%0 Generic %1 citeulike:3036247 %A Euler, Leonhard %D 2007 %K Vor1850 available-in-tex-format calculus-of-variations mathematics pre1850 %T The solution of a memorable problem by a special artifice of calculation %U http://arxiv.org/abs/0710.3956 %X 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.

@misc{citeulike:3036247, 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 \$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.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/25072946e2c74dff9e9324cacfcaffab6/rwst}, citeulike-article-id = {3036247}, citeulike-linkout-0 = {http://arxiv.org/abs/0710.3956}, citeulike-linkout-1 = {http://arxiv.org/pdf/0710.3956}, description = {my bookmarks from citeulike}, eprint = {0710.3956}, interhash = {cb880699db617c82f2dbae0203e51d0c}, intrahash = {5072946e2c74dff9e9324cacfcaffab6}, keywords = {Vor1850 available-in-tex-format calculus-of-variations mathematics pre1850}, month = Oct, posted-at = {2008-07-23 08:35:14}, priority = {2}, timestamp = {2009-08-05T17:08:35.000+0200}, title = {The solution of a memorable problem by a special artifice of calculation}, url = {http://arxiv.org/abs/0710.3956}, year = 2007 }