喻德生. 椭圆外切2n+1边形中切顶线三角形有向面积的定值定理及其应用[J]. 南昌航空大学学报(自然科学版), 2003, 17(1): 10-12.
引用本文: 喻德生. 椭圆外切2n+1边形中切顶线三角形有向面积的定值定理及其应用[J]. 南昌航空大学学报(自然科学版), 2003, 17(1): 10-12.
YU De-sheng. On a fixed value theorem for directed areas of a kind of triangles in elliptic circumscribed polvgons[J]. Journal of nanchang hangkong university(Natural science edition), 2003, 17(1): 10-12.
Citation: YU De-sheng. On a fixed value theorem for directed areas of a kind of triangles in elliptic circumscribed polvgons[J]. Journal of nanchang hangkong university(Natural science edition), 2003, 17(1): 10-12.

椭圆外切2n+1边形中切顶线三角形有向面积的定值定理及其应用

On a fixed value theorem for directed areas of a kind of triangles in elliptic circumscribed polvgons

  • 摘要: 本文给出椭圆外切2n+1边形中一类切顶线三角形有向面积的一个定值定理及其若干推论,其中包括射影几何中著名的Brianchon定理在椭圆外切三角形中的情形.

     

    Abstract: In this paper, a fixed value theorem for directed areas of a kind of triangles in elliptic circumscribed polygons is obtained, thus some results, including the famous Brianchon theorem for elliptic circumscribed triangles, are deduced easily.

     

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