圆的渐开变换及应用

Circle Involutes Transformation and Applications

通过圆的渐开线展开原理,把极坐标点变换为直角坐标点,建立了两种曲线间的渐开变换关系,得到了渐开变换的主要性质,给出了常见极坐标曲线渐开变换为直角坐标曲线的方法.

Utilizing the expansion theory of the circular involution curve to transform its polar coordinate points into corresponding Cartesian coordinate points,establishing the transformational relationship of the involution between the two curves,to determine the main properties of the involutes transformation,thereby giving a method to transform the involution curve from com- mon polar coordinate curves into Cartesian coordinate curves.