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

Table of figures

< >
[Figure 351]
Page: 304
[Figure 352]
Page: 305
[Figure 353]
Page: 306
[Figure 354]
Page: 306
[Figure 355]
Page: 307
[Figure 356]
Page: 308
[Figure 357]
Page: 310
[Figure 358]
Page: 311
[Figure 359]
Page: 311
[Figure 360]
Page: 312
[Figure 361]
Page: 313
[Figure 362]
Page: 314
[Figure 363]
Page: 314
[Figure 364]
Page: 315
[Figure 365]
Page: 316
[Figure 366]
Page: 317
[Figure 367]
Page: 317
[Figure 368]
Page: 318
[Figure 369]
Page: 318
[Figure 370]
Page: 319
[Figure 371]
Page: 319
[Figure 372]
Page: 320
[Figure 373]
Page: 321
[Figure 374]
Page: 322
[Figure 375]
Page: 323
[Figure 376]
Page: 324
[Figure 377]
Page: 325
[Figure 378]
Page: 326
[Figure 379]
Page: 327
[Figure 380]
Page: 328
< >
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