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.000114">
                <pb xlink:href="023/01/014.jpg"/>
              do in reliquis figuris æquilateris, & æquiangulis, quæ in cir­
                <lb/>
              culo deſcribuntur, probabimus
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis earum,
                <lb/>
              & centrum circuli idem eſſe. </s>
              <s id="s.000115">quod quidem demonſtrare
                <lb/>
              oportebat.</s>
            </p>
            <p type="main">
              <s id="s.000116">Ex quibus apparet cuiuslibet figuræ rectilineæ
                <lb/>
              in circulo plane deſcriptæ centrum grauitatis
                <expan abbr="idẽ">idem</expan>
                <lb/>
              eſſe, quod & circuli centrum.
                <lb/>
                <arrow.to.target n="marg15"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000117">
                <margin.target id="marg15"/>
                <foreign lang="grc">γνωρίμως</foreign>
              </s>
            </p>
            <p type="main">
              <s id="s.000118">Figuram in circulo plane deſcriptam appella­
                <lb/>
              mus, cuiuſmodi eſt ea, quæ in duodecimo elemen
                <lb/>
              torum libro, propoſitione ſecunda deſcribitur.
                <lb/>
              </s>
              <s id="s.000119">ex æqualibus enim lateribus, & angulis conſtare
                <lb/>
              perſpicuum eſt.</s>
            </p>
            <p type="head">
              <s id="s.000120">THEOREMA II, PROPOSITIO II.</s>
            </p>
            <p type="main">
              <s id="s.000121">Omnis figuræ rectilineæ in ellipſi plane deſcri­
                <lb/>
              ptæ centrum grauitatis eſt idem, quod ellipſis
                <lb/>
              centrum.</s>
            </p>
            <p type="main">
              <s id="s.000122">Quo modo figura rectilinea in ellipſi plane deſcribatur,
                <lb/>
              docuimus in commentarijs in quintam propoſitionem li­
                <lb/>
              bri Archimedis de conoidibus, & ſphæroidibus.</s>
            </p>
            <p type="main">
              <s id="s.000123">Sit ellipſis abcd, cuius maior axis ac, minor bd:
                <expan abbr="iun-ganturq́">iun­
                  <lb/>
                ganturque</expan>
              ; ab, bc, cd, da: & bifariam diuidantur in pun­
                <lb/>
              ctis efgh. </s>
              <s id="s.000124">à centro autem, quod ſit k ductæ lineæ ke, kf,
                <lb/>
              kg, kh uſque ad ſectionem in puncta lmno protrahan­
                <lb/>
              tur: & iungantur lm, mn, no, ol, ita ut ac ſecet li­
                <lb/>
              neas lo, mn, in z
                <foreign lang="grc">φ</foreign>
              punctis; & bd ſecet lm, on in
                <foreign lang="grc">χψ.</foreign>
                <lb/>
              erunt lk, kn linea una,
                <expan abbr="itemq́ue">itemque</expan>
              linea una ipſæ mk, ko:
                <lb/>
              & lineæ ba, cd æquidiſtabunt lineæ mo: & bc, ad ipſi
                <lb/>
              ln. </s>
              <s id="s.000125">rurſus lo, mn axi bd æquidiſtabunt: & lm, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum