The first de Villiers point is the perspector of the reference triangle and its BCI triangle, which is Kimberling center and has triangle center function
First de Villiers Point
See also
de Villiers Points, Second 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
First de Villiers PointCite this as:
Weisstein, Eric W. "First de Villiers Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstdeVilliersPoint.html