αὐξάνω

A. ηὖξον Hdt. 9.31, etc.: fut. αὐξήσω Th. 6.40, etc. (αὐξανῶ only in LXX Ge. 17.6, al.): aor. I ηὔξησα Sol. 11, X. HG 7.1.24: pf. ηὔξηκα Pl. Ti. 90b, X. Hier. 2.15:—Pass., αὐξάνομαι Hdt. 2.14, E. Med. 918, Ar. Av. 1065, Isoc. 4.104, Pl. Phd. 96c, D. 18.161; αὔξομαι Emp. 26.2, Ar. Ach. 227, Pl. R. 328d, etc., impf. ηὔξετο Hes. Th. 493, Hdt. 3.39 (v.l. αὔξετο): pf. ηὔξημαι E. IA 1248, Pl. R. 371e, Ion. αὔξ‐ Hdt. 1.58: plpf. ηὔξητο Id. 5.78: aor. ηὐξήθην Th. 1.89, Pl. Prt. 327c: fut. αὐξηθήσομαι D. 56.48; αὐξήσομαι X. Cyr. 6.1.12, Pl. R. 497a:—increase, not in Hom. (only ἀέξω), Pi. Fr. 153, etc.; ὕβριν αὐ. Hdt. 7.16.ά; ὄλβον A. Pers. 756; opp. ἰσχναίνειν, Pl. Plt. 293b; εἰς ἄπειρον αὐ. τι Id. Lg. 910b; ἐπὶ τὸ ἔσχατον Id. R. 573a; ἐπὶ πλεῖον ηὖξον τὴν μαγειρικὴν τέχνην Athenio 1.16, etc.

2. increase in power, strengthen, αὐ. τὰ Ἑλλήνων increase their power, Hdt. 8.30; νόμοισιν αὐ. πόλιν S. Ant. 191, cf. X. Mem. 3.7.2; exalt by one's deeds, glorify, πόλιν, πάτραν, Pi. O. 5.4, P. 8.38, cf. IG 22.834, etc.; exalt by praise, extol, ἐπαινεῖν καὶ αὔξειν τινά Pl. Ly. 206a; σέ γε . . καὶ τροφὸν καὶ ματέρ’ αὔξειν honour thee as . . , S. OT 1092 (lyr.); of an orator, amplify, exaggerate, αὔξειν καὶ μειοῦν Arist. Rh. 1403a17.

3. with an Adj., τρέφειν καὶ αὐ. τινὰ μέγαν bring up to manhood, Pl. R. 565c; μείζω πόλιν αὐ. E. IA 572 (lyr.); τὸν ὄγκον . . ἄπειρον αὐξήσει Pl. R. 591d.

4. αὔξειν ἔμπυρα to sacrifice, Pi. I. 4(3).62; cf. ἀέξω.

5. in Logic, = καταπυκνόω (q. v.), Arist. APo. 79a30, al.; but ὁ αὐξόμενος λόγος, name of a fallacy, Plu. Thes. 23, 2.559b.

II. Pass., grow, increase, in size, number, strength, power, etc., Hes. Th. 493, Pi. P. 8.93, D. 61.5, etc.; αὐ. ἐς πλῆθος, ἐς ὕψος, Hdt. 1.58, 2.14; of a child, grow up, Id. 5.92.έ; ἐν γὰρ τοῖς πόνοισιν αὔξεται, of Theseus, E. Supp. 323; ηὐξανόμην ἀκούων I grew taller as I heard, Ar. V. 638; of the wind, rise, Hdt. 7.188; ηὔξηται ἡ πόλις ὥστ’ εἶναι τελέα Pl. R. 371e.

2. with an Adj., αὔξεσθαι μέγας wax great, grow up, E. Ba. 183; αὐ. μείζων A. Supp. 338, Pl. Lg. 681a; αὐ. ἐλλόγιμος Id. Prt. 327c; μέγας ἐκ μικροῦ . . ηὔξηται D. 9.21.

III. later, Act. intr., like Pass., ἡ σελήνη αὐξάνει Arist. APo. 78b6, cf. HA 620a21, Aristeas 208, D.S. 4.64, Ep.Col. 2.19, D. Chr.4.128, D.C. 48.52, etc.

IV. of Verbs, take the augment, both Act. and Pass., Hdn. Epim. 280; αὔξουσα (sc. συλλαβή), ἡ, augment, ibid. (Cf. ἀέξω.)