Lexical Definition

‎αὐξάνω‎ auxánō (owx-an'-o) to grow ^G:V
a prolonged form of a primary verb

grow (up), (give the) increase.

• to grow ("wax"), i.e. enlarge (literal or figurative, active or passive)

Abbott-Smith

αὐξάνω (and the earlier form αὔξω, Eph 2:21, Col 2:19; MM, s.v.), [in LXX chiefly for פּרה;]
1. trans., to make to grow: I Co 3:6, 7, II Co 9:10. Pass., to grow, increase, become greater: Mt 13:32, Mk 4:8, II Co 10:15, Col 1:6; τῇ ἐπιγνώσει τ. θεοῦ, Col 1:10; εἰς σωτηρίαν, I Pe 2:2.
2. In later Gk. (but nowhere in LXX), intrans., to grow, increase: of plants, Mt 6:28, Lk 12:27 13:19; of infants, Lk 1:80 2:40; of a multitude, Ac 7:17; of the increase of the Gospel: ὁ λόγος ηὔξανε, Ac 6:7 12:24 19:20; of Christ as a leader, Jo 3:30; of Christian character: εἰς Χριοτόν, Eph 4:15; εἰς ναόν, Eph 2:21; ἐν χάριτι, II Pe 3:18; τὴν αὔξησιν τ. θεσῦ, Col 2:19 (cf. συν, ὑπερ-αυξάνω).†

Abbott-Smith References

Liddell-Scott-Jones

αὐξάνω

[Refs 5th c.BC+]:—also αὔξω (poetry ἀέξω, which see) [Refs 6th c.BC+] (so Attic dialect Inscrr. and Ptolemaic Papyrus; both forms in NT) imperfect ηὔξανον only Ps.-[Refs 5th c.BC+]; ηὖξον[Refs 5th c.BC+]: future αὐξήσω[LXX+5th c.BC+]: aorist I ηὔξησα[Refs 6th c.BC+]: perfect ηὔξηκα[Refs 5th c.BC+]:—passive, αὐξάνομαι[Refs 5th c.BC+], imperfect ηὔξετο[Refs 8th c.BC+]: perfect ηὔξημαι[Refs 5th c.BC+], Ionic dialect αὔξ-[Refs 5th c.BC+]: pluperfect ηὔξητο[Refs]: aorist ηὐξήθην[Refs 5th c.BC+]: future αὐξηθήσομαι[Refs 5th c.BC+]:—increase, not in [Refs 8th c.BC+]; opposed to ἰσχναίνειν, [Refs 5th c.BC+]

__2 increase in power, strengthen, αὐ. τὰ Ἑλλήνων increase their power, [Refs 5th c.BC+]; exalt by one's deeds, glorify, πόλιν, πάτραν, [Refs 5th c.BC+]; exalt by praise, extol, ἐπαινεῖν καὶ αὔξειν τινά[Refs 5th c.BC+]; σέ γε.. καὶ τροφὸν καὶ ματέρ᾽ αὔξειν honour thee as.., [Refs 5th c.BC+]; of an orator, amplify, exaggerate, αὔξειν καὶ μειοῦν[Refs 4th c.BC+]
__3 with an adjective, τρέφειν καὶ αὐ. τινὰ μέγαν bring up to manhood, [Refs 5th c.BC+]
__4 αὔξειν ἔμπυρα to sacrifice, [Refs 5th c.BC+]; compare ἀέξω.
__5 in Logic, ={καταπυκνόω} (which see), [Refs 4th c.BC+]; but ὁ αὐξόμενος λόγος, name of a fallacy, [Refs 1st c.AD+]
__II passive, grow, increase, in size, number, strength, power, etc., [Refs 8th c.BC+]; αὐ. ἐς πλῆθος, ἐς ὕψος, [Refs 5th c.BC+]; of a child, grow up, [Refs].; ἐν γὰρ τοῖς πόνοισιν αὔξεται, of Theseus, [Refs 5th c.BC+]; ηὐξανόμην ἀκούων I grew taller as I heard, [Refs 5th c.BC+]; of the wind, rise, [Refs 5th c.BC+]
__II.2 with an adjective, αὔξεσθαι μέγας wax great, grow up, [Refs 5th c.BC+]
__III later, active intransitive, like passive, ἡ σελήνη αὐξάνει[NT+4th c.BC+]
__IV of Verbs, take the augment, both active and passive, [Refs 2nd c.AD+]; αὔξουσα (i.e. συλλαβή), ἡ, augment, [Refs]

_{LSJ Scripture Refs: LXX.Gen.17.6 ☩ Col.2.19}