以下为句子列表：
英文: Context: Euclid's proof of the Pythagorean Theorem made use of the previous proven theorem known as Proposition 41.
中文: 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。
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英文: Context: The Pythagorean Theorem was proved using deductive reasoning.
中文: 上下文：毕德哥拉斯定理被人们运用演绎推理加以了证明。
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英文: Have students research different proofs of the Pythagorean Theorem and create a poster demonstrating one such proof using print and Web resources.
中文: 让学生利用打印文字材料和互联网上资料研究毕德哥拉斯定理的不同证明，并选其中一种证明方法制作一幅海报。
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英文: We would simply require them to recognize, appreciate, and memorize the great pieces of language of the past - literary equivalents of the Pythagorean Theorem and the Law of Cosines.
中文: 我们仅仅需要他们认识、欣赏、记住历史上伟大的语言篇章——就好比是数学中毕达哥拉斯定理和余弦定理。
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