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

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dc.creatorEuler, Leonhard
dc.date2007-10-21
dc.date.accessioned2026-07-07T08:37:41Z
dc.date.available2026-07-07T08:37:41Z
dc.descriptionE731 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.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0710.3956
dc.identifierhttp://arxiv.org/abs/0710.3956
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140483
dc.subjectHistory and Overview
dc.subjectClassical Analysis and ODEs
dc.subject01A50; 49-03
dc.titleThe solution of a memorable problem by a special artifice of calculation
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