Pythagorean

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. He even came up on his own with a way to prove the Pythagorean theory.: 甚至相出了一个自己的方法来证明勾股定理。

4. 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。

5. They are Pythagorean proposition, Chinese residual theorem and Oula theorem.: 它们是勾股定理、中国剩余定理、欧拉定理。

6. 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。

7. The method of deducing Pythagorean Triples (irreducible and reducible) is explained.: 并说明了互素勾股数组的导出方法。

8. The method of calculation is exactly the same as that used for the Pythagorean 12 tones.: 这种计算方法与毕达哥拉斯的12音计算法完全一致。

9. In addition, Pythagorean School explored art from the perspective of harmonious proportion.: 毕达哥拉斯学派还从和谐的比例的角度，研究了艺术问题。

10. And I have tried to grasp the * Pythagorean power by which number holds control above the change.: 我还想明白毕达哥拉斯的乘方，通过乘方数控制万物的变化。

11. 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。

12. Have the same number of even three-dimensional primitive Pythagorean Solution and algorithm.: 有相同偶数的三维本原勾股数求解及算法。

13. And I have tried to apprehend the Pythagorean power by which number holds sway over the flux.: 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。

14. And I have tried to apprehend the Pythagorean power by which number holds away above the flux.: 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。

15. And I have tried to apprehend the Pythagorean power by which number holds sway 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。

16. 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。

17. I have wished to know why the stars shine, and I also want to understand the Pythagorean power.: 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。

18. 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。

19. The Pythagorean "diatonic" scale, still the basis of most Western music, is made up from seven notes.: 毕氏“全音阶”范围仍然是多数西方音乐的基石，它由七个音符组成。

20. The Pythagorean School began the scientific exploration of harmony and acoustics through these studies.: 毕达哥拉斯学派开始通过这些研究探索合弦与声学。

21. 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。

22. 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。

23. 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。

24. This article introduces the whole course of the demonstrating device of the pythagorean theorem with the glass plate .: 介绍了用玻璃板制作勾股定理演示器的全过程。

25. The teaching case that the Pythagorean theorem that this text offers proves is the application of probing into teaching.: 本文提供的勾股定理证明的教学案例就是一次探究性教学的应用。

26. The Pythagorean Theorem tells us that a 3-4-5 triangle is a right triangle, so we can simply test for sides of 3, 4, and 5.: 勾股定理(Pythagorean Theorem)告诉我们边长为3、4和5的三角形是直角三角形，因此可以使用边长3、4和5来简单地测试。

27. For instance, you're never quite sure why, having just read about the Pythagorean theorem, you're now reading about Johannes Kepler.: 比如，你一直弄不清楚为什么：刚读过毕达哥拉斯定理，马上又读约翰尼斯·开普勒。

28. Although his measurements were much more accurate than ours, triangles and Pythagorean theorem were at the heart of his calculations.: 虽然他的测量比我们精准许多，但三角形和毕氏定理都是他计算的核心。

29. Although his measurements were much more accurate than ours, triangles and Pythagorean theorem were at the heart of his calculations.: 虽然他的测量比我们精准许多，但三角形和毕氏定理都是他计算的核心。

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