The Pythagorean Theorem as a Rooted In-tree Dependency Graph

Year: 2016 Authors: Jesse Atkinson

Core claim

A rooted in-tree dependency graph shows that the Pythagorean Theorem is one of Book 1’s two essential cores, rather than the sole organizing principle.

Topics

Euclid’s Elements Book 1, dependency graphs, Pythagorean Theorem, proof structure, concept art

Domains

Euclidean geometry, proof theory, graph theory, deductive systems, concept art, 3-D sculpture, data visualization, mathematics and art

Methods

hand-generated dependency graph, 3-D rendering, rooted in-tree graph, Excel bar graphs

Media

myrtle or pine wood balls, 8 inch brass rods, 3-D sculpture, R software

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.