2. A surname of Athena, under which she was worshipped at Athens. Her statue, together with those of Ares, Aphrodite, and Enyo, stood in the temple of Ares at Athens. (Paus. 1.8.4.) Her worship under this name was instituted by Orestes after he had been acquitted by the Areiopagus of the murder of his mother. (1.28.5.) It was Athena Areia who gave her casting vote in cases where the Areiopagites were equally divided. (Aeschyl. Eum. 753.) From these circumstances, it has been inferred, that the name Areia ought not to be derived from Ares, but from ἀρά, a prayer, or from ἀρέω or ἀρέσκω, to propitiate or atone for.
A Dictionary of Greek and Roman biography and mythology
Smith, William
A Dictionary of Greek and Roman biography and mythology. William Smith, LLD, ed. 1890