ὑποβαίνω · hypobainō — LSJ
stand under, τὸ ὑποβαινόμενον σκέλος the leg which is stood on, opp. τὸ ἔξω ἀποβαινόμενον (the lame leg which is pointed outwards to relieve it from the weight of the body), Hp. Art. 52.
serve as a base or foundation, ὑποβεβηκυῖαι ἀρχαί S.E. M. 3.94 (v.l. ἀπο-).
in pf., fall under the head of, [τῇ σαφηνεία] ὑποβέβηκε τὸ καθαρὸν καὶ εὐκρινές Hermog. Id. 1.1; ὑποβεβηκώς logically subordinate, low in the descent from the universal to the particular, ὑποβεβηκυῖαι ἰδέαι ibid., cf. Phld. Sign. 29, S.E. P. 1.39, Sor. 1.2, 2.1, 6, Aristid. Quint. 3.24; πάντα τὰ ὑποβεβηκότα προσεχῶς ὗλαι τῶν ἐπαναβεβηκότων (cf. ἐπαναβαίνω III 2) Porph. in Harm. p.197 W.; of numbers, lower in the scale, S.E. M. 9.306.
go under or down, Ph. Bel. 100.8 (s. v. l.); of the tide, ebb, Placit. 3.17.1.
step back, opp. προϊέναι, Gal. Parv.Pil. 2; ὑπέβη εἰς τοὐπίσω Hld. 2.5; of a gladiator, Artem. 2.32: in pf., stand further back, πήχεσι δυσὶν ὑποβεβηκότες Ascl. Tact. 5.1, cf. Ael. Tact. 14.4, Arr. Tact. 12.8.
metaph., τεσσεράκοντα πόδας ὑποβὰς τῆς ἑτέρης [πυραμίδος] τὠυτὸ μέγαθος going 40 feet below the like size of the other pyramid, i.e. building it 40 feet lower, Hdt. 2.127; ὑ. αὐχήματος descend from boasting, D.H. 8.48; τῆς ἀρχαίας εὐδαιμονίας ὑποβεβηκότες fallen from it, J. AJ 11.4.2; ὑποβαίνοντι πρὸς τὰ ἄλλα coming down to the details, Thphr. Metaph. 27; in Neoplatonism, of the descent (cf. ὑπόβασις I.2) from the universal to the particular, from unity to plurality, or from eternity to the worl
ὑποβάς a little below (in the book), Str. 1.2.40, 6.2.4; μικρὸν ὑποβάς Parth. 21.3; ὑποβαίνων ἐρεῖ Hermog. Inv. 4.10; v. ὑποκαταβαίνω 4.