摘要
本文给出椭圆类二次曲线外切n边形(n≥4)中有向面积的一些定值定理,并据此得出椭圆外切n边形中多达n(n-3)个三线共点的点,以及射影几何中著名的Brianchon定理等结论.
In this paper,some fixed value theorems for directed areas in elliptic circumscribed polygons are given.Using these theorems,we can obtain some concurrent results,including the famous Brianchon theorem for elliptic circumscribed hexagons and quadrilaterals easily.
出处
《南昌大学学报（工科版）》
CAS
2003年第3期94-97,共4页
Journal of Nanchang University(Engineering & Technology)
关键词
椭圆外切多边形
(有向)面积
定值
共点
共线
elliptic circumscribed polygon
(directed) area
fixed value
concurrent
collinear
