The point of concurrence 
of a triangle's cleavers 
, 
, and 
, which is simply the Spieker
center, i.e., the incenter of the medial
triangle 
(Honsberger 1995, p. 2).
Cleavance Center
See also
Medial Triangle, Nagel Point, Spieker CenterExplore with Wolfram|Alpha
References
Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., p. 2, 1995.Referenced on Wolfram|Alpha
Cleavance CenterCite this as:
Weisstein, Eric W. "Cleavance Center." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CleavanceCenter.html