论文标题
平面曲线的中心对称集的几何形状
The Geometry of the Centre Symmetry Set of a Planar Curve
论文作者
论文摘要
平面曲线$ m $的中心对称集是$ m $的仿射和弦的信封，即与平行切线线上的$ m $上的线连接点。在本文中，我们研究了该集合的全球几何特性，包括奇异性数量和渐近线数量。
The Centre Symmetry Set of a planar curve $M$ is the envelope of affine chords of $M$, i.e. the lines joining points on $M$ with parallel tangent lines. In this paper we study global geometrical properties of this set including the number of singularities and the number of asymptotes.
