2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140483E731 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.5 pages, 2 figuresHistory and OverviewClassical Analysis and ODEs01A50; 49-03text