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。
Context: Euclid's proof of the Pythagorean theorem made use of the previous proven theorem known as Proposition 41.
理解欧几里得对毕德哥拉斯定理的证明。
我们都学习过，欧几里得几何中对勾股定理的证明方法，从繁杂的欧氏几何的公理开始，邦，邦邦，邦邦，邦邦。
And we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms in Euclidean geometry, ba, ba-ba, ba-ba, ba-ba, ba bum.
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