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 481]
Page: 407
[Figure 482]
Page: 409
[Figure 483]
Page: 410
[Figure 484]
Page: 411
[Figure 485]
Page: 412
[Figure 486]
Page: 413
[Figure 487]
Page: 425
[Figure 488]
Page: 426
[Figure 489]
Page: 426
[Figure 490]
Page: 427
[Figure 491]
Page: 427
[Figure 492]
Page: 428
[Figure 493]
Page: 429
[Figure 494]
Page: 429
[Figure 495]
Page: 430
[Figure 496]
Page: 431
[Figure 497]
Page: 432
[Figure 498]
Page: 432
[Figure 499]
Page: 432
[Figure 500]
Page: 433
[Figure 501]
Page: 434
[Figure 502]
Page: 435
[Figure 503]
Page: 436
[Figure 504]
Page: 437
[Figure 505]
Page: 437
[Figure 506]
Page: 438
[Figure 507]
Page: 439
[Figure 508]
Page: 439
[Figure 509]
Page: 439
[Figure 510]
Page: 440
< >
page |< < (370) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1082" type="section" level="1" n="342">
          <p>
            <s xml:id="echoid-s12625" xml:space="preserve">
              <pb o="370" file="0408" n="409" rhead="Apollonij Pergæi"/>
            tum E H, E G in ſuum exceſſum ad aggregatum H A, E G in ſuum ex-
              <lb/>
            ceſſum æqualis exceſſui duorum quadratorum E H, E G, nempe qua-
              <lb/>
            dratum A C ad exceſſum quadratorum duorum laterum figuræ I L mi-
              <lb/>
            nor in prima ellypſi, & </s>
            <s xml:id="echoid-s12626" xml:space="preserve">maior in ſecunda, quàm quadratum A H ad ag-
              <lb/>
            gregatum H A, A G in eorum exceſſu æqualis, &</s>
            <s xml:id="echoid-s12627" xml:space="preserve">c. </s>
            <s xml:id="echoid-s12628" xml:space="preserve">Hæc omnia corrigi
              <lb/>
            debuiſſe nemo negabit, atque hinc manifeſtum eſt non pauca in textu arabico
              <lb/>
            deſiderari, cum propoſitio 51, vera non ſit abſque determinationibus ſuperius
              <lb/>
            expoſitis.</s>
            <s xml:id="echoid-s12629" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1093" type="section" level="1" n="343">
          <head xml:id="echoid-head424" xml:space="preserve">SECTIO VNDECIMA</head>
          <head xml:id="echoid-head425" xml:space="preserve">Continens Propoſit. XXXII. & XXXI.</head>
          <head xml:id="echoid-head426" xml:space="preserve">Apollonij.</head>
          <p>
            <s xml:id="echoid-s12630" xml:space="preserve">IN ellypſi, & </s>
            <s xml:id="echoid-s12631" xml:space="preserve">ſectionibus coniugatis parallelogrammum ſub
              <lb/>
              <note position="right" xlink:label="note-0408-01" xlink:href="note-0408-01a" xml:space="preserve">a</note>
            axibus contentum æquale eſt parallelogrammo à quibuſcun-
              <lb/>
            que duabus coniugatis diametris comprehenſo, ſi eorum anguli
              <lb/>
            æquales fuerint angulis ad centrum contentis à coniugatis dia-
              <lb/>
            metris.</s>
            <s xml:id="echoid-s12632" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12633" xml:space="preserve">Sint duo axes A B, C D in ellipſi A C
              <lb/>
              <figure xlink:label="fig-0408-01" xlink:href="fig-0408-01a" number="482">
                <image file="0408-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0408-01"/>
              </figure>
            B D, ſiue in ſectionibus coniugatis A, B,
              <lb/>
            C, D, & </s>
            <s xml:id="echoid-s12634" xml:space="preserve">ſint F G, I H aliæ duæ coniu-
              <lb/>
            gatæ diametri, & </s>
            <s xml:id="echoid-s12635" xml:space="preserve">ducantur per puncta F,
              <lb/>
            I, G, H, lìneæ tangentes coniſectiones,
              <lb/>
            quæ ſibi mutuo occurrant ad puncta K, L,
              <lb/>
            M, N: </s>
            <s xml:id="echoid-s12636" xml:space="preserve">& </s>
            <s xml:id="echoid-s12637" xml:space="preserve">producatur A B ex vtraque
              <lb/>
            parte vſque ad tangentes, eaſque ſecet in
              <lb/>
            O, P, & </s>
            <s xml:id="echoid-s12638" xml:space="preserve">ſit centrum E. </s>
            <s xml:id="echoid-s12639" xml:space="preserve">Dico quod A
              <lb/>
            B in C D æquale eſt ſpatio parallelogram-
              <lb/>
            mo M K: </s>
            <s xml:id="echoid-s12640" xml:space="preserve">ſit itaque F R perpendicularis
              <lb/>
            ad A B; </s>
            <s xml:id="echoid-s12641" xml:space="preserve">& </s>
            <s xml:id="echoid-s12642" xml:space="preserve">ponamus S R mediam propor-
              <lb/>
            tionalem inter O R, R E.</s>
            <s xml:id="echoid-s12643" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12644" xml:space="preserve">Et quia quadratum A E ad quadratum
              <lb/>
            E C eandem proportionem habet, quàm
              <lb/>
              <note position="right" xlink:label="note-0408-02" xlink:href="note-0408-02a" xml:space="preserve">b</note>
            O R in R E, nempe quàm quadratum S
              <lb/>
            R ad quadratum F R (37. </s>
            <s xml:id="echoid-s12645" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s12646" xml:space="preserve">erit A E
              <lb/>
            ad E C nempe quadratum A E ad A E in
              <lb/>
            E C, vt S R ad F R, nempe S R in O E
              <lb/>
            ad F R in O E, & </s>
            <s xml:id="echoid-s12647" xml:space="preserve">permutando erit qua-
              <lb/>
            dratum A E, nempe R E in O E (39. </s>
            <s xml:id="echoid-s12648" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s12649" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum