The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | H.S.M. Coxeter |
Publisher | Springer Science & Business Media |
Pages | 236 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461227348 |
Along 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 now used as an essential step in the theory of harmonic separation (§3.34). This makes the logi 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 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 non· 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.
The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | Harold Scott Macdonald Coxeter |
Publisher | |
Pages | 226 |
Release | 1961 |
Genre | |
ISBN |
The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | H. S. M. Coxeter |
Publisher | |
Pages | 0 |
Release | 2003 |
Genre | Mathematics |
ISBN | 9780758111661 |
The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | Harold S. M. Coxeter |
Publisher | |
Pages | 222 |
Release | 1993-01-01 |
Genre | Geometry, Projective |
ISBN | 9783540978893 |
Contain: Files, scenes, narrations, and projectivities for Mathematica.
The real projective plane
Title | The real projective plane PDF eBook |
Author | |
Publisher | |
Pages | 226 |
Release | 1961 |
Genre | |
ISBN |
The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | Harold Scott Macdonald Coxeter |
Publisher | |
Pages | 226 |
Release | 1961 |
Genre | |
ISBN |
Models of the Real Projective Plane
Title | Models of the Real Projective Plane PDF eBook |
Author | Francois Apery |
Publisher | Springer-Verlag |
Pages | 166 |
Release | 2013-03-09 |
Genre | Technology & Engineering |
ISBN | 3322895696 |
In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.