A Concept Map for Book 1 of Euclid's Elements

Alexander Boxer and Justace Clutter
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 403–406 Short Papers


Book 1 of Euclid's Elements begins with just a few simple assumptions and culminates in a profound statement about our universe — the Pythagorean Theorem. We have created a concept map of Book 1 designed to illustrate graphically this remarkable logical sequence. We hope that our effort, although preliminary, will be of interest to math teachers, devotees of the history of math, and anyone who deals with the graphical display of relational data.