Commandino, Federico, Liber de centro gravitatis solidorum, 1565

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
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="nõ">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>
Impressum