A cup for a hip replacement is disposed in a first relationship in an operating room with an object providing a sighting for the cup rotation in a first plane. The cup is thereafter rotated in the first plane through a first angle (e.g., 20°-30°). The cup is then disposed in a planar relationship in the operating room with another object providing a sighting for the cup rotation in a second plane transverse (e.g. perpendicular) to the first plane. The cup is subsequently rotated through a second angle (e.g. 40°-45°) in the second plane. In this way, the cup is properly positioned in the acetabulum socket. The length of the leg receiving the hip rotation is then adjusted so that the leg length matches the length of the patient's other leg. This adjustment is provided without affecting the offset position of the center of the ball on the femur.