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 |< < (13) of 213 > >|
DE IIS QVAE VEH. IN AQVA.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="24">
          <p>
            <s xml:space="preserve">
              <pb o="13" file="0037" n="37" rhead="DE IIS QVAE VEH. IN AQVA."/>
            b: </s>
            <s xml:space="preserve">iunctaq; </s>
            <s xml:space="preserve">br producatur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit g centrum grauitatis
              <lb/>
            reliquæ figuræ isla. </s>
            <s xml:space="preserve">ſimiliter demonſtrabitur angulum
              <lb/>
            rok acutu eſ-
              <lb/>
              <anchor type="figure" xlink:label="fig-0037-01a" xlink:href="fig-0037-01"/>
            ſe: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">perpendi
              <lb/>
            culare ab r ad
              <lb/>
            k ω ductam ca
              <lb/>
            dereinter k & </s>
            <s xml:space="preserve">
              <lb/>
            o, quæ ſit rt.
              <lb/>
            </s>
            <s xml:space="preserve">ſi autem à pun
              <lb/>
            ctis g b ducan
              <lb/>
            tur ipſi r t æqui
              <lb/>
            diſtantes; </s>
            <s xml:space="preserve">pars
              <lb/>
            quidem ſolidæ
              <lb/>
            magnitudinis,
              <lb/>
            quæ in humido eſt, ſurſum feretur ſecundum perpendicu-
              <lb/>
            larem per g ductam: </s>
            <s xml:space="preserve">quæ autem extra humidum ſecundũ
              <lb/>
            perpendicularem per b deorſum feretur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">non manebit
              <lb/>
            ſolidum a p o l ſic habens in humido: </s>
            <s xml:space="preserve">ſed quod quidem
              <lb/>
            eſt ad a feretur ſurſum: </s>
            <s xml:space="preserve">quod autem ad l deorſum, donec
              <lb/>
            p f fiat ſecundum perpendicularem.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0037-01" xlink:href="fig-0037-01a">
              <image file="0037-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0037-01"/>
            </figure>
          </div>
        </div>
        <div type="section" level="1" n="25">
          <head xml:space="preserve">PROPOSITIO IIII.</head>
          <p>
            <s xml:space="preserve">
              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
              <lb/>
            fuerit humido leuior, & </s>
            <s xml:space="preserve">axem habuerit maiorẽ,
              <lb/>
            qnàm ſeſquialterum eius, quæ uſque ad axem: </s>
            <s xml:space="preserve">ſi
              <lb/>
            in grauitate ad humidum æqualis molis non mi-
              <lb/>
            norem proportionem habeat ea, quàm quadra-
              <lb/>
            tũ, quod fit ab exceſſu, quo axis maior eſt, quàm
              <lb/>
            ſeſquialter eius, quæ uſque ad axẽ, habet ad qua-
              <lb/>
            dratum, quod ab axe; </s>
            <s xml:space="preserve">demiſſa in humidum, ita</s>
          </p>
        </div>
      </text>
    </echo>