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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

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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