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The objective of this study is to explain mathematically the effect of curvature of horizontal balancing condylar path on that of tooth path.Conclusions from the calculation are;1. Curvature of tooth path increases similar to that of horizontal balancing condylar path.2. The relation of curvature between horizontal balancing condylar path and tooth path is hardly affected, even if the direction of balancing condyle path and the inclination of sagittal incisal path altered.3. But, the direction of working condylar path, especially on posterior-external-upper laterotrusion, affects remarkably the relation of curvature of horizontal balancing condylar path and tooth path.4. Curvature of horizontal balancing condylar path affects greater that of tooth path than that of sagittal condylar path.

Influence of the elements of mandibular movement on tooth path. Part 5. Curvature of horizontal condylar path of balancing side.