一类椭变曲线

A Kind of Elliptic Transform Curves

摘要: 对圆按一定方向一定比例做压缩或拉伸变换可以得到椭圆。本文提出一类参数方程，通过绘图实验和分析，发现是一种对椭圆进行压拉变换，可得到卵圆和心形线，并获得了这类曲线的面积、质心坐标、转动惯量、旋转卵形体的体积等重要公式。

Abstract: The ellipse can also be regarded as a figure obtained by compressing or stretching a circle in a cer-tain direction in a certain proportion. In this paper, a kind of parametric equation is presented. Through drawing experiment and analysis, it is a transformation of compression and stretching of ellipse to obtain oval and cardioid. The important formulas of the area, centroid coordinate, mo-ment of inertia and volume of rotating oval ball are calculated.