A pivot point of a curve is a fixed point 
such that points 
lying on the curve and their (isogonal,
isotomic, etc.) conjugates are collinear
with 
.
Pivot Point
See also
Pivot Theorem, Pivotal Isogonal Cubic, Pivotal Isotomic CubicExplore with Wolfram|Alpha
References
Gallatly, W. "Pivot Points. Tucker Circles." Ch. 12 in The Modern Geometry of the Triangle, 2nd ed. London: Hodgson, pp. 109-119, 1913.Referenced on Wolfram|Alpha
Pivot PointCite this as:
Weisstein, Eric W. "Pivot Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PivotPoint.html