Journal for Geometry and Graphics 25 (2021), No. 2, 253--263
Copyright Heldermann Verlag 2021
Extending a Theorem of van Aubel to the Simplex
Tran Quang Hung
High School for Gifted Students, Vietnam National University at Hanoi, Hanoi, Vietnam
tranquanghung@hus.edu.vn
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.
Keywords: van Aubel's theorem, extension, simplex, n-dimensional Euclidean space.
MSC: 51M04; 51N20.
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