Geodesic
Extending a Theorem of van Aubel to the Simplex
Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 253-263.

Voir la notice de l'article provenant de la source Heldermann Verlag

We will extend an interesting theorem of van Aubel's for a triangle in the plane to a simplex in the n-dimensional Euclidean space. The barycentric coordinates over simplex and parallel projections in the n-dimensional Euclidean space will be used for the proof of these extensions.
Classification : 51M04, 51N20
Mots-clés : van Aubel's theorem, extension, simplex, n-dimensional Euclidean space 
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     author = {T. Q. Hung },
     title = {Extending a {Theorem} of van {Aubel} to the {Simplex}},
     journal = {Journal for geometry and graphics},
     pages = {253--263},
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     number = {2},
     year = {2021},
     url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a8/}
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T. Q. Hung . Extending a Theorem of van Aubel to the Simplex. Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 253-263. http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a8/