Commandino, Federico, Liber de centro gravitatis solidorum, 1565

List of thumbnails

< >
31
31
32
32
33
33
34
34
35
35
36
36
37
37
38
38
39
39
40
40
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000356">
                <pb xlink:href="023/01/038.jpg"/>
                <figure id="id.023.01.038.1.jpg" xlink:href="023/01/038/1.jpg" number="28"/>
                <lb/>
              linea x cum ſit minor circulo, uel ellipſi, eſt etiam minor fi­
                <lb/>
              gura rectilinea y. </s>
              <s id="s.000357">ergo pyramis x pyramide y minor erit. </s>
              <lb/>
              <s id="s.000358">Sed & maior; quod fieri
                <expan abbr="">non</expan>
              poteſt. </s>
              <s id="s.000359">At ſi conus, uel coni por
                <lb/>
              tio x ponatur minor pyramide y: ſit alter conus æque al­
                <lb/>
              tus, uel altera coni portio X ipſi pyramidi y æqualis. </s>
              <s id="s.000360">erit
                <lb/>
              eius baſis circulus, uel ellipſis maior circulo, uel ellipſi x,
                <lb/>
              quorum exceſſus ſit ſpacium
                <foreign lang="grc">ω.</foreign>
              Si igitur in circulo, uel eili­
                <lb/>
              pſi X figura rectilinea deſcribatur, ita ut portiones relictæ
                <lb/>
              ſint
                <foreign lang="grc">ω</foreign>
              ſpacio minores, ciuſmodi figura adhuc maior erit cir
                <lb/>
              culo, uel ellipſi x, hoc eſt figura rectilinea y. </s>
              <s id="s.000361">& pyramis in
                <lb/>
              ca conſtituta minor cono, uel coni portione X, hoc eſt mi­
                <lb/>
              nor pyramide y. </s>
              <s id="s.000362">eſt ergo ut X figura rectilinea ad figuram
                <lb/>
              rectilineam y, ita pyramis X ad pyramidem y. </s>
              <s id="s.000363">quare cum
                <lb/>
              figura rectilinea X ſit maior figura y: erit & pyramis X py­
                <lb/>
              ramide y maior. </s>
              <s id="s.000364">ſed erat minor; quod rurſus fieri non po­
                <lb/>
              teſt. </s>
              <s id="s.000365">non eſt igitur conus, uel coni portio x neque maior,
                <lb/>
              neque minor pyramide y. </s>
              <s id="s.000366">ergo ipſi neceſſario eſt æqualis. </s>
              <lb/>
              <s id="s.000367">Itaque quoniam ut conus ad conum, uel coni portio ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>