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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.

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