Work

Comparing angles in Euclid's Elements

Year: 2024

Type: preprint

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 $π$), 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2404.02272

Author: Shen, Alexander

Institutions: Centre National de la Recherche Scientifique, Université de Montpellier, Laboratoire d'Informatique, de Robotique et de Microélectronique de Montpellier

Language: English

Topic: History and Theory of Mathematics

Subfield: Theoretical Computer Science

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4393968022

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