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1·Understand Euclid's proof of the Pythagorean Theorem.

理解欧几里得对毕德哥拉斯定理的证明。

2·He is best known for the Pythagorean theorem, which bears his name.

他因以自己名字命名的毕达哥拉斯定理而最为知名。

3·And it turns out there's a variety of proofs of the Pythagorean Theorem.

其实有很多种证明勾股定理的方法。

4·The most complicated part, Devlin says, is our good old friend the Pythagorean theorem.

Devlin说，最复杂的部分便是我们熟知的毕达哥拉斯定理。

5·Trigonometry combines space and Numbers, and encompasses the well-known Pythagorean theorem.

三角结合空间和号码，以及包括著名的毕达哥拉斯定理。

6·The assignment was to make a construction that could be used in proving the pythagorean theorem.

布置的作业是作一个可以用于证明毕达哥拉斯定理的图。

7·But let's take something simple like the Pythagorean Theorem, which we all learned in high school.

不过我们还是说些简单的，比如勾股定理，我们中学里都学过的。

8·Context: Euclid's proof of the Pythagorean theorem made use of the previous proven theorem known as Proposition 41.

上下文：欧几里得关于毕德哥拉斯定理的证明利用了前已证明的命题41。

9·Also, we have proved the version of the CBS Inequality, the pythagorean theorem and parallelogram law in this case.

最后，证明了这种空间中的CBS不等式和平行四边形公式。

10·In all my years I have never once attended a cocktail party where the conversation turned to the Pythagorean theorem.

活了这些年，我还从来没有参加过一场讨论勾股定理的鸡尾酒会。