First Napoleon Point


The first Napoleon point N, also called the outer Napoleon point, is the concurrence of lines drawn between vertices of a given triangle DeltaABC and the opposite vertices of the corresponding outer Napoleon triangle DeltaN_(AB)N_(BC)N_(AC). It has triangle center function


and is Kimberling center X_(17) (Kimberling 1998, p. 69).

See also

First Fermat Point, Napoleon Points, Outer Napoleon Triangle, Second Napoleon Point

Explore with Wolfram|Alpha


Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Napoleon Points.", C. "Encyclopedia of Triangle Centers: X(17)=1st Napoleon Point."

Referenced on Wolfram|Alpha

First Napoleon Point

Cite this as:

Weisstein, Eric W. "First Napoleon Point." From MathWorld--A Wolfram Web Resource.

Subject classifications