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这就证明了勾股定理This proves Pythagorean Theorem.
勾股定理和四边形。Pythagorean theorem and quadrangle.
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理解欧几里得对毕德哥拉斯定理的证明。Understand Euclid's proof of the Pythagorean Theorem.
在一个勾股三角形中，可以三个边都是整数。In a Pythagorean triangle, and all three sides are whole numbers.
他因以自己名字命名的毕达哥拉斯定理而最为知名。He is best known for the Pythagorean theorem, which bears his name.
甚至相出了一个自己的方法来证明勾股定理。He even came up on his own with a way to prove the Pythagorean theory.
其实有很多种证明勾股定理的方法And it turns out there's a variety of proofs of the Pythagorean Theorem.
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它们是勾股定理、中国剩余定理、欧拉定理。They are Pythagorean proposition, Chinese residual theorem and Oula theorem.
Devlin说，最复杂的部分便是我们熟知的毕达哥拉斯定理。The most complicated part, Devlin says, is our good old friend the Pythagorean theorem.
最后列出了500以内的互素勾股数表。All irreducible Pythagorean triples less than 500 are calculated and listed in this paper.
我也曾努力的了解毕达哥拉斯学派的理论，他们认为数字主宰着万物的此消彼长。I have tried to apprehend the Pythagorean power by which number holds away above the flux.
我力图领悟毕达哥拉斯的才能，他的才能使数字支配着不断变动的事物。I have tried to apprehend the pythagorean power by which number holds sway above the flux.
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毕达哥拉斯学派还从和谐的比例的角度，研究了艺术问题。In addition, Pythagorean School explored art from the perspective of harmonious proportion.
有相同偶数的三维本原勾股数求解及算法。Have the same number of even three-dimensional primitive Pythagorean Solution and algorithm.
三角结合空间和号码，以及包括著名的毕达哥拉斯定理。Trigonometry combines space and numbers, and encompasses the well-known Pythagorean theorem.
我也曾经努力理解毕达哥拉斯学派的理论，他们认为数字主载着万物的此消彼长。And I have tried to apprehend the Pythagorean power by which number holds away above the flux.
而且我还试图掌握毕达格拍斯的魔力，让数字支配变动。And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.
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我试图领悟毕达哥拉斯所景仰的数字力量，它支配着此消彼长。And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.
也盼望晓得星星为何会收光，同时我借念了解毕达哥推斯的力气。I have wished to know why the stars shine, and I also want to understand the Pythagorean power.
布置的作业是作一个可以用于证明毕达哥拉斯定理的图。The assignment was to make a construction that could be used in proving the pythagorean theorem.