curvature circle

The curvature circle of the space curve

某类空间曲线的曲率圆

This paper helps briefly derivate a general acceleration formula of curvilinear motion with an acceleration definition and the concepts of curvature circle , and obtains an important conclusion .

利用加速度的定义和曲率圆的概念较简单地推导出了一些曲线运动中加速度的公式，并得出一些重要结论。

Some equivalent definitions of curvature and circle of curvature

曲率与曲率圆的几个等价定义

Different from current text books , give and prove some equivalent definitions of curvature and circle of curvature : the circle of curvature can be defined as a special form of approximate curve in second order ;

与现行的教材不同，给出和证明了曲线的曲率和曲率圆的另外几个等价定义：曲率圆可以作为曲线的二阶近似的一种特殊形式；

Because contour line is complicated with different curvature on the circle , the surface roughness machined is uneven when machining at the same rotating speed .

由于其廓形曲线复杂，在圆周方向上各点的曲率互不相同，在匀转速加工的条件下，加工后的工件其表面粗糙度是不均匀的。

The paper explains three types of evolute of cone curve , and introduces curvature center on top of cone curve and drawing way with compasses and ruler of curvature circle .

给出了三类圆锥曲线的渐屈线方程，介绍了圆锥曲线顶点处的曲率中心和曲率圆的规尺作图方法。