Antidéplacement

In Geometry, a antidéplacement is a Isométrie which preserves the distances and which reverses the orientation: in dimension 2 \, antidéplacement reverses the Angle S directed.

Examples

  • In dimension 2 \, , orthogonal symmetries compared to a line are antidéplacements.
  • In dimension 3 \, , symmetries compared to a point are antidéplacements.
  • In dimenson n \, , orthogonal symmetries compared to a hyperplane are antidéplacements,
and symmetries compared to a point are antidéplacements if n \, is odd .
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