That relationship can be derived from the Pythagorean theorem.

这种关系源于毕达哥拉斯定理。

You might remember the Pythagorean theorem from school like what the formula is?

你可能还记得在学校学的勾股定理，比如公式是什么？

And it wasn't until 1945 that it was revealed to contain Pythagorean triples.

直到 1945 年，毕达哥拉斯三元组才被发现。

The shape of the earth? The heliocentric universe? The Pythagorean theorem? The structure of DNA?

放弃对地球形状的认识？对以太阳为中心的宇宙的认识？还是对勾股定理的认识？对DNA结构的认识？

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

同时我还想理解毕达哥拉斯的力量，通过它的力量，数驾驭了万物的变化。

Hippasus belonged to a group called the Pythagorean mathematicians who had a religious reverence for numbers.

希帕索是毕达哥拉斯学派中的一员他们对于数字有着宗教般的崇敬。

In particular, the Mesopotamian understood Pythagorean triples at a level of sophistication that we never expected.

特别是美索不达米亚人对毕达哥拉斯三元组理解的复杂程度，是我们从未预料到的。

It's like when I first encountered the Pythagorean Theorem.

就像我第一次接触勾股定理的感觉。

And I have tried to comprehend the Pythagorean power by which number holds sway above the flux.

同时我还力图领悟毕达哥拉斯的力量，即数字驾驭一切不稳定的强大力量。

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。