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
441 402
442 403
443 404
444 405
445 406
446 407
447 408
448 409
449 410
450 411
451 412
452 413
453 414
454 415
455
456
457
< >
page |< < (90) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div346" type="section" level="1" n="112">
          <pb o="90" file="0128" n="128" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div350" type="section" level="1" n="113">
          <head xml:id="echoid-head156" xml:space="preserve">PROPOSITO LXXIV.</head>
          <p>
            <s xml:id="echoid-s3705" xml:space="preserve">DEinde ſint E H, E G duo breuiſecantes, & </s>
            <s xml:id="echoid-s3706" xml:space="preserve">E G ſecet
              <lb/>
            rectum B D. </s>
            <s xml:id="echoid-s3707" xml:space="preserve">Dico, quod E G eſt maximus ramorum,
              <lb/>
            egredientium ex E ad ſectioncm A B C, & </s>
            <s xml:id="echoid-s3708" xml:space="preserve">E C eſt minimus.</s>
            <s xml:id="echoid-s3709" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3710" xml:space="preserve">Producatur perpendicularis E F, quæ non cadet ſuper centrum; </s>
            <s xml:id="echoid-s3711" xml:space="preserve">ſi e-
              <lb/>
            nim per centrum duceretur, duci poſſet ex E, aut vnicus breuiſecans
              <lb/>
              <note position="left" xlink:label="note-0128-01" xlink:href="note-0128-01a" xml:space="preserve">Ex 45.
                <lb/>
              huius.</note>
            tantum (44. </s>
            <s xml:id="echoid-s3712" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3713" xml:space="preserve">aut tres (45. </s>
            <s xml:id="echoid-s3714" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3715" xml:space="preserve">quod eſt contra hypotheſin; </s>
            <s xml:id="echoid-s3716" xml:space="preserve">er-
              <lb/>
              <note position="right" xlink:label="note-0128-02" xlink:href="note-0128-02a" xml:space="preserve">a</note>
            go E F per centrum non tranſit, cadat ſuper C D; </s>
            <s xml:id="echoid-s3717" xml:space="preserve">& </s>
            <s xml:id="echoid-s3718" xml:space="preserve">quia ducuntur ex
              <lb/>
            E duo breuiſecantes, erit C F maior dimidio erecti, & </s>
            <s xml:id="echoid-s3719" xml:space="preserve">E F æqualis Tru-
              <lb/>
            tinæ (52. </s>
            <s xml:id="echoid-s3720" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3721" xml:space="preserve">patet itaquè, vti antea demonſtrauimus, quod E G
              <lb/>
            maximus ſit ramorũ, & </s>
            <s xml:id="echoid-s3722" xml:space="preserve">E C minimus; </s>
            <s xml:id="echoid-s3723" xml:space="preserve">atquè propinquior maximo, maior
              <lb/>
            eſt, & </s>
            <s xml:id="echoid-s3724" xml:space="preserve">propinquior minimo, eſt minor.</s>
            <s xml:id="echoid-s3725" xml:space="preserve"/>
          </p>
          <figure number="111">
            <image file="0128-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0128-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div352" type="section" level="1" n="114">
          <head xml:id="echoid-head157" xml:space="preserve">PROPOSITO LXXV.</head>
          <p>
            <s xml:id="echoid-s3726" xml:space="preserve">POſtea educamus ex E tres breuiſecantes E G, E H, E I,
              <lb/>
              <note position="right" xlink:label="note-0128-03" xlink:href="note-0128-03a" xml:space="preserve">a</note>
            & </s>
            <s xml:id="echoid-s3727" xml:space="preserve">ſecent E I, E H menſuram, & </s>
            <s xml:id="echoid-s3728" xml:space="preserve">E G ſecet rectum in L.
              <lb/>
            </s>
            <s xml:id="echoid-s3729" xml:space="preserve">Dico, quod E G eſt maximus ramorum egredientium ex E
              <unsure/>
            ad
              <lb/>
            ſectionem A B C, & </s>
            <s xml:id="echoid-s3730" xml:space="preserve">ramorum inter A H cadentium propin-
              <lb/>
            quiores illi, maiores ſunt remotioribus, & </s>
            <s xml:id="echoid-s3731" xml:space="preserve">E I eſt maximus ra-
              <lb/>
            morum egredientium ad ſectionem H C, & </s>
            <s xml:id="echoid-s3732" xml:space="preserve">illi propinquiores
              <lb/>
            maiores ſunt remotioribus.</s>
            <s xml:id="echoid-s3733" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum