Plane transformations in a complex setting III: similarities

• Autores: Thierry Dana-Picard
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 3, 2009, págs. 411-423
• Idioma: inglés
• DOI: 10.1080/00207390802357299
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• Resumen

  • 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.