Perseus analysis of ἵκηται:

ἱκνέομαι (come): aor subj mp 3rd sg

LSJ entry

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ἱκνέομαι

ἱκνέομαι, lengthd. form of ἵκω (q. v.), ἱκάνω, wh. are the Homeric forms of the pres. (exc. ἱκνεύμεναι, ἱκνεύμεσθα, Od. 9.128, 24.339), first in Alc. 98 (s. v.l.): impf. ἱκνεῖτο S. OC 970: fut. ἵξομαι Il. 6.502, Parm. 3.2, A. Supp. 159 (lyr.); Dor. ἱξοῦμαι AP 9.341 (Glauc.): aor. 2 ἱκόμην Il. 8.149, etc.; inf. ἴκεσθαι Sapph. Supp. 1.2 [ῐ, exc. when lengthd. by the augm.]; for part. ἴκμενος v. sub voce: pf. ἷγμαι S. Tr. 229, part. ἱγμένος Id. Ph. 494: non-thematic aor. 2 ἷκτο Hes. Th. 481, [Simon.] 179.4, Euph. 2: (ἀφικνέομαι is used in early Prose, exc. in signf. III; ἵκοντο is f.l. in Th. 5.40, ἵκηται is a poet. reminiscence in Pl. Phdr. 276d; but ἵκετο is found in Hdt. 1.216, ἵκηται Hp. Loc.Hom. 47; also in later Prose, Luc. Salt. 5, DDeor. 6.4, Procop. Pers. 1.4, 2.21):—

2. reach, attain to, ποσὶν οὖδας ἱ. Od. 8.376; οὐδʼ ἵκετο χρόα καλόν, of a spear, Il. 11.352; οὐδʼ ὀστέον ἵκετο Od. 19.451 (v. ὑπερίημι); so of things, ἠχή, καπνὸς αἰθέρʼ ἱ., Il. 13.837, 18.207; ἔμπης ἐς γαῖάν τε καὶ οὐρανὸν ἵκετʼ ἀϋτμή 14.174; ἐς πόλιν ἵκετʼ ἀϋτή Od. 14.265; of Time, ἥβης μέτρον or ἥβην ἱ., Il. 11.225, 24.728, etc.; γήραος οὐδόν Od. 15.246; so ἐπὶ γῆρας 8.227; ἠῶ ἱ. live till morn, 17.497; also ὀλέθρου πείραθʼ ἱ. Il. 6.143; λέκτροιο παλαιοῦ θεσμὸν ἵκοντο Od. 23.296, cf. 354; θίλην ἐπὶ γένναν ἵ. Emp. 110.9; ἐς ἄπειρον Xenoph. 28; ἐς τὸ τυθῆναι Hdt. 1.216; εἰς τὸ λήθης γῆρας Pl. Phdr. l.c.:—in various phrases, ἱ. μετὰ κλέος come in quest of glory, Il. 11.227; ἐς χεῖρας ἱ. come into oneʼs power, 10.448; ὅ τι χεῖρας ἵκοιτο whatever came to hand, Od. 12.331; ἱ. ἐς γενεάν τινος into his family, Pi. N. 10.14; ἐς λόγους τοὺς σοὺς ἱ. to speak with thee, S. El. 315; ἐνθάδʼ ἵξομαι shall come to this at last, Id. Aj. 1365; ἤν ποτε δασμὸς ἵκηται if ever a division come about, Il. 1.166.

II. with a person as object, τινα ib.139, etc.; ἔς τινα Od. 6.176; but also, come to his house, 20.372; Πηλεΐωνάδʼ ἵ. to the hut of the son of P., Il. 24.338; μετὰ Τρῶας ἱ. 3.264: rarely c. dat., ἐπειγομένοισι δʼ ἵκοντο came to them at need, 12.374 ; cf. ἱκάνω II.

III. pres. and impf., it becomes, befits, pertains to, c. acc. et inf., φαμὲν ἡμέας ἱκνέεσθαι ἡγεμονεύειν Hdt. 9.26; τοὺς μάλιστα ἱκνέεται (sc. κεκάρθαι) Id. 2.36; ἱκνέεται it is usual that . . , Hp. Art. 63; later, not impers., οὗ ἡ ἱερουργία ἱκνεῖτο D.C. Fr. 25.5; ὅ[σα τᾶς δίκας ἱ] κνεῖται SIG 953.46 (Cnidos, ii B.C.).

b. αὐτὸς καὶ ὧν ἱκνεῖται, of a man and those to whom he belongs, i.e. his family, ib.46.25, al. (Halic.).

2. freq. in part., τὸ ἱκνεύμενον that which is fitting, proper, Hdt. 6.84; ὁ ἱ., with or without χρόνος, the fit, proper time, Hp. Aër. 7, Hdt. 6.86.αʹ; ἐν ἱκνουμένᾳ ἁμέρᾳ Orac. ap. D. 43.66; τὸ ἱ. ἀνάλωμα the quota of expense, Th. 1.99; κατὰ τοὺς ἱ. χρόνους Arist. GA 750b13 (also of the latter days, D.H. 1.66); ἱ. καιροί Thphr. CP 1.13.3; τὰ -ούμενα μεγέθη Arist. GA 772a8; ἡ ἱ. ἐπιστήμη Id. Pol. 1288b16; τῆς ἱ. ἡλικίας τυχεῖν ib.1332b41; also ἱκνούμεναι ἀποδείξεις convincing proofs, Phld. Piet. 79; οὐδὲν εἴρηται ἱ. S.E. M. 1.205; λόγος τινὶ ἱκνούμενος favourable, SIG 679.77 (Magn. Mae., ii B.C.). Adv. ἱκνουμένως, Ion. -ευμένως, fittingly, aright, Hdt. 6.65, Hp. Mul. 2.135, M.Ant. 5.12.