圆外切五边形中有向面积的定值定理及其应用
On Some Fixed Value Theorems for Directed Areasin Circular Circumscribed Pentagons and Their Applications
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摘要: 本文给出圆外切五边形中有向面积的几个定值定理,并据此推出圆外切五边形中的一些共点性结论,其中包括射影几何中著名的Brianchon定理在圆外切五边形中的情形.Abstract: In this paper,some fixed value theorems for directed areas in circular circumscribed pentagons are obstained,thus some concurrent results,including the famous Brianchon theorem for circular circumscribed pentagons,can be deduced easily.