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

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[261.] Notæ in Propoſit. I.
Page: 312 (274)
[262.] Notæ in Propoſit. V. & XXIII.
Page: 313 (275)
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
Page: 314 (276)
[264.] PROPOSITIO IV.
Page: 315 (277)
[265.] PROPOSITIO VI. & VII.
Page: 316 (278)
[266.] Notæ in Propoſit. II. III.
Page: 317 (279)
[267.] Notæ in Propoſit. IV.
Page: 318 (280)
[268.] Notæ in Propoſit. VI. & VII.
Page: 319 (281)
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
Page: 320 (282)
[270.] Notæ in Propoſit. VIII.
Page: 323 (285)
[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
[281.] Notæ in Propoſit. XII.
Page: 332 (293)
[282.] Notæ in Propoſit. XIII.
Page: 333 (294)
[283.] Notæ in Propoſit. XXIX.
Page: 334 (295)
[284.] Notæ in Propoſit. XXX.
Page: 334 (295)
[285.] Notæ in Propoſit. XIV. & XXV.
Page: 335 (296)
[286.] Notæ in Propoſit. XXVII.
Page: 335 (296)
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
Page: 337 (298)
[288.] PROPOSITIO XXI. & XXVIII.
Page: 338 (299)
[289.] PROPOSITIO XXVI
Page: 339 (300)
[290.] PROPOSITIO XXXXII.
Page: 340 (301)
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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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