No, Hippasus's transgression was a mathematical proof: the discovery of irrational numbers.

都不是 希帕索斯罪源于一个明：理发现。

It's that special day in March when we collectively celebrate the irrational number represented by the Greek symbol pi.

这是三月中一个特别日子，我们集体纪念希腊字母π代表这个理。

I can't count pi, it's an irrational number.

我不能倒着π 他是个理。

As you " mathaletes" know, 3.14 is only part of it, what makes pi truly fascinating is that its an irrational number.

正如你们所知道，3.14只是其中一部分，让 π 真正令人着迷是它是一个理。

Similarly, the famous irrational number pi is always equal to exactly what it represents, the ratio of a circle's circumference to its diameter.

相似，著名理pi也是与它描述图形关系一样，代表者圆周长和半径。

Interestingly, even though we can't express irrational numbers as ratios of integers, it is possible to precisely plot some of them on the number line.

有趣是，即便我们法将理表示称为整，我们却可以将它准确表现在图形之中。

But now he's got an equation for a circle where each term is just irrational number times X raised to some power.

但是现在他得到了一个圆方程，其中每个项都是理乘以 X 某个幂。

You see, the ratio of a circle's circumference to its diameter is what's known as an irrational number, one that can never be expressed as a ratio of two whole numbers.

因为，圆周长和直径值是一个理，它法用两个整值来表示。

That makes 3.14 not only an irrational number (because its decimal expansions are infinite) but also a " constant" , at least with regard to calculating the measurements of a circle.

这使得 3. 14 不仅是一个理（因为它小展开是限）， 而且还是一个“常” ，至少在计算圆尺寸方面是这样。

This was because with the irrational number, pi, as its constant, a circle could never be turned into a square, at least not without changing its area, losing or gaining unintended geometric " area" (i.e., the space occupied by a flat shape).

这是因为以理 pi 作为其常， 圆永远法变成正方形，至少在不改变其面积、失去或获得意想不到几何“面积” （即平面形状占据空间）情况下不能).