| 整勾股数和《九章算术》 |
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| 引用本文： | 徐传胜,范广辉.整勾股数和《九章算术》[J].咸阳师范学院学报,2011,26(6):74-79. |
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| 作者姓名： | 徐传胜 范广辉 |
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| 作者单位： | 1. 临沂大学理学院,山东临沂,276005
2. 曲阜师范大学数学科学学院,山东曲阜,273165 |
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| 摘 要： | 《周髀》是中国人言勾股数之滥觞,而《九章算术》则给出了整勾股数公式。我国古代由勾弦并率和股率求勾、股、弦三率之方法,显得简洁和自然。刘徽所作论证精妙而严谨,具有鲜明的东方几何特色,表现出我国古代数学的独特风格和高度水平,其中所蕴含的数学思想对今日数学创造仍有着重要启发意义。
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| 关 键 词： | 勾 股 整勾股数 刘徽 《九章算术》 |
Integer Pythagorean Number and Jiuzhangsuanshu |
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| XU Chuan-sheng,FAN Guang-hui.Integer Pythagorean Number and Jiuzhangsuanshu[J].Journal of Xianyang Normal University,2011,26(6):74-79. |
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| Authors: | XU Chuan-sheng FAN Guang-hui |
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| Institution: | XU Chuan-sheng1,FAN Guang-hui2(1.Science College of Linyi University,Linyi 276005,Shandong,China,2.College of Mathematical Science,Qufu Nomal University,Qufu 273165,China) |
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| Abstract: | The first Pythagorean number is appeared in Zhoubi in China. Then the first equation of integer Pythagorean number is apperented in Jiuzhangsuanshu. The method of finding three rotes of Pythagorean number in ancient China is very simple and natural. The Liuhui＇ s proving of this equation is very skillful and rigorous, appearing the distinct geometry characteristic and showing the unique style and high level of Chinese ancient math. The mathematical thought contained in it still play an important role in mathematic development now. |
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| Keywords: | integer Pythagorean number Liuhui Jiuzhangsuanshu |
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