(Ἄναξ).
1. A giant, son of Uranus and Gaea, and father of Asterius. The legends of Miletus, which for two generations bore the name of Anactoria, described Anax as king of Anactoria ; but in the reign of his son the town and territory were conquered by the Cretan Miletus, who changed the name Anactoria into Miletus. (Paus. 1.35.5, 7.2.3.)