T HE MOVEMENTS OF THE mandible have been recognized for a long time to be multiple. For the successful construction of complete dentures, these mandibular movements must be registered, reproduced, and intelligently applied to obtain harmony of cusp inclines of the artificial posterior teeth and to obtain a free gliding, efficient, and nontraumatizing occlusion of the dentures in their different excursions. A number of years ago, Gysil presented his theory of the centers of rotation. The theory states that the center of rotation for mandibular movements is found by tracing perpendicular lines to the paths of movement. The point where the perpendicular lines meet is the center of rotation and the cusp inclines of the posterior teeth must be perpendicular to radii from this center. This theory was universally accepted and was used as a basis for educational methods, design of articulators, and the design of occlusal surfaces of artificial posterior teeth. I shall introduce a theory that will help to establish a new approach to these problems.