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Projective Geometry - pr_237335

Projective Geometry

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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.

Product code: 9780387406237

ISBN 9780387406237
Dimensions (HxWxD in mm) H235xW155
Edition 2nd ed. 1974. 2nd printing 2003
No. Of Pages 162
Publisher Springer-Verlag New York Inc.
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.