Perseus analyses of ἐφῆκεν:

ἐφήκω (to have arrived): imperf ind act 3rd sg
ἐφίημι (send to): aor ind act 3rd sg

LSJ entries

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ἐφήκω

ἐφήκω, fut. -ξω S. El. 304:—

A. to have arrived, Id. Aj. 34, Ant. 1257 (anap.), etc.; ἐπειδὴ ἡ ἡμέρα ἐφῆκε Th. 8.67.

2. ὅσον ἂν ἡ μόρα ἐφήκῃ so far as it reaches, so much space as it occupies, X. Lac. 12.5.

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ἐφίημι

ἐφίημι, Ion. ἐπ-, Dor. 3sg. ἐφίητι Pi. I. 2.9, Ion. 3pl. ἐπιεῖσι Hdt. 4.30: fut. ἐφήσω Od. 13.376: aor. 1 ind. ἐφῆκα, Ep. ἐφέηκα 9.38, Ion. ἐπῆκα Hdt. 5.63; in other moods aor. 2 forms were used, imper. ἔφες Il. 5.174; Ep. subj. ἐφείω 1.567, 2sg. ἐφῇς S. El. 554, opt. ἐφείην Il. 18.124; Ion. inf. ἐπειναι Hdt. 2.100; part. ἐφείς S. Aj. 495 (v.l.), etc.:—Med., pres. inf. ἐφίεσθαι Antipho 5.79; part. ἐφιέμενος Od. 13.7: fut. ἐφήσομαι Il. 23.82: aor. 2 ἐφεῖτο S. Ph. 619:—Pass., pf. ἐφέωται and ἐφεῖται Hsch.: [ἐφῐημι Ep., ἐφῑημι Att.; yet Hom. always uses ἐφιείς, ἐφίει, ἐφῑέμενος with [ῑ], exc. ἐφῐει Od. 24.180]:—

A. send to one, Πριάμῳ . . Ἶριν ἐφήσω Il. 24.117; μʼ ἐφέηκε . . καλέειν sent me to call, A.R. 1.712.

7. throw into, ἐς λέβητʼ ἐφῆκεν ἕψεσθαι μέλη E. Cyc. 404.

b. give up, yield, τινὶ τὴν ἡγεμονίαν Th. 1.95; πάντʼ ἐφέντες ἡδονήν E. Fr. 564; allow, τἆλλα τοῖς δούλοις Arist. Pol. 1264a21.

d. command, Pi. I. 2.9 (v.infr.B).

III. put the male to the female, ἐπῆκε ὀχεῦσαι τὸν ἵππον Hdt. 3.85, cf. 4.30, Arist. HA 630b33.

IV. as law-term, leave to another to decide, refer, δίκας ἐ. εἴς τινας D. 40.31; εἰς δικαστήριον ibid.; ἐ. τινὰ εἰς τὸ δικαστήριον refer him to . . , Id. 34.21; (sc. ἑαυτόν) appeal, εἰς τοὺς δικαστάς Id. 29.59; ἐπί τινα Luc.Bis Acc.4; εἰς ἕτερον δικαστήριον Id. Herm. 30; ἀπό τινος D.C. 64.2: abs., Id. 37.27.

2. allow or permit one to do, κάρα τέμνειν ἐφεῖτο τῷ θέλοντι S. Ph. 619 ; f.l. for ὑφ- in X. An. 6.6.31, etc.

II. c. gen., aim at, καλῶν lsoc.2.25; ἀγαθοῦ τινος Arist. EN 1094a2, etc.; in fighting, τῶν προσώπων, τῶν ὅψεων, Plu. Pomp. 71, Caes. 45.