阿基米德如何证明$π$近似等于22/7
How Archimedes showed that $π$ is approximately equal to 22/7
摘要：
圆的周长C与直径D之比是一个常数，用$π$表示，与圆的大小无关。众所周知，$π$是一个无理数，因此不能表示为一个公共分数。其值约等于3.141592。由于阿基米德是第一个提出$π$的22/7的有理逼近的人之一，它有时被称为阿基米德常数。在这篇文章中，我们将讨论阿基米德如何得出他的公式。阿基米德事实上证明，223/71 < $π$ < 22/7。在这里，我们提供了一个改进的下界。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
