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在文 [1 ]中 ,已证明了如下命题 :定理 △ＡＢＣ各角顶点与对边三等分点的连线中 ,相邻两条分别交于Ｐ、Ｑ、Ｒ ,则△ＰＱＲ∽△ＡＢＣ且相似比为 1∶5。我们都知道优美的莫莱定理 :三角形相邻的三等角分线的交点是正三角形的三个顶点。如果说莫莱定理是从三角形角的角度出发
In [1], the following propositions have been proved: Theorem △ ABC In the connection between the vertices of each corner and the three equally divided points of the opposite side, the adjacent two are intersected by P, Q, and R, respectively, then ΔPQR∽ΔABC And the similarity ratio is 1:5. We all know the beautiful Moline’s theorem: The intersections of the triangles that are adjacent to each other are the three vertices of the equilateral triangle. If the Moline Theorem is from the angle of the triangle