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On a Fixed Value Theorem for Directed Areas in Conic Circumscribed Polygons and Applications 被引量:2

On a Fixed Value Theorem for Directed Areas in Conic Circumscribed Polygons and Applications
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摘要 Using polar equations for conic sections, we research conic circumscribed n-sided polygons(n ≥ 4) deeply on the basis of papers[1-3]. We obtain a general fixed value theorem for directed areas of some triangles in conic circumscribed n-sided polygons and derive as many as n(n - 3) concurrent points of three lines and some other collinear, equiareal results in conic circumscribed n-sided polygons(n ≥ 4). So the results of papers[1-3] are unified.
作者 YU De-sheng
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期485-490,共6页 数学季刊(英文版)
基金 Foundation item: Supported by Natural Science Foundation of China(60675022)
关键词 conic circumscribed polygon (directed) area fixed value CONCURRENT COLLINEAR 外切多边形 定值定理 二次曲线 圆锥曲线 面积 应用 信噪比 三角形
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