FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 213-228

Automated proving and analysis of geometric theorems in coordinate-free form by using the anticommutative Gröbner basis method

I. J. Tchoupaeva

Abstract

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Some geometric theorems can be stated in coordinate-free form as polynomials in Grassman algebra and can be proven by the anticommutative Gröbner basis method. In this article, we analyze some properties of both sets of hypotheses and conclusions of the theorem.

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03315h.htm.
Last modified: January 24, 2005.