Rudiments of plane affine geometry /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Scherk, Peter, Lingenberg, Rolf, 1929- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Toronto ; Buffalo : University of Toronto Press, [1975]
Colección:Mathematical expositions ; no. 20.
Temas:
Geometry, Affine.
Géométrie affine.
MATHEMATICS > Geometry > General.
SCIENCE > Physics > Mathematical & Computational.
Geometry, Affine
Affine Geometrie
Affiene meetkunde.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Affine Planes
  • 1.1 The Axioms
  • 1.2 Examples
  • 1.3 A co-ordinate plane
  • 1.4 Finite planes
  • 2. Collineations
  • 2.1Bijections
  • 2.2 Collineations
  • 2.3 Fixed elements
  • 2.4 Homotheties-- 2.5 Translations
  • 2.6 Dilatations
  • 2.7 Axial Affinities
  • 3. Translation Planes
  • 3.1 Linear Transitivity
  • 3.2 The Configurations of translation planes
  • 3.3 The prime kernel of a translation plane
  • 4. Desarguesiam Planes
  • 4.1 The Dilatation groups D(O)
  • 4.2 The shear theorem
  • 4.3 The linear transitivity of the groups A(a)
  • 5. Pappus Planes
  • 6. Co-Ordinates in Desarguesian Planes
  • 6.1 Co-ordinate planes
  • 6.2 Co-ordinates in desaeguesian planes
  • 6.3 The Fundamental theorem of affine geometry
  • 7. The Projective Closure of an Affine Plane
  • 7.1 Motivation
  • 7.2 The axioms of a projective plane
  • 7.3 The duality principle
  • 7.4 Collineations
  • 7.5 The canonical duality
  • 7.6 Affine restrictions of collineations of projective planes
  • 8. Desarguensian Projective Planes
  • 8.1 Projective and affine desarguesian planes
  • 8.2 The Projective theorem of Desargues
  • 8.3 Projective Pappus Planes.

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