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What is Projective Geometric Algebra in Euclidean Space about?
The discussion of how to apply geometric algebra to euclidean n-space has been clouded by a number of conceptual misunderstandings which we rst identify and resolve, based on a thorough review of crucial but largely forgotten themes from 19th century mathematics. We then introduce the dual projectivized Cliord algebra P(R n;0;1) (euclidean PGA) as the most promising homogeneous (1-up) candidate for euclidean geometry. We compare euclidean PGA and the popular 2-up model CGA (conformal geometric alg
- Author
- Zow Niak
- Language
- EN