论文标题

Elamite数学中梯形的一分子

Bisection of Trapezoids in Elamite Mathematics

论文作者

Heydari, Nasser, Muroi, Kazuo

论文摘要

通过横向线对梯形的一分解在巴比伦数学中有许多例子。在本文中,我们研究了Elamite数学中的类似问题,该问题刻在卢浮宫博物馆收藏中的粘土平板电脑上,并被认为截至1894年 - 1595年公元前1595年。我们试图证明,这个问题与横向线条对梯形的典型巴比伦问题不同。我们还确定了这个问题的一些可能的数学思想以及可能激发其设计的创新方法。

The bisection of trapezoids by transversal lines has many examples in Babylonian mathematics. In this article, we study a similar problem in Elamite mathematics, inscribed on a clay tablet held in the collection of the Louvre Museum and thought to date from between 1894--1595 BC. We seek to demonstrate that this problem is different from typical Babylonian problems about bisecting trapezoids by transversal lines. We also identify some of the possible mathematical ideas underlying this problem and the innovative approach that might have motivated its design.

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