RecordNumber
3696
Author
Atkinson, Jesse
Crop_Body
Jesse Atkinson
Title of Article
The Pythagorean Theorem as a Rooted In-tree Dependency Graph
Title Of Journal
Bridges
Publication Year
2016
Abstract
We look back to concept and dependency graphs of Euclid’s Elements, Book 1, that show the deductive relationships
among its propositions. We claim that Book 1 does not have one overall coherent structure but rather is organized
around two propositions—1.45 and 1.47. In other words, Book 1 has a dual core. For the latter proposition, the
Pythagorean Theorem, we constructed a rooted in-tree graph to help visualize its role and proof.