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

都不是 帕索斯的罪源于数学证明：理数的发现。

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

这是三月中特别日子，我们集体纪念母π代表的这理数。

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

我不能倒着数π 他是理数。

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

正如你们所知道的，3.14只是其中的部分，让 π 真正令人着迷的是它是理数。

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

相似的，著名的理数pi也是与它描述的图形关系样，代表者圆周长和半径的比例。

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.

有趣的是，即便我们法将理数表示称为整数的比例，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.

但是现在他得到了圆的方程，其中每项都是理数乘以 X 的某幂。

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，圆周长和直径的比值是理数，它法用两整数的比值来表示。

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 不仅是理数（因为它的小数展开是限的）， 而且还是“常数” ，至少在计算圆的尺寸方面是这样。

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).

这是因为以理数 pi 作为其常数， 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的几何“面积” （即平面形状占据的空间）的情况下不能).