一类参数式李氏卵形曲线

A Kind of Parametric Li’s Oval Curve

摘要: 本文给出李氏卵形曲线和李氏卵圆及李氏心脏线的定义，提出一类参数式方程，证明其在一定条件下可为李氏卵形曲线、李氏卵圆及李氏心脏线。并获得了这类卵形曲线的面积、周长、质心坐标、转动惯量、旋转卵形体的体积等重要公式。

Abstract: In this paper, the definitions of Li’s oval curve, Li’s oval and Li’s cardioid are given; a kind of parametric equation is proposed, which is proved to be Li’s oval, Li’s Oval circle and Li’s cardioid under certain conditions. The important formulas of the area, circumference, centroid coordinate, moment of inertia and volume of rotating oval ball are calculated.