The Collaborative International Dictionary of English v.0.48:
Bow hand \Bow" hand`\ 1. (Archery) The hand that holds the bow, i. e., the left hand. [1913 Webster] Surely he shoots wide on the bow hand. --Spenser. [1913 Webster] 2. (Mus.) The hand that draws the bow, i. e., the right hand. [1913 Webster]