论文标题
常规七角形区域的Elamite公式
The Elamite Formula for The Area of a Regular Heptagon
论文作者
论文摘要
在本文中，我们研究了Susa数学文本编号\，2，这是一部粘土平板电脑的题词，该粘土平板电脑在卢浮宫博物馆的集合中，并被认为截至1894年 - 1595年公元前公元前。我们专注于本文中给出的常规七角形区域的大概区域。我们给出了公式的几何解释，并表明，这种近似值比巴比伦数学中的其他同时性公式更准确，甚至希腊数学苍鹭的近似公式是在大约1800年后证明了这一点的。我们还考虑了Susa抄写员可能已经应用此公式来构建常规七角形的可能的方式，以在粘土片上进行铭文。
In this article, we study the inscription on the reverse of Susa Mathematical Text No.\,2, a clay tablet held in the collection of the Louvre Museum and thought to date from between 1894--1595 BC. We focus on the formula given in this text for the approximate area of a regular heptagon. We give a geometric explanation for the formula and show that this approximation is more accurate than other contemporaneous formulas in Babylonian mathematics and even that of Greek mathematician Heron who proved it almost 1800 years later. We also consider the possible ways the Susa scribes might have applied this formula to construct the regular heptagon for inscription on a clay tablet.
