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1 ισοστοιχεί
ἰσοστοιχέωto be co-ordinate: pres ind mp 2nd sg (attic epic doric ionic)ἰσοστοιχέωto be co-ordinate: pres ind act 3rd sg (attic epic doric ionic) -
2 ἰσοστοιχεῖ
ἰσοστοιχέωto be co-ordinate: pres ind mp 2nd sg (attic epic doric ionic)ἰσοστοιχέωto be co-ordinate: pres ind act 3rd sg (attic epic doric ionic) -
3 ισοστοιχούν
ἰσοστοιχέωto be co-ordinate: pres part act masc voc sg (attic epic doric)ἰσοστοιχέωto be co-ordinate: pres part act neut nom /voc /acc sg (attic epic doric) -
4 ἰσοστοιχοῦν
ἰσοστοιχέωto be co-ordinate: pres part act masc voc sg (attic epic doric)ἰσοστοιχέωto be co-ordinate: pres part act neut nom /voc /acc sg (attic epic doric) -
5 συστοιχία
συστοιχ-ία, ἡ,A column or series of things or ideas, Arist.APr. 66b27, Metaph. 1004b27, 1066a15, 1072a31, Thphr.CP6.5.6; ἐκ τῶν σ. ὅσαι μὴ ἐπαλλάττουσιν ἀλλήλαις from series which are mutually exclusive, Arist.APo. 79b7; ἐν τῇ αὐτῇ σ. τῆς κατηγορίας in the same line of predication, Id.Metaph. 1054b35, 1058a13; esp. in Pythag. philosophy, pair of co-ordinate or parallel columns, αἱ ἀρχαὶ αἱ κατὰ συστοιχίαν λεγόμεναι in a series of co-ordinate pairs, as odd and even, one and many, right and left, ib. 986a23; also, either of such parallel columns, ib. 1093b12, PA670b21, EN1096b6, al., Thphr.Vent. 58, Gal.18(2).167.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > συστοιχία
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6 τεταγμένως
A in orderly manner, regularly,ποιεῖν τι X.Oec.8.3
; ;πολιτεύεσθαι Isoc.8.49
;παραθεῖναι κἀφελεῖν Sosip.1.48
.2 Math. in Conics, ordinate-wise, κατάγειν, ἀνάγειν, hence ἡ τεταγμένως the ordinate, Apollon.Perg.Con. 1 Def.4, al., cf. Archim.Aequil.2.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > τεταγμένως
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7 ἄν
ἄν (A), [pron. full] [ᾰ], [dialect] Ep., Lyr., [dialect] Ion., Arc., [dialect] Att.; also κεν) [dialect] Ep., [dialect] Aeol., Thess., κᾱ [dialect] Dor., [dialect] Boeot., El.; the two combined in [dialect] Ep. (infr. D. 11.2) and Arc.,Aεἰκ ἄν IG5(2).6.2
, 15 (iv B. C.):—modal Particle used with Verbs to indicate that the action is limited by circumstances or defined by conditions. In Hom. κε is four times as common as ἄν, in Lyr. about equally common. No clear distinction can be traced, but κε as an enclitic is somewhat less emphatic; ἄν is preferred by Hom. in negative clauses, κε ([etym.] ν) with the relative.A In Simple Sentences, and in the Apodosis of Compound Sentences; here ἄν belongs to the Verb, and denotes that the assertion made by the Verb is dependent on a condition, expressed or implied: thus ἦλθεν he came, ἦλθεν ἄν he would have come (under conditions, which may or may not be defined), and so he might have come; ἔλθοι may he come, ἔλθοι ἄν he would come (under certain conditions), and so he might come.I WITH INDICATIVE:1 with historical tenses, generally [tense] impf. and [tense] aor., less freq. [tense] plpf., never [tense] pf., v. infr.,a most freq. in apodosis of conditional sentences, with protasis implying nonfulfilment of a past or present condition, and apod. expressing what would be or would have been the case if the condition were or had been fulfilled. The [tense] impf. with ἄν refers to continued action, in Hom. always in past time, exc. perh. . 178; later also in [tense] pres. time, first in Thgn.905; πολὺ ἂν θαυμαστότερον ἦν, εἰ ἐτιμῶντο it would be far more strange if they were honoured, Pl.R. 489a; οὐκ ἂν νήσων ἐκράτει, εἰ μή τι καὶ ναυτικὸν εἶχεν he would not have been master of islands if he had not had also some naval power, Th.1.9. The [tense] aor. strictly refers only to past time, Pi.N.11.24, etc.; εἰ τότε ταύτην ἔσχε τὴν γνώμην, οὐδὲν ἂν ὧν νυνὶ πεποίηκεν ἔπραξεν if he had then come to this opinion, he would have accomplished nothing of what he has now done, D.4.5, al., but is used idiomatically with Verbs of saying, answering, etc., as we say I should have said,εἰ μὴ πατὴρ ἦσθ', εἶπον ἄν σ' οὐκ εὖ φρονεῖν S.Ant. 755
