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“两条内角平分线相等的三角形是等腰三角形”,这是由雷米欧司提出面由斯坦纳首先证明的闻名全球的“斯坦纳——雷米欧司”定理．1840年,德国数学家雷米欧司(Lehmus)给当时的大数学家斯图姆的一封信中说到:“几何题在没有证明之前,很难说它是难还是容易．等腰三角形的两底角平分线相等,初中生都会证．但反过来,三角形的两内角平分线相等,这个三角形一定是等腰三角形吗?我至今还没想出来．”此后,斯图姆又向许多数学家提出了这个问题,请求给出一个纯几何的证明．一年多后,瑞士大几何学家斯坦纳(Steiner,1796-1873)首次证明了它,于是,这个问题以“斯坦纳——雷米欧司”定理而闻名于世．
“The triangles with equal internal bisector bisectors are isosceles triangles”, which is the world-famous “Steiner-Remios” theorem first proposed by Steiner by Remios. In 1840, the German mathematician Lehmus said in a letter to the then big mathematician Sturm: “The geometry question is difficult to say whether it is difficult or easy, without proof. Isosceles triangle The bisector bisectors are equal, and junior high school students will testify. But conversely, the bisector of the triangle is equal to the bisector of the inner angle. Is this triangle necessarily an isosceles triangle? I haven’t figured it out yet.” After that, Sturm went to many mathematics The homemaker raised this question and requested to give a proof of pure geometry. More than a year later, the great Swiss geometer Steiner (1796-1873) proved it for the first time. Therefore, this question is famous for its ”Steiner-Remios" theorem.