IJPAM: Volume 52, No. 5 (2009)

THE GENESIS OF A VECTOR CO-ORDINATE
WITH RESPECT TO AN AXIS

Alfred Stepniewski
Department of Mathematics
Szczecin University of Technology
Ruska 33c/9, Szczecin, 70-132, POLAND
e-mail: [email protected]


Abstract.In this paper, the genesis of a vector co-ordinate with respect to an axis is presented. Of the term of the co-ordinate almost everything has been said in the literature. However, the author here has not found a single logical picture of the whole of the co-ordinate. Bearing in mind the citation of H. Poincaré, the genesis of that primary term of the calculus of vectors has been put forward. For this purpose, the terms of the relative measure and projection of a vector upon an axis are used. The term of the vector co-ordinate with respect to an axis is defined based on the term the co-ordinate of the projection of the vector upon an axis.

Received: May 10, 2009

AMS Subject Classification: 26A33

Key Words and Phrases: relative measure, vector projection, vector projection co-ordinate, vector co-ordinate

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5