Geometry Revisited
Title | Geometry Revisited PDF eBook |
Author | H. S. M. Coxeter |
Publisher | American Mathematical Society |
Total Pages | 193 |
Release | 2021-12-30 |
Genre | Mathematics |
ISBN | 1470466414 |
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Introduction to Geometry
Title | Introduction to Geometry PDF eBook |
Author | Harold Scott Macdonald Coxeter |
Publisher | |
Total Pages | 469 |
Release | 1989 |
Genre | |
ISBN |
Numbers and Shapes Revisited
Title | Numbers and Shapes Revisited PDF eBook |
Author | Judita Cofman |
Publisher | |
Total Pages | 334 |
Release | 1995 |
Genre | Education |
ISBN |
By focusing attention on the links between patterns of numbers and shapes, and on connections between algebraic relations and geometric and combinatorial configurations, the book aims to motivate deeper study of the concepts related to elementary mathematics, emphasize the importance of the interrelations between mathematical phenomena, and foster the interplay of ideas involved in problem solving.
The Real Projective Plane
Title | The Real Projective Plane PDF eBook |
Author | H.S.M. Coxeter |
Publisher | Springer Science & Business Media |
Total 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 Four Pillars of Geometry
Title | The Four Pillars of Geometry PDF eBook |
Author | John Stillwell |
Publisher | Springer Science & Business Media |
Total Pages | 240 |
Release | 2005-08-09 |
Genre | Mathematics |
ISBN | 0387255303 |
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Famous Problems of Geometry and How to Solve Them
Title | Famous Problems of Geometry and How to Solve Them PDF eBook |
Author | Benjamin Bold |
Publisher | Courier Corporation |
Total Pages | 144 |
Release | 2012-05-11 |
Genre | Science |
ISBN | 0486137635 |
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Advanced Euclidean Geometry
Title | Advanced Euclidean Geometry PDF eBook |
Author | Roger A. Johnson |
Publisher | Courier Corporation |
Total Pages | 338 |
Release | 2013-01-08 |
Genre | Mathematics |
ISBN | 048615498X |
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.