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『直角三角形的两腰平方和等于弦的平方』一定理,西人认为是毕达哥拉斯(Pythagoras)所发见的;称为毕氏定理,不知在我国已早见于周髀算经。现在我们对于这个定理,自不能盲从外人所定的名称,而应该纠正过来,改冠我国发见人的姓氏。约二十年以前,这个定理已有人主张称为『商高定理』,近来赞同的人很多,知道的人更不少。目前程纶先生寄来一篇稿子,也是这样的主张。同时中国科学院转来章鸿钊先生的文章,主张称为『陈子定理』。因此,这个定理的发见,我们是归功于商高呢,还是归功于陈子呢,就成了一个问题。有人提议把这个问题发表出来,请大家讨论,再汇集意见,请专家李俨先生钱宝琮先生或他位先生作最后的决定。我们非常赞成,遂将程章两先生的原稿一字不改的登出来:
“The squareness of the two waists of a right-angled triangle equals the square of the chord”. The Westerners believe that it is what Pythagoras has found; it is called Bishop’s theorem. I do not know that it has already been seen in the Zhouyi Sutra in our country. Now we can not blindly follow the theorem of the outside world for this theorem, but we should correct it and change our country’s surname. About twenty years ago, this theorem has been advocated as the “Theorem of the Shang Gao”. There are many people who have recently approved it, and there are even more people who know it. At present, Mr. Cheng Lun sent a manuscript, which is also such a proposition. At the same time, the Chinese Academy of Sciences transferred the article of Mr. Zhang Hongjun, claiming to be called Chen Zi’s Theorem. Therefore, whether the reason for this theorem is attributed to Shang Gao or to Chen Zi has become a problem. Some people have proposed to publish this issue, ask everyone to discuss it, and then put together opinions, and ask the expert Mr. Li Lan, Mr. Qian Baojun or Mr. Other, to make the final decision. We are very much in favor of this. We have read the original manuscript of Mr. Cheng Zhangbi without hesitation: