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The theory of generating-line method has been discussed in this study. It is a new theory of manufacturing
spiral bevel gears of which tooth surfaces are formed by exact spherical involutes. The tooth surface of spiral bevel gears
is obtained by the pure-rolling motion between the base cone and the great circular plane of the fundamental sphere.
Based on the cutting motions the equations to describe tooth surfaces have been derived by using theory of gearing, and
the equation of meshing of spiral bevel gears with spherical involute tooth surface is obtained in the text. This study can
provide some fundamentals for manufacturing and contact analysis of spherical involute spiral bevel gears.