                <lb/>
              demonſtrato eſſe vt KL ad LM, ita portionem ABCD
                <lb/>
              ad ſolidum NO; quoniam portio ABCD ad ſolidum
                <lb/>
              NO, eſt vt duo ſolida rectangula ex GH, HR, EH, &
                <lb/>
              ex RG, GF, EG, vnà cum binis tertiis duorum cubo­
                <lb/>
              rum ex EH, EG ad ſolidum ex GH, EF, ER, erit
                <lb/>
              vt totum iam dictum antecedens ad dictum conſequens,
                <lb/>
              ita KL ad LM. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>