Triangle Line

A triangle line is a line with trilinear equation

defined relative to a reference triangle. A triangle line is called a central line iff l:m:n is a triangle center (Kimberling 1998, p. 127).

See also

Brocard Axis, Brocard Line, Central Line, Euler Line, Gergonne Line, