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Quadric Surfaces
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Quadric Surfaces
Preamble.
Chapter 1. Introduction
1.1 | Quadric Surfaces |
1.2 | Direction Cosines |
1.3 | Rotation of Coordinate Axes |
Chapter 2. Planes and Straight Lines
2.1 | Introduction |
2.2 | The Equation to a Plane |
2.3 | Distance from the Origin to a Plane |
2.4 | Distance from a Arbitrary Point to a Plane |
2.5 | Two Parallel Planes |
2.6 | Two Planes, not necessarily Parallel |
2.7 | Three Planes |
2.8 | Straight Lines |
2.9 | Finding a Meteorite |
2.10 | The Widmanstätten Pattern |
2.11 | An Exploding Meteoroid |
Chapter 3. Ellipsoids and Hyperboloids (Central Quadrics)
3.1 | Ellipsoid |
3.2 | Hyperboloid of One Sheet |
3.3 | Hyperboloid of Two Sheets |
Chapter 4. Paraboloids
4.1 | Circular and Elliptic Paraboloids |
4.2 | Hyperbolic Paraboloid |
Chapter 5. General Quadratic Equation, Part I. Central Quadrics
5.1 | Introduction |
5.2 | Translation of Coordinate Axes |
5.3 | Rotation of Coordinate Axes. Ellipsoids and Hyperboloids |
5.4 | Cones. General Homogeneous Quadratic Equation in Three Variables |
5.A | (Appendix) Solution of the Equations |
Chapter 6. General Quadratic Equation, Part II. Non-central Surfaces. Planes
6.1 | Introduction |
6.2 | Two Planes |
Chapter 7. General Quadratic Equation, Part III. Non-central Surfaces. Paraboloids
7.1 | An Elliptic Paraboloid |
7.2 | A Hyperbolic Paraboloid |
7.A | (Appendix) Solution of the Equations |
Chapter 8. General Quadratic Equation, Part IV. Cylinders and Other Possibilities
8.1 | Cylinders |
8.2 | A Straight Line |
8.3 | Nothing |
Chapter 9. Bounds of a Quadric Surface
9.1 | An Easy Ellipsoid |
9.2 | Three More Difficult Examples |
9.3 | Bounds of a Paraboloid |
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