论文标题
阿基米德如何表明$π$大约等于22/7
How Archimedes showed that $π$ is approximately equal to 22/7
论文作者
论文摘要
一个圆的圆周c与直径D的比率是一个恒定的数字，用$π$表示，并且与圆的大小无关。众所周知，$π$是一个非理性的数字，因此不能表示为共同的分数。它的值大约等于3.141592。由于阿基米德（Archimedes）是最早提出$π$合理近似值的人之一，因此有时被称为阿基米德（Archimedes）的常数。在本文中，我们讨论了阿基米德如何提出他的公式。实际上，阿基米德证明了223/71 <$π$ <22/7。在这里，我们提供了改进的下限。
The ratio of the circumference, C, of a circle to its diameter, D, is a constant number denoted by $π$ and is independent of the size of the circle. It is known that $π$ is an irrational number and therefore cannot be expressed as a common fraction. Its value is approximately equal to 3.141592. Since Archimedes was one of the first persons to suggest a rational approximation of 22/7 for $π$, it is sometimes referred to as Archimedes' constant. In this article, we discuss how Archimedes came up with his formula. Archimedes in fact proved that 223/71 < $π$ < 22/7. Here we provide an improved lower bound.
