分割圆
Dividing the circle
摘要：
已知有一些正多边形的构造，通常内接于圆，但不是所有的多边形-高斯-旺泽尔定理精确地指出了哪些多边形可以构造。多边形之间的构造差别很大。然而，有一般的过程来确定边的$n$边形（近似，但有时精度很高），我们在本文中描述。我们提出了一个联合数学分析的所谓的Bion和Tempier近似方法，比较的错误，并试图解释为什么这些建设将在所有的工作。
英文摘要：
There are known constructions for some regular polygons, usually inscribed in a circle, but not for all polygons - the Gauss-Wantzel Theorem states precisely which ones can be constructed. The constructions differ greatly from one polygon to the other. There are, however, general processes for determining the side of the $n$-gon (approximately, but sometimes with great precision), which we describe in this paper. We present a joint mathematical analysis of the so-called Bion and Tempier approximation methods, comparing the errors and trying to explain why these constructions would work at all.
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。
