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. i. 35. § 5, vii. 2. § 3.)

2. A surname or epithet of the gods in general, characterizing them as the rulers of the world ; but the plural forms, Anakes, or Anaktes, or Anakes paides, were used to designate the Dioscuri. (Paus. ii. 22. § 7, x. 38. § 3; Cic. de Nat. Deor. iii. 31; Aelian. V. H. v. 4; Plut. Thes. 33.) In the second of the passages of Pausanias here referred to, in which he speaks of a temple of the Anakes paides at Amphissa, he states, that it was a doubtful point whether they were the Dioscuri, the Curetes, or the Cabeiri; and from this circumstance a connexion between Amphissa and Samothrace has been inferred. (Comp. Eustath. ad Hom. pp. 182, 1598.)