Comparing angles in Euclid's Elements
History and Overview
2024-04-04 v1
Abstract
The exposition in Euclid's Elements contains an obvious gap (seemingly unnoticed by most commentators): he often compares not just angles, but *groups* of angles, and at the same time he avoids summing angles (and considering angles greater than ), and does not say what such a comparison of groups could mean. We discuss the problem and suggest a possible interpretation that could make Euclid's exposition consistent.
Cite
@article{arxiv.2404.02272,
title = {Comparing angles in Euclid's Elements},
author = {Alexander Shen},
journal= {arXiv preprint arXiv:2404.02272},
year = {2024}
}