, cf. Pl.Smp. 199d, Euthphr. 12d, etc.: the [tense] plpf. refers to completed actions, as ὃ εἰ ἀπεκρίνω, ἱκανῶς ἂν ἤδη παρὰ σοῦ τὴν ὁσιότητα ἐμεμαθήκη I should have already learnt.., ib. 14c;εἰ ὁ ἀνὴρ ἀπέθανεν, δικαίως ἂν ἐτεθνήκει Antipho 4.2.3
.b the protasis is freq. understood: ὑπό κεν ταλασίφρονά περ δέος εἷλεν fear would have seized even the stout-hearted (had he heard the sound), Il.4.421; τὸ γὰρ ἔρυμα τῷ στρατοπέδῳ οὐκ ἂν ἐτειχίσαντο they would not have built the wall (if they had not won a battle), Th.1.11; πολλοῦ γὰρ ἂν ἦν ἄξια for (if that were so) they would be worth much, Pl.R. 374d; οὐ γὰρ ἦν ὅ τι ἂν ἐποιεῖτε for there was nothing which you could have done, i. e. would have done (if you had tried), D.18.43.c with no definite protasis understood, to express what would have been likely to happen, or might have happened in past time: ἢ γάρ μιν ζωόν γε κιχήσεαι, ἤ κεν Ὀρέστης κτεῖνεν ὑποφθάμενος for either you will find him alive, or else Orestes may already have killed him before you, Od.4.546; ὃ θεασάμενος πᾶς ἄν τις ἀνὴρ ἠράσθη δάϊος εἶναι every man who saw this (the 'Seven against Thebes') would have longed to be a warrior, Ar. Ra. 1022; esp. with τάχα, q. v., ἀλλ' ἦλθε μὲν δὴ τοῦτο τοὔνειδος τάχ' ἂν ὀργῇ βιασθὲν μᾶλλον ἢ γνώμῃ φρενῶν, i. e. it might perhaps have come, S.OT 523; τάχα ἂν δὲ καὶ ἄλλως πως ἐσπλεύσαντες (sc. διέβησαν ) and they might also perhaps have crossed by sea (to Sicily) in some other way, Th.6.2, cf. Pl.Phdr. 265b.d ἄν is freq. omitted in apodosi with Verbs expressing obligation, propriety, or possibility, as ἔδει, ἐχρῆν, εἰκὸς ἦν, etc., and sts. for rhetorical effect, εἰ μὴ.. ᾖσμεν, φόβον παρέσχεν it had caused (for it would have caused) fear, E.Hec. 1113. This use becomes more common in later Gk.2 with [tense] fut. ind.:a frequently in [dialect] Ep., usu. with κεν, rarely ἄν, Il.9.167, 22.66, indicating a limitation or condition, ὁ δέ κεν κεχολώσεται ὅν κεν ἵκωμαι and he will likely be angry to whom- soever I shall come, ib.1.139; καί κέ τις ὧδ' ἐρέει and in that case men will say, 4.176;ἐγὼ δέ κέ τοι καταλέξω Od.3.80
; so in Lyr.,μαθὼν δέ τις ἂν ἐρεῖ Pi.N.7.68
, cf. I.6(5).59.b rarely in codd. of [dialect] Att. Prose writers,σαφὲς ἂν καταστήσετε Th.1.140
;οὐχ ἥκει, οὐδ' ἂν ἥξει δεῦρο Pl.R. 615d
, cf. Ap. 29c, X.An.2.5.13; dub. in Hp.Mul.2.174: in later Prose, Philostr. V A2.21, S E.M.9.225: also in Poetry, E.El. 484, Ar.Av. 1313;οὐκ ἂν προδώσω Herod.6.36
(corr. - δοίην):— for ἄν with [tense] fut. inf. and part. v. infr.II WITH SUBJUNCTIVE, only in [dialect] Ep., the meaning being the same as with the [tense] fut. ind. (1.2a), freq. with [ per.] 1st pers., as εἰ δέ κε μὴ δώῃσιν, ἐγὼ δέ κεν αὐτὸς ἕλωμαι in that case I will take her myself, Il.1.324; πείθευ, ἐγὼ δέ κέ τοι εἰδέω χάριν obey and if so I will be grateful, 14.235 (the subj. is always introduced by δέ in this usage); also with other persons, giving emphasis to the future, , al.III WITH OPTATIVE (never [tense] fut., rarely [tense] pf. πῶς ἂν λελήθοι [με]; X.Smp.3.6):a in apodosis of conditional sentences, after protasis in opt. with εἰ or some other conditional or relative word, expressing a [tense] fut. condition:ἀλλ' εἴ μοί τι πίθοιο, τό κεν πολὺ κέρδιον εἴη Il.7.28
;οὐ πολλὴ ἂν ἀλογία εἴη, εἰ φοβοῖτο τὸν θάνατον; Pl.Phd. 68b
