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
361 322
362 323
363 324
364 325
365 326
366 327
367 328
368 329
369 330
370 331
371 332
372 333
373 334
374 335
375 336
376 337
377 338
378 339
379 340
380 341
381 342
382 343
383 344
384 345
385 346
386 347
387 348
388 349
389 350
390 351
< >
page |< < (330) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div996" type="section" level="1" n="316">
          <p style="it">
            <s xml:id="echoid-s11611" xml:space="preserve">
              <pb o="330" file="0368" n="369" rhead="Apollonij Pergæi"/>
            permutando vt prius, idem quadratum A C ad quadratum ex Q P R, maiorem
              <lb/>
            proportionem habebit, quàm ad quadratum ex C A F, ſeu ex L I K, & </s>
            <s xml:id="echoid-s11612" xml:space="preserve">pro-
              <lb/>
            pterea ſumma Q P R minor erit, quàm C A F, vel L I K, quæ erat oſten-
              <lb/>
            denda.</s>
            <s xml:id="echoid-s11613" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div998" type="section" level="1" n="317">
          <head xml:id="echoid-head392" xml:space="preserve">Notæ in Propoſit. XXXVIII. XXXIX.</head>
          <p style="it">
            <s xml:id="echoid-s11614" xml:space="preserve">QVia axis C A minor non eſt triente eius erecti A F, eſtq; </s>
            <s xml:id="echoid-s11615" xml:space="preserve">H A ad A G vt C A
              <lb/>
            ad A F, ergo H A æqualis, aut maior eſt parte tertia ipſius A G; </s>
            <s xml:id="echoid-s11616" xml:space="preserve">& </s>
            <s xml:id="echoid-s11617" xml:space="preserve">A H
              <lb/>
            æqualis, aut maior erit, quàm ſemiſſis ipſius H G differentiæ illa-
              <lb/>
            rum, eſtque G H ſecta bifariam in D, ergo H A æqualis, aut maior erit,
              <lb/>
              <figure xlink:label="fig-0368-01" xlink:href="fig-0368-01a" number="437">
                <image file="0368-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0368-01"/>
              </figure>
            quàm D H, eſtque H E maior quàm H A, ergo pariter H E maior eſt, quàm
              <lb/>
              <note position="left" xlink:label="note-0368-01" xlink:href="note-0368-01a" xml:space="preserve">Lem. 6.</note>
            D H, quare rectangulum ſub E D A in A H maius erit quadrato D A, atque
              <lb/>
            ſumma laterum figuræ L I K maior, quàm ſumma laterum figuræ axis C A F.</s>
            <s xml:id="echoid-s11618" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Lem. 9.</note>
          <p style="it">
            <s xml:id="echoid-s11619" xml:space="preserve">Similiter quia H M maior eſt, quàm H E, erit quoque H M maior, quàm
              <lb/>
            D H, & </s>
            <s xml:id="echoid-s11620" xml:space="preserve">propterea ex lemma 6. </s>
            <s xml:id="echoid-s11621" xml:space="preserve">& </s>
            <s xml:id="echoid-s11622" xml:space="preserve">9. </s>
            <s xml:id="echoid-s11623" xml:space="preserve">ſumma Q P R maior erit, quàm ſum-
              <lb/>
            ma L I K.</s>
            <s xml:id="echoid-s11624" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1000" type="section" level="1" n="318">
          <head xml:id="echoid-head393" xml:space="preserve">Notæ in Propoſit. XXXX.</head>
          <p style="it">
            <s xml:id="echoid-s11625" xml:space="preserve">QVia C A minor eſt triente ipſius A F, eſtque H A ad A G vt C A ad A
              <lb/>
            F, ergo H A minor eſt tertia parte ipſius A G, & </s>
            <s xml:id="echoid-s11626" xml:space="preserve">minor ſemiſſe </s>
          </p>
        </div>
      </text>
    </echo>
Impressum