A process for hobble lathing, and preferred process applications, for the cutting of workpieces with non-circular or discontinuous contours on programmable lathes. The use and combination of a special program e.g. of thread cycles and hobble values for the diameter and/or the longitudinal axis or the pitch, the angle of the spindle, in option of a reciprocal-step technique and interleaved machining sequences opens up virtually infinite possibilities. The preferred applications of the process allow special threads to be cut on screw-in bodies, e.g. screw-in artificial hip joint sockets and bone screws for example with neutral or virtually any angle of pitch or relief of the thread blade as well as e.g. internal and external contours on workpieces for circular wedge connections. A particularly beneficial hip joint socket is presented comprising so-called screw or threaded surfaces.