Deductive Geometry
This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level.
The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.
1121858949
Deductive Geometry
This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level.
The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.
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Deductive Geometry

Deductive Geometry

by E.A. Maxwell
Deductive Geometry

Deductive Geometry

by E.A. Maxwell

Paperback(First)

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Overview

This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level.
The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.

Product Details

ISBN-13: 9780486802831
Publisher: Dover Publications
Publication date: 01/14/2016
Series: Dover Books on Mathematics
Edition description: First
Pages: 192
Product dimensions: 5.00(w) x 7.90(h) x 0.50(d)

About the Author

Scottish mathematician Edward Arnold Maxwell (1907–87) was a Fellow of Queen's College, Cambridge, and the author of several university-level math texts.

Table of Contents

Preface vii

Chapter 1 Introduction and Notation 1

Chapter 2 The Geometry of the Triangle 14

Chapter 3 Some Circle Theorems 27

Chapter 4 The Theorems of Ceva and Menelaus 51

Chapter 5 Harmonic Properties 57

Chapter 6 Pole and Polar 78

Chapter 7 Line and Plane 90

Chapter 8 Some Standard Solid Bodies 107

Chapter 9 Angles Between Lines and Planes 120

Chapter 10 The Sphere 130

Chapter 11 The Nature of Space 144

Chapter 12 Transformations 155

Index 175

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