摘要
利用第二类完全椭圆积分研究了极坐标系下玫瑰线在一个周期上的长度,及其参数为有理数时玫瑰线在一个整周期上的周长,并给出参数互为倒数时,玫瑰线周长相等的证明。
In this paper, we investigate the length of rose curve in polar coordinates in a period with complete elliptic integral of the second kind, and the perimeter of rose curve in a full period which parameter to be a rational number. When the relationship of two rose curves＇ parameters is reciprocal in value, we prove that they have the same perimeter in each full period.
出处
《思茅师范高等专科学校学报》
2011年第3期13-14,共2页
Journal of Simao Teachers' College
关键词
玫瑰线
第二类完全椭圆积分
项名达函数
恒等关系
rose curve
complete elliptic integral of the second kind
Xiang mingda function
identical relation
