## Kuvaus

## eMath 4: Analytic geometry

- 300-400 assignments + answers, in three levels of complexity
- Numerous example solutions
- Possibility to add comments and highlight text
- Possibility to check the correctness of the calculation

**Overview:** This book introduces the basic notions of analytic geometry with the cartesian coordinate system. It shows how to describe lines as equations, and how to determine properties of lines, like intersection, orthogonality, distance from points and angles between lines. The book shows how to define and analyse properties of parabolas, circles and other conic sections.

### Table of contents:

** 1 Preface**

**2 Absolute Value**

2.1 Definition of Absolute Value

2.2 Absolute Value of an Expression

2.3 Absolute Value Equations

2.4 Absolute Value Inequalities

**3 Cartesian Coordinate Systems and Equations in the Coordinate System**

3.1 Coordinates of a Point

3.2 The Equation of a Curve

3.3 The Line

**4 Properties of the Line**

4.1 Points of Intersection between Lines

4.2 Orthogonality

4.3 Distance between a Point and a Line

4.4 The Angle between Lines

**5 Sets of Simultaneous Linear Equations**

5.1 Simultaneous Equations

5.2 Inequalities

5.3 Linear Optimization

**6 Parabola**

6.1 The Equation of a Parabola in Standard Form

6.2 Definition of a Parabola

6.3 The Equation of a Parabola in Vertex Form

**7 Circle**

7.1 The Equation of a Circle

7.2 Points of Intersection

**8 Conic Sections**