摘要:Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the
国外为什么喜欢用科学家的名字来命名定理?比如牛顿定理、欧几里得定理、欧拉定理,还有毕达哥拉斯定理。
第一次听到毕达哥拉斯定理真的是一头雾水,我明明TOP10 985高校别业,但为什么从没听过毕达哥拉斯定理?
1 英文原意
勾股定理 Pythagoras' Theorem
2 英文解释
In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2. Although the theorem has long been associated with Greek mathematician-philosopher Pythagoras (c. 570–500/490 BCE), it is actually far older. Four Babylonian tablets from circa 1900–1600 BCE indicate some knowledge of the theorem, with a very accurate calculation of the square root of 2 (the length of the hypotenuse of a right triangle with the length of both legs equal to 1) and lists of special integers known as Pythagorean triples that satisfy it (e.g., 3, 4, and 5; 32 + 42 = 52, 9 + 16 = 25). The theorem is mentioned in the Baudhayana Sulba-sutra of India, which was written between 800 and 400 BCE. Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid’s Elements.
勾股定理,一个著名的几何定理,即直角三角形两直角边的平方和等于斜边(与直角相对的一侧)上的平方,或者用熟悉的代数符号来说,a2 + b2 = c2。尽管该定理长期以来一直与希腊数学家兼哲学家毕达哥拉斯(约公元前 570-500/490 年)联系在一起,但实际上它要古老得多。大约公元前 1900 年至公元前 1600 年的四块巴比伦泥板表明了对该定理的一些了解,其中非常准确地计算了 2 的平方根(短边长度为1直角三角形的斜边长度为✓2)和满足它的特殊整数列表(称为毕达哥拉斯三元组)(例如 3、4 和 5;32 + 42 = 52,9 + 16 = 25)。该定理在公元前 800 年至公元前 400 年间写成的印度 Baudhayana Sulba-sutra 中被提及。尽管如此,该定理还是被归功于毕达哥拉斯。它也是欧几里得《元素》第一卷中的第 47 号命题。
3 中文解释
勾股定理,是一个基本的几何定理,指直角三角形的两条直角边的平方和等于斜边的平方。中国古代称直角三角形为勾股形,并且直角边中较小者为勾,另一长直角边为股,斜边为弦,所以称这个定理为勾股定理,也有人称商高定理。
4 感谢体会
勾股定理在国外叫 Pythagoras' Theorem,本意是毕达哥拉斯定理,毕达哥拉斯是古希腊思想家、哲学家、数学家、科学家、占星师,是影响西方乃至世界的人物。
来源:阿饱神技能