The Napoleon crossdifference is the crossdifference of the Napoleon points. It has triangle center function
![alpha_(1510)=((b^2-c^2)[2cos(2A)-1])/a](/images/equations/NapoleonCrossdifference/NumberedEquation1.svg) |
and is Kimberling center 
.
Napoleon Crossdifference
See also
Crossdifference, First Napoleon Point, Napoleon Points, Second Napoleon PointExplore with Wolfram|Alpha
References
Kimberling, C. "Encyclopedia of Triangle Centers: X(1510)=Napoleon Crossdifference." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X1510.Referenced on Wolfram|Alpha
Napoleon CrossdifferenceCite this as:
Weisstein, Eric W. "Napoleon Crossdifference." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NapoleonCrossdifference.html