| 关于玫瑰线周长的一个恒等关系 |
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| 引用本文： | 熊作朝.关于玫瑰线周长的一个恒等关系[J].思茅师范高等专科学校学报,2011(3):13-14. |
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| 作者姓名： | 熊作朝 |
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| 作者单位： | 思茅师范高等专科学校计算机科学系,云南普洱,665000 |
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| 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。
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| 关 键 词： | 玫瑰线 第二类完全椭圆积分 项名达函数 恒等关系 |
An Identical Relation about The Perimeter of Rose Curve |
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| XIONG Zuo-zhao.An Identical Relation about The Perimeter of Rose Curve[J].Journal of Simao Teachers' College,2011(3):13-14. |
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| Authors: | XIONG Zuo-zhao |
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| Institution: | XIONG Zuo-zhao (Department of Computer Science,Simao Teachers'College,Pu'er,665000) |
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| Abstract: | 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. |
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| Keywords: | rose curve complete elliptic integral of the second kind Xiang mingda function identical relation |
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