The second de Villiers point is the perspector of the reference triangle and the excenter analog
of the BCI triangle, which is Kimberling center 
has triangle
center function
![alpha_(1128)=csc[1/4(pi+3A)]sin[1/4(pi-A)].](/images/equations/SeconddeVilliersPoint/NumberedEquation1.svg) |
Second de Villiers Point
See also
de Villiers Points, First de Villiers PointExplore with Wolfram|Alpha
References
de Villiers, M. "A Dual to Kosnita's Theorem." Math. Info. Quart. 6, 169-171, 1996. http://mzone.mweb.co.za/residents/profmd/kosnita.htm.Referenced on Wolfram|Alpha
Second de Villiers PointCite this as:
Weisstein, Eric W. "Second de Villiers Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SeconddeVilliersPoint.html