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Book Sections Year : 2001

Geometric Reasoning with Geometric Algebra


This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided. We report an experiment which demonstrates how identities in Clifford algebra can be effectively proved using the induction principle with heuristic simplification.

Dates and versions

inria-00100621 , version 1 (26-09-2006)



Dongming Wang. Geometric Reasoning with Geometric Algebra. E. Bayro-Corrochano and G. Sobczyk. Geometric Algebra with Applications in Science and Engineering, Birkhäuser, pp.87-109, 2001, ⟨10.1007/978-1-4612-0159-5_5⟩. ⟨inria-00100621⟩
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