The solution of a memorable problem by a special artifice of calculation

Details The solution of a memorable problem by a special artifice of calculation The solution of a memorable problem by a special artifice of calculation

2007-10-21

arxiv.org/abs/0710.3956v1

Mathematics

History and Overview

5 pages, 2 figures

Scientific paper

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 $z$ the distance from the origin, and $v$ a given function of $z$, Euler wants to find a curve $s$ such that the integral of $z$ over $s$ is a maximum or a minimum. He starts with the Euler-Lagrange equation, and does a lot of manipulations with polar coordinates.

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