ἑλλην-ίζω · hellēn-izō — LSJ
speak Greek, speak, write pure, correct Greek
speak Greek, Ἕλλην μέν ἐστι καὶ ἑλληνίζει Pl. Men. 82b, cf. Chrm. 159a, Prt. 328a, etc.; ἑ. τῇ φωνῇ, τὴν φωνήν, Aeschin. 3.172, Charito l.c.; esp. speak or write pure or correct Greek, Arist. Rh. 1407a19, D.H. Pomp. 2.5; ἄκρως ἑ. S.E. M. 1.186; opp. βαρβαρίζω, ib. 246.
b would, be Greek
οὐδὲ γὰρ ἂν ἑλληνίζοι οὕτως τὸ ἐρώτημα λεχθέν would not be Greek, Arist. SE 182a34.
c speak common Greek
speak common Greek, opp. the Attic dialect, σὺ μὲν ἀττικίζεις . . οἱ δʼ Ἕλληνες ἑλληνίζομεν Posidipp. 28.
II make Greek, Hellenize, translate into Greek, acquire the Greek language, have assumed an Hellenic form
trans., make Greek, Hellenize, τὴν βάρβαρον Lib. Or. 11.103; translate into Greek, D.C. l.c.:—Pass., ἑλληνισθῆναι τὴν γλῶσσαν ἀπό τινος acquire the Greek language from . ., Th. l.c.; τὰ ὀνόματα . . ἡλλήνισται have assumed an Hellenic form, J. AJ 1.6.1.