Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
161 25
162
163 26
164
165 27
166
167 28
168
169 29
170
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
< >
page |< < of 213 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="31">
          <p style="it">
            <s xml:space="preserve">
              <pb file="0048" n="48" rhead="ARCHIMEDIS"/>
            Quoniam enim triangula afd, akg, anl ſi-
              <lb/>
              <anchor type="figure" xlink:label="fig-0048-01a" xlink:href="fig-0048-01"/>
            milia ſunt; </s>
            <s xml:space="preserve">itémq; </s>
            <s xml:space="preserve">ſimilia efd, h k g, mnl:
              <lb/>
            </s>
            <s xml:space="preserve">erit ut af ad fd, ita ak ad kg; </s>
            <s xml:space="preserve">ut autem fd
              <lb/>
              <anchor type="note" xlink:label="note-0048-01a" xlink:href="note-0048-01"/>
            ad fe, ita kg ad kh. </s>
            <s xml:space="preserve">quare ex æquali ut af
              <lb/>
            ad fe, ita ak ad kh: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per conuerſionem ra-
              <lb/>
            tionis ut af ad ae, ita ak ad ah. </s>
            <s xml:space="preserve">eodem
              <lb/>
            modo oſtendetur, ut af ad a e, ita an ad am.
              <lb/>
            </s>
            <s xml:space="preserve">cum igitur an ad am ſit, ut a k ad a h; </s>
            <s xml:space="preserve">erit
              <lb/>
              <anchor type="note" xlink:label="note-0048-02a" xlink:href="note-0048-02"/>
            reliqua kn ad reliquam h m, hoc eſt ad g q,
              <lb/>
            uel o p, ut a n ad a m; </s>
            <s xml:space="preserve">hoc estut a f ad a e.
              <lb/>
            </s>
            <s xml:space="preserve">rurſus a k ad a h est, ut a f ad a e. </s>
            <s xml:space="preserve">er-
              <lb/>
            go reliqua f k ad e h reliquam, uidelicet
              <lb/>
            ad do, ut a f ad a e. </s>
            <s xml:space="preserve">Similiter demonſtrabi-
              <lb/>
            mus ita eſſe fn ad d p. </s>
            <s xml:space="preserve">quod quidem demonſtra
              <lb/>
            re oportebat.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0048-01" xlink:href="fig-0048-01a">
              <image file="0048-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0048-01"/>
            </figure>
            <note position="left" xlink:label="note-0048-01" xlink:href="note-0048-01a" xml:space="preserve">4. ſexti.</note>
            <note position="left" xlink:label="note-0048-02" xlink:href="note-0048-02a" xml:space="preserve">19. quinti</note>
          </div>
        </div>
        <div type="section" level="1" n="32">
          <head xml:space="preserve">LEMMA II.</head>
          <p style="it">
            <s xml:space="preserve">Sint in eadem linea a b puncta
              <lb/>
              <anchor type="figure" xlink:label="fig-0048-02a" xlink:href="fig-0048-02"/>
            duo r s ita diſpoſita, ut a s ad a r
              <lb/>
            eandem proportionem habeat, quam
              <lb/>
            a f ad ae: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per r ducatur rtipſi
              <lb/>
            e d æquidiſtans; </s>
            <s xml:space="preserve">per s uero ducatur
              <lb/>
            s t æquidiſtans fd, ita ut cum r t in
              <lb/>
            t puncto conueniat. </s>
            <s xml:space="preserve">Dico punctum t
              <lb/>
            cadere in lineam a c.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0048-02" xlink:href="fig-0048-02a">
              <image file="0048-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0048-02"/>
            </figure>
          </div>
          <p style="it">
            <s xml:space="preserve">Si enim fieri potest, cadat citra: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">produca
              <lb/>
            tur rt uſque ad ipſam a c in u. </s>
            <s xml:space="preserve">deinde per u
              <lb/>
            ducatur u x ipſi f d æquidiſtans. </s>
            <s xml:space="preserve">Itaque ex
              <lb/>
            ijs, quæ proxime demonstrauimus a x ad ar</s>
          </p>
        </div>
      </text>
    </echo>
Impressum