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Geometric Reasoning with Geometric Algebra

Dongming Wang 1, 2
1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
2 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : 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.
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Submitted on : Tuesday, September 26, 2006 - 2:48:27 PM
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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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