Originally published in 1903, this book contains a summary of the contemporary research on the theory of line-geometry. Jessop illustrates the text with many diagrams and various examples of how line theory can be applied. This book will be of particular value to anyone with an interest in the history of mathematics.
Originally published in 1903, this book contains a summary of the contemporary research on the theory of line-geometry. Jessop illustrates the text with many diagrams and various examples of how line theory can be applied. This book will be of particular value to anyone with an interest in the history of mathematics.
Introduction 1. System of coordinates 2. The linear complex 3. Synthesis of the linear complex 4. Systems of linear complexes 5. Ruled cubic and quartic surfaces 6. The quadratic complex 7. Special varieties of the quadratic complex 8. The cosingular complexes 9. Polar lines, points, and planes 10. Representation of a complex by points of space 11. The general equation of the second degree 12. Connexion of line-geometry with sphere-geometry 13. Connexion of line-geometry with hypergeometry 14. Congruence of lines 15. Congruences of the second order without singular curves 16. The congruence of the second order and second class 17. The general complex 18. Differential equations connected with the line complex Miscellaneous results and exercises Index.
Introduction 1. System of coordinates 2. The linear complex 3. Synthesis of the linear complex 4. Systems of linear complexes 5. Ruled cubic and quartic surfaces 6. The quadratic complex 7. Special varieties of the quadratic complex 8. The cosingular complexes 9. Polar lines, points, and planes 10. Representation of a complex by points of space 11. The general equation of the second degree 12. Connexion of line-geometry with sphere-geometry 13. Connexion of line-geometry with hypergeometry 14. Congruence of lines 15. Congruences of the second order without singular curves 16. The congruence of the second order and second class 17. The general complex 18. Differential equations connected with the line complex Miscellaneous results and exercises Index.
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