:—in Hom. [tense] pres. and [tense] aor. opt. with κε or ἄν are sts. used like [tense] impf. and [tense] aor. ind. with ἄν in Attic, with either regular ind. or another opt. in the protasis: καί νύ κεν ἔνθ' ἀπόλοιτο.. εἰ μὴ.. νόησε κτλ., i. e. he would have perished, had she not perceived, etc., Il.5.311, cf. 5.388, 17.70; εἰ νῦν ἐπὶ ἄλλῳ ἀεθλεύοιμεν, ἦ τ' ἂν ἐγὼ.. κλισίηνδε φεροίμην if we were now contending in another's honour, I should now carry.., ib.23.274: so rarely in Trag., οὐδ' ἂν σὺ φαίης, εἴ σε μὴ κνίζοι λέχος (for εἰ μὴ ἔκνιζε) E.Med. 568.b with protasis in [tense] pres. or [tense] fut., the opt. with ἄν in apodosi takes a simply future sense: φρούριον δ' εἰ ποιήσονται, τῆς μὲν γῆς βλάπτοιεν ἄν τι μέρος they might perhaps damage, Th.1.142, cf. 2.60, Pl.Ap. 25b, R. 333e;ἢν οὖν μάθῃς.. οὐκ ἂν ἀποδοίην Ar.Nu. 116
, cf. D.1.26, al.c with protasis understood:φεύγωμεν· ἔτι γάρ κεν ἀλύξαιμεν κακὸν ἦμαρ Od.10.269
; οὔτε ἐσθίουσι πλείω ἢ δύνανται φέρειν· διαρραγεῖεν γὰρ ἄν for (if they should do so) they would burst, X. Cyr.8.2.21; τὸν δ' οὔ κε δύ' ἀνέρε.. ἀπ' οὔδεος ὀχλίσσειαν two men could not heave the stone from the ground, i. e. would not, if they should try, Il.12.447; , cf. D.2.8: in Hom. sts. with ref. to past time, .d with no definite protasis implied, in potential sense: ἡδέως δ' ἂν ἐροίμην Λεπτίνην but I would gladly ask Leptines, D.20.129; βουλοίμην ἄν I should like , Lat. velim (but ἐβουλόμην ἄν I should wish, if it were of any avail, vellem); ποῖ οὖν τραποίμεθ' ἄν; which way then can we turn? Pl.Euthd. 290a; οὐκ ἂν μεθείμην τοῦ θρόνου I will not give up the throne, Ar.Ra. 830; idiomatically, referring to the past, αὗται δὲ οὐκ ἂν πολλαὶ εἶεν but these would not (on investigation) prove to be many, Th.1.9; εἴησαν δ' ἂν οὗτοι Κρῆτες these would be (i. e. would have been) Cretans, Hdt.1.2: used in order to soften assertions by giving them a less positive form, as οὐκ ἂν οὖν πάνυ γέ τι σπουδαῖον εἴη ἡ δικαιοσύνη, i.e. it would not prove to be, etc. (for, it is not, etc.), Pl.R. 333e.e in questions, expressing a wish:τίς ἂν θεῶν.. δοίη; S.OC 1100
, cf.A.Ag. 1448;πῶς ἂν θάνοιμι; S.Aj. 389
: hence (with no question) as a mild command, exhortation, or entreaty, ; σὺ μὲν κομίζοις ἂν σεαυτὸν ᾗ θέλεις you may take yourself off (milder than κόμιζε σεαυτόν), S.Ant. 444; χωροῖς ἂν εἴσω you may go in, El. 1491; κλύοις ἂν ἤδη, Φοῖβε hear me now, Phoebus, ib. 637; φράζοις ἄν, λέγοις ἄν, Pl.Phlb. 23c, 48b.f in a protasis which is also an apodosis: εἴπερ ἄλλῳ τῳ ἀνθρώπων πειθοίμην ἄν, καὶ σοὶ πείθομαι if I would trust any (other) man (if he gave me his word), I trust you, Id.Prt. 329b; εἰ μὴ ποιήσαιτ' ἂν τοῦτο if you would not do this (if you could), D.4.18, cf. X.Mem.1.5.3, Plot.6.4.16.g rarely omitted with opt. in apodosis: , cf. 14.123, Il.5.303; also in Trag.,θᾶσσον ἢ λέγοι τις E.Hipp. 1186
;τεὰν δύνασιν τίς.. κατάσχοι; S.Ant. 605
.h ἄν c. [tense] fut. opt. is prob. always corrupt (cf. 1.2b), as τὸν αὐτὸν ἂν ἐπαινέσοι ( ἐπαινέσαι Bekk.) Pl.Lg. 719e; εἰδὼς ὅτι οὐδέν' ἂν καταλήψοιτο ( οὐδένα Bekk.) Lys.1.22.IV WITH INF. and PART. (sts. ADJ. equivalent to part.,τῶν δυνατῶν ἂν κρῖναι Pl.R. 577b
) representing ind. or opt.:1 [tense] pres. inf. or part.:a representing [tense] impf. ind., οἴεσθε τὸν πατέρα.. οὐκ ἂν φυλάττειν; do you think he would not have kept them safe? ([etym.] οὐκ ἂν ἐφύλαττεν), D.49.35; ἀδυνάτων ἂν ὄντων [ὑμῶν] ἐπιβοηθεῖν when you would have been unable, Th.1.73, cf. 4.40.b representing [tense] pres. opt., πόλλ' ἂν ἔχων (representing ἔχοιμ' ἄν)ἕτερ' εἰπεῖν παραλείπω D. 18.258
