The solution of a memorable problem by a special artifice of calculation
History and Overview
2007-10-23 v1 Classical Analysis and ODEs
Abstract
E731 in the Enestrom index. Originally published as "Solutio problematis ob singularia calculi artificia memorabilis", Memoires de l'academie des sciences de St-Petersbourg 2 (1810), 3-9. For the distance from the origin, and a given function of , Euler wants to find a curve such that the integral of over is a maximum or a minimum. He starts with the Euler-Lagrange equation, and does a lot of manipulations with polar coordinates.
Keywords
Cite
@article{arxiv.0710.3956,
title = {The solution of a memorable problem by a special artifice of calculation},
author = {Leonhard Euler},
journal= {arXiv preprint arXiv:0710.3956},
year = {2007}
}
Comments
5 pages, 2 figures