抛物多边形
Parabolic polygons
摘要：
主要定理两个抛物面有四个公共点。存在一个与所得到的抛物四边形的边相切的圆当且仅当该四边形的对角线正交。主要定理的证明是初等的和纯综合的。它基于以下引理。假设一条抛物线在A点和B点与一个圆相切。平面上的点P位于抛物线上当且仅当点P到直线AB的距离等于P到圆的切线的长度。我们给出了主要定理的一些漂亮的初等推论。
英文摘要：
Main Theorem. Two parabols have four common points. There exists a circle tangent to the sides of the obtained parabolic quadrilateral if and only if the diagonals of this quadrilateral are orthogonal. The proof of the Main Theorem is elementary and purely synthetic. It is based on the following lemma. Assume that a parabola is tangent to a circle at points A and B. A point P of the plane lyes on the parabola if and only if the distance from the point P to the line AB equals to the length of the tangent from P to the circle. We present some beautiful elementary corollaries of the Main Theorem.
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