论文标题
在莫利的三角上
On the Morley's triangle
论文作者
论文摘要
我们对Morley的Trisater定理进行了完整的调查。如果从三角形的相邻顶点开始的半线的交点是任意三角形的等边三角形的，则半线是角三角形。为了得出结果，我们使用基本三角学，泰勒级数扩展以及求解多项式方程的系统。作为副产品，我们获得了可能的新三角标识。
We give a complete investigation of Morley's trisector theorem. If the intersections of the half lines starting from the adjacent vertices of a triangle form an equilateral triangle for an arbitrary triangle, then the half lines are the angle trisectors. To derive the result we use elementary trigonometry, Taylor series expansions, and solve systems of polynomial equations step by step. As a byproduct we get a probably new trigonometric identity.
