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The Classification of Similarities: A New Approach

by Aad Goddijn (Freudenthal Institute The Netherlands) and Wim Pijls (Erasmus University The Netherlands)

This article originally appeared in:
Mathematics Magazine
June, 2007

Subject classification(s): Geometry and Topology | Plane Geometry | Transformations
Applicable Course(s): 4.9 Geometry

In plane geometry, if a similarity is not an isometry, it is either a dilative rotation or a dilative reflection. A new proof is given based on Apollonius circles.


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