Huygens and $\pi$
Mark B. Villarino, Joseph C. Varilly
TL;DR
This paper revisits Christiaan Huygens' 1654 treatise on π, providing a modern presentation of his results and exploring historical conjectures about Archimedes' work.
Contribution
It offers a detailed modern analysis of Huygens' treatise and proposes a new historical conjecture regarding Archimedes' trisection figure.
Findings
Modern development of Huygens' results on π
New historical conjecture on Archimedes' trisection figure
Comprehensive presentation of 17th-century geometrical methods
Abstract
The Dutch scientist Christiaan Huygens refined Archimedes' celebrated geometrical computation of to its highest point. Yet the rich content of his beautiful treatise \emph{De circuli magnitudine inventa} (1654) has apparently never been presented in modern form. Here we offer a detailed and contemporary development of several of his most striking results. We also make a historical conjecture concerning Archimedes' trisection figure.
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Taxonomy
TopicsComputability, Logic, AI Algorithms