Abstract: A machine for cutting an elongated layup of sheet material has a conveyor table for supporting the material and advancing it while it is being cut. A carriage assembly moves a cutting tool in cutting engagement with the material on the conveyor table in response to signals from a programmable controller. The conveyor table and carriage assembly are connected in one system so that the programmed movements of the cutter are relative to the movement of the conveyor thereby enabling the material to be cut in accordance with a predetermined program while simultaneously advanced by the conveyor table. Another cutting machine which has a rotary drum conveyor for supporting and advancing sheet material has a movable tool carriage coupled to the drum conveyor for movement relative to the conveyor by a ring gear and pinion.