βουλαῖος · boulaios — LSJ
of the council, consiliarius
of the council, epith. of certain gods as having statues in the Council Chamber (Ἑστία βουλαία· ἡ ἐν τῇ βουλῇ ἱδρυμένη, Harp.), τὴν Ἑστίαν ἐπώμοσε τὴν β. Aeschin. 2.45; of Zeus and Athena, Antipho 6.45, cf. IG 3.272, SIG 1011.6 (Chalcedon), Corn. ND 9, Plu. An seni 2.789d; of Artemis, IG 2(2).916, al.; Themis, Plu. Praec. 2.802b; θεοὶ β., name of thirty stars, D.S. 2.30; of a man, θεῶν βουλαῖος ἀνάκτων, = imperatorum divorum consiliarius, IG 4.1475 (Epidaurus).
II
Subst. βουλαία, ἡ, = βουλεία, Milet. 7.71; but βουλαῖα· τὰ βεβουλευμένα, and βούλεον (sic)· βούλευμα, Hsch.