Lemoine point
The Lemoine point of a triangle
, is the intersection
point of its three symmedians
. (That is, the isogonal conjugate
of the centroid).
It is related with the Gergonne point by the following result:
On any triangle , the Lemoine point of its Gergonne triangle is the Gergonne point of .
In the picture, the blue lines are the medians, intersecting an the centroid .The green lines are anglee bisectors intersecting at the incentre and the red lines are symmedians. The symmedians intersect at Lemoine point .
| Title | Lemoine point |
| Canonical name | LemoinePoint |
| Date of creation | 2013-03-22 12:11:02 |
| Last modified on | 2013-03-22 12:11:02 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 9 |
| Author | drini (3) |
| Entry type | Definition |
| Classification | msc 51-00 |
| Related topic | Triangle |
| Related topic | Symmedian |
| Related topic | LemoineCircle |
| Related topic | Incircle |
| Related topic | Centroid |
| Related topic | Incenter |
| Related topic | GergonnePoint |
| Related topic | Isogonal |
| Related topic | IsogonalConjugate |
| Related topic | FundamentalTheoremOnIsogonalLines |