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勾股定理是几何学中最基本最重要的定理之一,被誉为“几何的基石”．早在三千多年前商高与周公的一段对话中就提到了“勾三,股四,弦五”,所以我国曾一度把它叫做“商高定理”或“勾股弦定理”．古巴比伦人在三千多年前也了解到这条定理．二千多年前,由于希腊的毕达哥拉斯学派首先证明了这条定理,希腊人把它叫做毕达哥拉斯定理,也叫做“百牛定理”．勾股定理的证明方法更是不胜枚举,据统计有400多种,仅由卢米斯1940年编写的《毕达哥拉斯定理》一书就搜集了370种证明方法．
The Pythagorean theorem is one of the most basic and important theorems in geometry and is praised as “the cornerstone of geometry.” As early as more than 3,000 years ago, during a dialogue between Shanggao and Zhou Gong, “Three hooks, four shares and five strings” were mentioned. Therefore, our country once referred to it as “the theorem of Shang Gao” or the “Pythagorean theorem”. The ancient Babylonians learned this theorem more than three thousand years ago. Two thousand years ago, the Greek Pythagorean school first proved this theorem, and the Greeks called it the Pythagorean Theorem, also known as the “Bull’s Theorem.” The method of proving the Pythagorean Theorem is far behind. According to statistics, there are more than 400 kinds of evidences. Only 370 kinds of proof methods have been collected by Pythagorean Theorem written by Lummes in 1940.