Parametric proofs of the Pythagorean theorem via ziggurats and pyramids
General Mathematics
2025-11-04 v1
Abstract
We propose two new proofs of the Pythagorean theorem via area rearrangement arguments starting from very simple geometric configurations. The constructions depend on an angular parameter, each choice of which yields a proof. For specific values of the parameter, we recover some classical and more recent proofs.
Cite
@article{arxiv.2511.00089,
title = {Parametric proofs of the Pythagorean theorem via ziggurats and pyramids},
author = {Andrés Navas},
journal= {arXiv preprint arXiv:2511.00089},
year = {2025}
}
Comments
11 pages, 15 figures