Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
61 25
62
63 26
64
65 27
66
67 22
68
69 29
70
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
< >
page |< < (29) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div120" type="section" level="1" n="40">
          <p>
            <s xml:id="echoid-s1668" xml:space="preserve">
              <pb o="29" file="0069" n="69" rhead="DE IIS QVAE VEH. IN AQVA."/>
            interdũ quidem ita, ut baſis in humidum magis
              <lb/>
              <note position="right" xlink:label="note-0069-01" xlink:href="note-0069-01a" xml:space="preserve">C</note>
            demergatur: </s>
            <s xml:id="echoid-s1669" xml:space="preserve">interdum uero ita, ut ſuperficiem
              <lb/>
              <note position="right" xlink:label="note-0069-02" xlink:href="note-0069-02a" xml:space="preserve">D</note>
            humidi nullo modo contingat; </s>
            <s xml:id="echoid-s1670" xml:space="preserve">ſecundum pro-
              <lb/>
              <note position="right" xlink:label="note-0069-03" xlink:href="note-0069-03a" xml:space="preserve">E</note>
            portionem, quam habet ad humidum in grauita-
              <lb/>
            te. </s>
            <s xml:id="echoid-s1671" xml:space="preserve">Eorum quæ dicta ſunt, ſingula inferius de-
              <lb/>
            monſtrabuntur.</s>
            <s xml:id="echoid-s1672" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1673" xml:space="preserve">SIT portio qualis dicta eſt: </s>
            <s xml:id="echoid-s1674" xml:space="preserve">& </s>
            <s xml:id="echoid-s1675" xml:space="preserve">ſecta ipſa plano per axẽ.
              <lb/>
            </s>
            <s xml:id="echoid-s1676" xml:space="preserve">recto ad ſuperficiem humidi, ſectio ſit a p o l rectanguli co
              <lb/>
            ni ſeccio: </s>
            <s xml:id="echoid-s1677" xml:space="preserve">axis portionis, & </s>
            <s xml:id="echoid-s1678" xml:space="preserve">ſectionis diameter b d: </s>
            <s xml:id="echoid-s1679" xml:space="preserve">ſece-
              <lb/>
            turq; </s>
            <s xml:id="echoid-s1680" xml:space="preserve">b d in puncto quidem _k_ ita, ut b k dupla ſitipſius
              <lb/>
            _k_ d: </s>
            <s xml:id="echoid-s1681" xml:space="preserve">in c uero ita, ut b d ad
              <emph style="sc">K C</emph>
            proportionẽ habeat ean-
              <lb/>
            dem, quam quindecim ad quatuor. </s>
            <s xml:id="echoid-s1682" xml:space="preserve">conſtat igitur k c ma-
              <lb/>
              <note position="right" xlink:label="note-0069-04" xlink:href="note-0069-04a" xml:space="preserve">F</note>
            iorem eſſe, quàm quæ uſque ad axem. </s>
            <s xml:id="echoid-s1683" xml:space="preserve">Sit ei quæ uſque ad
              <lb/>
              <note position="right" xlink:label="note-0069-05" xlink:href="note-0069-05a" xml:space="preserve">G</note>
            axem æqualis k r: </s>
            <s xml:id="echoid-s1684" xml:space="preserve">& </s>
            <s xml:id="echoid-s1685" xml:space="preserve">ipſius k r ſeſquialtera d s. </s>
            <s xml:id="echoid-s1686" xml:space="preserve">Eſt autem
              <lb/>
              <note position="right" xlink:label="note-0069-06" xlink:href="note-0069-06a" xml:space="preserve">H</note>
            & </s>
            <s xml:id="echoid-s1687" xml:space="preserve">s b ſeſquial-
              <lb/>
              <figure xlink:label="fig-0069-01" xlink:href="fig-0069-01a" number="43">
                <image file="0069-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0069-01"/>
              </figure>
            tera ipſius b r.
              <lb/>
            </s>
            <s xml:id="echoid-s1688" xml:space="preserve">Itaque iũgatur
              <lb/>
            a b, & </s>
            <s xml:id="echoid-s1689" xml:space="preserve">per c du
              <lb/>
            catur c e per-
              <lb/>
            pẽdicularis ad
              <lb/>
            b d, quæ lineã
              <lb/>
            a b in puncto
              <lb/>
            e ſecet: </s>
            <s xml:id="echoid-s1690" xml:space="preserve">& </s>
            <s xml:id="echoid-s1691" xml:space="preserve">per
              <lb/>
            e ducatur e z
              <lb/>
            æquidiſtãs b d. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">
              <lb/>
            Rurſus ipſa a b
              <lb/>
            bifariã in t di-
              <lb/>
            uiſa, ducatur t
              <lb/>
            h eidem b d æ-
              <lb/>
            quidiſtans: </s>
            <s xml:id="echoid-s1693" xml:space="preserve">& </s>
            <s xml:id="echoid-s1694" xml:space="preserve">
              <lb/>
            intelligantur rectanguli coni ſectiones deſcriptæ a e i </s>
          </p>
        </div>
      </text>
    </echo>