2 papers
math.HO2025
Euler's explorations of extremal ellipses
Leonhard Euler, Jonathan David Evans
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 se…
math.HO2025
On Amicable Numbers
Leonhard Euler, Jonathan David Evans
This is an English translation of Euler's 1750 paper "De numeris amicabilibus" (E152), the most substantial of his three works with this name. In it, he expounds at great length th…