Geodesic
Characterization of an Isosceles Tetrahedron
Journal for geometry and graphics, Tome 23 (2019) no. 1, pp. 37-4 Cet article a éte moissonné depuis la source Heldermann Verlag

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A tetrahedron in which each edge is equal to its opposite is an {isosceles} tetrahedron. We will use vectors to prove the following statement: A tetrahedron OABC is isosceles if, and only if the centroid of the parallelepiped defined by the three edges OA, OB, and OC is an ex-center of the tetrahedron OABC.
Classification : 52B10, 51M04, 51N20
Mots-clés : Isosceles tetrahedron, in-center, ex-center, centroid, circum-center 
@article{JGG_2019_23_1_JGG_2019_23_1_a3,
     author = {H. Katsuura},
     title = {Characterization of an {Isosceles} {Tetrahedron}},
     journal = {Journal for geometry and graphics},
     pages = {37--4},
     year = {2019},
     volume = {23},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2019_23_1_JGG_2019_23_1_a3/}
}
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H. Katsuura. Characterization of an Isosceles Tetrahedron. Journal for geometry and graphics, Tome 23 (2019) no. 1, pp. 37-4. http://geodesic.mathdoc.fr/item/JGG_2019_23_1_JGG_2019_23_1_a3/