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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          <head xml:id="echoid-head242" xml:space="preserve">Notæ in Propoſit. V.</head>
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            <s xml:id="echoid-s6053" xml:space="preserve">ATque B C D congruit B A D, & </s>
            <s xml:id="echoid-s6054" xml:space="preserve">ſuperficies ſuperficiei, &</s>
            <s xml:id="echoid-s6055" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6056" xml:space="preserve">Quo-
              <lb/>
              <note position="right" xlink:label="note-0192-01" xlink:href="note-0192-01a" xml:space="preserve">a</note>
            niam in ſecunda figura B D eſt axis ellipſis per centrum E ductus; </s>
            <s xml:id="echoid-s6057" xml:space="preserve">ergò
              <lb/>
            vt in prima parte huius propoſitionis dictum eſt, ſibi mutuò congruent ſemielli-
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            pſes B C D, & </s>
            <s xml:id="echoid-s6058" xml:space="preserve">B A D.</s>
            <s xml:id="echoid-s6059" xml:space="preserve"/>
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        <div xml:id="echoid-div578" type="section" level="1" n="189">
          <head xml:id="echoid-head243" xml:space="preserve">Notæ in Propoſit. VIII.</head>
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            <s xml:id="echoid-s6060" xml:space="preserve">NAm demonſtrauimus, &</s>
            <s xml:id="echoid-s6061" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6062" xml:space="preserve">Expoſitio huius
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              <note position="right" xlink:label="note-0192-02" xlink:href="note-0192-02a" xml:space="preserve">a</note>
            propoſitionis hæc erit. </s>
            <s xml:id="echoid-s6063" xml:space="preserve">Sit ellipſis A B C D,
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            cuius axes C A, & </s>
            <s xml:id="echoid-s6064" xml:space="preserve">B D, & </s>
            <s xml:id="echoid-s6065" xml:space="preserve">in quolibet eius qua-
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            drante ſignentur tales circumferentiæ N G, O L, H
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            Q, M P, vt coniunctæ rectæ lineæ O N, G L, H
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            M, Q P ſint ad axim A C ordinatim applicatæ ſe-
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            cantes eum in R, I, K, S; </s>
            <s xml:id="echoid-s6066" xml:space="preserve">ſintque binarum extre-
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            marum N O, P Q à centro E diſtantiæ æquales E R,
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            E S, & </s>
            <s xml:id="echoid-s6067" xml:space="preserve">binarum intermediarum L G, H M æquales à
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            centro diſtantiæ E I, E K oſtendendum eſt ſegmenta
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            G N, L O, H Q, M P æqualia eße.</s>
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            <s xml:id="echoid-s6069" xml:space="preserve">Et inſuper dico, quod quodlibet horum ſeg-
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            mentorum non congruet alicui alio ſegmento,
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            &</s>
            <s xml:id="echoid-s6070" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6071" xml:space="preserve">Si enim in eodem, vel in duabus ellipſis qua-
              <lb/>
            drantibus ſumantur ſegmenta G N, & </s>
            <s xml:id="echoid-s6072" xml:space="preserve">M P non æque ab axis vertice B vel à
              <lb/>
            verticibus A, C eiuſdem axis remota, non erunt congruentia, vt deducitur ex
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s6073" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6074" xml:space="preserve">additarum huius.</s>
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          <head xml:id="echoid-head244" xml:space="preserve">SECTIO QVARTA
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          Continens Propoſit. XI. XII. XIII. & XIV.
            <lb/>
          PROPOSITIO XI.</head>
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            <s xml:id="echoid-s6076" xml:space="preserve">QVælibet ſectio parabolica, vt A B, cuius axis B C, & </s>
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            ctum B D ſimilis eſt cuilibet ſectioni parabolicæ, vt E F,
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            cuius axis F H, & </s>
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