Physics - Quadratic Surfaces

Quadric Surfaces

Preamble.

Chapter 1. Introduction

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)

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

Chapter 9. Bounds of a Quadric Surface

9.1	An Easy Ellipsoid
9.2	Three More Difficult Examples
9.3	Bounds of a Paraboloid