Manfred Evers, On centers and central lines of triangles in the elliptic plane,
Forum Geometricorum, 17 (2017) 325--354.
Abstract. 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 the Euler line or the Brocard line. We also investigate curves which can serve in elliptic geometry as substitutes
for the euclidean nine-point-circle, the first Lemoine circle or the apollonian circles.
[ps file]
[pdf]
Return to Forum Geom., 17 (2017) Table of Contents