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众所周知,三角形有重心、垂心、内心、外心、旁心等许许多多的心,而且还在不断地增加.关于三角形三边图形的研究很多,本文研究三角形三边上,关于垂直平分线对称的,相似图形的重心与三角形顶点连线的共点问题,基于赛瓦(Ceva)定理的逆定理为三角形再添一心,由于该心涉及三边图形的重心,鉴于恒星系运行图式,不妨称之为恒心.定理1分别以△ABC的三边BC,CA,AB为底,向△ABC外作等腰三角形△BCA′,
As we all know, the triangle has a center of gravity, vertical, inner, outer, inner and many other hearts, but also continue to increase.A lot of research on the triangular three-sided graphics, the paper studies the triangular three sides, on the vertical bisector symmetry The similarity of the center of gravity and the vertices of the triangle is a common problem. Based on the Ceva theorem, the inverse theorem adds another dimension to the triangle. Since the center of the triangle involves the center of gravity, Called the perseverance theorem 1, respectively, to the three sides of △ ABC BC, CA, AB as the basis for △ ABC outer isosceles triangle △ BCA ’