Geometric Transformations III : Affine and Projective Transformations /

This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the p...

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Détails bibliographiques
Cote:Libro Electrónico
Autres auteurs: Yaglom, I. M., Shenitzer, Abe
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge : Cambridge University Press, 2011.
Collection:Anneli Lax new mathematical library.
Sujets:
Inversions (Geometry)
Geometry, Modern.
Inversions (Géométrie)
Géométrie moderne.
Geometry, Modern
Accès en ligne:Texto completo
Table des matières:
  • Front Cover
  • Title page
  • Copyright Page
  • Contents
  • Translatorâ€?s Preface
  • From the Authorâ€?s Preface
  • Introduction. What is Geometry? (Final Essay)
  • Chapter I. Affine and Projective Transformations (Affinities and Projectivities)
  • 1. Parallel projection of a plane onto a plane. Affine transformations of the plane
  • 2. Central projection of a plane onto a plane. Projective transformations of a plane
  • 3. Central projections which carry a circle into a circle. Stereographic projections
  • 4. Reciprocation (polarity) of the plane. Principle of duality5. Projective transformation of a line and a circle. Straightedge construction
  • Supplement.
  • Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)
  • Solutions.
  • Chapter One. Affine and projective transformations
  • Supplement. Hyperbolic geometry

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