Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

Page concordance

< >
Scan Original
241 203
242 204
243 205
244 206
245 207
246 208
247 209
248 210
249 211
250 212
251 213
252 214
253 215
254 216
255 217
256 218
257 219
258 220
259 221
260 222
261 223
262 224
263 225
264 226
265 227
266 228
267 229
268 230
269 231
270 232
< >
page |< < (206) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div701" type="section" level="1" n="230">
          <p style="it">
            <s xml:id="echoid-s7737" xml:space="preserve">
              <pb o="206" file="0244" n="244" rhead="Apollonij Pergæi"/>
            ſeu axium (in hoc caſu) L B, & </s>
            <s xml:id="echoid-s7738" xml:space="preserve">M E ſiguræ ſimiles inter ſe; </s>
            <s xml:id="echoid-s7739" xml:space="preserve">& </s>
            <s xml:id="echoid-s7740" xml:space="preserve">ideò ſectiones
              <lb/>
              <note position="left" xlink:label="note-0244-01" xlink:href="note-0244-01a" xml:space="preserve">ex 11. 12.
                <lb/>
              huius.</note>
            A B C, & </s>
            <s xml:id="echoid-s7741" xml:space="preserve">D E F ſimiles erunt.</s>
            <s xml:id="echoid-s7742" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7743" xml:space="preserve">Itaque propter ſimilitudinem duorum ſegmẽtorum ſimlia erunt B N L,
              <lb/>
              <note position="right" xlink:label="note-0244-02" xlink:href="note-0244-02a" xml:space="preserve">b</note>
            E O M, & </s>
            <s xml:id="echoid-s7744" xml:space="preserve">pariter L B P, & </s>
            <s xml:id="echoid-s7745" xml:space="preserve">M E Q atque quadratum B P ad L P in P
              <lb/>
            N nempe, &</s>
            <s xml:id="echoid-s7746" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7747" xml:space="preserve">Huius ſecundæ partis demonſtrationem, quàm non ſinceram Pa-
              <lb/>
            raphraſtes Arabicus nobis tranſmiſit omittere opere pretium erit, eandemq; </s>
            <s xml:id="echoid-s7748" xml:space="preserve">bre-
              <lb/>
              <figure xlink:label="fig-0244-01" xlink:href="fig-0244-01a" number="279">
                <image file="0244-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-01"/>
              </figure>
            uius demonſtrare hac ratione. </s>
            <s xml:id="echoid-s7749" xml:space="preserve">Quia ſegmenta C B G, & </s>
            <s xml:id="echoid-s7750" xml:space="preserve">F E H ſimilia ponun-
              <lb/>
            tur; </s>
            <s xml:id="echoid-s7751" xml:space="preserve">ergo erunt figuræ diametrorum B I, E K ſimiles inter ſe in angulis I, K
              <lb/>
              <note position="left" xlink:label="note-0244-03" xlink:href="note-0244-03a" xml:space="preserve">Lem. 8.
                <lb/>
              huius.</note>
            æqualibus, & </s>
            <s xml:id="echoid-s7752" xml:space="preserve">ſectiones ipſæ C B G, & </s>
            <s xml:id="echoid-s7753" xml:space="preserve">F E H ſimiles inter ſe erunt; </s>
            <s xml:id="echoid-s7754" xml:space="preserve">quod eſt
              <lb/>
              <note position="left" xlink:label="note-0244-04" xlink:href="note-0244-04a" xml:space="preserve">Prop. 15.
                <lb/>
              huius.</note>
            contra hypotheſin.</s>
            <s xml:id="echoid-s7755" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div704" type="section" level="1" n="231">
          <head xml:id="echoid-head291" xml:space="preserve">Notæ in Propoſit. XXIII.</head>
          <p style="it">
            <s xml:id="echoid-s7756" xml:space="preserve">SI enim ſimilia eſſent haberent conditiones ſimilitudinis, quod eſt im-
              <lb/>
              <note position="right" xlink:label="note-0244-05" xlink:href="note-0244-05a" xml:space="preserve">a</note>
            poſſibile, &</s>
            <s xml:id="echoid-s7757" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7758" xml:space="preserve">Si enim concedantur ſegmenta G B C in parabola, & </s>
            <s xml:id="echoid-s7759" xml:space="preserve">H E
              <lb/>
            F in hyperbole, vel ellipſi, ſimilia inter ſe; </s>
            <s xml:id="echoid-s7760" xml:space="preserve">igitur in vnaquaque earũ duci poſ-
              <lb/>
              <note position="left" xlink:label="note-0244-06" xlink:href="note-0244-06a" xml:space="preserve">Defin. 7.
                <lb/>
              huius.</note>
            ſent ad diametros ordinatim applicatæ numero æquales, efficientes angulos æqua-
              <lb/>
              <figure xlink:label="fig-0244-02" xlink:href="fig-0244-02a" number="280">
                <image file="0244-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0244-02"/>
              </figure>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum