To prepare an essentially toroidal surface (7) on a workpiece (1) by machining, rotation of the workpiece around a first axis of rotation (3) and at the same time a rotation of the cutting tool (8) used for this machining around a second axis of rotation (10) are provided, wherein the second axis of rotation passes through the predetermined center (4) of the circular surface of the torus, which yields the surface (7) to be machined of the workpiece (7) during the rotation of the workpiece (1) around the first axis of rotation (3).
