20世纪初,著名的数学家富兰克.莫莱发现:性质1[1]、[2]将任意三角形各角三等分,则每两个角的相邻三等分线交点构成正三角形的顶点,此三角形称作内莫莱三角形.若将“各角”改为“各外角”,则有性质2[3]将任意三角形各外角三等分,则每两个角的相邻三等分线交点构成正三角形的顶点 At the beginning of the 20th century, the famous mathematician Frank Morley discovered that the properties 1[1] and [2] triangulate the angles of any triangle, and the intersection of the adjacent three bisectors of each two angles forms a regular triangle. At the top of the triangle, this triangle is called the Nemouri triangle. If you change the “Angle” to “External Corner”, then there are properties 2[3] that divide the outer corners of any triangle into three equal parts, then every two adjacent corners of the triangle. The intersection of the bisectors constitutes the vertices of the equilateral triangle