%0 Generic %1 citeulike:3036234 %A Euler, Leonhard %D 2008 %K Vor1800 available-in-tex-format calculus-of-variations mathematics pre1800 %T A more accurate treatment of the problem of drawing the shortest line on a surface %U http://arxiv.org/abs/0801.0897 %X E727 in the Enestrom index. This is a translation from the Latin original Äccuratior evolutio problematis de linea brevissima in superficie quacunque ducenda" (1779). Given a surface \$pdx+qdy+rdz=0\$, Euler wants to develop equations that give the geodesics on this surface. I am new to the calculus of variations, so it is not clear to me what steps follow from results that are previously known (like the Euler-Lagrange equation in the calculations) and what steps follow from earlier in this paper. I would appreciate comments from any readers who are familiar with calculus of variations.

@misc{citeulike:3036234, abstract = {E727 in the Enestrom index. This is a translation from the Latin original "Accuratior evolutio problematis de linea brevissima in superficie quacunque ducenda" (1779). Given a surface \$pdx+qdy+rdz=0\$, Euler wants to develop equations that give the geodesics on this surface. I am new to the calculus of variations, so it is not clear to me what steps follow from results that are previously known (like the Euler-Lagrange equation in the calculations) and what steps follow from earlier in this paper. I would appreciate comments from any readers who are familiar with calculus of variations.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/2caaa0f316c83baf3d7a3157a31aed869/rwst}, citeulike-article-id = {3036234}, citeulike-linkout-0 = {http://arxiv.org/abs/0801.0897}, citeulike-linkout-1 = {http://arxiv.org/pdf/0801.0897}, description = {my bookmarks from citeulike}, eprint = {0801.0897}, interhash = {466eecc1ab2a378863ef2701764f2e41}, intrahash = {caaa0f316c83baf3d7a3157a31aed869}, keywords = {Vor1800 available-in-tex-format calculus-of-variations mathematics pre1800}, month = Jan, posted-at = {2008-07-23 08:31:21}, priority = {2}, timestamp = {2009-08-18T18:24:06.000+0200}, title = {A more accurate treatment of the problem of drawing the shortest line on a surface}, url = {http://arxiv.org/abs/0801.0897}, year = 2008 }