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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux.
我渴望知道星星为什么闪闪发光，我试图理解毕达哥拉斯的思想威力，即数字支配着万物流转。
Reviewing the history of science, scientific aesthetics stems from the Pythagorean traditional mathematical rationality in ancient Greece.
综观科学史，科学美发源于古希腊毕达哥拉斯学派的数学理性传统。
Reviewing the history of science, scientific aesthetics stems from the Pythagorean traditional mathematical rationality in ancient Greece.
综观科学史，科学美发源于古希腊毕达哥拉斯学派的数学理性传统。
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