, cf. X.An.2.3.18: with Art., .2 [tense] aor. inf. or part.:a representing [tense] aor. ind., οὐκ ἂν ἡγεῖσθ' αὐτὸν κἂν ἐπιδραμεῖν; do you not think he would even have run thither? ([etym.] καὶ ἐπέδραμεν ἄν), D.27.56; ἴσμεν ὑμᾶς ἀναγκασθέντας ἄν we know you would have been compelled, Th.1.76, cf. 3.89; ῥᾳδίως ἂν ἀφεθείς when he might easily have been acquitted, X.Mem.4.4.4.b representing [tense] aor. opt., οὐδ' ἂν κρατῆσαι αὐτοὺς τῆς γῆς ἡγοῦμαι I think they would not even be masters of the land ([etym.] οὐδ' ἂν κρατήσειαν), Th.6.37, cf. 2.20; ὁρῶν ῥᾳδίως ἂν αὐτὸ ληφθέν ([etym.] ληφθείη ἄν) Id.7.42; οὔτε ὄντα οὔτε ἂν γενόμενα, i.e. things which are not and never could happen ([etym.] ἃ οὔτε ἂν γένοιτο), Id.6.38.3 [tense] pf. inf. or part. representing:a [tense] plpf. ind., πάντα ταῦθ' ὑπὸ τῶν βαρβάρων ἂν ἑαλωκέναι ([etym.] φήσειεν ἄν ) he would say that all these would have been destroyed by the barbarians ([etym.] ἑαλώκη ἄν), D.19.312.b [tense] pf. opt., οὐκ ἂν ἡγοῦμαι αὐτοὺς δίκην ἀξίαν δεδωκέναι, εἰ.. καταψηφίσαισθε I do not believe they would (then) have suffered ([etym.] δεδωκότες ἂν εἶεν) punishment enough, etc., Lys.27.9.4 [tense] fut. inf.or part., never in [dialect] Ep., and prob. always corrupt in [dialect] Att., νομίζων μέγιστον ἂν σφᾶς ὠφελήσειν (leg. - ῆσαι) Th.5.82, cf. 6.66, 8.25,71; part. is still more exceptional, (codd.), cf. D.19.342 (v. l.); both are found in later Gk.,νομίσαντες ἂν οἰκήσειν οὕτως ἄριστα Plb.8.30.8
, cf. Plu.Marc.15, Arr.An.2.2.3; with part., Epicur. Nat.14.1, Luc.Asin.26, Lib.Or.62.21, dub. l. in Arr.An.6.6.5.I In the protasis of conditional sentences with εἰ, regularly with the subjunctive. In Attic εἰ ἄν is contracted into ἐάν, ἤν, or ἄν ([etym.] ᾱ) (q. v.): Hom. has generally εἴ κε (or αἴ κε), sts. ἤν, onceεἰ δ' ἄν Il.3.288
, twiceεἴπερ ἄν 5.224
, 232. The protasis expresses either future condition (with apod. of [tense] fut. time) or general condition (with apod. of repeated action): εἰ δέ κεν ὣς ἔρξῃς καί τοι πείθωνται Ἀχαιοί, γνώσῃ ἔπειθ' ὅς .. if thus thou shalt do.., ib.2.364; ἢν ἐγγὺς ἔλθῃ θάνατος, οὐδεὶς βούλεται θνῄσκειν if death (ever) come near.., E.Alc. 671.2 in relative or temporal clauses with a conditional force; here ἄν coalesces with ὅτε, ὁπότε, ἐπεί, ἐπειδή, cf. ὅταν, ὁπόταν, ἐπήν or ἐπάν ([dialect] Ion. ἐπεάν) , ἐπειδάν: Hom. has ὅτε κε (sts. ὅτ' ἄν) , ὁππότε κε (sts. ὁπότ' ἄν or ὁππότ' ἄν) , ἐπεί κε (ἐπεὶ ἄν Il.6.412
), ἐπήν, εὖτ' ἄν; v. also εἰσόκε ([etym.] εἰς ὅ κε):—τάων ἥν κ' ἐθέλωμι φίλην ποιήσομ' ἄκοιτιν whomsoever of these I may wish.., Il.9.397; ὅταν δὴ μὴ σθένω, πεπαύσομαι when I shall have no strength.., S.Ant.91; ἐχθρὸς γάρ μοι κεῖνος.. ὅς χ' ἕτερον μὲν κεύθῃ ἐνὶ φρεσίν, ἄλλο δὲ εἴπῃ who ever conceals one thing in his mind and speaks another, Il.9.312, cf. D.4.6, Th.1.21. —Hom. uses subj. in both the above constructions (1 and 2 ) without ἄν; also Trag. and Com., S.Aj. 496, Ar.Eq. 805; μέχρι and πρίν occasionally take subj. without ἄν in prose, e.g. Th.1.137,4.16 ([etym.] μέχρι οὗ), Pl.Phd. 62c, Aeschin.3.60.3 in final clauses introduced by relative Advbs., as ὡς, ὅπως (of Manner), ἵνα (of Place), ὄφρα, ἕως, etc. (of Time), freq. in [dialect] Ep.,σαώτερος ὥς κε νέηαι Il.1.32
;ὄφρα κεν εὕδῃ Od.3.359
;ὅπως ἂν εἰδῇ.. φράσω A.Pr. 824
;ὅπως ἂν φαίνηται κάλλιστος Pl.Smp. 198e
; (where ὅπως with [tense] fut. ind. is the regular constr.); also after ὡς in Hdt., Trag., X.An.2.5.16, al., once in Th.6.91 (but [tense] fut. ind. is regular in [dialect] Att.); ἵνα final does not take ἄν or κε exc.ἵνα εἰδότες ἤ κε θάνωμεν ἤ κεν.. φύγοιμεν Od.12.156
( ἵνα = where in S.OC 405). μή, = lest, takes ἄν only with opt. in apodosis, as S.Tr. 631, Th.2.93.II in [dialect] Ep. sts. with OPTATIVE as with subj. (always κε ([etym.] ν), exc.εἴ περ ἂν αὐταὶ Μοῦσαι ἀείδοιεν Il.2.597
),εἴ κεν Ἄρης οἴχοιτο Od.8.353
; ὥς κε.. δοίη ᾧ κ' ἐθέλοι that he might give her to whomsoever he might please, ib.2.54: so in Hdt. in final clauses, 1.75,99:—in Od.23.135 ὥς κέν τις φαίη, κέν belongs to Verb in apod., as inὡς δ' ἂν ἥδιστα ταῦτα φαίνοιτο X.Cyr.7.5.81
