参数化的渐伸线及应用

通过圆的渐伸线展开原理，把极坐标点参数化，变换为直角坐标点，把极坐标曲线直接变换为正的或负的直角坐标曲线，这种变换简单直观易理解，能通过变换曲线对原曲线进行全面的了解，建立了两种曲线间的渐伸变换关系，得到了渐伸变换的主要性质。

Parametric Involute Transformation and Its Application

This paper, utilizing the expansion theory of the circular involution curve to parameterize polar coordinate points, to transform them into corresponding Cartesian coordinate points, to transform the polar coordinate curves for the positive or negative Cartesian coor- dinate curve. This transformation is simple and easy to understand, enabling us to comprehensively understand the original curve through transformation, to establish involute relationship between the two curves, and to get the main features of involute transform.