Research On The Angular Bisector Of Minkowski Plane And Related Issues

The geometry of normend linear spaces has been widely studied. For example, many results concernlty generalized orthogonality types and the relation beetween them have been obtained .Via isosceles orthogonalty, Holub presented properties of . 2008 Horst Martini, Wu Senlin pointed out that a Minkowski plane is Euclidean if the normalization of their sum is equidistant to these two points for any different points a and b in the unit circle. They actually proved that if R. W. Freese's angle bisector satisfies a weaker conditions than the Angnlar Bisector properly introduced by R. W. Freese, C. R. Diminnie, E. Z. Andalafte, the underlying space have to be space.The concept of angle, measure of angles, the properties of these the concepts, and the property of the angnlar bisector introduced by R. W. Freese, C. R. Diminnie and E. Z. Andalafte are studied. We also study property of angnlar bisectors introduced via measure of angles, and conditions that ensure the coincidence of these concepts.Also we try to extend results in the Euclidean plane concerning circles to general Minkowski pianes. Results concerning"circumscribed angle"and"central angle"have been obtained. A new method to prove the uniqueness of isosceles orthogonality is presented.