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. 216 COMMENTARIA ANTIQUA. triv yiCav itXevQav rot> XQiymvov tifivsL xal xriv â6Lv, ijtl ds trjg VTiSQPoXrjg ri]V rs JtXsvQav xal trjv i% svêCag trj XoLTtfj TtlsvQa ixPaXXo^svrjv TtQog tfj xo- QV(pf], iitl 81 trig iXXsCtl;s(og xal sxatSQav tcav itksv- 5 Q^v xal trjv pd6LV. ro ds dszatov aitlovatSQOv ^sv ttg iTtL^dklcjv lccag av oCrjd^sCrj tavtov slvaL tS dsvtSQG), tovto ^svtOL ovx «g s^SL' ixsL (isv yccQ inl Ttdarjg tijg STtKpavsCag slsys ka^^dvsCâL td dvo Crj^sta, ivtavâ ds inl trjg ysvo^svrjg yQa^^^g. iv 10 ds totg s^rjg tQLolv dxQL^sCtSQOv sxdatrjv tcov rofitoi/ rot^TCOv dtaxQCvsL (istd tov XsysLV xal td CdLcoâta avtcov zd aQXLxd. Elg tb La' UsTtOL^Gdâ}, d)g ro «jro BF TtQog ro vTto 15 BAF, ovtog rj @Z JtQog Z,A' aacpsg ^sv iatt to Xsyo^svov, Ttkrjv st ttg xal vTtofivrjed^fjvaL ôvkstaL, s6to t(p VTtb BAF l6ov ro v^jto OflP, rc5 ds aTtb BF L0OV TtaQa trjv IJP jtaQapXrjd^sv nkdtog noLsCto) trjv nU, xal ysyovstc3, (hg rj OII TtQbg IIU, rj AZ 20 TtQog Z@' ysyovsv ccQa ro ^rjtov^svov. iitsl ydQ iettv, d)g rj On itQog IIZ, r\ AZ itQbg Z@, dvditaXLv 6g rj Zn jtQbg nO, ry ®Z TtQog ZA. (hg ds rj ZH jtQog nO, tb XIP TtQog PO, tovts6tL tb ditb BF TtQbg tb imb BAF. tovto xQrjOL^svsL xal totg i^rig 25 dvo d^soQi^âaLv. 4. 8i] Bupra scr. p. 7. snC] n e corr. m. 1 p. 8. «Aayf Xani-] pW^ (^'Isysv W^). 10. totg fl^Js tgi-] pW^ 14. nsnoLrjad-co] p, t^ in ras. m. 2 W. 15. satLv W. 17. rc5 (pr.)] corr. ex t6 W^ 18. /IP] /I e corr. m. 1 W. 19. 112 (pr.)] Z m ras. m. rec. W. Oil] O corr. ex W. 21. On] O corr. ex @ W. 22. ZU] 2 e corr. W. nO]
EUTOCII COMMENTARIA IN CONICA. 217 uertendum est, diametrum sectionis in parabola alterum latus trianguli basimque secare, in hyperbola autem et latus et rectam in altero latere ad uerticem uersus producto positam, in ellipsi autem et utramque latus et basim. decimam uero, qui obiter intuitus erit, fortasse eandem ac secundam esse putauerit; sed minime ita est; illic enim duo puncta in tota superficie sumi posse dicebat, hic uero in linea orta. in tribus autem deinde sequentibus propositionibus unamquamque harum sectionum diligentius distiuguit proprietates simul principales earum indicans. Ad prop. XI. Fiat Br^:BAxAr=®Z:ZA [I p. 38, 24—25]: manifestum quidem, quod dicitur, nisi si quis admoneri O TL Z êlit. sit onxnp = BAxAr, et spatium quadrato BF'^ aequale ad IIP adplicatum latitudinem efficiat 7727, fiatque 077 : nZ = AZ : Z@; ® Z A itaque effectum est, quod <strong>quae</strong>ritur. nam quoniam est OTL: IIZ == AZ : Z&^ e contrario erit [Eucl. V, 7 coroll.] est autem Zn:nO==®Z:ZA. Zn:nO = ZP: PO [Eucl. YI, 1] = BF^ : BA X AR hoc etiam in duabus, <strong>quae</strong> sequuntur, propositionibus [I p. 44,11; 50,6] utile est. O e corr. W. Un] Z e corr. W. 23. PO'] O e corr. W. tovzEGxiv W. £r] JB e corr. p.
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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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PROLEGOMENA. • LXXXIII de prets d
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PROLEGOMENA. LXXXV notis commemorau
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KiiNIKi^N 8'. IIqoxbqov êv iêd^Tj
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32 K^NIKSiN S' 'Eccv ds To Xrig^d^s
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56 KSiNlKS^N $'. £6tco0av avtLKSL^
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58 KQNIKJJN S'. Xr,'. Kcovov roft^
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FRAGMENTA.
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102 FRAGMENTA. d^pXvyoviov vTtBQ^dX
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104 FRAGMENTA. olg a%^£L0av iv iKc
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a 112 FRAGMENTA. Eadem propositio s
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1. j4f B xal (iLccg rcov] dubitans
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132 FRAGMENTA. drjXov, Ttag £0tiv
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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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146 COMMENTARIA ANTIQUA. xal 6xaXr}
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2. ccficporEQcc] Bv.dxsQOv Hultsch.
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8. gTTfl ovv Uarj coni. HultscTi. 2
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152 COMMENTARIA ANTIQUA. lilv 7] JH
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288 COIVIMENTARIA ANTIQUA. sTtLXoyo
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E£g ro devtSQOv. '^QXOÊVog rot' /
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294 COMMENTARIA ANTIQUA. ^sdâ dl t
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326 . . COMMENTARIA ANTIQUA. Kccl 6
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328 COMMENTARIA ANTIQUA. * cc(pc5v
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330 COMMENTARIA ANTIQUA. 7t6v i^TLV
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332 €OMMENTARIA ANTIQUA. ds rjKta
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336 COMMENTARIA ANTIQUA. Etg t6 Ky'
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338 COMMENTARIA ANTIQUA. AA^ xo ccT
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342 COMMENTARIA ANTIQUA. za TM, MZ,
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346 COMMENTARIA ANTIQUA. xrjv rav F
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348 COMMENTARIA ANTIQUA. oiJrcog rj
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350 COMMENTARIA ANTIQUA. *j4XXa)g t
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352 COMMENTARIA ANTIQUA. xccl to av
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358 COMMENTARIA ANTIQUA. TtaQccXXrj
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