Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
181 35
182
183 36
184
185 37
186
187 38
188
189 39
190
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
201 45
202
203 46
204
205 47
206
207
208
209
210
< >
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>