The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates

Edwin Arthur Maxwell

The University Press, 1946 - Geometry, Projective - 230 pages

Contents

• Determinants 2 Infinite values 3 Reality: 1
• Duality 10 Linecoordinates 11 The equation of a point 12 Lines: 9
• Oneone Algebraic Correspondence: 21
• The Hessian points of a triad: 33
• Miscellaneous Examples II: 42
• Crossratio and Harmonic Ranges: 43
• Parabolic projectivity: 49
• To prove that if A A B B C C are three pairs of distinct: 55
• Examples IV: 68
• Special Forms of Equation: 93
• A triangle XYZ is selfpolar with respect to a conic S: 99
• Correspondence on a Conic: 111
• Alternative proof of Chap VI Illustration 8: 120
• Quadrilateral Quadrangle and related: 125
• Miscellaneous Examples VIII: 137
• The polars of a point with respect to the conics of a pencil: 151
• Miscellaneous Examples X: 166
• Miscellaneous Examples X: 170
• Miscellaneous Examples X: 176
• The bisectors of the angles between two lines: 188
• Problem generalised and then solved in the projective plane: 202
• First method The circular points given by their equation in linecoordinates: 203
• Miscellaneous Examples XII: 209
• Miscellaneous Examples XII: 215
• ANSWERS TO THE EXAMPLES: 222

Bibliographic information

• Title: The Methods of Plane Projective Geometry Based on the Use of General Homogeneous Coordinates
• Author: Edwin Arthur Maxwell
• Publisher: The University Press, 1946
• Length: 230 pages