Abstract: A method is disclosed for finishing a roughly shaped elliptical cylinder bore to an accurate final shape of predetermined major and minor axis. A circular cutter body with an effective diameter equal to the desired major axis. Then, a tilt angle is determined at which, when the circle of the cutter body is tipped away from the bore axis with the bore axis running through the center of the circle, a projection of the circle into a plane perpendicular to the bore axis will yield the desired minor axis. Then, the cutter body is powered about a secondary axis, at the tilt angle, relative to a bore primary axis and advanced linearly into the bore along the bore axis.