Basing on the premise that the capability of the transmission and the technique are synthetically considered , three new kinds of gear pairs is given , that is , loxodromic normal circular - arc spiral bevel gears , geodetic normal circular - arc spiral bevel gear , and hyperbolic normal circular - arc gear 在综合考虑传动性与工艺性等要求的前提下,提出斜航式与测地式法向圆弧螺旋锥齿轮传动、双曲型法向圆弧齿轮传动等两类三种齿轮副的构思。