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1 ἁρμονικός
II musical: theory of music,Pl.
Phdr. 268e, Arist.Metaph. 1077a5; ἡ ἐν τοῖς μαθήμασιν -κή (sc. ἐπιστήμη ) mathematical theory of music, ib. 997b21; ἁ. πραγματεία a treatise thereon, Plu.2.1142f; ἁρμονικὰ στοιχεῖα, title of work by Aristoxenus; ἁρμονικοί, οἱ, students of-κή, οἱ κατὰ τοὺς ἀριθμοὺς ἁ. Arist.Top. 107a16
; with play on (b), Aristox. Harm.p.I M.c ἁ. κίνησις, of the pulse, in harmony with physical state, Gal.19.376.III Arith., harmonic,μέσα Archyt.2
;ἁ. ἀναλογία Ph.1.27
, Nicom.Ar.2.22, Theo Sm.p.114H.;μεσότης Arist.Fr.47
;λόγοι Ph.1.22
([comp] Sup.);λόγοι κατ' ἀριθμὼς ἁ. συγκεκραμένοι Ti.Locr. 96a
, cf. Arist.de An. 406b29.IV ἁ. γυμνάσιον training by rule of thumb, Philostr.Gym.53.V metaph., capable of harmonizing,τακτικοὶ καὶ ἁ. Plu.2.618c
; of God, ib.946f.VI Adv. - κῶς ib.1138e, Iamb.Comm.Math.32.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἁρμονικός
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2 ἄλογος
ἄλογος, ον,I speechless, Pl.Lg. 696e. Adv.- ως
without speech,S.
OC 131, Isoc.3.9:—ἄ. ἡμέρα, = Lat. dies nefastus, on which no business may be done, Luc.Lex.9.II unreasoning, ἡδονή, ὄχλος, etc., Pl.R. 591c, Ti. 42d, etc.; brutes, animals,Democr.
164, Pl.Prt. 321b, X.Hier.7.3; esp.in late Greek, ἄλογον, τό, = horse, POxy. 138.29 (610 A.D.), PGen.14 (late).2 not according to reason, irrational, ἄ. δόξα, opp. ἡ μετὰ λόγου δ., Pl.Tht. 201c; ἀλόγῳ πάθει τὴν ἄ. συνασκεῖν αἴσθησιν, instinctive feeling, in appreciating works of art, D.H.Lys.11;ἄ. πάθος Id.Comp.23
.3 contrary to reason, absurd, Th.6.85, Pl.Tht. 203d; unaccountable, unintelligible, Lys.26.19; unfit, unsuited to its end, Th.1.32; groundless, Plb.3.15.9;ἀηδία PRyl.144.15
(38 A.D.). Adv. most freq. in this sense, Pl.R. 439d, etc.;οὐκ ἀ. οὐδ' ἀκαίρως Isoc.15.10
: [comp] Sup.- ώτατα Phld.Ir. p.44
W.III without reckoning:1 not reckoned upon, unexpected, Th.6.46 ([comp] Comp.).3 [voice] Act., not having paid one's reckoning, of an ἐρανιστής, EM70.31.IV of magnitudes, incommensurable, περὶ ἀλόγων γραμμῶν, title of work by Democr., cf. Arist.APo. 76b9, LI 968b18, Euc.10.Def.10, etc.2 in Rhythm, irrational, of feet or syllables whose time-relations cannot be expressed by a simple ratio,χορεῖος Aristox.Rhyth.2.20
; ἄλογοι, sc. συλλαβαί, D.H. Comp.20:—in Music,ἄ. διαστήματα Plu.2.1145d
:—of the pulse, unrhythmical, Herophil. ap.Ruf.Syn.Puls.4.3. -
3 ἅπτω
Aἅμμαι Hdt.1.86
: [tense] fut.ἅψομαι Od.9.379
, ἁφθήσομαι ([etym.] συν-) Gal.3.311:—[voice] Med., v.infr. (cf. ἑάφθη):— fasten or bind to, used by Hom., once in [voice] Act., ἅψας ἀμφοτέρωθεν.. ἔντερον οἰός (of a lyre-string) Od.21.408; once in [voice] Med., ἁψαμένη βρόχον.. ἀφ' ὑψηλοῖο μελάθρου having fastened the noose to the beam (to hang herself), 11.278; so laterἅψεται ἀμφὶ βρόχον.. δείρᾳ E.Hipp. 770
;ἁψαμένη βρόχον αὐχένι A.R.1.1065
:—[voice] Act.,βρόχους ἅ. κρεμαστούς E.Or. 1036
; butβρόχῳ ἅ. δέρην Id.Hel. 136
, cf. AP7.493 (Antip. Thess.).2 join,ἅ. χορόν A.Eu. 307
; πάλην τινὶ ἅ. fasten a contest in wrestling on one, engage with one, Id.Ch. 868: —[voice] Pass.,ἅπτεσθαι τὴν Μεγαρέων πόλιν καὶ Κορινθίων τοῖς τείχεσιν Arist.Pol. 1280b14
.II more freq. in [voice] Med., ἅπτομαι, [tense] fut. ἅψομαι, [tense] aor. , with [tense] pf. [voice] Pass. (lyr.), Pl. Phdr. 260e:—fasten oneself to, grasp, c.gen.,ἅψασθαι γούνων Il.1.512
;χειρῶν 10.377
;ἁψαμένη δὲ γενείου Ὀδυσσῆα προσέειπεν Od.19.473
;ἅπτεσθαι νηῶν Il.2.152
;βρώμης δ' οὐχ ἅπτεαι οὐδὲ ποτῆτος; Od.10.379
, cf. 4.60;ὡς δ' ὅτε τίς τε κύων συὸς.. ἅπτηται κατόπισθε.. ἰσχία τε γλουτούς τε Il.8.339
; ;τῶν τύμβων ἁπτόμενοι Id.4.172
; ἅπτεσθαί τινος, Lat. manus inicere alicui, Id.3.137; ; τῶν σφυγμῶν feel the pulse, Arr.Epict.3.22.73: metaph., take hold of, cleave to, Pl.Lg. 967c.b abs., τῶν μὲν γὰρ πάντων βέλε' ἅπτεται for the spears of all the Trojans reach their mark, Il.17.631; .cἅ. τῆς γῆς
land,D.S.
