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LVIII PROLEGOMENA. * gina uerba Apollonii, in marginibus sua commentaria (praeter praefationes, quas sine dubio singulis uoluminibus praefixit) coUocaret. hoc ex uerbis e^mQ^sv sv roig avvtEtccyfisvoLs axo- Xioiq II p. 176, 20 concludi posse uidetur, praeterea ita facillime explicantiir lacunae II p. 290, 8; 292, 1, 14; 306, 8; 308, 14; 310, 6; 338, 15; 340, 15; 342, 20 et transpositio II p. 264. ex tota ratione editionis Eutocianae adparet, eum in demonstrationibus eligendis uel reiiciendis solo iudicio suo confisum esse. sed cum summa fide demonstrationes repudiatas in commentariis seruauerit (cfr. II p. 296, 6; 336, 6), de iudicio eius etiam nunc nobis licet iudicare. iam in reiiciendis demonstrationibus , quas II p. 296 sq., p. 326, 17, p. 328, 12, p. 336 sq. adfert, iudicium eius omnino sequendum; nam quas habet p. 296 sq., nihil sunt nisi superflui conatus coroUarii Apolloniani I p. 218, 4 demonstrandi, propositiones p. 326, 17 et p. 323, 12 re uera, ut Eutocius obseruauit, casus sunt praecedentium, quos post illas demonstrare nihil adtinet; de demonstrationibus denique p. 336 sq. adlatis idem fere dicendum. ubi ex pluribus demonstrationibus uaam elegit, res difficilior est diiudicatu. uno saltim loco errauit; nam cum in I, 50 p. 152, 6 usurpetur aequatio A HBr== FJE, quae nunc nusquam in praecedentibus demonstrata est, in altera autem demonstratione ab Eutocio ad I, 43 adlata p. 256 demonstratur — uerba ipsa faov — B VA II p. 256, 9 fortasse subditiua esse, hic parum refert — , hinc concludendum est, quamquam dubitat Zeuthen Die Lehre von den Kegelschnitten im Alterthum p. 94 not., illam demonstrationem genuinam esse, nostram iniuria ab Eutocio receptam; idem fit 11, 20 p. 228, 23. in ceteris nuUam certam uideo causam, cur abiudicio Eutocii discedamus; sed rursus nemo praestare potest, eum semper manum ApoUonii restituisse. lemmata Sed quamquam in uniuersum editione Eutociana stare ne- Pa;)pi cesse est, tamen lemmatis Pappi adiuti de forma Conicorum aliquanto antiquiore nonnulla statuere licet. quod ut recta ratione fiat, ante omnia tenendum est, hoc esse genus ac uaturam lemmatum et illorum et ceterorum omnium, uelnt ipsius Eutocii, ut propositiones quasdam minores suppleant et demonstrent, quibus sine demonstratione usus sit scriptor ipse, sicut factum uidemus his locis:
PROLEGOMENA. LIX Pappi lemma
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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. XXIII p. U, 2 Tf^vovaL
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PROLEGOMENA. XXV p. 166, 2 dvo] pos
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PROLEGOMENA. XXXI obstat, quomiims
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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. LXI monstratione recep
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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. LXXXI lun. 1428). qui
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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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138 FRAGMENTA. XBVtQOv avtov tr^v t
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I COMMENTARIA ANTIQUA.
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144 COMMENTARIA ANTIQUA. [Eucl. III
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146 COMMENTARIA ANTIQUA. xal 6xaXr}
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2. ccficporEQcc] Bv.dxsQOv Hultsch.
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I 1 1 1 1 I 1 1 1 1 164 COMMENTARIA
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II. SEEENUS. Serenus de sectione cy
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IV. EUTOCII COMMENTAKIA IN CONICA.
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