.2 rarely in oratio obliqua, where a relat. or temp. word retains an ἄν which it would have with subj. in direct form, S.Tr. 687, X.Mem.1.2.6, Isoc.17.15;ἐπειδὰν δοκιμασθείην D.30.6
:—similarly after a preceding opt.,οὐκ ἀποκρίναιο ἕως ἂν.. σκέψαιο Pl.Phd. 101d
.III rarely with εἰ and INDICATIVE in protasis, only in [dialect] Ep.:1 with [tense] fut. ind. as with subj.:αἴ κεν Ἰλίου πεφιδήσεται Il.15.213
:—so with relat.,οἵ κέ με τιμήσουσι 1.175
.2 with εἰ and a past tense of ind., once in Hom.,εἰ δέ κ' ἔτι προτέρω γένετο δρόμος Il.23.526
; so Ζεὺς γάρ κ' ἔθηκε νῆσον εἴ κ' ἐβούλετο Orac. ap. Hdt.1.174, cf. Ar.Lys. 1099 (cod. R), A.R.1.197.IV in later Greek, ἄν with relative words is used with INDICATIVE in all tenses, asὅπου ἂν εἰσεπορεύετο Ev.Marc.6.56
;ὅσ' ἂν πάσχετε PFay. 136
(iv A. D.);ἔνθ' ἂν πέφυκεν ἡ ὁλότης εἶναι Phlp. in Ph.436.19
; cf. ἐάν, ὅταν.C with [tense] impf. and more rarely [tense] aor. ind. in ITERATIVE construction, to express elliptically a condilion fulfilled whenever an opportumty offered; freq. in Hdt. (not in Pi. or A.), κλαίεσκε ἂν καὶ ὀδυρέσκετο she would (i. e. used to) weep and lament, 3.119;εἶτα πῦρ ἂν οὐ παρῆν S.Ph. 295
; εἴ τινες ἴδοιεν.., ἀνεθάρσησαν ἄν whenever they saw it, on each occasion, Th.7.71;διηρώτων ἂν αὐτοὺς τί λέγοιεν Pl.Ap. 22b
: inf. representing [tense] impf. of this constr., ἀκούω Λακεδαιμονίους τότε ἐμβαλόντας ἂν.. ἀναχωρεῖν, i. e. I hear they used to retire ([etym.] ἀνεχώρουν ἄν), D.9.48.D GENERAL REMARKS:I POSITION OF ἄν.1 in A, when ἄν does not coalesce with the relat. word (as in ἐάν, ὅταν), it follows directly or is separated only by other particles, as μέν, δέ, τε, ga/r, kai/, νυ, περ, etc.; asεἰ μέν κεν.. εἰ δέ κε Il.3.281
-4; rarely by τις, asὅποι τις ἄν, οἶμαι, προσθῇ D.2.14
:—in Hom. and Hes. two such Particles may precede κε, asεἴ περ γάρ κεν Od.8.355
, cf. Il.2.123; εἰ γάρ τίς κε, ὃς μὲν γάρ κε, Hes.Op. 280, 357; rarely in Prose,ὅποι μὲν γὰρ ἄν D.4.45
;ὁπότερος οὖν ἄν Ar.Ra. 1420
: alsoὁπόσῳ πλέον ἄν Pl.Lg. 647e
, cf. 850a; .2 in apodosis, ἄν may stand either next to its Verb (before or after it), or after some other emphatic word, esp. an interrog., a negative (e. g. οὐδ' ἂν εἷς, οὐκ ἂν ἔτι, etc.), or an important Adjective or Adverb; also after a participle which represents the protasis, λέγοντος ἄν τινος πιστεῦσαι οἴεσθε; do you think they would have believed it if any one had told them? ([etym.] εἴ τις ἔλεγεν, ἐπίστευσαν ἄν), D.6.20.3 ἄν is freq. separated from its inf. by such Verbs as οἴομαι, δοκέω, φημί, οἶδα, etc., οὐκ ἂν οἴει .. ; freq. in Pl., Grg. 486d, al.; καὶ νῦν ἡδέως ἄν μοι δοκῶ κοινωνῆσαι I think that I should, X.Cyr.8.7.25;οὕτω γὰρ ἄν μοι δοκεῖ ἥ τε πόλις ἄριστα διοικεῖσθαι Aeschin.3.2
; ἃ μήτε προῄδει μηδεὶς μήτ' ἂν ᾠήθη τήμερον ῥηθῆναι (where ἄν belongs to ῥηθῆναι) D. 18.225:—in the phrase οὐκ οἶδ' ἂν εἰ, or οὐκ ἂν οἶδ' εἰ, ἄν belongs not to οἶδα, but to the Verb which follows, οὐκ οἶδ' ἂν εἰ πείσαιμι, for οὐκ οἶδα εἰ πείσαιμι ἄν, E.Med. 941, cf. Alc.48;οὐκ ἂν οἶδ' εἰ δυναίμην Pl. Ti. 26b
;οὐκ οἶδ' ἂν εἰ ἐκτησάμην X.Cyr.5.4.12
.4 ἄν never begins a sentence, or even a clause after a comma, but may stand first after a parenthetic clause,ἀλλ', ὦ μέλ', ἄν μοι σιτίων διπλῶν ἔδει Ar. Pax
<*>37.II REPETITION OF ἄν:—in apodosis ἄν may be used twice or even three times with the same Verb, either to make the condition felt throughout a long sentence, or to emphasize certain words,ὥστ' ἄν, εἰ σθένος λάβοιμι, δηλώσαιμ' ἄν S.El. 333
, cf. Ant.69, A.Ag. 340, Th.1.76 (fin.), 2.41, Pl.Ap. 31a, Lys.20.15; , cf. S.Fr. 739; attached to a parenthetical phrase, ἔδρασ' ἄν, εὖ τοῦτ' ἴσθ' ἄν, εἰ .. Id.OT 1438.2 ἄν is coupled with κε ([etym.] ν ) a few times in Hom., as Il.11.187, 202, Od.5.361, al.; cf. ἤν περ γάρ κ' ἐθέλωσιν v.l. ib.18.318.III ELLIPSIS OF VERB:—sts. the Verb to which ἄν belongs must be supplied, in Hom. only εἰμί, as τάτ' ἔλδεται ὅς κ' ἐπιδευής (sc. ᾖ) Il.5.481; ἀλλ' οὐκ ἂν πρὸ τοῦ (sc. ἔρρεγκον) Ar.Nu.5; τί δ' ἂν δοκεῖ σοι Πρίαμος (sc. πρᾶξαι), εἰ τάδ' ἤνυσεν; A.Ag. 935
