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渐开线函数及其反函数在渐开线齿轮、齿轮刀具的设计计算中被广泛使用，然而已知渐开线函数值，求渐开线压力角的难度很大，因为θ＝tgx－x是一个超越方程，无法求得精确解，只能利用数值分析方法求得数值解；而如何在满足误差要求的情况下尽快求出压力角是广大科技人员所追求
The involute function and its inverse function are widely used in the design and calculation of involute gears and gear tools. However, it is very difficult to know the involute function value and obtain the involute pressure angle because θ = tgx-x Is a transcendental equation, unable to find the exact solution, can only use numerical analysis method to obtain numerical solution; and how to find the pressure angle as soon as possible to meet the error requirements is the pursuit of the majority of scientific and technological personnel