Perseus analyses of ἀπεδέξατ':

ἀπεδέξατο,ἀποδέχομαι (accept): aor ind mid 3rd sg
ἀπεδέξατο,ἀποδείκνυμι (point away from): aor ind mid 3rd sg (ionic)
ἀπεδέξατε,ἀποδείκνυμι (point away from): aor ind act 2nd pl (ionic)

LSJ entries

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ἀποδέχομαι

ἀποδέχομαι, Ion. ἀποδέκομαι, fut. -δέξομαι: aor. -εδεξάμην: pf. -δέδεγμαι (for possible pass. usages of this tense v. ἀποδείκνυμι A. II.3): —

2. accept as a teacher, follow, X. Mem. 4.1.1 ,etc.; ἀ. τινὰ σύμβουλον Pl. Prt. 323c.

3. admit to oneʼs presence, τοὺς πρεσβευτάς Plb. 21.35.5; ἀ. αὐτὸν καὶ τὰ ῥηθέντα φιλοφρόνως 21.22.1, cf. 3.66.8.

4. mostly of admitting into the mind,

a. receive favourably, approve, ἀπολογίαν Antipho 3.2.2; κατηγορίας, διαβολάς, Th. 3.3, 6.29; τοῖσι μὴ ἀποδεκομένοισι, c. acc. inf., those who do not accept the story that . ., Hdt. 6.43; freq. in Pl., δοῦναί τε καὶ ἀ. λόγον R. 531e; τὴν ἀπόκρισιν Prt. 329b; λόγον παρά τινος Smp. 194d, etc.; τι παρά τινος Ti. 29e; τί τινος Th. 1.44, 7.48, Pl. Phlb. 54a, etc.: c. gen. pers. mostly with part. added, ἀ. τινὸς λέγοντος receive or accept a statement from him, i.e. believe or agree with his statements, Id. Phd. 92a, 92e; μὴ ἀποδέχεσθε τούτου φενακίζοντος ὑμᾶς D. 56.31; ἀ. μαθηματικοῦ πιθανολογοῦντος Arist. EN 1094b26, cf. Rh. 1395b8: without part., οὐκ ἀποδέχομαι ἐμαυτοῦ ὡς τὸ ἓν δύο γέγονεν I cannot satisfy myself in thinking that . ., Pl. Phd. 96e, cf. Euthphr. 9e, R. 329e: abs., to accept a statement, to be satisfied, D. 18.277, Arist. Pol. 1263b16; ἀ. ἐάν . . Pl. R. 336d,525d: c. gen. rei, to be content with, τῆς προαιρέσεως Lib. Or. 24.2; τῶν εἰρημένων ib.59.9.

b. generally, approve, acknowledge, τὴν τῶν ἐφήβων ἀρετήν IG 2.481.60,al.

II. receive back, recover, Hdt. 4.33; opp. ἀποδιδόναι, Th. 5.26.

III. sustain, hold out against, Plb. 3.43.3, 5.51.1.

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ἀποδείκνῡμι

ἀποδείκνυμι (and ἀποδεικνύω X. Smp. 8.20, Plb. 7.14.3), Ion. ἀποδέκνῦμι GDI 5653b14 (Chios, v B. C.), fut. -δείξω, Ion. -δέξω:—

A. point away from other objects at one, and so:

3. produce, deliver accounts, τὸν λόγον Id. 7.119; ἀ. τετρακόσια τάλαντα τετελεσμένα ib.118.

4. publish a law, Lys. 30.11, X. HG 2.3.11.

II. show forth a person or thing as so and so, hence:

4. c. inf., ordain a thing or person to be, X. Oec. 7.30,Lac. 10.7.

5. dedicate, consecrate, θέατρον Plu. Luc. 29:—Pass., νεὼς ἀποδέδεικται Luc. Tox. 5.

2. Med. in act. sense, ἀποδεδειγμένοι ἦσαν ὅτι had declared that . ., X. An. 5.2.9.

C. Pass., v. supr. I.5, II.1, 2, 3: aor. ἀπεδείχθην is always Pass., as Hdt. 7.154; and so mostly pf. ἀποδέδειγμαι, 1.136, Antipho 2.4.10, X. An. 7.1.26; but the part. of the latter is sts. Act., v. supr. B. 2.