Up: The Hyperbolic Geometry Exhibit

Table of Contents

Euclidean Geometry
- Introduction/Axioms
  - History of the Parallel postulate
- Isometries
  - Reflection
  - Translation
  - Glide Reflection
  - Rotation
- Isometries As Products of Reflections
  - Translation
  - Glide Reflection
  - Rotation
  - Composition
HYPERBOLIC GEOMETRY
- Introduction
- Models
  - Introduction and Definitions
  - Poincaré Disk
    - Angle Measure
    - Applet
    - Equations
  - Upper Half Plane
    - Angle Measure
    - Applet
    - Equations
  - Klein-Beltrami
    - Angle Measure
    - Equations
  - Minkowski
    - Angle Measure
    - Equations
  - The Minkowski Model and Special Relativity
    - ????
- Isometries Between Models
  - Introduction
  - Poincaré <--> Upper Half Plane
    - Equations
  - Poincaré <--> Klein-Beltrami
    - Equations
  - Minkowski <--> Klein-Beltrami>
    - Equations
  - Klein-Beltrami <--> Upper Half Plane
    - Equations
  - Minkowski <--> Poincaré
    - Equations
- Isometries in Models
  - Poincaré
    - Introduction
    - Circle Inversion
    - Hyperbolic
    - Parabolic
    - Elliptic
    - Applet
    - Equations - matrices
  - Upper Half Plane
    - Introduction
    - Circle Inversion
    - Hyperbolic
    - Parabolic
    - Elliptic
    - Applet
    - Equations
  - Klein-Beltrami
    - Introduction
    - Reflection
    - Hyperbolic
    - Parabolic
    - Elliptic
    - Equations - Moebius transformations
- Hyperbolic Trigonometry
  - Sine and Cosine Laws
  - Area
- Related Topics
- Bibliography

Up: The Hyperbolic Geometry Exhibit

Created: Jul 15 1996 --- Last modified: Jul 15 1996