Gergonne point


Let A⁢B⁢C be a triangle and D,E,F where the incircleMathworldPlanetmath touches the sides B⁢C,C⁢A,A⁢B respectively. Then the lines A⁢D,B⁢E,C⁢F are concurrentMathworldPlanetmath, and the common point is called the Gergonne pointMathworldPlanetmath 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 IncenterMathworldPlanetmath
Related topic SymmedianMathworldPlanetmath
Related topic TrigonometricVersionOfCevasTheorem