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
421 382
422 383
423
424 385
425 386
426 387
427 388
428 389
429 390
430 391
431 392
432 393
433 394
434 395
435 396
436 397
437 398
438 399
439 400
440 401
441 402
442 403
443 404
444 405
445 406
446 407
447 408
448 409
449 410
450 411
< >
page |< < (176) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div635" type="section" level="1" n="211">
          <p>
            <s xml:id="echoid-s6763" xml:space="preserve">
              <pb o="176" file="0214" n="214" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0214-01" xlink:href="fig-0214-01a" number="237">
                <image file="0214-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-01"/>
              </figure>
            tum potentialis I B, vt H L in L O, ſeu L V in L D ad quadratum L
              <lb/>
            D, eò quod quælibet ex dictis proportionibus eadem eſt proportioni fi-
              <lb/>
            guræ K A, & </s>
            <s xml:id="echoid-s6764" xml:space="preserve">M C (39. </s>
            <s xml:id="echoid-s6765" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6766" xml:space="preserve">, ergo T I ad I B eſt, vt V L ad L D, & </s>
            <s xml:id="echoid-s6767" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0214-01" xlink:href="note-0214-01a" xml:space="preserve">37. lib. 1.</note>
            angulus I, qui æqualis eſt ipſi R A G æqualis eſt angulo L, qui æqualis
              <lb/>
            eſt S C H; </s>
            <s xml:id="echoid-s6768" xml:space="preserve">igitur angulus G æqualis etiam eſt angulo H: </s>
            <s xml:id="echoid-s6769" xml:space="preserve">& </s>
            <s xml:id="echoid-s6770" xml:space="preserve">propterea
              <lb/>
              <note position="left" xlink:label="note-0214-02" xlink:href="note-0214-02a" xml:space="preserve">Propoſ. 2.
                <lb/>
              præmiſſ.</note>
            G A R ſimile eſt H C S, & </s>
            <s xml:id="echoid-s6771" xml:space="preserve">pariter G A P, H C Q ſunt ſimilia, quia P, Q
              <lb/>
            ſunt recti, vnde A P R, C Q S ſunt etiã ſimilia, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">proportio vniuſcuiuſq;
              <lb/>
            </s>
            <s xml:id="echoid-s6773" xml:space="preserve">eorum, nempe G P, P R ad P A, eſt, vt proportio H Q, S Q ad C Q; </s>
            <s xml:id="echoid-s6774" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0214-03" xlink:href="note-0214-03a" xml:space="preserve">c</note>
            igitur G P in P R ad quadratum P A, nempe B E ad erectum illius (39.
              <lb/>
            </s>
            <s xml:id="echoid-s6775" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s6776" xml:space="preserve">eſt vt H Q in Q S ad quadratum C Q, nempe D F ad erectum
              <lb/>
            illius (39. </s>
            <s xml:id="echoid-s6777" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6778" xml:space="preserve">; </s>
            <s xml:id="echoid-s6779" xml:space="preserve">igitur
              <lb/>
              <note position="left" xlink:label="note-0214-04" xlink:href="note-0214-04a" xml:space="preserve">37. lib. 1.</note>
              <figure xlink:label="fig-0214-02" xlink:href="fig-0214-02a" number="238">
                <image file="0214-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-02"/>
              </figure>
            figuræ duorum axiũ ſunt
              <lb/>
            ſimiles, & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">duæ ſectiones
              <lb/>
            ſimiles ſunt (12. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">ex 6.</s>
            <s xml:id="echoid-s6782" xml:space="preserve">(
              <lb/>
            ſed oportet in ellipſi, vt
              <lb/>
            duæ diametri, ideoque
              <lb/>
            duo axes ſint ſimul aut
              <lb/>
            tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Et hoc erat propoſi-
              <lb/>
            tum.</s>
            <s xml:id="echoid-s6784" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum