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.
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.
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
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
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