Basic lessons on isometries, similarities and inversions in the Euclidean plane [electronic resource] : a synthetic approach / Ioannis Markos Roussos.
By: Roussos, Ioannis Markos
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Material type: 
BookPublisher: Singapore : World Scientific, 2021Description: 1 online resource (500 p.).ISBN: 9789811239861; 981123986X.Subject(s): Euclid's Elements | Geometry, Plane | Isometrics (Mathematics) | Similarity (Geometry) | Inversions (Geometry)Genre/Form: Electronic books.DDC classification: 516.22 Online resources: Access to full text is restricted to subscribers. Includes bibliographical references and index.
Some preliminaries -- Isometries -- Exercises on isometries -- Similarities -- Exercises on similarities -- The transformation of inversion -- Exercises on circles -- Exercises on radical axis -- Exercises on inversion.
"The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education"-- Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
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