AJAX, in Grecian Antiquity, a furious kind of dance, intended to represent the madness of the hero of that name after his defeat by Ulysses, to whom the Greeks had given the preference in his contest for Achilles's arms. Lucian, in his treatise of Dancing, speaks of dancing the Ajax. — There was also an annual feast called Ajantia, Ajantea, consecrated to that prince, and observed with great solemnity in the island of Salamis, as well as in Attica; where, in memory of the valour of Ajax, a bier was exposed, set out with a complete set of armour.