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

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[111.] Notæ in Propoſit. LXXII.
Page: 123 (85)
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
Page: 126 (88)
[113.] PROPOSITO LXXIV.
Page: 128 (90)
[114.] PROPOSITO LXXV.
Page: 128 (90)
[115.] PROPOSITIO LXXVI.
Page: 129 (91)
[116.] PROPOSITIO LXXVII.
Page: 130 (92)
[117.] Notæ in Propoſit. LXXIII.
Page: 130 (92)
[118.] LEMMA XII.
Page: 130 (92)
[119.] Notæ in Propoſ. LXXIV.
Page: 134 (96)
[120.] Notæ in Propoſit. LXXV.
Page: 135 (97)
[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
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            <s xml:id="echoid-s11074" xml:space="preserve">Quia C G ad A G, nempe quadratum A C ad ſuam figuram in ma-
              <lb/>
              <note position="left" xlink:label="note-0347-01" xlink:href="note-0347-01a" xml:space="preserve">c</note>
            iori, & </s>
            <s xml:id="echoid-s11075" xml:space="preserve">in figura ſecunda ellipſi in minori proportione, &</s>
            <s xml:id="echoid-s11076" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11077" xml:space="preserve">Ideſt. </s>
            <s xml:id="echoid-s11078" xml:space="preserve">In,
              <lb/>
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            prima, & </s>
            <s xml:id="echoid-s11079" xml:space="preserve">ſecunda figura hyperboles,
              <lb/>
            & </s>
            <s xml:id="echoid-s11080" xml:space="preserve">in prima figura ellipſis habet C G ad
              <lb/>
            G A maiorem proportionem, quàm ad
              <lb/>
            G E, eo quod G E maior eſt, quàm G
              <lb/>
            A: </s>
            <s xml:id="echoid-s11081" xml:space="preserve">at in ſecunda figura ellipſis propor-
              <lb/>
            tio minor eſt; </s>
            <s xml:id="echoid-s11082" xml:space="preserve">quia G E minor eſt, quã
              <lb/>
            A G. </s>
            <s xml:id="echoid-s11083" xml:space="preserve">Propoſitum verò aliter oſtendetur
              <lb/>
            hac ratione.</s>
            <s xml:id="echoid-s11084" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11085" xml:space="preserve">Quoniam ex demonſtratis in nota
              <lb/>
            propoſit. </s>
            <s xml:id="echoid-s11086" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11087" xml:space="preserve">in hyperbola, atquè ex
              <lb/>
            propoſitione 11. </s>
            <s xml:id="echoid-s11088" xml:space="preserve">libri quinti in ellipſi
              <lb/>
            erit axis minor, & </s>
            <s xml:id="echoid-s11089" xml:space="preserve">rectus Q R minor
              <lb/>
            diametro recta N O, & </s>
            <s xml:id="echoid-s11090" xml:space="preserve">N O minor
              <lb/>
            remotiore V X, ideoquè quadratum Q
              <lb/>
            R minus erit quadrato N O, & </s>
            <s xml:id="echoid-s11091" xml:space="preserve">qua-
              <lb/>
            dratum N O minus quàm quadratum
              <lb/>
            V X : </s>
            <s xml:id="echoid-s11092" xml:space="preserve">eſt verò figura, ſeu rectangulum
              <lb/>
            C A F ſub extremis contentum ęquale
              <lb/>
            quadrato Q R ex media proportionali
              <lb/>
              <note position="right" xlink:label="note-0347-02" xlink:href="note-0347-02a" xml:space="preserve">15. lib. 1.</note>
            inter illas deſcriptum: </s>
            <s xml:id="echoid-s11093" xml:space="preserve">pariterquè re-
              <lb/>
            ctangulum L I K ęquale eſt quadrato
              <lb/>
            diametri ei coniugatę N O, nec non,
              <lb/>
            rectangulum T S Z ęquale erit qua-
              <lb/>
            drato V X, ergo rectangulum C A F
              <lb/>
            minus eſt rectangulo L I K, atque rectangulum L I K minus eſt rectangulo T
              <lb/>
              <figure xlink:label="fig-0347-02" xlink:href="fig-0347-02a" number="410">
                <image file="0347-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0347-02"/>
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            S Z. </s>
            <s xml:id="echoid-s11094" xml:space="preserve">E contra in ellipſi ſecunda. </s>
            <s xml:id="echoid-s11095" xml:space="preserve">Quia. </s>
            <s xml:id="echoid-s11096" xml:space="preserve">Q R maior eſt, quàm N O, & </s>
            <s xml:id="echoid-s11097" xml:space="preserve">hęc
              <lb/>
            maior, quàm V X ; </s>
            <s xml:id="echoid-s11098" xml:space="preserve">ergo rectangulum C A F maius eſt rectangulo L I K, & </s>
            <s xml:id="echoid-s11099" xml:space="preserve">
              <lb/>
            hoc maius erit rectangulo T S Z.</s>
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