4.48.III metaph., engage in, undertake,βουλευμάτων S.Ant. 179
; ; πολέμου prosecute it vigorously, Th.5.61;ἧπται τοῦ πράγματος D.21.155
;ψυχὴ ἡμμένη φόνων Pl.Phd. 108b
, cf. E.IT 381;τῶν μεγίστων ἀσεβημάτων Plb.7.13.6
; soἅ. τῆς μουσικῆς καὶ φιλοσοφίας Pl.R. 411c
; ἐπιτηδεύματος ib. 497e;γεωμετρίας Id.Plt. 266a
;τῆς θαλάττης Plb.1.24.7
;ἅπτεσθαι λόγου E.Andr. 662
, Pl.Euthd. 283a (but ἅπτεσθαι τοῦ λόγου attack, impugn the argument of another, Id.Phd. 86d); τούτων ἥψατο touched on these points, handled them, Th.1.97;ἅ. τῆς ζητήσεως Arist.GC 320b34
; but also, touch on, treat superficially, Pl.Lg. 694c, Arist.EE 1227a1.b abs., begin, set to work,ταῖς διανοίαις Ar.Ec. 581
.2 fasten upon, attack, Pi.N.8.22, A.Ag. 1608, etc.;μόνον τῷ δακτύλῳ Ar.Lys. 365
;τῆς οὐραγίας Plb.2.34.12
; esp. with words, Hdt.5.92.γ; of diseases, , cf. Gal.15.702;ἥψατο τῶν ἀνθρώπων Th.2.48
; ὅσα ἅπτεται ἀνθρώπων all that feed on human flesh, ib.50.3 touch, affect, , cf. S.OC 955; ;τῆς ἐμῆς ἥψω φρενός E.Rh. 916
;ὥς μου χρησμὸς ἅ. φρενῶν Ar.Eq. 1237
; make an impression upon, (Pessinus, ii B. C.).6 come up to, reach, overtake, X.HG5.4.43; attain,τῆς ἀληθείας Pl.Phd. 65b
;τοῦ τέλους Id.Smp. 211b
: in Pi., c. dat.,ἀγλαΐαις P.10.28
;στάλαισιν Ἡρακλείαις Id.I.4(3).12
; but also c. gen.,Ἡρακλέος σταλᾶν Id.O.3.44
.8 Geom., of bodies and surfaces, to be in contact, Arist.Ph. 231a22, cf. Metaph. 1002a34, al., S.E.M.3.35; of lines or curves, meet, Euc.3Def.2; touch, Id.4Def.5, Archim. Sph.Cyl.1.28; pass through a point, Euc.4Defs.2,6; of points, lie on a line or curve, ib.Defs.1,3; ἅπτεται τὸ σημεῖον θέσει δεδομένης εὐθείας the locus of the point is a given straight line, Id. ap. Papp.656.6,al.B [voice] Act., kindle, set on fire (i.e. by contact of fire), Hdt.8.52, etc. (so in [voice] Med., Call.Dian. 116); : metaph.,πυρσὸν ὕμνων Pi.I.4(3).43
:—[voice] Pass., to be set on fire, ; ὡς ἅφθη τάχιστα τὸ λήιον.. ἅψατο νηοῦ as soon as the corn caught fire, it set fire to the temple, Hdt.1.19; πυρῆς ἤδη ἁμμένης ib.86;ἧπται πυρί E.Hel. 107
.II ἅ. πῦρ kindle a fire, ib. 503:—[voice] Pass., ἄνθρακες ἡμμένοι red-hot embers, Th.4.100;δᾷδ' ἐνεγκάτω τις ἡμμένην Ar.Nu. 1490
, cf. Pl. 301.
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