Proof of Möbius transformation cross-ratio preservation theorem

From the definition of Möbius transform we get that the image wk of a point zk is


From this we get


and by inserting this into the cross-ratios

Title Proof of Möbius transformationMathworldPlanetmath cross-ratioMathworldPlanetmath preservation theorem
Canonical name ProofOfMobiusTransformationCrossratioPreservationTheorem
Date of creation 2013-03-22 14:08:20
Last modified on 2013-03-22 14:08:20
Owner Johan (1032)
Last modified by Johan (1032)
Numerical id 5
Author Johan (1032)
Entry type Proof
Classification msc 30E20