Up: The Hyperbolic Geometry Exhibit
Euclidean Geometry
This site provides as motivational introduction to geometry in a form
(Euclidean) which is more accessible than non-Euclidean geometries.
Here we will establish definitions and concepts that we can
apply, via analogy, to our discussion of hyperbolic geometry.
This overview includes:
- A brief history of the parallel
postulate. A familiarity with the parallel postulate is
especially important as it is those geometries formed under the
negation of Hilbert's parallel postulate that we define as
hyperbolic geometries.
- Isometries of the plane.
- Reflection
- Translation
- Glide Reflection
- Rotation
- Isometries as products of
reflections.
Table of Contents
Up: The Hyperbolic Geometry Exhibit
Created: Jul 15 1996 ---
Last modified: Jul 15 1996