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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[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)
[331.] LEMMA XIV.
Page: 389 (350)
[332.] LEMMA XV.
Page: 389 (350)
[333.] Notæ in Propoſit. XXXXI.
Page: 392 (353)
[334.] Notæ in Propoſit. XXXXVII.
Page: 393 (354)
[335.] Notæ in Propoſit. XXXXVIII.
Page: 394 (355)
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
Page: 397 (358)
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
Page: 400 (361)
[338.] LEMMA XVII.
Page: 400 (361)
[339.] LEMMA XVIII.
Page: 403 (364)
[340.] Notæ in Propoſit. XXXXIX.
Page: 404 (365)
[341.] Notæ in Propoſit. XXXXX.
Page: 406 (367)
[342.] Notæ in Propoſit. XXXXXI.
Page: 406 (367)
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
Page: 409 (370)
[344.] Notæ in Propoſit. XXXI. & XXXII.
Page: 411 (372)
[345.] LIBRI SEPTIMI FINIS.
Page: 413 (374)
[346.] LIBER ASSVMPTORVM INTERPRETE THEBIT BEN-KORA EXPONENTE AL MOCHT ASSO Ex Codice Arabico manuſcripto SERENISS. MAGNI DV CIS ETRVRIÆ, ABRAHAMVS ECCHELLENSIS Latinè vertit. IO: ALFONSVS BORELLVS Notis Illuſtrauit.
Page: 416
[347.] Præfatio ad Lectorem.
Page: 418 (379)
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
Page: 424 (385)
[349.] PROPOSITIO I.
Page: 425 (386)
[350.] SCHOLIVM ALMOCHTASSO.
Page: 425 (386)
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            A B ſimilis eſt figuræ ſectionis E F, erit quadratum H E ad H b in H F,
              <lb/>
            vt quadratum A C ad C a in C B; </s>
            <s xml:id="echoid-s6105" xml:space="preserve">& </s>
            <s xml:id="echoid-s6106" xml:space="preserve">b H in H F ad quadratum H F,
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            vt a C in C B ad quadratum C B (nam poſuimus H F ad F b, vt C B ad
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            B a) ergo ex æqualitate, quadratũ E H ad quadratũ H F eſt, vt quadra-
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            tum A C ad quadratum C B: </s>
            <s xml:id="echoid-s6107" xml:space="preserve">& </s>
            <s xml:id="echoid-s6108" xml:space="preserve">propterea E Z ad H F eſt vt A S ad C
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            B; </s>
            <s xml:id="echoid-s6109" xml:space="preserve">Atque ſic oſtendetur, quod X Y ad N F ſit vt Q R ad L B, & </s>
            <s xml:id="echoid-s6110" xml:space="preserve">T V
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            ad M F ſit vt O P ad K B; </s>
            <s xml:id="echoid-s6111" xml:space="preserve">ergo proportiones ordinationum axis vnius
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            earum ad ſua abſciſſa ſunt eædem rationibus aliarum ordinationum axis
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            ad ſua abſciſſa, & </s>
            <s xml:id="echoid-s6112" xml:space="preserve">alternatiuè. </s>
            <s xml:id="echoid-s6113" xml:space="preserve">Quare duæ ſectiones ſunt ſimiles.</s>
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          <note position="left" xml:space="preserve">Defin. 2.
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          huius.</note>
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            <s xml:id="echoid-s6115" xml:space="preserve">E contra oſtendetur, quod
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            ſi duæ ſectiones fuerint ſimi-
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            les, earũ figuræ ſimiles quo-
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            que erunt. </s>
            <s xml:id="echoid-s6116" xml:space="preserve">Quia eſt A C ad
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              buius.</note>
            C B, vt E H ad H F, & </s>
            <s xml:id="echoid-s6117" xml:space="preserve">ean-
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            dem proportionem habent
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            earum quadrata, atque
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            quadratum H F ad H F in
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            H b eſt, vt quadratum C B
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            ad C B in C a (eo quod
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            H F ad F b poſita fuit, vt
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            C B ad B a); </s>
            <s xml:id="echoid-s6118" xml:space="preserve">ergo ex æ-
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            qualitate quadratum E H ad
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            b H in H F, nempe I F
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            ad F b (20. </s>
            <s xml:id="echoid-s6119" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s6120" xml:space="preserve">eſt, vt quadratum A C ad a C in C B, nempe vt
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              <note position="left" xlink:label="note-0194-03" xlink:href="note-0194-03a" xml:space="preserve">21. lib. 1.
                <lb/>
              Ibidem.</note>
            D B ad B a (20. </s>
            <s xml:id="echoid-s6121" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6122" xml:space="preserve">; </s>
            <s xml:id="echoid-s6123" xml:space="preserve">quare figuræ duarum ſectionum ſunt ſimiles.
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            <s xml:id="echoid-s6124" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head246" xml:space="preserve">PROPOSITIO XIII.</head>
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            <s xml:id="echoid-s6126" xml:space="preserve">PArabola non eſt ſimilis hyperbolæ, neque ellipſi.</s>
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            <s xml:id="echoid-s6128" xml:space="preserve">Hyperbolæ, ſeu ellipſis A B ſit axis B C, & </s>
            <s xml:id="echoid-s6129" xml:space="preserve">inclinatus, ſeu tranſuerſus
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            B a, & </s>
            <s xml:id="echoid-s6130" xml:space="preserve">E F ſit ſectio parabolæ, cuius axis F H. </s>
            <s xml:id="echoid-s6131" xml:space="preserve">Dico, quod ſectio E F
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            non eſt ſimilis ſectioni A B hyperbolicæ, aut ellipticæ, alioquin ſit </s>
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