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 contents

< >
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
Page: 81 (43)
[72.] Notæ in Propoſ. LII. LIII.
Page: 83 (45)
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
Page: 87 (49)
[74.] Notæ in Propoſ. LIV. LV.
Page: 92 (54)
[75.] Notæ in Propoſit. LVI.
Page: 93 (55)
[76.] LEMMA VIII.
Page: 95 (57)
[77.] Notæ in Propoſ. LVII.
Page: 96 (58)
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
Page: 98 (60)
[79.] PROPOSITIO LVIII.
Page: 98 (60)
[80.] PROPOSITIO LIX. LXII. & LXIII.
Page: 98 (60)
[81.] PROPOSITIO LX.
Page: 100 (62)
[82.] PROPOSITIO LXI.
Page: 100 (62)
[83.] Notæ in Propoſit. LVIII.
Page: 101 (63)
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
Page: 102 (64)
[85.] Notæ in Propoſit. LX.
Page: 103 (65)
[86.] Notæ in Propoſit. LXI.
Page: 103 (65)
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
Page: 105 (67)
[88.] PROPOSITIO XXXXIV.
Page: 105 (67)
[89.] PROPOSITIO XXXXV.
Page: 106 (68)
[90.] Notæ in Propoſ. XXXXIV.
Page: 106 (68)
[91.] Notæ in Propoſ. XLV.
Page: 107 (69)
[92.] SECTIO VNDECIMA Continens Propoſ. LXVIII. LXIX. LXX. & LXXI. Apollonij. PROPOSITIO LXVIII. LXIX.
Page: 108 (70)
[93.] PROPOSITIO LXX.
Page: 109 (71)
[94.] PROPOSITIO LXXI.
Page: 109 (71)
[95.] Notæ in Propoſit. LXVIII. LXIX. LXX. & LXXI.
Page: 109 (71)
[96.] SECTIO DVODECIMA Continens XXIX. XXX. XXXI. Propoſ. Appollonij.
Page: 110 (72)
[97.] Notæ in Propoſit. XXIX. XXX. & XXXI.
Page: 111 (73)
[98.] SECTIO DECIMATERTIA Continens Propoſ. LXIV. LXV. LXVI. LXVII. & LXXII. Apollonij. PROPOSITIO LXIV. LXV.
Page: 112 (74)
[99.] PROPOSITIO LXVI.
Page: 113 (75)
[100.] PROPOSITIO LXVII.
Page: 114 (76)
< >
page |< < (4) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div31" type="section" level="1" n="29">
          <p style="it">
            <s xml:id="echoid-s809" xml:space="preserve">
              <pb o="4" file="0042" n="42" rhead="Apollonij Pergæi"/>
            mentum axis D B ad D R, & </s>
            <s xml:id="echoid-s810" xml:space="preserve">compleatur
              <lb/>
            parallelogrãmum rectãgulum B R, tunc ſpa-
              <lb/>
            tium B R vocatur Exemplar. </s>
            <s xml:id="echoid-s811" xml:space="preserve">Pari ratione
              <lb/>
            ſi, vt G B ad D P ità fiat ſegmentum axis
              <lb/>
            D K ad latitudinem K S, compleaturque
              <lb/>
            parallelogrammum rectangulum D S, voca-
              <lb/>
            bitur paritèr D S Exemplar.</s>
            <s xml:id="echoid-s812" xml:space="preserve"/>
          </p>
          <figure number="4">
            <image file="0042-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0042-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s813" xml:space="preserve">X. </s>
            <s xml:id="echoid-s814" xml:space="preserve">Et ſi C D perpendicularis fuerit ad
              <lb/>
            axim B D, & </s>
            <s xml:id="echoid-s815" xml:space="preserve">producatur vltrà axim in
              <lb/>
            E, atquè à puncto E extendantur vſquè ad
              <lb/>
            ſectionem rectæ lineæ E B, E F, E G, vo-
              <lb/>
            cabitur E punctum Concurſus.</s>
            <s xml:id="echoid-s816" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s817" xml:space="preserve">XI. </s>
            <s xml:id="echoid-s818" xml:space="preserve">Et lineæ rectæ E B, E F, E G vo-
              <lb/>
            cantur etiam Rami.</s>
            <s xml:id="echoid-s819" xml:space="preserve"/>
          </p>
          <figure number="5">
            <image file="0042-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0042-02"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s820" xml:space="preserve">VII. </s>
            <s xml:id="echoid-s821" xml:space="preserve">Atquè linea recta E F ſecans axim
              <lb/>
            in H vocatur Ramus ſecans.</s>
            <s xml:id="echoid-s822" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s823" xml:space="preserve">XIII. </s>
            <s xml:id="echoid-s824" xml:space="preserve">Et recta linea E B conueniens
              <lb/>
            cum axi in vertice ſectionis vocatur Ra-
              <lb/>
            mus terminatus.</s>
            <s xml:id="echoid-s825" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s826" xml:space="preserve">XIV. </s>
            <s xml:id="echoid-s827" xml:space="preserve">Si verò rami ſecantis E F por-
              <lb/>
            tio cius H F inter ſectionem, & </s>
            <s xml:id="echoid-s828" xml:space="preserve">axim in-
              <lb/>
            tercepta fuerit breuiſsima omnium linea-
              <lb/>
            rum, quæ ex puncto H ad ſectionem duci
              <lb/>
            poſſunt, tunc ramus E F vocabitur Breui-
              <lb/>
            ſecans. </s>
            <s xml:id="echoid-s829" xml:space="preserve">In textu Arabico ſecans ramus vo-
              <lb/>
            cabatur, mendosè, vt arbitror, non enim
              <lb/>
            hæc definitio diſtingueretur à duodecima,
              <lb/>
            definitione.</s>
            <s xml:id="echoid-s830" xml:space="preserve"/>
          </p>
          <figure number="6">
            <image file="0042-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0042-03"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s831" xml:space="preserve">XV. </s>
            <s xml:id="echoid-s832" xml:space="preserve">Similitèr ſegmentum axis D B ſe-
              <lb/>
            ctum à perpendiculari ad axim ex origine
              <lb/>
            E ducta, vocatur quoquè Menſura.</s>
            <s xml:id="echoid-s833" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s834" xml:space="preserve">XVI. </s>
            <s xml:id="echoid-s835" xml:space="preserve">Tandem ſi per punctum originis
              <lb/>
            D, vel concurſus E ducatur ordinata A C,
              <lb/>
            tunc figura contenta ab ordinata A C, & </s>
            <s xml:id="echoid-s836" xml:space="preserve">
              <lb/>
            ſectione conica A B C, vocatur Segmentum
              <lb/>
            illius puncti.</s>
            <s xml:id="echoid-s837" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum