A triangle line is a line with trilinear equation
 |
defined relative to a reference triangle. A triangle line is called a central line iff 
is a triangle
center (Kimberling 1998, p. 127).
Triangle Line
See also
Brocard Axis, Brocard Line, Central Line, Euler Line, Gergonne Line, Lemoine Axis, Line, Soddy LineExplore with Wolfram|Alpha
References
Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Oldknow, A. "The Euler-Gergonne-Soddy Triangle of a Triangle." Amer. Math. Monthly 103, 319-329, 1996.Referenced on Wolfram|Alpha
Triangle LineCite this as:
Weisstein, Eric W. "Triangle Line." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TriangleLine.html