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1 ὑπερβολή
A a throwing beyond others,δίσκων ὑπερβολαῖς Philostr.Im.2.19
: in intr. sense, altitude of a star, Arist. Mete. 342b32.3 excess,τοῦ μεγέθεος Archyt.1
; opp. ἔλλειψις or ἔνδεια, Pl.Prt. 356a, 357a, 357b;θερμασίης Hp.Vict.2.65
;ὑ. δισσὴ.., τῷ ποσῷ καὶ τῷ ποιῷ Arist.PA 668b14
; ὑπερβολὴν τῆς ἐπιθυμίας ἔχειν c. acc. et inf., And.3.33, etc.: hence in various phrases, χρημάτων ὑπερβολῇ.. πρίασθαι at an extravagant price, E.Med. 232; ἐπέφερον τὴν ὑ. τοῦ καινοῦσθαι pushed on their extravagance in revolutionizing, Th.3.82; οὐκ ἔχον ἐστὶν ὑπερβολήν it can go no further, D.21.119, cf. 25.54;ἃ μηδὲ πιθανὰς τὰς ὑ. ἔχει Men.Her.62
; so οὐδεμίαν or μηδεμίαν ὑ. λείπειν, Isoc.4.5,110, cf. D.3.25;οὐδεμίαν ὑ. καταλείπων φιλοτιμίας SIG545.13
(Delph., iii B. C.); εἴ τις ὑ. τούτου if there is aught beyond (worse than) this, D.19.66, cf. Isoc.5.42; ταῦτ' οὐχ ὑ.; is not this the extreme, the last degree? D.27.38; ὑπερβολὴν ποιήσομαι I will put an extreme case, Id.19.332; τοσαύτην ὑ. ποιεῖσθαι ὥστε .. to go so far that.., Id.18.190: folld. by a gen., ὑ. ποιεῖσθαι ἐκείνων τῆς αὑτοῦ βδελυρίας to carry his own rascality beyond theirs, Id.22.52, cf. 23.201, And.4.22, Lys.14.38; ὑ. ποιεῖν τῆς τιμῆς to raise the price, Arist.Pol. 1259a26;εἰς ὑ. εὐδαιμονίας ἥκειν Isoc.11.14
;τοσαύτας ὑ. δωρειῶν παρές χηται D.20.141
; ὑ. ἀνοίας ἔχειν Polystr.p.27 W.4 with Prep. in Adverbial phrases, = ὑπερβαλλόντως, εἰς ὑπερβολήν in excess, exceedingly;εἰς ὑ. ἄμεινον E.Fr. 494
;ἀγαθὸς εἰς ὑ. Antiph.80.11
;ἐς ὑ. ἐκθερμαίνεσθαι Hp.Vict.2.65
: c. gen.,κτήσαιτ' ἂν ὄλβον εἰς ὑ. πατρός E.Fr.282.6
(v.l. εἰς ὑπεκτροφὴν πάτρας); far beyond, τοῦ πρόσθεν εἰς ὑ. πανοῦργος, i. e. far more wicked, Id.Hipp. 939, cf. D.61.33; :—ἐξ ὑπερβολῆς Plb.8.15.8
:— καθ' ὑπερβολὰν τοξεύσας with surpassing aim, S.OT 1196 (lyr.);καθ' ὑ. ἐπαινεῖν
extravagantly,Isoc.
5.11; οἱ καθ' ὑ. ἐν ἐνδείᾳ ὄντες in extremity of need, Arist.Pol. 1295b18;αἱ καθ' ὑ. ἡδοναί Id.EN 1151a12
;τὸ καθ' ὑ. τραχύ Phld.Po.Herc. 994.35
;καθ' ὑ. ἁμαρτωλός Ep.Rom.7.13
: c. gen.,καθ' ὑ. φιλοδοξίας OGI472.9
(Didyma, i A. D.):—so in dat.,εὐτελὴς ὑπερβολῇ Men.615
;παχεῖ' ὑ. Philem.41
;ὑ. ἀγαθός Arist.HA 625a29
, etc.5 preeminence, perfection, without any notion of excess,δι' ἀρετῆς ὑπερβολήν Id.EN 1145a24
, cf. Rh. 1367b1, Pol. 1284a4; ἡ ὑ. τῆς φιλίας the best and noblest kind of friendship, Id.EN 1166b1; but ἡ καθ' ὑ. φιλία, = ἡ καθ' ὑπεροχήν, Id.EE 1238b18.6 overstrained phrase, hyperbole,ὑπερβολὰς εἰπεῖν Isoc.4.88
; οἱ πρὸς ὑπερβολὴν πεπονημένοι λόγοι ib.11; ὑπερβολὰς εἰπεῖν make strong statements, Id.3.35, D. 27.64; as a figure of speech, Arist.Rh. 1413a29, Demetr.Eloc.52, Str.3.2.9;πρὸς -ὴν εἰρημένος Id.1.2.33
.7 τὸ καθ' ὑπερβολήν the superlative degree, in Adjectives, Arist.Top. 134b24; τιθέναι ὑπερβολῇ ib. 139a9;καθ' ὑ. εἰπεῖν Id.Cael. 281a16
.II crossing over, passage of mountains, etc., X.An.1.2.25, Plb.3.34.6, etc.2 in sg. or pl., place of passage, mountain-pass, with or without τοῦ ὄρους, τῶν ὀρέων, X. An.3.5.18, 4.1.21, 4.4.18; ὑ. τοῦ Ταύρου Wilcken Chr. 1 ii 14 (iii B. C.);αἱ τῶν Ἄλπεων ὑ. Plb.3.39.10
;αἱ Ἄλπιαι ὑ. Str.7.1.5
;ἡ κατὰ τὸν Αἷμον ὑ. D.S.19.73
.III (from [voice] Med.) delay,τοῦ κακοῦ Hdt.8.112
, cf. Decr. ap. D.18.29, Plb.14.9.8;[τῆς κρίσεως] ὑ. λαβούσης PEnteux.65.3
(iii B. C.).IV the conic section called hyperbola, because the square of the ordinate is equal to a rectangle with height equal to the abscissa applied to the parameter (as base) but exceeding ([etym.] ὑπερβάλλον), i. e. overlapping, that base, Apollon. Perg.Con.1.12, Procl. in Euc.p.419F.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ὑπερβολή
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2 ἔλλειψις
A falling short, defect, opp. ὑπερβολή, Democr. 102, Pl.Prt. 356a; opp. ὑπεροχή, Arist.Ph. 187a17, Metaph. 1042b25;ὑπερβολὴ καὶ ἔ. καὶ τὸ μέσον Id.EN 1106b17
.2 the conic section ellipse, Apollon.Perg.Con.1.13 (so called because the square on the ordinate is equal to a rectangle with height equal to the abscissa and applied to the parameter, but falling short of it).3 ἐν ἐλλείψεσιν ἐνυπάρχειν to be present in deficiency, of the negative terms in an algebraical expression, Dioph.1Praef.p.14 T.5 = ἔκλειψις, Olymp.in Mete.67.37 (s.v.l.).6 Pythag.name for two, Theol.Ar.10.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἔλλειψις
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