Overview
- Authors:
-
-
H. S. M. Coxeter
-
Department of Mathematics, University of Toronto, Toronto, Canada
-
George Beck
-
Toronto, Canada
Access this book
Other ways to access
Table of contents (12 chapters)
-
-
- H. S. M. Coxeter, George Beck
Pages 1-11
-
- H. S. M. Coxeter, George Beck
Pages 12-24
-
- H. S. M. Coxeter, George Beck
Pages 25-38
-
- H. S. M. Coxeter, George Beck
Pages 39-54
-
- H. S. M. Coxeter, George Beck
Pages 55-72
-
- H. S. M. Coxeter, George Beck
Pages 73-91
-
- H. S. M. Coxeter, George Beck
Pages 92-104
-
- H. S. M. Coxeter, George Beck
Pages 105-125
-
- H. S. M. Coxeter, George Beck
Pages 126-146
-
- H. S. M. Coxeter, George Beck
Pages 147-154
-
- H. S. M. Coxeter, George Beck
Pages 155-168
-
- H. S. M. Coxeter, George Beck
Pages 169-199
-
Back Matter
Pages 200-227
About this book
Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (ยง1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (ยง3.34). This makes the logiยญ cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the propยญ erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to nonยท Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.
Authors and Affiliations
-
Department of Mathematics, University of Toronto, Toronto, Canada
H. S. M. Coxeter
-
Toronto, Canada
George Beck