# Mapping Circles by a Linear Fractional Transformation

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A linear fractional transformation (or Möbius transformation) in the complex plane is a conformal mapping that has the form , where , , , and are complex, with . The transformation transforms circles in the plane into circles in the plane, where straight lines can be considered to be circles of infinite radius.

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Contributed by: Izidor Hafner (February 2016)

Open content licensed under CC BY-NC-SA

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"Mapping Circles by a Linear Fractional Transformation"

http://demonstrations.wolfram.com/MappingCirclesByALinearFractionalTransformation/

Wolfram Demonstrations Project

Published: February 22 2016