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math.MG2021
Isogonic and isodynamic points of a simplex in a real affine space
Manfred Evers
A non-equilateral triangle in a Euclidean plane has exactly two isogonic and two isodynamic points. There are a number of different but equivalent characterizations of these triang…
math.MG2019
On The Geometry of a Triangle in the Elliptic and in the Extended Hyperbolic Plane
Manfred Evers
We investigate several topics of triangle geometry in the elliptic and in the extended hyperbolic plane, such as: centers based on orthogonality, centers related to circumcircles a…
math.MG2017
On Centers and Central Lines of Triangles in the Elliptic Plane
Manfred Evers
We determine barycentric coordinates of triangle centers in the elliptic plane. The main focus is put on centers that lie on lines whose euclidean limit (triangle excess --> 0) is…