Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
31 10
32
33 11
34
35 12
36
37 13
38
39 14
40
41 15
42
43 16
44
45 17
46
47 18
48
49 19
50
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
< >
page |< < of 213 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="80">
          <pb file="0154" n="154" rhead="FED. COMMANDINI"/>
        </div>
        <div type="section" level="1" n="81">
          <head xml:space="preserve">THE OREMA XII. PROPOSITIO XVI.</head>
          <p>
            <s xml:space="preserve">In ſphæra, & </s>
            <s xml:space="preserve">ſphæroide idem eſt grauitatis, & </s>
            <s xml:space="preserve">
              <lb/>
            figuræ centrum.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">Secetur ſphæra, uel ſphæroid
              <gap/>
            no per axem ducto;
              <lb/>
            </s>
            <s xml:space="preserve">quod ſectionem faciat circulum,
              <gap/>
            ellipſim a b c d, cuius
              <lb/>
            diameter, & </s>
            <s xml:space="preserve">ſphæræ, uelſphæroidis axis d b; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">centrume. </s>
            <s xml:space="preserve">
              <lb/>
            Dico e grauitatis etiam centrum eſſe. </s>
            <s xml:space="preserve">ſecetur enim altero
              <lb/>
            plano per e, ad planum ſecans recto, cuius fectio ſit circu-
              <lb/>
            lus circa diametrum a c. </s>
            <s xml:space="preserve">erunt a d c, a b c dimidiæ portio-
              <lb/>
            nes ſphæræ, uel fphæroidis. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quoniam portionis a d c gra
              <lb/>
            uitatis centrum eſt in linea d, & </s>
            <s xml:space="preserve">centrum portionis a b c in
              <lb/>
            ipſa b e; </s>
            <s xml:space="preserve">totius ſphæræ, uel ſphæroidis grauitatis centrum
              <lb/>
            in axe d b conſiſtet. </s>
            <s xml:space="preserve">Quòd ſi portionis a d c centrum graui
              <lb/>
            tatis ponatur eſſe f. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">fiat ipſi f e æqualis e g: </s>
            <s xml:space="preserve">punctũ g por
              <lb/>
              <anchor type="figure" xlink:label="fig-0154-01a" xlink:href="fig-0154-01"/>
            tionis a b c centrum erit. </s>
            <s xml:space="preserve">ſolidis enim figuris ſimilibus & </s>
            <s xml:space="preserve">
              <lb/>
              <anchor type="note" xlink:label="note-0154-01a" xlink:href="note-0154-01"/>
            æqualibus inter ſe aptatis, & </s>
            <s xml:space="preserve">centra grauitatis ipſarum in-
              <lb/>
            ter fe aptentur neceſſe eſt. </s>
            <s xml:space="preserve">ex quo fit, ut magnitudinis, quæ
              <lb/>
              <anchor type="note" xlink:label="note-0154-02a" xlink:href="note-0154-02"/>
            ex utriſque cõſtat, hoc eſt ipſius ſphæræ, uel ſphæroidis gra
              <lb/>
            uitatis centrum ſitin medio lineæ f g, uidelicet in e. </s>
            <s xml:space="preserve">Sphæ-
              <lb/>
            ræ igitur, uel ſphæroidis grauitatis centrum eſtidem, quod
              <lb/>
            centrum figuræ.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0154-01" xlink:href="fig-0154-01a">
              <image file="0154-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0154-01"/>
            </figure>
            <note position="left" xlink:label="note-0154-01" xlink:href="note-0154-01a" xml:space="preserve">per 2. pe-
              <lb/>
            titionem</note>
            <note position="left" xlink:label="note-0154-02" xlink:href="note-0154-02a" xml:space="preserve">4 Arch-
              <lb/>
            medis.</note>
          </div>
        </div>
      </text>
    </echo>