symmedian
On any triangle, the three lines obtained by reflecting the medians in the (internal) angle bisectors
are called the symmedians
of the triangle.
In the picture, is angle bisector and a median. The reflection of on is , a symmedian.
It can be stated as symmedians are isogonal conjugates of medians.
| Title | symmedian |
| Canonical name | Symmedian |
| Date of creation | 2013-03-22 12:10:55 |
| Last modified on | 2013-03-22 12:10:55 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 6 |
| Author | drini (3) |
| Entry type | Definition |
| Classification | msc 51M99 |
| Related topic | Triangle |
| Related topic | LemoinePoint |
| Related topic | GergonnePoint |
| Related topic | Isogonal |
| Related topic | IsogonalConjugate |
| Related topic | FundamentalTheoremOnIsogonalLines |
| Related topic | LemoineCircle |