Geometric Constructions from an Algebraic Perspective

Author

Betzabe Bojorquez, California State University-San BernardinoFollow

Date of Award

9-2015

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Reader/Committee Chair

Dr. Giovanna Llosent

Abstract

Many topics that mathematicians study at times seem so unrelated such as Geometry and Abstract Algebra. These two branches of math would seem unrelated at first glance. I will try to bridge Geometry and Abstract Algebra just a bit with the following topics. We can be sure that after we construct our basic parallel and perpendicular lines, bisected angles, regular polygons, and other basic geometric figures, we are actually constructing what in geometry is simply stated and accepted, because it will be proven using abstract algebra. Also we will look at many classic problems in Geometry that are not possible with only straightedge and compass but need a marked ruler.

Recommended Citation

Bojorquez, Betzabe, "Geometric Constructions from an Algebraic Perspective" (2015). Electronic Theses, Projects, and Dissertations. 237.
https://scholarworks.lib.csusb.edu/etd/237