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About this product
- DescriptionAlong with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem ( 1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is w used as an essential step in the theory of harmonic separation ( 3.34). This makes the logi- cal development self-contained: the foottes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, t 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 prop- 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 n-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.
- Author(s)H. S. M. Coxeter
- PublisherSpringer-Verlag New York Inc.
- Date of Publication08/08/2013
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight373 g
- Width155 mm
- Height235 mm
- Spine13 mm
- Edition Statement3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
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