Giving Birth to Vectorial Coordinate Geometry
This paper deals with certain foundational questions about the adequacy of the long- running Cartesian coordinate geometry which is based on the abstract concept of “sign convention” for the study of the physical world. To establish a bridge between theory and practice, the present paper purports to introduce the “Vectorial coordinate geometry” that makes use of a modern notational system to work as an alternative for the long-running historical system. The proposed scheme will be equally applicable to the “Pure mathematical world” as well as to the “Real physical world” and is much clearer leaving no room for confusion.
Loney, S. L. (1895). The elements of coordinate geometry. London: Macmillan and Co.
Ashton, C. H. (1905). Plane and solid analytic geometry. New York: Charles Scribner’s Sons.
Eisenhart, L. P. (1939). Coordinate geometry. New York: Dover Publications, Inc.
Spiegel, M. R. (1990). Schaum’s outline of theory and problems of vector analysis an introduction to tensor analysis, Schaum’s Outline Series. New York: McGraw-Hill.
(2002). Getting rid of the trivial sign conventions of Geometrical Optics. Bulletin of IAPT, 19(8), 257 – 259.
(2012). An exhaustive study of reflection and refraction at spherical surfaces on the basis of the newly discovered generalized vectorial laws of reflection and refraction, Optik, 123(5), 377 – 470.
(2008). Giving birth to generalized equations of motion. Accepted for presentation at the World Congress on Science, Engineering and Technology (WCSET), Vienna, Austria.
(2011).Discovering the generalized equations of motion. Eurasian J. Phys. Chem. Educ., 3(1), 14 – 25.
Copyright (c) 2019 Pramode Ranjan Bhattacharjee
This work is licensed under a Creative Commons Attribution 4.0 International License.
The author warrants that the article is original, written by stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).