隐函数形式曲线的曲率和挠率的计算

The Calculation of the Curvature and the Torsion of the Curve of Implicit Function Form

利用隐函数定理将平面曲线和空间曲线的一般方程化为微分几何中研究曲线的一元向量函数的形式,并使用微分几何中研究曲线的方法,将此类曲线的曲率和挠率的计算转化为实函数的偏微商的计算,从而实现对一般方程形式的曲线研究.

Implicit function theorem is applied to change the general equation of the plane curve and space curve into the form of unitary vector function in studying the curve of differential geometry,and this method is used to convert the calculation of curvature and torsion into the calculation of partial derivative of real function,and thereby,to conduct the curve research of the general equation.