A.of or belonging to a δαίμων: properly miraculous, marvellous, but:
I. in Hom. only in voc., δαιμόνιε, -ίη, good sir, or lady, addressed to chiefs or commoners, Il.2.190,200, al., Hes. Th.655: pl., Od.4.774: esp. in addressing strangers, 23.166,174; used by husbands and wives, Il.6.407,486 (Hector and Andromache), 24.194 (Priam to Hecuba): later c. gen., “δαιμόνιε ἀνδρῶν” Hdt.4.126, 7.48, 8.84: freq. in Com., in an iron. sense, “ὦ δαιμόνι᾽ ἀνδρῶν” Ar. Ec.564,784, etc.; “ὦ δαιμόνι᾽” Id.Ra.44,175; “ὦ δαιμόνι᾽ ἀνθρώπων” Id.Av.1638, cf. Pl.R.344d, 522b, Grg.489d, etc.
II. from Hdt. and Pi. downwds. (Trag. in lyr.), heaven-sent, miraculous, marvellous, “βῶλαξ” Pi.P.4.37; “τέρας” B.15.35, S.Ant.376; “ὁρμή” Hdt.7.18; ἀραί, ἄχη, A.Th.892, Pers.581; “ἡ φύσις δ. ἀλλ᾽ οὐ θεία” Arist.Div. Somn.463b14; “εὐεργεσία” D.2.1; εἰ μή τι δ. εἴη were it not a divine intervention, X.Mem.1.3.5, cf. S.El.1270; “τὰ δαιμόνια” visitations of heaven, ways of God, Th.2.64, X.Mem.1.1.12; “πολλαὶ μορφαὶ τῶν δ.” E.Alc.1159, al.; “δ. ἀνάγκη” Lys. l.c.; δ. τύχη of ill fortune, Pl.Hp. Ma.304b; Ἄπολλον, ἔφη, δαιμονίας ὑπερβολῆς ! Id.R.509c.
2. of persons, “τῷ δ. ὡς ἀληθῶς καὶ θαυμαστῷ” Id.Smp.219b; ὁ περὶ τοιαῦτα σοφὸς δ. ἀνήρ ib.203a; “δαιμόνιος τὴν σοφίαν” Luc.Philops.32: Comp. “-ώτερος” D.C.53.8.
III. Adv. -ίως by Divine power, opp. ἀνθρωπίνως, Aeschin.3.133, cf.Pl.Ti.25e; marvellously, Ar.Nu.76; “δ. περί τι ἐσπουδακώς” Aeschin.1.41; δ. ποιεῖ, of remedies, Aët.15.14, al.; [“οἶνος] δ. γέρων” Alex.167.5; δ. καὶ μεγαλοπρεπῶς prob. in Epicur.Fr. 183 (cf. δάϊος): neut. pl. as Adv., “δαιμόνια” Ar.Pax585; “δαιμονιώτατα ἀποθνῄσκει” most clearly by the hand of the gods, X.HG7.4.3: also in fem. dat., δαιμονίᾳ, formed like κοινῇ, θεσπεσίῃ, etc., Pi.O.9.110.