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Journal for Geometry and Graphics 28 (2024), No. 1, 131--136 Copyright by the authors licensed under CC BY SA 4.0 When is a Triangle Bisected by its Euler Line? Giovanni Vincenzi Dipartimento di Matematica, Università di Salerno, Fisciano, Italy vincenzi@unisa.it The Euler line divides both right triangles and isosceles triangles into two equivalent parts. We show that these are the only two cases in which this can happen. Keywords: Euler line, Euclidean geometry. MSC: 97D80; 51M04. [ Fulltext-pdf (470 KB)] |