μνάομαι
ὁδὸς ἄνω κάτω μία καὶ ὡυτή → the road up and the road down is one and the same, the upward path and the downward path are the same
English (LSJ)
contr. μνῶμαι, used by Hom. sts. (only in Od.) in the contr. forms μνᾶται, μνώμεθα, μνῶνται, μνάσθω, μνᾶσθαι, μνώμενος; cf. impf.
A μνᾶτο Hes.Fr.96.1: sts. in these contr. forms lengthd. again, as 2sg. pres. μνάᾳ, inf. μνάασθαι [μνᾱ-], part. μνωόμενος; Ion. μνώμενος Hdt.1.96 (v.l. μνεώμενος), 205: 3pl. impf. μνώοντο, Hom. (v. infr.); imper. μνώεο A.R.1.896, al.; opt. μνώοιο Max.74; Ion. impf. μνάσκετο Od.20.290: only pres. and impf., exc. aor. μνήσατο (in signf. 11.1) Eup.413. I to be mindful of, c. gen., οὐ πολέμοιο ἐμνώοντο Il.2.686; μνώοντ' ὀλοοῖο φόβοιο 11.71; μνωόμενος προτέρης ἁρπακτύος Call.Ap.95: abs., μνωομένῳ when I remember him, Od.4.106, cf. 15.400; also, turn one's mind to a thing, φύγαδε μνώοντο ἕκαστος Il.16.697. II woo for one's bride, court (not in Il.), c. acc., μήτ' αὐτὸν κτείνειν μήτε μνάασθαι ἄκοιτιν, of Aegisthus, Od. 1.39; τὴν πάντες μνώοντο 11.287: with no acc. expressed, 16.77, 19.529. 2 after Hom., sue for, solicit a favour, office, etc., μνώμενος ἀρχήν Hdt.1.96; μνώμενον βασιληίην ib.205; φιλοτιμίαν μνώμενοι ἢ στάσιν Pi.Fr.210; εὔνοιαν ἑαυτῷ παρὰ τῶν στρατιωτῶν μ. Hdn.7.9.11; πᾶσαν ἑαυτῷ πόλιν πατρίδα μ. Hld.3.14.—Ep., Ion., and late Prose; once in Com. (v. supr.). (For signf. 1 cf. μιμνήσκω; in signf. 11 perh. from μνᾱ- = βνᾱ-, i. e. g[uglide]nā-, cf. γυνή.)