Projective Geometry by Hsm Coxeter

Projective Geometry by Hsm Coxeter

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Summary

In Euclidean geometry, constructions are made with ruler and compass. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.

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Projective Geometry by Hsm Coxeter

In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, repectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.

Harold Scott MacDonald Donald Coxeter, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, Coxeter is regarded as one of the twentieth century's greatest geometers. He was born in London and earned his BA and PhD from Cambridge, but he moved to Canada when he was 29 years old.

SKU Unavailable
ISBN 13 9780387406237
ISBN 10 0387406239
Title Projective Geometry
Author Hsm Coxeter
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2003-10-09
Number of pages 162
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable