自然坐标系新析

New analysis of natural coordinates

用无穷小数法和增量极限法重新定义了空间光滑曲线在某点处的密切面、密切圆、切线、法线、副法线、曲率、曲率半径、曲率中心、曲率半径矢量以及自然坐标系 .

By using infinitesimal number method and increment limit method,we redefine the osculating place,the osculating circle, tangent,normal,binormal,curvature,the curvature radius,the curvature centre,the curvature radius vector and the natural coordinates of the spacial smooth curve at a certain point.The direction which a material particle moves along a spacial smooth curve is proved to be the tangent direction of the very spacial smooth curve.