Heron Triangle and Diophantine Equation

作     者：YANG Shi-chun MA Chang- wei YANG Shi-chun;MA Chang-wei

作者机构：Department of Mathematics Aba Teacher＇s College Wenehuan 623000 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2005年第20卷第3期

页      面：242-246页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Foundation item: Supported by the Natural Science Foundation of China(10271104)Supported by the Natural Science Foundation of Education Department of Sichuan Province(2004B25) 

主　　题：quantic Diophantine equation positive integer solution Heron triangle median 

摘      要：In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median lengths are all positive integer are discussed here.