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International Journal of Mathematical Education in Science and Technology Volume 38, 2007 - Issue 2
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Original Articles

Plane transformations in a complex setting II: isometries

Thierry Dana-Picard Department of Applied Mathematics, Jerusalem College of Technology, POB 16031, Havaad Haleumi Street 21, Jerusalem 91160, IsraelCorrespondence[email protected]
Pages 163-188 | Received 28 Dec 2004, Published online: 03 Jul 2007
 
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Abstract

This paper is the second part of a study of plane transformations using a complex setting. The first part was devoted to homotheties and translations, now attention is turned towards plane isometries. The group theoretic properties of plane isometries are easy to derive and images of classical geometrical objects by these transformations are easily computed in this environment.

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