Reflections, Rotations and the Sextant (UMAP)

This module applies geometry to the topic of navigation. It focuses on the navigational instrument, the sextant.

Table of Contents:

1. INTRODUCTION

2. PROPERTIES OF REFLECTIONS
2.1 Reflections Preserve Length
2.2 Reflections Preserve Angle Measure

3. THE RELATIONSHIP BETWEEN REFELCTIONS AND ROTATIONS
3.1 Rotations Preseve Length and Angle Measure
3.2 Obtaining Rotations from Reflections
3.3 Reflection of a Point in Two Intersecting Lines Rotates the Point Through an Angle which has Twice the Measure of the Angle Between the Lines
3.4 Reflection of a Ray in Two Intersecting Planes Rotates the Ray Through an Angle which has Twice the Measure of the Angle Between the Planes

4. THE SEXTANT
4.1 Description
4.2 How Does the Sextant Work?

5. ANSWERS TO PROBLEMS

6. BIBLIOGRAPHY