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
401 362
402 363
403 364
404 365
405 366
406 367
407 368
408 369
409 370
410 371
411 372
412 373
413 374
414
415
416
417
418 379
419 380
420 381
421 382
422 383
423
424 385
425 386
426 387
427 388
428 389
429 390
430 391
< >
page |< < (368) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1082" type="section" level="1" n="342">
          <p style="it">
            <s xml:id="echoid-s12551" xml:space="preserve">
              <pb o="368" file="0406" n="407" rhead="Apollonij Pergæi"/>
            C E, & </s>
            <s xml:id="echoid-s12552" xml:space="preserve">C M, termini E, & </s>
            <s xml:id="echoid-s12553" xml:space="preserve">M cadent inter D, & </s>
            <s xml:id="echoid-s12554" xml:space="preserve">A, & </s>
            <s xml:id="echoid-s12555" xml:space="preserve">M cadat inter
              <lb/>
            E & </s>
            <s xml:id="echoid-s12556" xml:space="preserve">D, propterea M H ad M D maiorem proportionem habebit, quàm H E
              <lb/>
              <figure xlink:label="fig-0406-01" xlink:href="fig-0406-01a" number="480">
                <image file="0406-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-01"/>
              </figure>
            ad E D, igitur differentia quadratorum laterum figuræ P Q minor erit diffe-
              <lb/>
              <note position="left" xlink:label="note-0406-01" xlink:href="note-0406-01a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rentia quadratorum laterum figuræ I L, vel figuræ A C.</s>
            <s xml:id="echoid-s12557" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12558" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <figure xlink:label="fig-0406-02" xlink:href="fig-0406-02a" number="481">
                <image file="0406-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-02"/>
              </figure>
              <note position="left" xlink:label="note-0406-02" xlink:href="note-0406-02a" xml:space="preserve">PROP. 9.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum la-
              <lb/>
            terum figuræ eius æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum figuræ
              <lb/>
            axis maioris A C.</s>
            <s xml:id="echoid-s12559" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12560" xml:space="preserve">Secetur H D in e, vt H e ad e D
              <lb/>
            eandem proportionem babeat, quàm
              <lb/>
            H A ad A D, & </s>
            <s xml:id="echoid-s12561" xml:space="preserve">ex puncto e educa-
              <lb/>
            tur ad axim perpendicularis e h occur-
              <lb/>
            rens ſectioni in h, & </s>
            <s xml:id="echoid-s12562" xml:space="preserve">coniungatur a
              <lb/>
            h, quàm bifariam ſecet diameter f d,
              <lb/>
            cuius erectus d g: </s>
            <s xml:id="echoid-s12563" xml:space="preserve">dico diametrum,
              <lb/>
            f d eße quæſitam. </s>
            <s xml:id="echoid-s12564" xml:space="preserve">Quia H e ad e D
              <lb/>
            eandem proportionem habet, quàm H
              <lb/>
            A ad A D, ergo differentia quadrato-
              <lb/>
              <note position="left" xlink:label="note-0406-03" xlink:href="note-0406-03a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rum ex f d, & </s>
            <s xml:id="echoid-s12565" xml:space="preserve">ex d g æqualis eſt dif-
              <lb/>
            ferentiæ quadratorum ex A C, & </s>
            <s xml:id="echoid-s12566" xml:space="preserve">ex
              <lb/>
            A F, quod erat propoſitum.</s>
            <s xml:id="echoid-s12567" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12568" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <note position="left" xlink:label="note-0406-04" xlink:href="note-0406-04a" xml:space="preserve">PROP.
                <lb/>
              10.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum late-
              <lb/>
            rum eius figuræ æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum </s>
          </p>
        </div>
      </text>
    </echo>
Impressum