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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            ad L S eſt vt quadratum D Z ad quadratum Z F ; </s>
            <s xml:id="echoid-s8558" xml:space="preserve">igitur P G ad G R ean-
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            dem proportionem habet, quàm Z L ad L S, & </s>
            <s xml:id="echoid-s8559" xml:space="preserve">propterea figuræ ſectionem
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            erunt ſimiles; </s>
            <s xml:id="echoid-s8560" xml:space="preserve">ijs autẽ figuris æqualia oſtenſa ſunt quadrata dupliciũ O Y, & </s>
            <s xml:id="echoid-s8561" xml:space="preserve">K
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            Z, quæ ſuppoſitæ fuerunt æquales; </s>
            <s xml:id="echoid-s8562" xml:space="preserve">igitur figuræ P G R, & </s>
            <s xml:id="echoid-s8563" xml:space="preserve">Z L S ſimiles, & </s>
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            æquales ſunt inter ſe, atque diametri æquæ inclinatæ ſunt ad ordinatim ad eas
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            applicatas H I, M N; </s>
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            ſimiles, & </s>
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          <head xml:id="echoid-head296" xml:space="preserve">LEMMA IX.</head>
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            <s xml:id="echoid-s8569" xml:space="preserve">S I in duobus conis A B C, D E F, baſes ſint in eodem plano, & </s>
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            <s xml:id="echoid-s8571" xml:space="preserve">ſimi-
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            liter poſita, & </s>
            <s xml:id="echoid-s8572" xml:space="preserve">in eodem plano exiſtentia, erunt coni ſimiles inter ſe.</s>
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            <s xml:id="echoid-s8576" xml:space="preserve">D H perpendiculares ad
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            baſes conorũ, & </s>
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            <s xml:id="echoid-s8578" xml:space="preserve">D Z coniungantur rectæ lineæ Y G,
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            & </s>
            <s xml:id="echoid-s8579" xml:space="preserve">Z H. </s>
            <s xml:id="echoid-s8580" xml:space="preserve">Quoniã planum, in quo exiſtunt duo triangula A B C, D E F ſecat
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            planum, in quo baſes conorum iacent in vna recta linea, quæ baſis eſt vtriuſque
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            trianguli per axes conorum ducti; </s>
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            <s xml:id="echoid-s8582" xml:space="preserve">E F in directum conſtitutæ
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            erunt, & </s>
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            <s xml:id="echoid-s8584" xml:space="preserve">E latera A B ad B C, atque D E ad E
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            vt D E ad E Z circa angulos æquales, & </s>
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            <s xml:id="echoid-s8590" xml:space="preserve">E Z D, externus interno, æqua-
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            <s xml:id="echoid-s8592" xml:space="preserve">Z D in eodem plano exiſtentes, parallelæ
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            inter ſe; </s>
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            <s xml:id="echoid-s8596" xml:space="preserve">H æquales ſunt, nempe recti; </s>
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