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.
重点在于勾股定理比看上去要重要得多。
The point is that Euclid's theorem is a lot more important than it initially looks.
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.
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.
一种改进办法是重新引入勾股定理来帮助我们。
One way to fix this is to re-introduce Pythagoras to help us.
介绍了用玻璃板制作勾股定理演示器的全过程。
This article introduces the whole course of the demonstrating device of the pythagorean theorem with the glass plate .
本文论述了用分割面积来证明勾股定理的多种方法。
This paper discusses mang methods to prove Legs of a triangle and right angles theorem with cut area.
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 teaching case that the Pythagorean theorem that this text offers proves is the application of probing into teaching.
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。
But let's take something simple like the Pythagorean Theorem, which we all learned in high school.
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。
In all my years I have never once attended a cocktail party where the conversation turned to the Pythagorean theorem.
例如，R 2的平方、二维向量的长度、三角不等式等都存在勾股定理。
For instance, it's also the square of the Euclidean norm on R2, the length of a two-dimensional vector, a part of the triangle inequality, and quite a bit more.
我们在两者间作出选择的方式是，选择能够最大地减少斜向直线距离的方向(通过勾股定理测算)。
We make the choice between the two by choosing the direction that will reduce the straight-line diagonal distance (as measured by Pythagoras) the most.
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.
本文给出了两个定理：从一个新的角度推广了勾股定理与余弦定理：另外我们还给出了这两个定理的若干简单应用。
In this paper, we generalized the Pythagorean Theorem and Cosine law from the new point and we have got a few the simple proper USES of the result that we have made.
即使承认这一看法，西方最早给出勾股定理证明的时间也不会早于公元前585年，即相传毕达哥拉斯出生的那一年。
Even if admit this view, in the western countries the time of first proof of the Pythagoras theorem is not probably early than epoch ago 585 year.
如果我们的前辈以我们有些人试着理解的方式来理解这段圣训，他们绝对不会出现发明运算法则和揭示勾股定理的伟大学者。
If our predecessors understood the hadith the way some of us try to understand it, they would have never produced the great scholars who invented algorithms and developed trigonometry.
文章给出了模糊内积空间中垂直的定义，介绍了正规正交基，然后利用它讨论了模糊内积空间的一些性质，并证明了勾股定理。
In this paper, the vertical concept on the fuzzy inner product space is given and a regular vertical base is introduced.
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。
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.
生活在公元前540年左右的毕达哥拉斯，便提出了闻名于世的关于直角三角形各边的 勾股定理 。古代最知名的几何学家欧几里得生活在公元前300年左右。
Pythagoras, who is remembered for his theorem about the sides of a right-angled triangle, lived around 540 BC, while Euclid, the best known geometer of the ancient world, lived around 300 BC.
生活在公元前540年左右的毕达哥拉斯，便提出了闻名于世的关于直角三角形各边的 勾股定理 。古代最知名的几何学家欧几里得生活在公元前300年左右。
Pythagoras, who is remembered for his theorem about the sides of a right-angled triangle, lived around 540 BC, while Euclid, the best known geometer of the ancient world, lived around 300 BC.
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