Abstract Let Kn be a complete graph with n vertices, Ck denote a cycle of length k, and Sk denote a star with k edges. If k = 3, then we call C3 a triangle and S3 a claw. In this paper, we show that ...

Summary We prove the next generalization of the Steiner-Lehmus theorem: if two equal cevians intersect with each other on the angle bisector of the third triangle vertex, then the triangle is ...