Abstract: A cutting tool arrangement is disclosed for use in a preprogrammed lathe that comprises a rotary driven chuck holding a workpiece, a rotary turret carrying a plurality of tools and mounted for movement longitudinally of the axis of rotation of the chuck, and a cross slide mounted for movement transversely of the rotational axis of the chuck. The cutting tool arrangement comprises a support member for being mounted on the cross slide, a sliding member mounted on and for sliding movement transversely of the elongate member, said sliding member having mounted thereon at one end thereof a workpiece cutting tool, and a follower member for being mounted on the turret so that upon movement of the turret towards the chuck the follower abuts the sliding member to cause the cutting tool to be swept longitudinally of the workpiece.