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="71">
          <p>
            <s xml:space="preserve">
              <pb file="0128" n="128" rhead="FED. COMMANDINI"/>
            ergo linea a g continenter in duas partes æquales diui-
              <lb/>
              <anchor type="note" xlink:label="note-0128-01a" xlink:href="note-0128-01"/>
            ſa, relinquetur tãdem pars aliqua n g, quæ minor eritl m.
              <lb/>
            </s>
            <s xml:space="preserve">Vtraque uero linearum a g, g b diuidatur in partes æqua-
              <lb/>
            les ipſi n g: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per puncta diuiſionum plana oppoſitis pla-
              <lb/>
              <anchor type="note" xlink:label="note-0128-02a" xlink:href="note-0128-02"/>
            nis æquidiſtantia ducantur. </s>
            <s xml:space="preserve">erunt ſectiones figuræ æqua-
              <lb/>
            les, ac ſimiles ipſis a c e, b d f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">totum priſma diuiſum erit
              <lb/>
            in priſmata æqualia, & </s>
            <s xml:space="preserve">ſimilia: </s>
            <s xml:space="preserve">quæ cum inter ſe congruãt;
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">grauitatis centra ſibi ipſis congruentia, reſpondentiaq; </s>
            <s xml:space="preserve">
              <lb/>
            habebunt. </s>
            <s xml:space="preserve">Itaq: </s>
            <s xml:space="preserve">
              <lb/>
              <anchor type="figure" xlink:label="fig-0128-01a" xlink:href="fig-0128-01"/>
            ſunt magnitudi-
              <lb/>
            nes quædã æqua-
              <lb/>
            les ipſi n h, & </s>
            <s xml:space="preserve">nu-
              <lb/>
            mero pares, qua-
              <lb/>
            rum centra gra-
              <lb/>
            uitatis in eadẽ re
              <lb/>
            cta linea conſti-
              <lb/>
            tuuntur: </s>
            <s xml:space="preserve">duæ ue-
              <lb/>
            ro mediæ æqua-
              <lb/>
            les ſunt: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quæ ex
              <lb/>
            utraque parte i-
              <lb/>
            pſarum ſimili --
              <lb/>
            ter æquales: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">æ-
              <lb/>
            quales rectæ li-
              <lb/>
            neæ, quæ inter
              <lb/>
            grauitatis centra
              <lb/>
            interiiciuntur.
              <lb/>
            </s>
            <s xml:space="preserve">quare ex corolla-
              <lb/>
            rio quintæ pro-
              <lb/>
            poſitionis primi
              <lb/>
            libri Archimedis
              <lb/>
            de centro graui-
              <lb/>
            tatis planorum; </s>
            <s xml:space="preserve">magnitudinis ex his omnibus compoſitæ
              <lb/>
            centrum grauitatis eſt in medio lineæ, quæ magnitudi-
              <lb/>
            num mediarum centra coniungit. </s>
            <s xml:space="preserve">at qui non ita res ha-</s>
          </p>
        </div>
      </text>
    </echo>