Publication Year

2008

Keywords

Geometry, Euclid, Western history, Ancient Greece

Disciplines

Geometry and Topology | History | History of Science, Technology, and Medicine | Mathematics

Abstract

The subject of geometry has been in existence around the world for thousands of years and is a topic that continues to be taught in high school classrooms around the world today. When one thinks about geometry, the name Euclid and concepts such as proving triangles are congruent and examining properties of parallel lines usually come to mind. In fact, most of what is taught in the education system today can be found in Euclid's Elements, a compilation of what was known about geometry up until around 300 B.C.E. But what has become of geometry in the Western world cultures that lasted for hundreds of years? This project investigates the origins of geometry in the Western world and its significance throughout history. In particular, it examines several important theorems and their proofs are based on ideas found in the Elements. This paper not only shows how geometry has developed up until this present time but also gives the reader a brief account of how geometry is expanding today and where it is heading in the future.

Department 1 Awarding Honors Status

Mathematics

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

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