三分角与双曲线

Trisection Angle and Hyperbola

三等分角问题是二千四百年前,古希腊人提出的几何三大作图问题之一。三分角问题虽是无解的,但人们在研究三分角的过程中发现了双曲线。文章就三分角问题分析了三分角双曲线的性质、机械作图法并在此基础上研究对某一角的任意等分问题。

The problem of trisection angle is one of three geometric problems put forward by archaic Greek 2,400 years aga.Trisection angle can not be solved. However, in the researching process people found hyperbola. In the light of trisection angle problem, the paper discusses the nature of trisection angle and hyperbola and mechanical drawing and explores the problem of arbitrary proportion of a certain angle.