Foreword; Introduction; Part 1. Chapter 1. The Coordinates of Points on a Line 1. The Number Axis 2. The Absolute Value of a Number 3. The Distance Between Two PointsChapter 2. The Coordinates of Points in the Plane 4. The Coordinate Plane 5. Relations Connecting Coordinates 6. The Distance Between Two Points 7. Defining Figures 8. We Begin to Solve Problems 9. Other Systems of CoordinatesChapter 3. The Coordinates of a Point in Space 10. Coordinate Axes and Planes 11. Defining Figures in Space Part 2. Chapter 1. Introduction 1. Some General Considerations 2. Geometry as an Aid in Calculation 3. The Need for Introducing Four-Dimensional Space 4. The Peculiarities of Four-Dimensional Space 5. Some PhysicsChapter 2. Four-Dimensional Space 6. Coordinate Axes and Planes 7. Some ProblemsChapter 3. The Four-Dimensional Cube 8. The Definition of the Sphere and the Cube 9. The Definition of the Sphere and the Cube 10. Problems on the Cube