摘要
设P是圆上任一点,P到圆内接(外切)正n边形各顶点的距离分别为d1,d2,…,dn,文中给出dmdm了当m为自然数时,∑ni为定值的充分必要条件以及∑ni为定值时的定值表达式。
<Abstrcat>Consider an arbitrary point P in a circle. Let d_1,d_2,…,d_n be respectively distances from P to each vertex of inscribed/circumscribed equilateral n-polygons in a circle. This paper gives a sufficient and necessary condition for ∑ni=1d^m_ibeing a constant .
出处
《浙江树人大学学报》
2005年第3期110-111,120,共3页
Journal of Zhejiang Shuren University
关键词
余弦函数
圆内接正多边形
圆外切正多边形
cosine function
inscribed equilateral n-polygons in a circle
circumscribed equilateral n-polygons in a circle
