The hyperboloid model of hyperbolic geometry

Author

Zachery S. Lane Solheim, Eastern Washington University

Date of Award

2012

Rights

Access is available to all users

Document Type

Thesis

Degree Name

Master of Science (MS) in Mathematics

Department

Mathematics

Abstract

"The main goal of this thesis is to introduce and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time is spent on Neutral Geometry as well as Euclidean Geometry; these are used to build several models of Hyperbolic Geometry. At this point the hyperboloid model is introduced, related to the other models visited, and developed using some concepts from physics as aids. After the development of the hyperboloid model, Fuchsian groups are briefly discussed and the more familiar models of Hyperbolic Geometry are further investigated"--Document.

Comments

Typescript. Vita.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Recommended Citation

Solheim, Zachery S. Lane, "The hyperboloid model of hyperbolic geometry" (2012). EWU Masters Thesis Collection. 240.
https://dc.ewu.edu/theses/240