Abstract
The objective of this study is to explain mathematically the effect of curvature of sagittal balancing condylar path on that of tooth path. Conclusions from the calculation are;
(1) Curvature of tooth path increases similar to that of sagittal balancing condylar path.
(2) The relation of curvature between balancing condylar path and tooth path is hardly affected, even if the direction of condyle movement and the inclination of sagittal incisal path altered.
(3) The amount of curvature of balancing molar path is generally equivalent to half value of sagittal condylar path. The amount of curvature of working molar path and incisal path are tenth value.