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48 KSiNIKSiN 8'. i7t£^€vj(^d-co 7} AB Tiai dCxa tst^rjad^co naxa tb Z, xal r^ypG) ri AZ. iTCsl ovv dvo yQa^âl ai AHB, AMB icpccTCtovtai, dXXrj- ^ Xcov ocata dvo ta A, B^ 5 ov 6vii^dXXov(3iV dkXrjXacg zad'' stSQOV co0ts rj AZ y^ f [m^^^ BTiatEQav tcov tofiav ti^v£i. t£^vita) Tcatd td H^ M' £6tai orj ota ^sv tTi]v £t£- 10 Qav to^7]v rj AH tfj HZ l'6rj, dcd dh trjv itiQav rj AM tfi MZ t
CONICORUM LIBER IV. 49 J, B, in nullo alio inter se concurrunt [prop. XXVII — XXIX]; quare AZ utramque sectionera secat. secet in Hj M\ erit igitur [I, 35] propter alteram sectionem AH=HZj propter alteram autem AM= MZ-, quod fieri non potest. ergo parabola non continget in pluribus punctis quam in uno. XXXI. Parabola hyperbolam non continget in duobus punctis extra eam cadens. sit parabola AHB, hyperbola autem AMB, et, si fieri potest, contingant in A, B, ducanturque ab I Aj B rectae utramque sectionem A, B contingentes, <strong>quae</strong> in A inter se concurrant, et ducatur AB seceturque in Z in duas partes aequales, ducaturque AZ^ quoniam igitur sectiones AHB, AMB in A, B contingunt, in nullo alio puncto concurrunt [prop. XXVII —XXIX]; AZ igitur in alio atque alio puncto sectiones secat. secet in H, M, et AZ producatur; ueniet igitur per centrum hyperbolae [II, 29]. sit centrum z/; erit igitur propter hyperbolam [I, 37] ZA : ^M== AMiAA [Eucl. VI, 17] =^ ZM: MA [Eucl. V, 17; V, 16]. Âpollonius, ed. Heiberg. II. 4
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(D s APOLLONIl PERGAEI QUAE GEAECE
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PEAEFATIO. Praeter librum lY Conico
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AB PRAEFATIO. V 3. cod. Paris. Gr.
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PRAEFATIO. VII II p. 306, 2 A, B] A
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; PRAEFATIO. IX pro nACGON, p. 202,
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PROLEGOMENA. Cap. I. De codieibus C
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PROLEGOMENA. XIII Apollonii Conic.
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PROLEGOMENA. XV codicum illorum XXV
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: PROLEGOMENA. XVH in Galliam cum c
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PROLEGOMENA. XIX i-n — om., ov 8i
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PEOLEGOMENA. XXI Ss 24; p. 4, 13 6v
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PROLEGOMENA. XXIII p. U, 2 Tf^vovaL
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PROLEGOMENA. XXV p. 166, 2 dvo] pos
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PROLEGOMENA. XXVII p. 292, 20 ^Z] s
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PROLEGOMENA. XXIX I p. 410, 16 eatc
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PROLEGOMENA. XXXI obstat, quomiims
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I PROLEGOMENA. XXXIK i>lOCT£QOC p.
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27 PROLEGOMENA. XXXV p. 104, 5 MB]
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PROLEGOMENA. XXXVII iit] H% T£ I p
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PROLEGOMENA. XXXIX B// 11 0if] in r
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PROLEGOMENA. XLI TtccQdXXrjXog, nat
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PROLEGOMENA. XLIII A e corr. 6 %ai
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PROLEGOMENA. XLV 12 rijff] T5g AB 1
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PROLEGOMENA. XLVII Sia tov O 21 nrZ
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PROLEGOMENA. XLIX eS — 19 MZ ro]
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PROLEGOMENA. LI p. 4, 5 TOfvTa] zcc
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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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PROLEGOMENA. LV p. 104, 4 JE] V, Ez
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PROLEGOMENA. LVII Cap. II. Q,uo mod
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PROLEGOMENA. LIX Pappi lemma
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PROLEGOMENA. LXI monstratione recep
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PROLEGOMENA. LXIII praeter hos loco
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PROLEGOMENA. LXV Bignificare uidetn
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PROLEGOMENA. LXVII I p. 104, 4 JE]
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; PROLEGOMENA. LXIX Gtiq^rjg 7toXv7
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PROLEGOMENA. LXXI fatione ornatae c
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PROLEGOMENA. LXXIII 18 TtXdTog —
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. PROLEGOMENA. LXXV ipsius scctioni
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PROLEGOMENA. LXXVII caput linee mun
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PKOLEGOMENA. LXXIX aut extra eam, c
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PROLEGOMENA. LXXXI lun. 1428). qui
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FRAGMENTA.
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1. j4f B xal (iLccg rcov] dubitans
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1B4 FRAGMENTA. Cfr. p. 124, 17 sq.:
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I COMMENTARIA ANTIQUA.
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144 COMMENTARIA ANTIQUA. [Eucl. III
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2. ccficporEQcc] Bv.dxsQOv Hultsch.
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