Angle Bisectors of a Triangle in Lorentzian Plane

摘要

In Lorentzian geometry, limited definition of angles restricts the use ofangle bisectors in study of triangles. This paper redefines angle bisectors sothat they can be used to study attributes of triangles. Using the newdefinition, this paper investigates the existence of the incenter and theisogonal conjugate of a triangle in Lorentzian plane.