A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, 2006 To book contents

4. Analytic Geometry

• 4.1. Points, Segments, and Coordinates on Line and Plane
  • 4.1.1. Coordinates on Line
  • 4.1.2. Coordinates on Plane
  • 4.1.3. Points and Segments on Plane
• 4.2. Curves on Plane
  • 4.2.1. Curves and Their Equations
  • 4.2.2. Main Problems of Analytic Geometry for Curves
• 4.3. Straight Lines and Points on Plane
  • 4.3.1. Equations of Straight Lines on Plane
  • 4.3.2. Mutual Arrangement of Points and Straight Lines
• 4.4. Second-Order Curves
  • 4.4.1. Circle
  • 4.4.2. Ellipse
  • 4.4.3. Hyperbola
  • 4.4.4. Parabola
  • 4.4.5. Transformation of Second-Order Curves to Canonical Form
• 4.5. Coordinates, Vectors, Curves, and Surfaces in Space
  • 4.5.1. Vectors. Cartesian Coordinate System
  • 4.5.2. Coordinate Systems
  • 4.5.3. Vectors. Products of Vectors
  • 4.5.4. Curves and Surfaces in Space
• 4.6. Line and Plane in Space
  • 4.6.1. Plane in Space
  • 4.6.2. Line in Space
  • 4.6.3. Mutual Arrangement of Points, Lines, and Planes
• 4.7. Quadric Surfaces (Quadrics)
  • 4.7.1. Quadrics (Canonical Equations)
  • 4.7.2. Quadrics (General Theory)
• References for Chapter 4

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