Commandino, Federico, Liber de centro gravitatis solidorum, 1565

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000102">
                <pb pagenum="3" xlink:href="023/01/013.jpg"/>
              cta bd in g puncto, ducatur cg; & protrahatur ad circuli
                <lb/>
              uſque circumferentiam; quæ ſecet ae in h. </s>
              <s id="s.000103">Similiter conclu
                <lb/>
              demus cg per centrum circuli tranſire: & bifariam ſecate
                <lb/>
              lineam ae;
                <expan abbr="itemq́">itemque</expan>
              ; lineas bd, ae inter ſe æquidiſtantes eſſe.
                <lb/>
              </s>
              <s id="s.000104">Cum igitur cg per centrum circuli tranſeat; & ad
                <expan abbr="punctũ">punctum</expan>
                <lb/>
              f perueniat neceſſe eſt: quòd cdef ſit dimidium circumfe
                <lb/>
                <figure id="id.023.01.013.1.jpg" xlink:href="023/01/013/1.jpg" number="5"/>
                <lb/>
                <arrow.to.target n="marg14"/>
                <lb/>
              rentiæ circuli. </s>
              <s id="s.000105">Quare in eadem
                <lb/>
              diametro cf erunt centra gra
                <lb/>
              uitatis triangulorum bcd,
                <lb/>
              afe, & quadrilateri abde, ex
                <lb/>
              quibus conſtat hexagonum ab
                <lb/>
              cdef. </s>
              <s id="s.000106">perſpicuum eſt igitur in
                <lb/>
              ipſa cf eſſe circuli centrum, &
                <lb/>
              centrum grauitatis hexagoni.
                <lb/>
              </s>
              <s id="s.000107">Rurſus ducta altera diametro
                <lb/>
              ad, eiſdem rationibus oſtende­
                <lb/>
              mus in ipſa utrumque
                <expan abbr="cẽtrum">centrum</expan>
                <lb/>
              ineſſe. </s>
              <s id="s.000108">Centrum ergo grauita­
                <lb/>
              tis hexagoni, & centrum circuli idem erit.</s>
            </p>
            <p type="margin">
              <s id="s.000109">
                <margin.target id="marg14"/>
              13 Archi
                <lb/>
              medis.</s>
              <lb/>
              <s id="s.000110">9.
                <expan abbr="eiusdetilde;">eiusdem</expan>
                <lb/>
              m</s>
            </p>
            <p type="main">
              <s id="s.000111">Sit heptagonum abcdefg æquilaterum atque æquian
                <lb/>
                <figure id="id.023.01.013.2.jpg" xlink:href="023/01/013/2.jpg" number="6"/>
                <lb/>
              gulum in circulo deſcriptum:
                <lb/>
              & iungantur ce, bf, ag: di­
                <lb/>
              uiſa autem ce bifariam in
                <expan abbr="pũtco">pun
                  <lb/>
                cto</expan>
              h: & iuncta dh produca­
                <lb/>
              tur in k. </s>
              <s id="s.000112">non aliter demon­
                <lb/>
              ſtrabimus in linea dk eſſe cen
                <lb/>
              trum circuli, & centrum gra­
                <lb/>
              uitatis trianguli cde, & tra­
                <lb/>
              peziorum bcef, abfg, hoc
                <lb/>
              eſt centrum totius heptago­
                <lb/>
              ni: & rurſus eadem centra in
                <lb/>
              alia diametro cl ſimiliter du­
                <lb/>
              cta contineri. </s>
              <s id="s.000113">Quare & centrum grauitatis heptagoni, &
                <lb/>
              centrum circuli in idem punctum conueniunt. </s>
              <s id="s.000114">Eodem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum