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
261 223
262 224
263 225
264 226
265 227
266 228
267 229
268 230
269 231
270 232
271 233
272 234
273 235
274 236
275 237
276 238
277 239
278 240
279 241
280 242
281 243
282 244
283 245
284 246
285 247
286 248
287 249
288 250
289 251
290 252
< >
page |< < (320) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div969" type="section" level="1" n="307">
          <p style="it">
            <s xml:id="echoid-s11381" xml:space="preserve">
              <pb o="320" file="0358" n="359" rhead="Apollonij Pergæi"/>
            G E, & </s>
            <s xml:id="echoid-s11382" xml:space="preserve">componendo O H ad E H, ſeu rectangulum O H A ad rectangulum
              <lb/>
            E H A, erit vt rectangulum ſub G E, & </s>
            <s xml:id="echoid-s11383" xml:space="preserve">G O in O E vna cum quadrato E
              <lb/>
            G, ſeu vt quadratum ex O G ad quadratum ex G E, & </s>
            <s xml:id="echoid-s11384" xml:space="preserve">permutando rectangu-
              <lb/>
            lum A H O ad quadratum O G, erit vt rectangulum E H A ad quadratum G
              <lb/>
            E, ſed vt rectangulum O H A ad quadratum O G, ita eſt quadratum A C ad
              <lb/>
              <note position="left" xlink:label="note-0358-01" xlink:href="note-0358-01a" xml:space="preserve">15. huius.
                <lb/>
              ex Def. &
                <lb/>
              15. huius.</note>
            quadratum P K, & </s>
            <s xml:id="echoid-s11385" xml:space="preserve">vt rectangulum E H A ad quadratnm ex G E, ſeu vt
              <lb/>
            quadratum A C ad quadratum A F, vel ex I K; </s>
            <s xml:id="echoid-s11386" xml:space="preserve">quapropter idem quadratum
              <lb/>
            A C ad quadratum ex P K, atque ad quadratum ex A F vel I K eandem pro-
              <lb/>
            portionem habet, & </s>
            <s xml:id="echoid-s11387" xml:space="preserve">ideo quadrata ipſa æqualia ſunt, & </s>
            <s xml:id="echoid-s11388" xml:space="preserve">eorum latera P K; </s>
            <s xml:id="echoid-s11389" xml:space="preserve">& </s>
            <s xml:id="echoid-s11390" xml:space="preserve">
              <lb/>
            A F, vel I K pariter æqualia erunt.</s>
            <s xml:id="echoid-s11391" xml:space="preserve"/>
          </p>
          <figure number="426">
            <image file="0358-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0358-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s11392" xml:space="preserve">Eodem modo quando rectangulum ſub O G E in E H maius eſt quadrato G
              <lb/>
            E, tunc quidem idem rectangulum, cuius altitudo O G E, baſis vero O E, ad
              <lb/>
            rectangulum, cuius altitudo O G E, baſis verò E H, ſeu O E ad E H, mino-
              <lb/>
            rem proportionem habebit, quàm ad quadratum E G, & </s>
            <s xml:id="echoid-s11393" xml:space="preserve">componendo, atque
              <lb/>
            permutando, vt prius factum eſt, habebit rectangulum O H A ad quadratum
              <lb/>
            O G, ſiue quadratum A C ad quadratum P K minorem proportionem, quàm
              <lb/>
            rectangulum E H A ad quadratum G E, ſeu quàm quadratum A C ad qua-
              <lb/>
              <note position="left" xlink:label="note-0358-02" xlink:href="note-0358-02a" xml:space="preserve">15. huius.</note>
            dratum A F, vel I K, & </s>
            <s xml:id="echoid-s11394" xml:space="preserve">propterea P K maior erit, quàm A F, vel I K.</s>
            <s xml:id="echoid-s11395" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11396" xml:space="preserve">Quando verò rectangulum ſub E G O in E H minus eſt quadrato E G, tunc
              <lb/>
            quidem oſtendetur eodem progreſſu quadratum P K minus eſſe quadrato A F,
              <lb/>
            vel I K, quod erat propoſitum.</s>
            <s xml:id="echoid-s11397" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div973" type="section" level="1" n="308">
          <head xml:id="echoid-head381" xml:space="preserve">Notæ in Propof. XXXIII. & XXXIV.</head>
          <p style="it">
            <s xml:id="echoid-s11398" xml:space="preserve">QVoniam ex hypoteſi C A minor non eſt medietate ipſius A F, eſtque A H
              <lb/>
            ad A G, vt C A, ad A F, ergo A H maior, aut æqualis eſt medietati
              <lb/>
              <note position="left" xlink:label="note-0358-03" xlink:href="note-0358-03a" xml:space="preserve">Def. 2.
                <lb/>
              huius.</note>
            ipſius A G, & </s>
            <s xml:id="echoid-s11399" xml:space="preserve">ideo A H maior, aut æqualis eſt reſiduo H G, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum