A GEOMETRIC INEQUALITY WITH APPLICATIONS

被引：1
|
作者：
Liu, Jian [1 ]
机构：
[1] East China Jiaotong Univ, Nanchang City 330013, Jiangxi Provinc, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 03期
关键词：
Triangle; point; the Sondat fundamental triangle inequality; Euler formula;
D O I：
10.7153/jmi-10-51
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new geometric inequality which involves an arbitrary point in the plane of a triangle. A simpler proof of a known inequality with one parameter is Obtained by using our result. We also derive the famous Sondat fundamental triangle inequality from it.
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页码：641 / 648
页数：8
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