Abstract: An edging system for machining the opposed rough edges of a workpiece into a parallelogram having the optimum angle of cut has an upstream sensing station to detect the maximum available width in order to remove the least amount of material. At the edging station a pair of laterally adjustable opposed cutter heads are mounted on a rotatable frame so as to have both the lateral distance between cutter heads and the angle the cutter heads make with respect to the top and bottom surfaces of the workpieces variable. Suitable conveying surfaces transport the workpiece into, through, and away from the edging station.