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Angles between flats information


The concept of angles between lines (in the plane or in space), between two planes (dihedral angle) or between a line and a plane can be generalized to arbitrary dimensions. This generalization was first discussed by Camille Jordan.[1] For any pair of flats in a Euclidean space of arbitrary dimension one can define a set of mutual angles which are invariant under isometric transformation of the Euclidean space. If the flats do not intersect, their shortest distance is one more invariant.[1] These angles are called canonical[2] or principal.[3] The concept of angles can be generalized to pairs of flats in a finite-dimensional inner product space over the complex numbers.

  1. ^ a b Cite error: The named reference jordan was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference afriat was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference bjoerck was invoked but never defined (see the help page).

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