Abstract: A wire saw has a wire wound a number of turns around a plurality of multigrooved rollers to form rows of the wire between the rollers which cut a workpiece. By reversibly rotating the multigrooved rollers, the wire is moved gradually from a wire feeding side to wire recovery side of the saw while undergoing a reciprocating motion between the multigrooved rollers. In addition, the multigrooved rollers are rotated around a fixed axis to swing the wire in a manner that provides contact with the workpiece which is quite close to point contact. Thus, a concentrated load is applied to the workpiece fully utilizing the permissible tension on the wire, and thus accelerating the cutting speed and raising the cutting accuracy.