:—so in phrases like πῶς γὰρ ἄν; and πῶς οὐκ ἄν (sc. εἴη); also in ὥσπερ ἂν εἰ (or ὡσπερανεί), as φοβούμενος ὥσπερ ἂν εἰ παῖς (i. e. ὥσπερ ἂν ἐφοβήθη εἰ παῖς ἦν) Pl.Grg. 479a; so τοσοῦτον ἐφρόνησαν, ὅσον περ ἂν (sc. ἐφρόνησαν)εἰ.. Isoc.10.48
:—so also when κἂν εἰ ( = καὶ ἂν εἰ) has either no Verb in the apod. or one to which ἄν cannot belong, Pl.R. 477a, Men. 72c; cf. κἄν:—so the Verb of a protasis containing ἄν may be understood, ὅποι τις ἂν προσθῇ, κἂν μικρὰν δύναμιν (i. e. καὶ ἐὰν προσθῇ) D.2.14; ὡς ἐμοῦ οὖν ἰόντος ὅπῃ ἂν καὶ ὑμεῖς (sc. ἴητε) X.An.1.3.6.IV ELLIPSIS OF ἄν:—when an apodosis consists of several co-ordinate clauses, ἄν is generally used only in the first and understood in the others:πείθοι' ἂν εἰ πείθοι'· ἀπειθοίης δ' ἴσως A.Ag. 1049
: even when the construction is continued in a new sentence, Pl.R. 352e, cf. 439b codd.: but ἄν is repeated for the sake of clearness or emphasis, ib. 398a, cf. D.19.156 (where an opt. is implied with the third ὡς): rarely expressed with the second of two co-ordinate Verbs and understood with the first, τοῦτον ἂν.. θαρσοίην ἐγὼ καλῶς μὲν ἄρχειν, εὖ δ' ἂν ἄρχεσθαι θέλειν (i. e. καλῶς μὲν ἂν ἄρχοι, εὖ δ' ἂν θέλοι ἄρχεσθαι) S.Ant. 669.------------------------------------ἄν (B), [pron. full] [ᾱ], [dialect] Att.,A = ἐάν, ἤν, Th.4.46 codd., al.; freq. in Pl.,ἂν σωφρονῇ Phd. 61b
; ἂν θεὸς θέλῃ ib. 80d, cf. D.4.50;ἄν τ'.. ἄν τε Arist. Ath.48.4
: not common in earlier [dialect] Att. Inscrr., IG1.2a5, 2.179b49, al.: but freq. later, SIG1044.27 (iv/iii B. C.), PPetr.2p.47 (iii B. C.), PPar.32.19 (ii B. C.), PTeb.110.8 (i B. C.), Ev.Jo.20.23, etc.------------------------------------ἄν (C) or [full] ἀν, Epic form of ἀνά, q. v.------------------------------------ -
8 ισοστοιχείν
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9 ἰσοστοιχεῖν
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10 κατατακτικῶς
κατατακ-τικῶς, Adv., =A ordinate, Gloss.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > κατατακτικῶς
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11 παραβολή
παραβολ-ή, ἡ,A juxtaposition, comparison, ;π. καὶ σύγκρισις Plb.1.2.2
; ἐν παραβολῇ by juxtaposition, Arist.Top. 104a28, cf. 157a14;ἐκ παραβολῆς Id.Rh. 1420a4
.2 comparison, illustration, analogy,τὴν π. ἀπρεπῆ πεποιῆσθαι Isoc.12.227
; π. δὲ τὰ Σωκρατικά (distd. from λόγος, apologue) Arist.Rh. 1393b3;ἐκ τῶν θηρίων ποιεῖσθαι τὴν π. Id.Pol. 1264b4
.3 NT, parable, Ev.Marc.12.1, al.; type, Ep. Hebr.9.9, 11.19.4 by-word, proverb, LXX Ez.18.2, Ev.Luc.4.23; in bad sense,εἰς π. ἐν τοῖς ἔθνεσι LXX Ps.43(44).14
, cf. Wi.5.3.II moving side by side, ἐκ παραβολῆς [νεῶν] μάχεσθαι to fight a sea-fight broadside to broadside, Plb.15.2.13, cf. D.S.14.60.V Astron., conjunction,παραβολαὶ ἀλλήλων Pl.Ti. 40c
, cf. Procl. in Ti.3.146 D., Plot.3.1.5, Iamb.Myst.9.4: also f.l. for περιβολή, τοῦ ἡλίου Max.Tyr.17.9.VI Math., division, opp. multiplication, Dioph.4.22; quotient, ib.10: hence, section produced by division of a line, Nicom.Ar.2.27.VII Geom., application,π. τῶν χωρίων Pythag.
ap. Procl.in Euc.p.419 F.; τὰ ἐκ τῆς π. γενηθέντα σημεῖα, of the foci of an ellipse or hyperbola, points found by application of an area to the axis, Apollon.Perg.Con.3.45, cf. 48.2 parabola, because the square on the ordinate is equal to a rectangle whose height is equal to the abscissa applied to the parameter, ib.1.11.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > παραβολή
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12 παρατεταγμένως
II. π. ἄγεσθαι, of a straight line, to be drawn parallel to the ordinate of a conic, Apollon. Perg.Con.1.27,al.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > παρατεταγμένως
