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商高确实证明了勾股定理——兼论这里的“矩”不宜理解为长方形
引用本文:蔡越江,郭云婷. 商高确实证明了勾股定理——兼论这里的“矩”不宜理解为长方形[J]. 数学的实践与认识, 2011, 41(12)
作者姓名:蔡越江  郭云婷
作者单位:1. 北京工业大学,计算机学院,北京,100124
2. 中国铁道科学研究院,科学技术信息研究所,北京,100081
摘    要:严格遵守"矩"是古代中国的测量仪器,"矩"在古文字中的含义为"矩线",或为"磬折形",将"矩"理解为长方形(包含正方形)是不可取的.商高确实证明了一般勾股定理.古证应该是最原始、最简单的.

关 键 词:  商高  勾股定理

ShangGao Indeed Proved the Pythagorean Theorem-Also on HereMomentShould not be Interpreted as a Rectangular
CAI Yue-jiang,GUO Yun-ting. ShangGao Indeed Proved the Pythagorean Theorem-Also on HereMomentShould not be Interpreted as a Rectangular[J]. Mathematics in Practice and Theory, 2011, 41(12)
Authors:CAI Yue-jiang  GUO Yun-ting
Affiliation:CAI Yue-jiang~1,GUO Yun-ting~2 (1.Beijing University of Technology,Beijing 100124,China) (2.China Academy of Railway Science,Beijing 100081,China)
Abstract:This article strictly abide by the moment is a measuring instrument in ancient China,and moment,meaning the moment of line,or Qing line.It is not acceptable to think moment as rectangular(including square).I support that ShangGao gave the proof of Pythagorean theorem and this method is the most primitive and simple.
Keywords:moment  shanggao  pythagorean theorem  
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