When is a Triangle Bisected by its Euler Line?
Journal for geometry and graphics, Tome 28 (2024) no. 1, pp. 131-136
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.
Classification :
97D80, 51M04
Mots-clés : Euler line, Euclidean geometry
Mots-clés : Euler line, Euclidean geometry
@article{JGG_2024_28_1_JGG_2024_28_1_a10,
author = {G. Vincenzi},
title = {When is a {Triangle} {Bisected} by its {Euler} {Line?}},
journal = {Journal for geometry and graphics},
pages = {131--136},
year = {2024},
volume = {28},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2024_28_1_JGG_2024_28_1_a10/}
}
G. Vincenzi. When is a Triangle Bisected by its Euler Line?. Journal for geometry and graphics, Tome 28 (2024) no. 1, pp. 131-136. http://geodesic.mathdoc.fr/item/JGG_2024_28_1_JGG_2024_28_1_a10/