This section is from the book "Applied Anatomy: The Construction Of The Human Body", by Gwilym G. Davis. Also available from Amazon: Applied anatomy: The construction of the human body.
In pubic luxations first slightly abduct the thigh and rotate the shaft of the femur inward so as to transform the pubic to a thyroid luxation. For thyroid luxations flex the knee to a right angle, and then flex the thigh on the abdomen to a right angle or even more and slightly abduct (Allis). Then with one hand grasp the ankle and with the other hand or arm in the flexure of the knee lift up and slightly out, thus guiding the head toward the socket, rotating a little if necessary (Fig. 519).
Flex the leg on the thigh and the thigh on the abdomen in a position of adduction. Then sweep the knee in a small circle with external rotation, when the knee reaches the point of starting bring the limb down straight. Allis cautions against describing too large a circle with the knee on account of the liability of catching up the sciatic nerve.
Fig. 519. - Reduction of an anterior (thyroid) luxation by the direct method. The pelvis is to be held firmly to the floor. The thigh is to be flexed, abducted (Allis), and the head lifted upward and outward as shown in the small cut.
Fig. 520. - Reduction of a posterior (high) dorsal luxation by the indirect (lever) method of circumduction. The thigh is flexed and adducted; the knee describes the circle shown by the dotted line while the head pursues the course shown in the smaller cut to the right.
While rotating the thigh a lifting force may be added, as in the direct method. This method is practically circumduction (Fig. 520).
Slightly flex the thigh, about to half a right angle, and rotate outward. Slightly abduct or adduct if necessary to relax the capsule before rotating outward.