Geometric Constructions from an Algebraic Perspective

<p>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.</p>

Name thesis:degree_name

Master of Arts in Mathematics

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2015

Author dc:creator

• Bojorquez, Betzabe

Contributors dc:contributor

• Dr. Giovanna Llosent

• geometric constructions
• abstract algebra
• classical geometry problems
• Algebra
• Other Mathematics
• Other Physical Sciences and Mathematics

Repository record dc:identifier

https://scholarworks.lib.csusb.edu/etd/237

OAI identifier oai:identifier

oai:scholarworks.lib.csusb.edu:etd-1265