An artificial proof of a geometric inequality in a triangle

被引：2

作者：

Shi, Shi-Chang ^{[1
]}

Wu, Yu-Dong ^{[2
]}

机构：

[1] Zhejiang Teaching & Res Inst, Dept Educ, Hangzhou 310012, Zhejiang, Peoples R China

[2] Zhejiang Xinchang High Sch, Dept Math, Shaoxing 312500, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

geometric inequality; triangle; medians; inradius; circumradius;

D O I：

10.1186/1029-242X-2013-329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors give an artificial proof of a geometric inequality relating to the medians and the exradius in a triangle by making use of certain analytical techniques for systems of nonlinear algebraic equations.

引用

页数：13

共 8 条

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[5] Yang L, 1996, NONLINEAR ALGEBRAIC, P23
[6] Yang L., 2008, Automated Proving and Discovering on Inequalities
[7] Yang Lu, 2003, Chinese Journal of Computers, V26, P769
[8] Recent advances in automated theorem proving on inequalities
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