
Journal for Geometry and Graphics 25 (2021), No. 2, 253263 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 ndimensional Euclidean space. The barycentric coordinates over simplex and parallel projections in the ndimensional Euclidean space will be used for the proof of these extensions. Keywords: van Aubel's theorem, extension, simplex, ndimensional Euclidean space. MSC: 51M04; 51N20. [ Fulltextpdf (399 KB)] for subscribers only. 