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Gergonne point (Definition)

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.

\includegraphics{gergonne}



"Gergonne point" is owned by drini. [ owner history (1) ]
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See Also: Ceva's theorem, triangle, Lemoine point, Gergonne triangle, incircle, incenter, symmedian, trigonometric version of Ceva's theorem
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Cross-references: point, concurrent, lines, sides, incircle, triangle
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This is version 3 of Gergonne point, born on 2002-01-08, modified 2002-05-17.
Object id is 1444, canonical name is GergonnePoint.
Accessed 3638 times total.

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AMS MSC: 51-00 (Geometry :: General reference works )
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