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TED-Ed(视频版)

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

是 希帕索斯的罪源于一个数学证明:理数的发现。

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科学60秒-科学美国人 20233

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

这是三中一个特别日子,们集体纪念希腊字母π代表的这个理数。

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小谢尔顿第三季 _ 温馨搞笑家庭美剧 Young Sheldon 中英双语

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

倒着数π 他是个理数。

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CNN 10 学生英语 20193

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只是其中的一部分,让 π 真正令人着迷的是它是一个理数。

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TED-Ed(视频版)

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一样,代表者圆周长和半径的比例。

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TED-Ed(视频版)

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,即便法将理数表示称为整数的比例,们却可以将它准确表现在图形之中。

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Veritasium真理元素

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的方程,其中每个项都是理数乘以 X 的某个幂。

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双语版 TED-Ed 演讲精选

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理数,它法用两个整数的比值来表示。

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精选英语短文

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 仅是一个理数(因为它的小数展开是限的), 而且还是一个“常数” ,至少在计算圆的尺寸方面是这样。

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精选英语短文

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,至少在改变其面积、失去或获得意想到的几何“面积” (即平面形状占据的空间)的情况下).

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