Abstract: In one form, the disclosure describes a lathe apparatus and method for manufacturing a product with a non-axisymmetric shape from a workpiece, such as a toric contact lens, comprises a spindle for rotating the workpiece about an axis of rotation, a cutting tool, a two-axis bed for supporting the cutting tool and for moving the cutting tool along a predetermined path adjacent the workpiece as the spindle rotates the workpiece, and a mechanism for oscillating the cutting tool along an oscillation axis as the two-axis bed moves the cutting tool along the predetermined path, wherein the oscillation axis is oriented at a non-zero angle with respect to the axis of rotation. Preferably, the non-zero angle is about 45.degree.. In a second form, a lathe apparatus comprises a rotary bed for arcuately moving a cutting tool adjacent a workpiece and a mechanism for translationally reciprocating the cutting tool as the cutting tool is arcuately moved adjacent the workpiece.