Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
131 10
132
133 11
134
135 12
136
137 13
138
139 14
140
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
< >
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>
Impressum