平面曲线与空间曲线曲率及其算法  

The Curvatures of Plane Curve and Space Curve and The Methods of Their Calculation

作　　者：褚宝增[1] 齐良平[1] 

机构地区：[1]中国地质大学(北京)数理学院,北京100083

出　　处：《德州学院学报》2013年第2期18-21,共4页Journal of Dezhou University

摘　　要：在计算平面曲线曲率时,借助关系式tanα=dy/dx,可以推出平面曲线曲率的表达式,但如果推广到空间曲线,并不存在这样的关系式,为此,本文采用一般的方法推导出平面曲线曲率的表达式,并推广到空间曲线,进而定义和推导了其他类型的曲率.When calculating the curvature of a plane curve, with the help of the equation： tanα=dy/dx the formula of a plane curvets curvature can be calculated easily, but if expand it to a space curve, such a equation is not existed, thus using a general method to solve the problem above--mentioned, some other types of curvatures are also discussed in this paper.

关 键 词：曲率 方向曲率 对点曲率 对点方向曲率 

分 类 号：O175[理学—数学]