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.000293">
                <pb xlink:href="023/01/032.jpg"/>
              medis. </s>
              <s id="s.000294">ergo punctum
                <foreign lang="grc">ν</foreign>
              extra priſma af poſitum,
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              erit magnitudinis
                <expan abbr="cõpoſitæ">compoſitæ</expan>
              ex omnibus priſmatibus gzr,
                <lb/>
              r
                <foreign lang="grc">β</foreign>
              t, t
                <foreign lang="grc">γ</foreign>
              x, x
                <foreign lang="grc">δ</foreign>
              k, k
                <foreign lang="grc">δ</foreign>
              y, yu, us, s
                <foreign lang="grc">α</foreign>
              h, quod fieri nullo modo po
                <lb/>
              teſt. </s>
              <s id="s.000295">eſt enim ex diffinitione centrum grauitatis ſolidæ figu
                <lb/>
              ræ intra ipſam poſitum, non extra. </s>
              <s id="s.000296">quare relinquitur, ut
                <expan abbr="cẽtrum">cen
                  <lb/>
                trum</expan>
              grauitatis priſmatis ſit in linea Km. </s>
              <s id="s.000297">Rurſus bc bifa­
                <lb/>
              riam in diuidatur: & ducta a
                <foreign lang="grc">χ,</foreign>
              per ipſam, & per lineam
                <lb/>
              agd planum ducatur; quod priſma ſecet:
                <expan abbr="faciatq;">faciatque</expan>
              in paral
                <lb/>
              lelogrammo bf ſectionem
                <foreign lang="grc">χ π</foreign>
              diuidet punctum
                <foreign lang="grc">π</foreign>
              lineam
                <lb/>
              quoque cf bifariam: & erit plani eius, & trianguli ghK
                <lb/>
              communis ſectio gu; quòd
                <expan abbr="pũctum">punctum</expan>
              u in medio lineæ hK
                <lb/>
                <figure id="id.023.01.032.1.jpg" xlink:href="023/01/032/1.jpg" number="23"/>
                <lb/>
              poſitum ſit. </s>
              <s id="s.000298">Similiter demonſtrabimus centrum grauita­
                <lb/>
              tis priſmatis in ipſa gu ineſſe. </s>
              <s id="s.000299">ſit autem planorum cfnl,
                <lb/>
              ad
                <foreign lang="grc">πχ</foreign>
              communis ſectio linea
                <foreign lang="grc">ρστ;</foreign>
              quæ quidem priſmatis
                <lb/>
              axis erit, cum tranſeat per centra grauitatis triangulorum
                <lb/>
              abc, ghk def, ex quartadecima eiuſdem. </s>
              <s id="s.000300">ergo centrum
                <lb/>
              grauitatis priſmatis af eſt punctum
                <foreign lang="grc">ς,</foreign>
              centrum ſcilicet </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>