Inversive Geometry

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Author(s): Frank Morley, F. V. Morley
Publisher: G. Bell and Sons, London
Year: 1933

Language: English
Pages: 273

Preface......Page 3
CONTENTS......Page 5
CH I. OPERATIONS OF ELEMENTARY GEOMETRY......Page 11
CH II. ALGEBRA......Page 22
CH III. THE EUCLIDEAN GROUP......Page 34
CH IV. INVERSIONS......Page 48
CH V. QUADRATICS......Page 62
CH VI. THE INVERSIVE GROUP OF THE PLANE......Page 73
CH VII. FINITE INVERSIVE GROUPS......Page 85
CH VIII. PARABOLIC, HYPERBOLIC, AND ELLIPTIC GEOMETRIES......Page 97
CH IX. THE CELESTIAL SPHERE......Page 107
CH X. FLOW......Page 127
CH XI. DIFFERENTIAL GEOMETRY......Page 140
CH XII. THE LINE AND THE CIRCLE......Page 161
CH XIII. REGULAR POLYGONS......Page 176
CH XIV. MOTIONS......Page 187
CH XV. THE TRIANGLE......Page 196
CH XVI. INVARIANTS UNDER HOMOLOGIES......Page 211
CH XVII. RATIONAL CURVES......Page 229
CH XVIII. CONICS......Page 238
CH XIX. THE CARDIOID AND THE DELTOID......Page 249
CH XX. CREMONA TRANSFORMATIONS......Page 258
CH XXI. THE n-LINE......Page 269
INDEX......Page 283