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 |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div144" type="section" level="1" n="46">
          <p style="it">
            <s xml:id="echoid-s2028" xml:space="preserve">
              <pb file="0080" n="80" rhead="ARCHIMEDIS"/>
            cto continget. </s>
            <s xml:id="echoid-s2029" xml:space="preserve">Itaque iuncta cm producatur ad ſectionem a b c in p:
              <lb/>
            </s>
            <s xml:id="echoid-s2030" xml:space="preserve">& </s>
            <s xml:id="echoid-s2031" xml:space="preserve">à p ad a c ducatur p q, quæ ipſi b d æquidiſtet. </s>
            <s xml:id="echoid-s2032" xml:space="preserve">quoniam igi-
              <lb/>
            tur linea c h contingit ſectionem e f c in c puncto; </s>
            <s xml:id="echoid-s2033" xml:space="preserve">habebit l m
              <lb/>
            ad m d proportionem eandem, quam c d ad d e, ex quinta propoſi-
              <lb/>
            tione Archimedis in libro de quadratura parabolæ. </s>
            <s xml:id="echoid-s2034" xml:space="preserve">& </s>
            <s xml:id="echoid-s2035" xml:space="preserve">propter triá
              <lb/>
            gulorum c m d, c p q
              <lb/>
              <figure xlink:label="fig-0080-01" xlink:href="fig-0080-01a" number="50">
                <image file="0080-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0080-01"/>
              </figure>
            ſimilitudinem, ut c m
              <lb/>
            ad c d, ita erit c p ad
              <lb/>
            c q: </s>
            <s xml:id="echoid-s2036" xml:space="preserve">permutandôq;
              <lb/>
            </s>
            <s xml:id="echoid-s2037" xml:space="preserve">ut c m ad c p, ita c d
              <lb/>
            ad c q. </s>
            <s xml:id="echoid-s2038" xml:space="preserve">ut autem c m
              <lb/>
            ad c p, ſic c e ad c a: </s>
            <s xml:id="echoid-s2039" xml:space="preserve">
              <lb/>
            quod proxime demó-
              <lb/>
            ſtrauimus. </s>
            <s xml:id="echoid-s2040" xml:space="preserve">quare ut
              <lb/>
            c e ad c a, ſit c d ad
              <lb/>
            c q: </s>
            <s xml:id="echoid-s2041" xml:space="preserve">hoc eſt ut totum
              <lb/>
            ad totum, ſic pars ad
              <lb/>
            partem, reliquum igi
              <lb/>
            tur d e ad reliquum
              <lb/>
            q a eſt ut c e ad c a; </s>
            <s xml:id="echoid-s2042" xml:space="preserve">
              <lb/>
            uidelicet ut c d ad
              <lb/>
            c q: </s>
            <s xml:id="echoid-s2043" xml:space="preserve">& </s>
            <s xml:id="echoid-s2044" xml:space="preserve">permutando
              <lb/>
            c d ad d e, ut c q ad
              <lb/>
            q a. </s>
            <s xml:id="echoid-s2045" xml:space="preserve">êſtq; </s>
            <s xml:id="echoid-s2046" xml:space="preserve">l m ad m
              <lb/>
            d, ut c d ad d e. </s>
            <s xml:id="echoid-s2047" xml:space="preserve">ergo
              <lb/>
            l m ad m d, ut c q ad
              <lb/>
            q a. </s>
            <s xml:id="echoid-s2048" xml:space="preserve">ſed l b ad b d
              <lb/>
            ex quinta Archime-
              <lb/>
            dis, quam diximus; </s>
            <s xml:id="echoid-s2049" xml:space="preserve">
              <lb/>
            eſt ut c d ad d a. </s>
            <s xml:id="echoid-s2050" xml:space="preserve">con
              <lb/>
            ſtat igitur ex antece-
              <lb/>
            denti lemmate c d ad d q ita eſſe, ut l b ad b m. </s>
            <s xml:id="echoid-s2051" xml:space="preserve">ut autem c d ad d q,
              <lb/>
              <note position="left" xlink:label="note-0080-01" xlink:href="note-0080-01a" xml:space="preserve">2. ſexti.</note>
            ita c m ad m p. </s>
            <s xml:id="echoid-s2052" xml:space="preserve">ergo l b ad b m, ut c m ad m p. </s>
            <s xml:id="echoid-s2053" xml:space="preserve">Quòd cum demon
              <lb/>
            ſtratum fuerit, c m ad m p, ut c e ad e a: </s>
            <s xml:id="echoid-s2054" xml:space="preserve">habebit l b ad b m </s>
          </p>
        </div>
      </text>
    </echo>