Two-part treatment discusses coordinates of points on a line, coordinates of points in a plane, coordinates of points in space, and peculiarities of four-dimensional space. Abundance of ingenious problems.
Inhaltsverzeichnis
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 Points
Chapter 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 Coordinates
Chapter 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 Physics
Chapter 2. Four-Dimensional Space
6. Coordinate Axes and Planes
7. Some Problems
Chapter 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
