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Analytic geometry
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York,
Academic Press
[1971]
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Analytic Geometry; Copyright Page; Dedication; Table of Contents; Preface; Chapter 1. THE COORDINATE SYSTEM-FUNDAMENTAL RELATIONS; 1-1. Introduction; 1-2. Directed Lines; 1-3. Cartesian Coordinates; 1-4. Projections of a Line Segment on Horizontal and Vertical Lines; 1-5. Point of Division on a Line Segment; 1-6. Distance between Two Points; 1-7. Slope of a Line; 1-8. Parallel and Perpendicular Lines; 1-9. Angle Formed by Intersecting Lines; 1-10. Analytic Proofs of Geometric Theorems; Chapter 2. THE STRAIGHT LINE; 2-1. Equation and Locus; 2-2. The Graph of an Equation
- 2-3. The Graph of a Linear Equation2-4. The Point-Slope Equation; 2-5. The Two-Point Equation; 2-6. The Slope-Intercept Equation; 2-7. The First-Degree Equation; 2-8. Intersection of Lines; 2-9. The Normal Equation of the Straight Line; 2-10. Distance from a Line to a Point; 2-11. Families of Lines; 2-12. Families of Lines through the Intersection of Two Lines; Chapter 3. GRAPHS OF NONLINEAR EQUATIONS; 3-1. Introduction; 3-2. Intercepts; 3-3. Symmetry; 3-4. Extent; 3-5. Horizontal and Vertical Asymptotes; 3-6. Graphing Equations; Chapter 4. TRANSFORMATION OF COORDINATES; 4-1. Introduction
- 7-3. Invariants and IdentificationChapter 8. PARAMETRIC EQUATIONS; 8-1. Some Basic Concepts; 8-2. Parametric Representation-Introduction; 8-3. Parametric Representation-Some Examples; Chapter 9. POLAR COORDINATES; 9-1. Introduction; 9-2. Definitions; 9-3. Sketching Polar Curves; 9-4. Intersection of Polar Curves; 9-5. Polar Equations of the Conies; Chapter 10. RECTANGULAR COORDINATES INTHREE DIMENSIONS; 10-1. The Coordinate System; 10-2. The Distance Formula; 10-3. Planes Parallel to the Coordinate Planes; 10-4. Directions on a Line; Chapter 11. SURFACES AND CURVES; 11-1. Introduction
- 11-2. Traces and Sections11-3. Intercepts and Symmetry; 11-4. Sketching Surfaces; 11-5. Cylindrical Surfaces; 11-6. Projections of Curves on the Coordinate Planes; 11-7. Surfaces of Revolution; 11-8. Cylindrical Coordinates; 11-9. Spherical Coordinates; Chapter 12. LINES AND PLANES; 12-1. Parametric Equations of a Line; 12-2. Symmetric Equations of a Line; 12-3. The Plane; 12-4. Distance from a Point to a Plane; 12-5. More about Lines; ANSWERS TO ODD-NUMBERED EXERCISES; INDEX; Trigonometrie Functions