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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[251.] II.
Page: 309 (271)
[252.] III.
Page: 309 (271)
[253.] IV.
Page: 309 (271)
[254.] V.
Page: 309 (271)
[255.] VI.
Page: 309 (271)
[256.] VII.
Page: 310 (272)
[257.] VIII.
Page: 310 (272)
[258.] NOTÆ.
Page: 310 (272)
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
Page: 311 (273)
[260.] PROPOSITIO V. & XXIII.
Page: 312 (274)
[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)
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              <pb o="411" file="0449" n="450" rhead="Aſſumpt. Liber."/>
            gulum A D E, erit in primo caſu D O maior, quàm C D, in ſecundo
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            vero minor; </s>
            <s xml:id="echoid-s13661" xml:space="preserve">& </s>
            <s xml:id="echoid-s13662" xml:space="preserve">propterea A O minor erit, quàm A C in vtroque caſu.
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            </s>
            <s xml:id="echoid-s13663" xml:space="preserve">Et quia quadratum C B ad rectangulum A D E eſt vt C D ad D O, igi-
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            tur ſolida parallelepipeda reciproca erunt æqualia, ſcilicet ſolidum qua-
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            drato C B in D O ducto æquale erit ſolido, cuius baſis rectangulum A
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            D E, altitudo vero C D, ſeu potius æquale erit ſolido, cuius baſis re-
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            ctangulum E D C, altitudo vero A D, & </s>
            <s xml:id="echoid-s13664" xml:space="preserve">propterea vt quadratum B C
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            ad rectangulum E D C, ita erit reciproce A D ad D O, & </s>
            <s xml:id="echoid-s13665" xml:space="preserve">comparando
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            antecedentes ad terminorum differentias in primo caſu, & </s>
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            ſummas in ſecundo caſu, erit quadratum B C ad quadratum D B vt A
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            D ad A O, & </s>
            <s xml:id="echoid-s13667" xml:space="preserve">denuo ſolidum parallelepipedum rectangulum contentum
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            ſub quadrato B C in A O æquale erit ei, cuius baſis quadratum D B,
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            altitudo vero A D: </s>
            <s xml:id="echoid-s13668" xml:space="preserve">Eſt vero A O oſtenſa minor, quàm A C in vtroque
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            caſu, igitur parallelepipedum, cuius baſis quadratum B C, altitudo A
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            C maius eſt eo, cuius baſis eſt idem quadratum B C, altitudo A O;
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            <s xml:id="echoid-s13669" xml:space="preserve">ideoque parallelepipedum, cuius baſis quadratum B C, altitudo A C
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            maius eſt quolibet parallelepipedo, cuius baſis quadratum B D, altitudo
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            A D: </s>
            <s xml:id="echoid-s13670" xml:space="preserve">quare patet propoſitum.</s>
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          <head xml:id="echoid-head475" xml:space="preserve">PROPOSITIO XVII.</head>
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            parallelepipedum, cuius baſis quadratum O B, altitudo O A
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            æquale ſit parallelepipedo, cuius baſis quadratum E B, altitu-
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            do A C.</s>
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          <p>
            <s xml:id="echoid-s13675" xml:space="preserve">Fiat rectangulum A C B F, & </s>
            <s xml:id="echoid-s13676" xml:space="preserve">producantur latera C A, F B, & </s>
            <s xml:id="echoid-s13677" xml:space="preserve">fiat
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            rectangulum C F N æquale quadrato E B, & </s>
            <s xml:id="echoid-s13678" xml:space="preserve">ducta diametro C E G </s>
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