20 citations · 67 across the 51 of their papers we have counts for
52 papers
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…
On solids whose (entire) surface can be unfolded onto a plane
Leonhard Euler, Alexander Aycock
This is the English translation of Leonhard Euler's Latin paper "De solidis quorum superficiem in planum explicare licet". Euler explains several methods to obtain equations for de…
Observations on continued fractions
Leonhard Euler, Alexander Aycock
This is a translation of Euler's Latin paper "De fractionibus continuis observationes" into English. In this paper Euler describes his theory of continued fractions. He teaches, ho…
On divergent Series
Leonhard Euler, Alexander Aycock
This is the translation of Leonhard Euler's paper "De Seriebus divergentibus" written in Latin into English. Leonhard Euler defines and discusses divergent series. He is especially…
Theoremata arithmetica nova methodo demonstrata
Leonhard Euler, Artur Diener, Alexander Aycock
Euler presents a third proof of the Fermat theorem, the one that lets us call it the Euler-Fermat theorem. This seems to be the proof that Euler likes best. He also proves that the…
Methodus succincta summas serierum infinitarum per formulas differentiales investigandi
Leonhard Euler, Artur Diener, Alexander Aycock
This paper has more formal series with Bernoulli numbers and the Riemann zeta function. He gives the generating function for the Bernoulli numbers. The paper is translated from the…