Crotched (?), a.(Billiards) Lying within a crotch; — said of the object balls in the three-ball carom game whenever the centers of both lie within a 4½-inch square at a corner of the table, in which case but three counts are allowed unless one or both balls be forced out of the crotch.
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Webster's Dictionary 1913
Webster's Revised Unabridged Dictionary, C. & G. Merriam Co., 1913.