This book begins at the point where Professor Barry's text 'Geometry with Trigonometry' leaves off, and develops advanced elements of plane geometry. It culminates in an account of the geometry of conics in the complex projective plane. Along the way it considers invariants of affine, projective, and complex-affine plane geometry under the various appropriate group actions. The ideas and progressive generalisations are introduced in a gradual way, and thoroughly explored at each stage. Some of these ideas go back to difficult and little-read works from the nineteenth century, and are here rescued and made more accessible. Included are many gems of plane geometry that originated with masters such as Newton, Pascal, Carnot, Simson, and Desargues, and unexpected variations on classical Greek results such as Pythagoras' Theorem. The material is almost all accessible to anyone who understands elementary plane geometry.
This book begins at the point where Professor Barry's text 'Geometry with Trigonometry' leaves off, and develops advanced elements of plane geometry. It culminates in an account of the geometry of conics in the complex projective plane. Along the way it considers invariants of affine, projective, and complex-affine plane geometry under the various appropriate group actions. The ideas and progressive generalisations are introduced in a gradual way, and thoroughly explored at each stage. Some of these ideas go back to difficult and little-read works from the nineteenth century, and are here rescued and made more accessible. Included are many gems of plane geometry that originated with masters such as Newton, Pascal, Carnot, Simson, and Desargues, and unexpected variations on classical Greek results such as Pythagoras' Theorem. The material is almost all accessible to anyone who understands elementary plane geometry.
This comprehensive guide to plane geometry is an essential resource for any student or teacher of mathematics. Covering a range of topics, including lines, angles, triangles, circles, and polygons,...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of...
This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never...
Designed for a one-semester undergraduate course, this text takes a hands-on, interactive approach to teaching plane geometry. It is self-contained, defining basic concepts from linear and abstract...
This introductory textbook covers the fundamentals of plane geometry, including Euclidean geometry and non-Euclidean geometries such as hyperbolic geometry. With clear explanations and numerous...
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