本文证明了南开大学齿轮啮合理论研究小组和上海工业大学陈志新先生分别导出的两个诱导法曲率公式是统一的。前者是从传统的微分几何学出发,以相对微分作为主要工具,而后者则是从所谓工程微分几何学出发,用曲面的曲率圆作为主要工具。文中首先分别列出了两个公式的一般形式,通过分析、比较,并经符号代换及若干矢量运算从南开公式导出了陈志新公式。 This paper proves that the two induced normal curvature formulas derived by the research group of the gear meshing theory of Nankai University and Mr. Chen Zhixin from Shanghai University of Technology are unified. The former is from the traditional differential geometry, the relative differential as the main tool, while the latter is from the so-called engineering differential geometry, the curvature of the surface as the main tool. Firstly, the general forms of the two formulas are listed respectively. Through the analysis and comparison, Chen Zhixin formula is derived from Nankai formula by symbol substitution and some vector operations.