书中的另一个证明：关于正多边形的高斯定理
Yet another proof from the Book: the Gauss theorem on regular polygons
摘要：
这封信纯粹是临时性的。关于正多边形用圆规和直尺作图的高斯定理的陈述是简单而众所周知的。然而，它的证明在大多数教科书中依赖于许多无动机的材料，是远远不够的经济。本文给出了高斯定理的一个简单初等证明。该说明是可访问的学生熟悉多项式和复数，并可能是一个有趣的容易阅读的专业数学家。
英文摘要：
This note is purely expository. The statement of the Gauss theorem on the constructibility of regular polygons by means of compass and ruler is simple and well-known. However, its proofs given in most textbooks rely upon much unmotivated material and are far from being economic. In this note a short elementary proof of the Gauss theorem is presented. The note is accessible for students familiar with polynomials and complex numbers, and could be an interesting easy reading for professional mathematicians.
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。
