Abstract: The cutting apparatus is used to cut a hole in a workpiece such as a pipe of relatively large thickness. The burner is mounted on a carriage which is reciprocated along a radially directed carrier which rotates about an axis perpendicular to the carrier. Reciprocation of the carriage is controlled as a function of the rotation of the carrier about the axis. In addition, a cam causes pivoting of the burner in accordance with the reciprocation of the carriage along the carrier. Operation of the apparatus is such that the tip of the burner is held at a constant distance from the surface of the workpiece. A motor is also provided for moving the burner longitudinally of its axis.