Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach
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€167.40
A01=Ioannis Markos Roussos
Applications
Author_Ioannis Markos Roussos
Category=PBMH
Compositions
Direct Similarities
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Examples
Exercises
Glides
Inversions
Isometries
Notable Theorems
Opposite Similarities
Parallel Translations
Radical Axis
Radical Center
Reflections
Rotations
Similarities
Steiner Chains
Product details
- ISBN 9789811239854
- Publication Date: 27 Sep 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