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13 σύστοιχος
σύστοιχος, ον,A belonging to the same column or series, co-ordinate, correspondent, πῦρ καὶ γῆν καὶ τὰ σ. τούτων (viz. air and water) Arist. GC 315a21, cf. Mete. 340a5;λέγεται σύστοιχα τὰ τοιάδε· οἷον τὰ δίκαια καὶ ὁ δίκαιος τῇ δικαιοσύνῃ Id.Top. 114a27
, cf. Rh. 1364b34; [full] σύστοιχα ;τὰς.. σ. τῶν ἐν τοῖς μέρεσι [κινήσεων] ἀρχάς Id.IA 707a11
;τὸ γλυκὺ καὶ τὸ λευκὸν καλῶ σύστοιχα, γένει δ' ἕτερα Id.Sens. 448a16
;ὁ γλυκὺς καὶ λιπαρὸς καὶ ὅσοι σ. τούτοις Thphr.CP6.4.2
, cf. Epicur.Ep.1p.27U.; of the concomitant circumstances of disease, Diocl.Fr.34. Adv.,τὰ -χως λεγόμενα Arist.Sens. 448a14
.2 Gramm., = ἀντίστοιχος 11, Eust.468.31.3 generally, consonant, congruous, τὰ λοιπὰ δ' ἦν τούτοις ὅμοια καὶ ς. Plb.13.8.1, cf. Antioch. Astr. in Cat.Cod.Astr.8(3).117; οὐδὲ γὰρ σύνστοιχοι ἑατῶν γίνεσθε γεγραφηκότες.. you are not even consistent with one another, BGU 1205.9 (i B.C.);ὁ μὲν νοῦς σ. ἔστω καὶ πυκνός, ἡ λέξις δὲ.. Luc.Hist. Conscr.43
.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > σύστοιχος
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14 ἀνάγω
I lead up from a lower place to a higher,ἐς Ολυμπον Thgn.1347
, E.Ba. 289;πρὸς τὸ ὄρος X.An.3.4.28
; ἱερὸν ἀ. ξόανον, of the Trojan horse, E.Tr. 525; ὁ πέπλος ἀνάγεται εἰς τὴν ἀκρόπολιν Pl Euthphr.6c.2 lead up to the high sea, carry by sea,λαὸν ἀνήγαγεν ἐνθάδ' ἀείρας Il.9.338
; , cf. 6.292;στρατὸν ἐπὶ τὴν Ἑλλάδα Hdt.7.10
.θ: but freq. = simple ἄγω, conduct, carry to a place, Il.8.203, Od.3.272; ἀ. ναῦν put a ship to sea, Hdt.6.12, 7.100, etc.; ἀνάγειν abs. in the same sense, Id.3.41, 8.76, cf. D.23.169:—but this is more common in [voice] Med., v. infr. B.I.3 take up from the coast into the interior, Od.14.272; esp. from Asia Minor into Central Asia, ἀ. παρὰ orὡς βασιλέα Hdt. 6.119
, X.HG1.4.6, An.2.6.1, etc.; from Piraeus to Athens, Id.HG2.4.8.4 bring up, esp. from the dead,ἀ. εἰς φάος Hes.Th. 626
; , S.Fr. 557 ([voice] Pass.);τῶν φθιμένων ἀ. A.Ag. 1023
, cf. E.Alc. 985; κλίνει κἀνάγει πάλιν lays low and brings up again, S.Aj. 131;ἐκ λεχέων ἀ. φάμαν παλαιάν
waken up, revive, renew,Pi.
I.4(3).22.5 ἀ. χορόν conduct the choir, Hes.Sc. 280, E.Tr. 326, Th.3.104; ἀ. θυσίαν, ὁρτήν celebrate.., Hdt.2.48,60, al., cf. Act.Ap. 7.41; sacrifice, (ii B. C.).6 lift up, raise, ;τὸ ὄμμα ἀ. ἄνω Pl.R. 533d
; ἀ. τὰς ὀφρῦς, = ἀνασπᾶν, Plu. 2.975c;ἂν πυκτεύοντες ἀνάγωσιν ἑαυτούς Id.2.541b
.7 ἀ. παιᾶνα lift up a paean, S.Tr. 210; ἄναγε πολύδακρυν ἁδονάν, of a song of lamentation, E.El. 126; .8 ἀ. εἰς τιμήν raise to honour, Plu.Num.16;τίμιον ἀ. τινά E.HF 1333
; elevate, οἱ εἰς φιλοσοφίαν ἀνάγοντες [ἀστρονομίαν] Pl.R. 529a.9 in various senses, expectorants,Hp.
Morb.3.15; ἀ. ὀδόντας cut teeth, Id.Aph.3.25; ἀ. πλῆθος αἵματος bring up blood, Plu.Cleom.30; ἀ. μηρυκισμόν chew the cud, LXX Le.11.3, al.; τὸν Νεῖλον ἀναγέτω bring the Nile up [over its banks], Luc.DDeor.3;ἀ. φάλαγγα
deploy,Plu.
Crass.23: Geom., draw a line, Arist.Metaph. 1051a25; ἀ. τεταγμένως erect as an ordinate, Apollon.Perg.Con.2.49; in building, carry a line of works to a point, Plu.Nic.18:ἀ. ὕδωρ
distil,Syn.Alch.
p.66B.12 train, rear,θετὸν υἱόν AP9.254
(Phil.):—[voice] Pass.,εἰς μέτρα ἥβης ἀνηγόμην IG12(7).449
([place name] Amorgos); of plants,ἀ. ἀμπελῶνας S.
(?)Fr. 1010.2 τὸν λόγον ἐπ' ἀρχὴν ἀ. carry back, refer to its principles, Pl.Lg. 626d;εἰς ἄλλας ἀρχάς Arist. EN 1113b20
; , cf. GA 778b1, al.;εἰς γνωριμώτερον Metaph. 1040b20
; generally, refer,πάντα τοῖς λογισμοῖς εἰς ἀσφάλειαν Plu.Brut.12
;εἰς κοινὸν ὄνομα A.D.Synt.266.13
; freq. in [voice] Pass.,ἀνάγομαι εἴς τι Procl.Inst.21
;ὑπό τι Olymp. in Mete.326.33
;ἀπό, ἔκ τινος
to be derived from,A.D.
