Abstract.In Euclidean geometry, the inner-product, the norm and the geometrical meaning of inner-product are all well known. In the case of non-Euclidean geometries (spherical and hyperbolic geometries), we usually have difficulties. There are, now, two new non-Euclidean geometries - taxicab and iso-taxicab geometry.

The taxicab geometry is defined in 1975. It is, as mentioned by E.F. Krause, easy to understand and has many application in human life.

The iso-taxicab geometry is defined in 1989 by K.O. Sowell. The inner-product, the norm and the geometrical meaning of inner-product are given by the Ekici, Kocayusufoglu, Akca. The inner-product and the norm of iso-taxicab Geometry are defined by the author.

The aim of this paper is to give the geometrical meaning of iso-taxicab inner-pruduct.

Received: April 20, 2005

AMS Subject Classification: 51E25, 51F99

Key Words and Phrases: iso-taxicab geometry, inner-product, norm

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 2