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Geometric Transformations II : Similarities /

This book is the sequel to Geometric Transformation I which appeared in this series in 1962. Part 1 treats length-preserving transformation (called isometries), this volume treats shape-preserving transformations (called similarities); and Part III treats affine and protective transformations. These...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Yaglom, I. M., Shields, Allen
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2011.
Colección:Anneli Lax new mathematical library.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover
  • Title page
  • Copyright Page
  • Note to the Reader
  • Contents
  • Translatorâ€?s Preface
  • From the Authorâ€?s Preface
  • Introduction. What is Geometry?
  • Chapter I. Classification of Similarity Transformations
  • 1. Central similarity (homothety)
  • 2. Spiral similarity and dilative reflection. Directly similar and oppositely similar figures
  • Chapter II. Further Applications of Isometries and Similarities
  • 1. Systems of mutually similar figures
  • 2. Applications of isometries and of similarities to the solution of maximum-minimum problems
  • Solutions.Chapter One. Classification of similarities
  • Chapter Two. Further applications of isometries and similarities