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

都不是 帕索斯的罪源于一个数学证明：无理数的发现。

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

这是三月中一个特别日子，我们集体纪字母π代表的这个无理数。

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

我不能倒数π 他是个无理数。

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

如你们所知道的，3.14只是其中的一部分，让 π 真迷的是它是一个无理数。

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，著名的无理数pi也是与它描述的图形关系一样，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，即便我们无法将无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。

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一个无理数，它无法用两个整数的比值来表示。

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 不仅是一个无理数（因为它的小数展开是无限的）， 而且还是一个“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).

这是因为以无理数 pi 作为其常数， 圆永远无法变成方形，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).