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Generalized circle under a Möbius transformation

A generalized circle is either a Euclidean circle or a straight line together with the point at infinity. Every Möbius transformation maps generalized circles to generalized circles. A Euclidean circle becomes a line exactly when it contains the pole, the preimage of infinity.

Ancestors (7)

  1. Möbius transformation
  2. Projective linear group
  3. Group theory
  4. Algebra
  5. Area of mathematics
  6. Mathematics
  7. Home

Incoming links (2)