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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          <figure number="247">
            <image file="0221-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0221-01"/>
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            <s xml:id="echoid-s6966" xml:space="preserve">Sed oportet in ellipſi, vt duo axes ſint ſimul, aut tranſuerſi, aut recti-
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            ſimul, &</s>
            <s xml:id="echoid-s6967" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6968" xml:space="preserve">Addidi verba, quæ videntur in textu deficere. </s>
            <s xml:id="echoid-s6969" xml:space="preserve">Sed oportet in elli-
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            pſi, vt duæ diametri, ideòque duo axes ſint ſimul, aut tranſuerſi, aut ſimul re-
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            cti. </s>
            <s xml:id="echoid-s6970" xml:space="preserve">Licet enim multoties diametri coniugatæ ellipſium æquales eße poſſint, ni-
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            hilominus eæ ſumi debent, quæ ad eaſdem partes reſpiciunt axes tranſuerſos,
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            alias conſtructio, atque demonſtratio non ſequeretur, vt manifeſtum eſt.</s>
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        <div xml:id="echoid-div649" type="section" level="1" n="215">
          <head xml:id="echoid-head272" xml:space="preserve">MONITVM.</head>
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            <s xml:id="echoid-s6972" xml:space="preserve">PRo intelligentia propoſ. </s>
            <s xml:id="echoid-s6973" xml:space="preserve">16. </s>
            <s xml:id="echoid-s6974" xml:space="preserve">& </s>
            <s xml:id="echoid-s6975" xml:space="preserve">17. </s>
            <s xml:id="echoid-s6976" xml:space="preserve">præmitti debent tria hæc lem-
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            mata.</s>
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        <div xml:id="echoid-div650" type="section" level="1" n="216">
          <head xml:id="echoid-head273" xml:space="preserve">LEMMA VI.</head>
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            <s xml:id="echoid-s6978" xml:space="preserve">SI in duobus parabolicis ſegmentis A B C, & </s>
            <s xml:id="echoid-s6979" xml:space="preserve">D E F baſes A C,
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            & </s>
            <s xml:id="echoid-s6980" xml:space="preserve">D F cum diametris G B, & </s>
            <s xml:id="echoid-s6981" xml:space="preserve">H E æquales angulos G, & </s>
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            H non rectos contineant, atque efficiant abſciſſas G B, & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">H E dia-
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            metrorum ad latera recta B I, & </s>
            <s xml:id="echoid-s6984" xml:space="preserve">E K proportionalia; </s>
            <s xml:id="echoid-s6985" xml:space="preserve">erunt ſegmenta
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            ſimilia inter ſe.</s>
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