Umfang:
1 Online-Ressource (viii, 110, [4] pages)
,
illustrations
ISBN:
9781487575649
,
1487575645
Serie:
Mathematical expositions no. 20
Anmerkung:
Includes bibliographical references (page 111) and index
,
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.
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Scherk, Peter Rudiments of plane affine geometry Toronto : University of Toronto Press, [1975] ISBN 0802021514
Sprache:
Englisch
Fachgebiete:
Mathematik
Mehr zum Autor:
Lingenberg, Rolf 1929-1978
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