Valerio, Luca, De centro gravitatis solidorum, 1604

List of thumbnails

< >
61
61
62
62
63
63
64
64
65
65
66
66
67
67
68
68
69
69
70
70
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/061.jpg" pagenum="53"/>
              verticem æqualia alterum alteri: eademque ratione, &
                <lb/>
              triangulum E
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              H, triangulo BCK: & triangulum FKH,
                <lb/>
              triangulo BDK; erit pyramis KEFH, ſimilis, & æqua­
                <lb/>
              lis pyramidi KBCD: habent autem tria latera tribus
                <lb/>
              lateribus homologis, ideſt æ­
                <lb/>
              qualibus, in directum, prout
                <lb/>
              inter ſe reſpondent, conſtituta;
                <lb/>
              duarum igitur pyramidum KE
                <lb/>
              FH, KBCD, ſimul centrum
                <lb/>
              grauitatis erit K: non aliter
                <lb/>
              duarum pyramidum
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              GFH,
                <lb/>
              KBDA, ſimul centrum gra­
                <lb/>
              uitatis erit K; totius igitur com
                <lb/>
              poſiti ex quatuor pyramidibus;
                <lb/>
              ideſt duabus oppoſitis ABC­
                <lb/>
              DK, EFGHK, centrum gra
                <lb/>
              uitatis erit idem K. </s>
              <s>Eadem
                <lb/>
              ratione tam duarum pyrami­
                <lb/>
                <figure id="id.043.01.061.1.jpg" xlink:href="043/01/061/1.jpg" number="37"/>
                <lb/>
              dum AEHDK, BCGFK, ſimul, quàm duarum AB­
                <lb/>
              FEK, CDHGK, ſimul centrum grauitatis erit K. </s>
              <s>To­
                <lb/>
              tius igitur parallelepipedi ABCDEFG
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              , centrum
                <lb/>
              grauitatis erit K. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXVI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si parallelepipedum in duo parallelepipeda
                <lb/>
              ſecetur, ſegmenta axis à centris grauitatis totius
                <lb/>
              parallelepipedi, & partium terminata ex contra­
                <lb/>
              rio parallelepipedi partibus reſpondent. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>