From Plato's Rational Diameter to Proclus' Elegant Theorem
History and Overview
2023-01-02 v4
Abstract
We debate, departing from 2-3 readings of a single sentence in Proclus' Commentary to Plato's Republic, the plausibility of a rigorous (inductive) arithmetical derivation of an infinite sequence of pairs of side and diameter numbers by Proclus.
Cite
@article{arxiv.2011.07335,
title = {From Plato's Rational Diameter to Proclus' Elegant Theorem},
author = {George Baloglou and Yannis Thomaidis},
journal= {arXiv preprint arXiv:2011.07335},
year = {2023}
}
Comments
40 pages, 8 figures -- small changes, Appendix IV added 12/30/2022