论周髀高超的证明技巧

On the Superb Proof Skill of "Zhoubi"

重新解读了中国古代天文历算名著《周髀》的本文,指出并纠正了其中的错讹之处,对多处文句(特别是一些关键性的文句)作出了全新的解释,论述了其中已载有勾股定理的证明.从实质上来看,这一证明并不局限于"勾三、股四、弦五"这一特殊情形,它具有普遍的实应性,而且显示出了非常高超的数学证明技巧.

This article re-explaines hinese ancient celestial almanac famous work ＂Zhoubi＂, points out and corrects mistakes, （specially some crucial clauses）, makes the brand-new explanation to many places, elaborates the Pythagorean theorem, from the essence, this proof certainly does not only limit to hte special situations ＂gou 3, gu 4, string 5＂, it has the universal adoption which shows the super proof skill.