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.

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