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Metric Planes - A Group Theoretical Foundation
eBook - Based on two lectures of Helmut Karzel held in 1962 and 1963 at the University of Hamburg and worked out under the leading of Prof. Dr. Karzel. Renewed, completed and translated by G. Graumann, scripta didactica mathematica
ISBN/EAN: 9783959870702
Umbreit-Nr.: 2367036
Sprache:
Englisch
Umfang: 95 S., 2.86 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 06.02.2018
Auflage: 1/2018
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- In elementary Euclidean geometry, the congruent mappings play an important role already starting from the sixth grade. In the case of the composition (applying behind each other) the theorem about the mapping of three reflections is significantly. Within synthetic geometry it has been shown that (except for an assumption of richness) this theorem alone, taken as an axiom, is basis for all metric planes over a commutative field. This knowledge is already fifty years old, but it still has great significance today. This book is the translated, updated and expanded version of a German lecture note from the 1960s.The book is aimed at interested mathematicians as well as students of mathematics. In particular, it is suitable for teachers and teacher students of grammar schools and high schools as a mathematical background of geometry teaching concerning congruent mappings.