关于切顶线三角形有向面积的定值定理及其应用
On some fixed value theorems for directed areas in a triangle
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摘要: 本文给出切顶线三角形(有向)面积的一些定值定理,并据此推出切顶线共点(其中包括射影几何中著名的Brianchon定理在圆外切三角形中的情形)的结论.Abstract: In this paper, some fixed value theorems for direct areas in a triangle are obtained, thus some concurrent results, including the famous Brianchon theorem for circular circumscribed triangles are deduced.