This article introduces the whole course of the demonstrating device of the Pythagorean theorem with the glass plate.

1、

The Pythagorean Theorem tells us that a3-4-5 triangle is a right triangle, so we can simply test for sides of3,4, and5.

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。

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2、

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.

例如，R2的平方、二维向量的长度、三角不等式等都存在勾股定理。

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3、

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，我还从来没有介入过一场谈判勾股定理的鸡尾酒会。

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4、

Different nations step into the reacher about The Pythagorean at different times.

对勾股定理的研究，不同民族在起始时间上不同。

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5、

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。

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6、

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.

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。

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7、

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.

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。

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8、

Generalized Pythagorean Theorem in n-dimensional Euclidean Space

关于n维欧氏空间上的广义勾股定理

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9、

One New Study for First Proving of the "Pythagorean Theorem"

勾股定理最早证明新考

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10、

The Transformation and General Pythagoras' Theorem on the Linear Manifold

线性流型上的变换函数Φ及广义的勾股定理

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11、

When leaders treat the member well occasionally , they accept any and all crumbs gratefully.

当领导者偶尔略施小惠, 他们便感激涕零.

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12、

The eagerness in the author's voice told him that he had guessed right.

作家声音里流露出来的感激涕零的急切语气使他明白:他是猜对了.

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13、

When I have nothing, the love of God and His grace overwhelm me!

当我没了一切, 神的爱与恩典浇灌令我感激涕零!

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14、

It is as often applied to feelings which arise from an half-hour's acquaintance.

这通常总是用来形容男女一见钟情.

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15、

Both were stuck at the same moment.

俩人一见钟情.

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16、

The Cornwall coast was a pitiful sight to behold.

康沃尔一带海岸让人触景生情,十分惋惜.

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17、

Well, I have mixed emotions.

哎, 真是百感交集.

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18、

He read these things with mingled feelings.

他百感交集地读着这些消息.

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19、

Boss : My feelings are mixed on the issue too.

我也百感交集.

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20、

He could never see the face of Goldstein without a painful mixture of emotions.

每次看到戈德斯坦的面孔,他都禁不住百感交集,痛苦异常.

英汉文学