On irrationality of some distances between points on a circle

被引：0

作者：

Vassilev-Missana, Mladen ^{[1
]}

机构：

[1] 5 Victor Hugo Str,Ap 3, Sofia 1124, Bulgaria

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2016年 / 22卷 / 02期

关键词：

Distance; Irrational number; Circle;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let n > 3 be arbitrary integer. In the present paper it is shown that if K is an arbitrary circle and M-i; i = 1; : : :; n; are points on K; dividing K into n equal arcs, then for each point M on K; different from the mentioned above, at least inverted left perpendicular n/3 inverted right perpendicular c of the distances vertical bar MMi vertical bar are irrational numbers.

引用

页码：4 / 9

页数：6