Abstract
In the 1770s, Euler wrote a series of papers (E563, E691 and E692) about finding the ellipse with minimal area or perimeter in the family of all ellipses passing through a fixed set of points. This is a translation of all three papers from the original Latin, together with a commentary which discusses Euler's results and an appendix which addresses a question from E691 which Euler left for others to consider.
Last Page
223
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Recommended Citation
Evans, Jonathan David
(2026)
"Euler's Explorations of Extremal Ellipses,"
Euleriana: 6(2), pp.161-223.
DOI: https://doi.org/10.56031/2693-9908.1109
Available at:
https://scholarlycommons.pacific.edu/euleriana/vol6/iss2/4