Valerio, Luca, De centro gravitatis solidorum, 1604

List of thumbnails

< >
91
91 		92
92
93
93 		94
94
95
95 		96
96
97
97 		98
98
99
99 		100
100
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/099.jpg" pagenum="12"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO VIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſint tres magnitudines ſe ſe æqualiter exce­
                <lb/>
              dentes; & aliæ eiuſdem generis illis multitudine
                <lb/>
              æquales, binæque ſumptæ in duplicata primarum
                <lb/>
              proportione; erit vtriuſque ordinis minor pro­
                <lb/>
              portio compoſitæ ex primis ad compoſitam ex ſe­
                <lb/>
              cundis, quam compoſitæ ex ſecundis ad compoſi­
                <lb/>
              tam ex tertijs. </s>
            </p>
            <p type="main">
              <s>Sint tres magnitudines A, B, C, quarum C maxima
                <lb/>
              æque ſuperet B, atque
                <lb/>
              B, ipſam A. & totidem
                <lb/>
              eiuſdem generis D, E,
                <lb/>
              F, ſitque F ad E du­
                <lb/>
              plicata proportio ipſius
                <lb/>
              C ad B: & E ad D,
                <lb/>
              duplicata ipſius B ad
                <lb/>
              A. </s>
              <s>Dico AD, ſimul
                <lb/>
              ad BE, ſimul mino­
                <lb/>
              tem eſſe proportionem
                <lb/>
              quam BE, ſimul ad
                <lb/>
              CF, ſimul. </s>
              <s>Eſto enim
                <lb/>
              recta quæpiam GH,
                <lb/>
              ad aliam rectam ſibi in
                <lb/>
              directum poſitam HK,
                <lb/>
              vt magnitudo A ad ip
                <lb/>
              ſius F duplam (hoc
                <lb/>
              enim fieri poteſt) &
                <lb/>
                <figure id="id.043.01.099.1.jpg" xlink:href="043/01/099/1.jpg" number="73"/>
                <lb/>
              ſuper baſim GK; conſtituatur triangulum GLK, atque
                <lb/>
              in eo deſcribatur parallelogrammum GHMN: & vt eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum