The Collaborative International Dictionary of English v.0.48:

Belomancy \Bel"o*man`cy\, n. [Gr. ?; ? arrow + ? a diviner: cf.
   F. b['e]lomancie.]
   A kind of divination anciently practiced by means of marked
   arrows drawn at random from a bag or quiver, the marks on the
   arrows drawn being supposed to foreshow the future. --Encyc.
   Brit.
   [1913 Webster]