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<text>1. Plane Curves &#xa;2. The Cylinder, the Cone, the Conic Sections and Their Surfaces of Revolution &#xa;3. The Second-Order Surfaces &#xa;4. The Thread Construction of the Ellipsoid, and Confocal Quadrics &#xa;Appendices &#xa; 1. The Pedal-Point Construction of the Conics &#xa; 2. The Directrices of the Conics &#xa; 3. The Movable Rod Model of the Hyperboloid </text>
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<text>1. The Pedal-Point Construction of the Conics &#xa;2. The Directrices of the Conics &#xa;3. The Movable Rod Model of the Hyperboloid </text>
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<text>5. Plane Lattices &#xa;6. Plane Lattices in the Theory of Numbers &#xa;7. Lattices in Three and More than Three Dimensions &#xa;8. Crystals as Regular Systems of Points &#xa;9. Regular Systems of Points and Discontinuous Groups of Motions &#xa;10. Plane Motions and their Composition &#xa; Classification of the Discontinuous Groups of Motions in the Plane &#xa;11. The Discontinuous Groups of Plane Motions with Infinite Unite Cells &#xa;12. The Crystallographic Groups of Motions in the Plane. &#xa; Regular Systems of Points and Pointers. &#xa; Division of the Plane into Congruent Cells &#xa;13. Crystallographic Classes and Groups of Motions in Space. &#xa; Groups and Systems of Points with Bilateral Symmetry &#xa;14. The Regular Polyhedra</text>
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<text>15. Preliminary Remarks about Plane Configurations &#xa;16. The Configurations (7_3) and (8_3) &#xa;17. The Configurations (9_3) &#xa;18. Perspective, Ideal Elements, and the Principle of Duality in the Plane &#xa;19. Ideal Elements and the Principle of Duality in Space. &#xa; Desargues&apos; Theorem and &#xa; The Desargues Configuration (10_3) &#xa;20. Comparison of Pascal&apos;s and Desargues Theorems &#xa;21. Preliminary Remarks on Configurations in Space &#xa;22. Reye&apos;s Configuration &#xa;23. Regular Polyhedra in Three and Four Dimensions, and their Projections &#xa;24. Enumerative Methods of Geometry &#xa;25. Schiafli&apos;s Double-Six </text>
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<text>44. Polyhedra &#xa;45. Surfaces &#xa;46. One-Sided Surfaces &#xa;47. The Projective Plane as a Closed Surface &#xa;49. Topological Mappings of a Surface onto Itself &#xa; Fixed Points. &#xa; Classes of Mappings. &#xa; The Universal Covering Surface of the Torus &#xa;50. Conformal Mapping of the Torus &#xa;51. The Problem of Contiguous Regions, &#xa; The Thread Problem &#xa; The Color Problem &#xa;Appendices &#xa; 1. The Projective Plane in Four-Dimensional Space &#xa; 2. The Euclidean Plane in Four-Dimensional Space </text>
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<text>26. Plane Curves &#xa;27. Space Curves &#xa;28. Curvature of Surfaces &#xa; Elliptic, Hyperbolic, and Parabolic Points. &#xa; Lines of Curvature and Asymptotic Lines. &#xa; Umbilical Points, Minimal Surfaces, Monkey Saddles &#xa;29. The Spherical Image and Gaussian Curvature &#xa;30. Developable Surfaces, Ruled Surfaces &#xa;31. The Twisting of Space Curves &#xa;32. Eleven Properties of the Sphere &#xa;33. Bendings Leaving a Surface Invariant &#xa;34. Elliptic Geometry &#xa;35. Hyperbolic Geometry &#xa; and its Relation to Euclidean and to Elliptic Geometry &#xa;36. Stereographic Projection and Circle-Preserving Transformations &#xa; Poincare&apos;s Model of the Hyperbolic Plane &#xa;37. Methods of Mapping &#xa; Isometric, Area-Preserving, Geodesic, Continuous and Conformal Mappings &#xa;38. Geometrical Function Theory &#xa; Riemann&apos;s Mapping Theorem. &#xa; Conformal Mapping in Space &#xa;39. Conformal Mappings of Curved Surfaces &#xa; Minimal Surfaces. &#xa; Plateau&apos;s Problem</text>
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