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.
By:
H.S.M. Coxeter Imprint: Springer Verlag Country of Publication: United States Edition: 2nd ed. 1974. 2nd printing Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 9mm
Weight: 570g ISBN:9780387406237 ISBN 10: 0387406239 Pages: 174 Publication Date:01 February 2004 Audience:
General/trade
,
Professional and scholarly
,
College/higher education
,
ELT Advanced
,
Undergraduate
Format:Paperback Publisher's Status: Active