eMath 4 premium


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eMath 4: Analytic geometry

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The ebooks are structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book.
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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