Gergonne point

Let $ABC$ be a triangle and $D,E,F$ where the incircle touches the sides $BC,CA,AB$ respectively. Then the lines $AD,BE,CF$ are concurrent, and the common point is called the Gergonne point of the triangle.

 Title Gergonne point Canonical name GergonnePoint Date of creation 2013-03-22 12:10:52 Last modified on 2013-03-22 12:10:52 Owner drini (3) Last modified by drini (3) Numerical id 7 Author drini (3) Entry type Definition Classification msc 51-00 Related topic CevasTheorem Related topic Triangle Related topic LemoinePoint Related topic GergonneTriangle Related topic Incircle Related topic Incenter Related topic Symmedian Related topic TrigonometricVersionOfCevasTheorem