Abstract
When a gear tooth form is given, conjugated tooth form is usually calculated using equation of meshing. Solution of the equation is constituted into equation of a tooth form in the other gear coordinate system, and points represent conjugated tooth form can be obtained. However, these points lie randomly. So, in order to use them for points represent tooth flank, mathematical interpolation method with high accuracy is necessary. In the present paper, Lagrange Polynomials are proposed for interpolation of tooth form. As a result, it was found that maximum deviations were very small and lower than submicron order using Lagrange Polynomials.
