Originally published in 1927, this systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry.
Originally published in 1927, this systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Preface Introduction. Vector notation and formulae 1. Curves with torsion 2. Envelopes, developable surfaces 3. Curvilinear coordinates on a surface. Fundamental magnitudes 4. Curves on a surface 5. The equations of Gauss and of Codazzi 6. Geodesics and geodesic parallels 7. Quadric surfaces, ruled surfaces 8. Evolute or surface of centres. Parallel surfaces 9. Conformal and spherical representations. Minimal surfaces 10. Congruences of lines 11. Triply orthogonal systems of surfaces 12. Differential invariants for a surface Conclusion. Further recent advances Note 1. Directions on a surface Note 2. On the curvatures of a surface Index.
Preface Introduction. Vector notation and formulae 1. Curves with torsion 2. Envelopes, developable surfaces 3. Curvilinear coordinates on a surface. Fundamental magnitudes 4. Curves on a surface 5. The equations of Gauss and of Codazzi 6. Geodesics and geodesic parallels 7. Quadric surfaces, ruled surfaces 8. Evolute or surface of centres. Parallel surfaces 9. Conformal and spherical representations. Minimal surfaces 10. Congruences of lines 11. Triply orthogonal systems of surfaces 12. Differential invariants for a surface Conclusion. Further recent advances Note 1. Directions on a surface Note 2. On the curvatures of a surface Index.
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