# eMath 3 Geometry (OPS03)

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## eMath 3: Geometry

The e-book is 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. You can easily write mathematics on the computer with the eMathStudio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions.
Each eMath book includes:
• 300-400 assignments + answers, in three levels of complexity
• Numerous example solutions
• Possibility to check the correctness of the calculation

Overview: This book gives an overview of the basic concepts of plane geometry, and describes the theory of triangles, general polygons, and circles. It continues with an overview of solid geometry, with applications to cylinders, cones and spheres.

1 Preface
2 Basic Concepts of Plane Geometry
2.1 Points and Lines
2.2 Angles
3 Triangles
3.1 Definition of a Triangle
3.2 Various Triangles
3.3 The Pythagorean Theorem
3.4 Special Points of a Triangle
3.5 The Trigonometry of a Right Triangle
3.6 The Laws of Sines and Cosines
4 Polygons
4.1 Definition of a Polygon
4.2 Similarity and Scale
4.3 Parallelograms and Special Cases
4.4 Regular Polygons
5 Circles
5.1 Properties of Circles and Pi
5.2 The Tangent of a Circle
5.3 Inscribed Angles
6 Basic Concepts of Solid Geometry
6.1 Cuboid
6.2 Geometric Solids in Space
6.3 An Extension of Plane Geometry to Solid Geometry
7 Cylinders
7.1 Prisms
7.2 Circular Cylinders
7.3 The Volume of Similar Solids
8 Cones
8.1 Pyramids
8.2 Cones
8.3 Frusta
9 Spheres
9.1 Basic Concepts of Spheres
9.2 Parts of a Sphere