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

@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.}, archivePrefix = {arXiv}, author = {Euler, Leonhard}, citeulike-article-id = {3036247}, citeulike-linkout-0 = {http://arxiv.org/abs/0710.3956}, citeulike-linkout-1 = {http://arxiv.org/pdf/0710.3956}, day = {21}, eprint = {0710.3956}, keywords = {available-in-tex-format, calculus-of-variations, historical-work, mathematics}, month = {Oct}, posted-at = {2008-07-23 08:35:14}, priority = {2}, title = {The solution of a memorable problem by a special artifice of calculation}, url = {http://arxiv.org/abs/0710.3956}, year = {2007} }

TY - ELEC ID - citeulike:3036247 L3 - citeulike-article-id:3036247 N2 - 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. TI - The solution of a memorable problem by a special artifice of calculation KW - available-in-tex-format KW - calculus-of-variations KW - historical-work KW - mathematics AU - Euler, Leonhard PY - 2007/Oct/21/ UR - http://arxiv.org/abs/0710.3956 ER -