| Heron三角形与Diuphantine方程 |
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| 作者姓名： | YANG Shi-chun MA Chang-wei |
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| 作者单位： | Department of Mathematics, Aba Teacher＇s College, Wenehuan 623000, China |
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| 基金项目： | Foundation item: Supported by the Natural Science Foundation of China(10271104)
Supported by the Natural Science Foundation of Education Department of Sichuan Province(2004B25) |
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| 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.
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| 关 键 词： | Heron三角形 丢番图方程 同次多项式 正整数解 中值 |
Heron Triangle and Diophantine Equation |
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| YANG Shi-chun,MA Chang-wei.Heron Triangle and Diophantine Equation[J].Chinese Quarterly Journal of Mathematics,2005,20(3):242-246. |
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| Authors: | YANG Shi-chun MA Chang- wei |
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| Abstract: | 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. |
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| Keywords: | quantic Diophantine equation positive integer solution Heron triangle median |
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