2011Journal of Xianyang Normal UniversityRequires access

Integer Pythagorean Number and Jiuzhangsuanshu

Fan Guang-hui

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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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What this paper is about

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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Available 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.

Key concepts: Pythagorean theorem, Pythagorean triple, Integer (computer science), Simple (philosophy), Mathematics, Natural number, Style (visual arts), Combinatorics

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