Isogonal Conjugacy and Fermat Problems
| dc.creator | Ganchev, Georgi | |
| dc.creator | Nikolov, Nikolai | |
| dc.date | 2007-08-10 | |
| dc.date.accessioned | 2026-07-07T08:23:03Z | |
| dc.date.available | 2026-07-07T08:23:03Z | |
| dc.description | We consider three types of isogonal conjugacy of two points with respect to a given triangle and characterize any of these types by a geometric equality. As an application to the Fermat problem with positive weights, we prove that in the general case the given weights determine uniquely a point X and the solution to the Fermat problem is the point Y, which is isogonally conjugate of type I to the point X. We obtain a similar characterization of the solution to the Fermat problem in the case of mixed weights as well. | |
| dc.description | 11 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0708.1374 | |
| dc.identifier | http://arxiv.org/abs/0708.1374 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135859 | |
| dc.subject | General Mathematics | |
| dc.subject | Primary: 51M04; Secondary: 51M16 | |
| dc.title | Isogonal Conjugacy and Fermat Problems | |
| dc.type | text |