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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[301.] PROPOSITIO XXXIV.
Page: 354 (315)
[302.] PROPOSITIO XXXV. & XXXVI.
Page: 355 (316)
[303.] In Sectionem VI.
Page: 356 (317)
[304.] LEMMA II.
Page: 357 (318)
[305.] LEMMA III.
Page: 357 (318)
[306.] LEMMA IV.
Page: 357 (318)
[307.] LEMMA V.
Page: 358 (319)
[308.] Notæ in Propof. XXXIII. & XXXIV.
Page: 359 (320)
[309.] Notæ in Propoſit. XXXV.
Page: 360 (321)
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
Page: 362 (323)
[311.] PROPOSITIO XXXIX.
Page: 363 (324)
[312.] PROPOSITIO XXXX.
Page: 364 (325)
[313.] In Sectionem VII. Propoſit: XXXVIII. XXXIX. & XXXX. LEMMA VI.
Page: 366 (327)
[314.] LEMMA VII.
Page: 366 (327)
[315.] LEMMA VIII.
Page: 367 (328)
[316.] LEMMA IX.
Page: 367 (328)
[317.] Notæ in Propoſit. XXXVIII. XXXIX.
Page: 369 (330)
[318.] Notæ in Propoſit. XXXX.
Page: 369 (330)
[319.] SECTIO OCTAVA Continens Propoſit. XXXXIIII. XXXXV. & XXXXVI.
Page: 372 (333)
[320.] PROPOSITIO XXXXVI.
Page: 374 (335)
[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
Page: 375 (336)
[322.] LEMM A XI.
Page: 375 (336)
[323.] LEMM A XII.
Page: 376 (337)
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
Page: 378 (339)
[325.] Notæ in Propoſit. XXXXVI.
Page: 378 (339)
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
Page: 380 (341)
[327.] PROPOSITIO XXXXI.
Page: 382 (343)
[328.] PROPOSITIO XXXXVII.
Page: 383 (344)
[329.] PROPOSITIO XXXXVIII.
Page: 386 (347)
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
Page: 388 (349)
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            <s xml:id="echoid-s13355" xml:space="preserve">Educamus igitur E G parallelam ipſi
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            A B, & </s>
            <s xml:id="echoid-s13356" xml:space="preserve">iungamus D B, D G: </s>
            <s xml:id="echoid-s13357" xml:space="preserve">& </s>
            <s xml:id="echoid-s13358" xml:space="preserve">quia duo
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            anguli D E G, D G E ſunt æquales, erit
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            angulus G D C duplus anguli D E G,
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            & </s>
            <s xml:id="echoid-s13359" xml:space="preserve">quia angulus B D C æqualis eſt angu-
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            lo B C D, & </s>
            <s xml:id="echoid-s13360" xml:space="preserve">angulus C E G æqualis eſt
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            angulo A C E, erit angulus G D C du-
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            <s xml:id="echoid-s13361" xml:space="preserve">totus angulus B
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            D G triplus anguli B D C, & </s>
            <s xml:id="echoid-s13362" xml:space="preserve">arcus B G
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          <head xml:id="echoid-head461" xml:space="preserve">SCHOLIVM ALMOCHTASSO.</head>
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            <s xml:id="echoid-s13365" xml:space="preserve">DIcit Doctor Almoch-
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            taſſo. </s>
            <s xml:id="echoid-s13366" xml:space="preserve">Cum dicit ar-
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            cum B G æqualem eſſe ar-
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            cui A E, id ex eo eſt pro-
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            pter æquidiſtantiam duarum
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            cordarum. </s>
            <s xml:id="echoid-s13367" xml:space="preserve">Sint itaque in
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            circulo A B C cordæ A C,
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            B D parallelæ; </s>
            <s xml:id="echoid-s13368" xml:space="preserve">Dico quod
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            duo arcus A B, C D ſunt
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            æquales,</s>
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          <head xml:id="echoid-head462" xml:space="preserve">Notæ in Propoſit. VIII.</head>
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            <s xml:id="echoid-s13374" xml:space="preserve">HAEc quidem propoſitio elegantiſſima eſt, quæ ſi problematicè reſolui poſ-
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            ſet via plana, reperta iam eßet tripartitio cuiuſlibet anguli.</s>
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            <s xml:id="echoid-s13376" xml:space="preserve">Breuius tamen demonſtratio
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            perfici poteſt hac ratione. </s>
            <s xml:id="echoid-s13377" xml:space="preserve">Iuncta
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            recta E B, quia in triangulo Iſo-
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            ſcele B D C duo anguli C, & </s>
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            D B æquales ſunt, eſtque pariter
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            externus angulus B D C duplus an-
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            guli D E B in triangulo Iſoſcelio
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            D E B, ergo angulus C duplus eſt
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            anguli B E C, & </s>
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            guli ſimul ſumpti, ſeu externus an-
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            gulus A B E triplus erit anguli B
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            E F, & </s>
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