A more accurate treatment of the problem of drawing the shortest line on a surface
| dc.creator | Euler, Leonhard | |
| dc.date | 2008-01-07 | |
| dc.date.accessioned | 2026-07-07T08:52:54Z | |
| dc.date.available | 2026-07-07T08:52:54Z | |
| dc.description | 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. | |
| dc.description | 10 pages; E727 in the Enestrom index | |
| dc.identifier | https://arxiv.org/abs/0801.0897 | |
| dc.identifier | http://arxiv.org/abs/0801.0897 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145439 | |
| dc.subject | History and Overview | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 01A50; 49-03 | |
| dc.title | A more accurate treatment of the problem of drawing the shortest line on a surface | |
| dc.type | text |