Adv.121.25, Synt.23.26; ἀ. ἀπό, ἐξ .. derive one's subsistence from.., Vett.Val.10.15,73.11.3 ἀ. τι εἰς τὸν δῆμον, Arist.Pol. 1292a25; of persons, ἀ. τινὰ ἐπὶ τὴν συγγραφήν refer him to the contract, D.56.31.4 reduce syllogism to another figure, Arist.APr. 29b1; reduce an argument to syllogism, ib. 46b40, al.5 in Law, return a slave sold with an undisclosed defect,εἰς πρατῆρα Pl.Lg. 915c
, cf. Hyp.Ath.15.6 refer a claimant,πράτορι ἢ εἰς πόλιν ἔνδικον Milet.3
No.140.42: abs.,ὁ ἔχων ἀναγέτω Foed.Delph.Pell.2
A15;ἀ. ὅθεν εἴληφας D.45.81
.7 rebuild, Plu.Publ.15, Cam.32.10 intr. (sc. ἑαυτόν), withdraw, X.Cyr.7.1.45, etc.; ἐπὶ πόδα ἀ. retreat facing enemy, 3.3.69;ἀ. ἐπὶ σκέλος Ar.Av. 383
: metaph., ἄναγε εἰς τοὐπίσω, perh. nautical, put back again, Pl.R. 528a.B [voice] Med. and [voice] Pass., put out to sea, set sail (v. supr. 1.2), Il.1.478, Hdt.3.137, etc.: [tense] fut.ἀνάξεσθαι Th.6.30
, etc.;ἀναχθέντες Hdt.3.138
, 4.152, cf. A.Ag. 626.2 metaph., put to sea, i. e. make ready, prepare oneself,ὡς ἐρωτήσων Pl.Chrm. 155d
, cf. Erx. 392d. -
15 ἀντίστροφος
ἀντίστροφ-ος, ον,A turned so as to face one another: hence, correlative, co-ordinate, counterpart, Pl.Tht. 158c, etc.; τινί to a thing, Id.Grg. 464b, R. 605a;ἡ ῥητορική ἐστιν ἀ. τῇ διαλεκτικῇ Arist.Rh. 1354a1
, Pol. 1293a33, etc.;ἰατρικὴ ἀ. δικαιοσύνῃ Aristid.2.37
J.; also τινός the correlative or counterpart of.., Pl.R. 530d, Grg. 465d, Isoc.5.61, etc.;ἀ... ὥσπερ Arist.Pol. 1292b7
. Adv. - φως in a manner corresponding, ; being the counterpart of..,Arist.
PA 661a27; συμβαίνει δ' ἀντιστρόφως the result follows by a reversible proof, Id.Ph. 265b8.2 in Logic, converse,λόγος Phld.Rh.1.179S.
Adv.- φως Id.Sign.6
: also in Math., converse,θεώρημα Papp.970.20
;τὰ ἀ.
the converse proposition,Apollon.Perg.
Con. 4.55. Adv. - φως conversely, ib.1.38, Max.Tyr.34.4.3 contrary, opposed,τινός D.Chr.4.87
;πρός τι Luc.Merc.Cond.31
. Adv.- φως
in the opposite way,Phld.
Lib.p.31O., Ps.-Luc.Philopatr.18.III ἐξ ἀντιστρόφου by an inverted construction (cf.ἀντιστροφή 11.2
), Hdn.Fig. p.102S.IV in lyrics, antistrophic, Arist.Pr. 918b27, etc.: esp. Subst. ἀντίστροφος (sc. ᾠδή), ἡ, antistrophe, Id.Rh. 1409a26, D.H, Comp.19, etc.; also of members in a rhet. period, ἐν στροφῇ καὶ ἀντιστρόφῳ Hermog.Id.1.11.V f.l. for ἀμφίστροφος, wheeling both ways, A.Supp. 882codd.VII ἀντίστροφος, ἡ, = ἀπόστροφος Sch.Ar.Pl.3.2 ἀντίστροφοι, name for the two upper ribs, Poll.2.182.VIII Adv. - φως crosswise,τὰς χεῖρας ἀλλήλαις ἐπιβάλλειν Gal.UP5.14
; inversely, Herod.Med. ap. Orib.10.5.4, cf. Diogenian.3.30.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἀντίστροφος
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16 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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17 ἰσοστοιχέω
A = ἀντιστοιχέω, Sch.D.T. p.44H.; to be co-ordinate, Simp.in Ph.408.13.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἰσοστοιχέω
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18 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
См. также в других словарях:
Ordinate — Or di*nate, n. (Geom.) The distance of any point in a curve or a straight line, measured on a line called the axis of ordinates or on a line parallel to it, from another line called the axis of abscissas, on which the corresponding abscissa of… … The Collaborative International Dictionary of English
Ordinate — Or di*nate, a. [L. ordinatus, p. p. of ordinare. See {Ordain}.] Well ordered; orderly; regular; methodical. A life blissful and ordinate. Chaucer. [1913 Webster] {Ordinate figure} (Math.), a figure whose sides and angles are equal; a regular… … The Collaborative International Dictionary of English
Ordinate — ordinatė statusas T sritis fizika atitikmenys: angl. ordinate vok. Ordinate, f rus. ордината, f pranc. ordonnée, f … Fizikos terminų žodynas
ordinate — ordinatė statusas T sritis fizika atitikmenys: angl. ordinate vok. Ordinate, f rus. ордината, f pranc. ordonnée, f … Fizikos terminų žodynas
ordinatė — statusas T sritis fizika atitikmenys: angl. ordinate vok. Ordinate, f rus. ордината, f pranc. ordonnée, f … Fizikos terminų žodynas
Ordinate — Sf Abstand von der horizontalen Achse in einem Koordinatensystem per. Wortschatz fach. (18. Jh.) Entlehnung. Entlehnt aus l. (līnea) ōrdināta geordnete Linie , zu l. ōrdinātus geordnet, ordentlich , dem PPP. von l. ōrdināre ordnen, in Reihen… … Etymologisches Wörterbuch der deutschen sprache
ordinate — [ôrd′ n it, ôr′d nāt΄] n. [< ModL (linea) ordinate (applicata), (line applied) in (an) ordered manner] Math. the vertical Cartesian coordinate on a plane, measured from the x axis along a line parallel with the y axis to point P: see CARTESIAN … English World dictionary
Ordinate — Or di*nate, v. t. To appoint, to regulate; to harmonize. Bp. Hall. [1913 Webster] … The Collaborative International Dictionary of English
Ordinate — u. Ordinatenachse, s.u. Coordinaten … Pierer's Universal-Lexikon
Ordinate — Ordinate, s. Koordinaten … Lexikon der gesamten Technik
Ordinate — Ordināte, s. Koordinaten … Kleines Konversations-Lexikon