Geometry, Euclid, Western history, Ancient Greece
Geometry and Topology | History | History of Science, Technology, and Medicine | Mathematics
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
Arends, J. (2008). Why Didn't Euclid Think of That?: The History and Development of Geometry in the Western World (Undergraduate honors thesis, University of Redlands). Retrieved from https://inspire.redlands.edu/cas_honors/511
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License