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。

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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。

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Marmash reviews the Pythagorean theorem then challenges students to ask themselves if the theory remains valid for triangles or cylinders, such as the ones in the juice problem.

Marmash先复习了毕达哥拉斯定理，接着让学生思考：在同样的果汁问题中，这个定理是否适用于三角形或圆柱体。

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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

耶鲁公开课 - 死亡课程节选

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

耶鲁公开课 - 死亡课程节选

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

耶鲁公开课 - 死亡课程节选

In 1820, German mathematician Karl Friedrich Gauss proposed cutting an enormous right triangle into the Siberian pine forest, creating a monument to the Pythagorean theorem big enough to see from outer space.

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