咸阳师范学院学报
鹹暘師範學院學報
함양사범학원학보
JOURNAL OF XIANYANG TEACHERS COLLEGE
2011年
6期
74-79
,共6页
勾%股%整勾股数%刘徽%《九章算术》
勾%股%整勾股數%劉徽%《九章算術》
구%고%정구고수%류휘%《구장산술》
integer Pythagorean number%Liuhui%Jiuzhangsuanshu
《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。
《週髀》是中國人言勾股數之濫觴，而《九章算術》則給齣瞭整勾股數公式。我國古代由勾絃併率和股率求勾、股、絃三率之方法，顯得簡潔和自然。劉徽所作論證精妙而嚴謹，具有鮮明的東方幾何特色，錶現齣我國古代數學的獨特風格和高度水平，其中所蘊含的數學思想對今日數學創造仍有著重要啟髮意義。
《주비》시중국인언구고수지람상，이《구장산술》칙급출료정구고수공식。아국고대유구현병솔화고솔구구、고、현삼솔지방법，현득간길화자연。류휘소작론증정묘이엄근，구유선명적동방궤하특색，표현출아국고대수학적독특풍격화고도수평，기중소온함적수학사상대금일수학창조잉유착중요계발의의。
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.
