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Classroom Notes

Plane transformations in a complex setting III: similarities

Pages 411-423 | Received 10 Mar 2008, Published online: 02 Apr 2009
 

Abstract

This is the third part of a study of plane transformations described in a complex setting. After the study of homotheties, translations, rotations and reflections, we proceed now to the study of plane similarities, either direct or inverse. Their group theoretical properties are described, and their action on classical geometrical objects is studied.

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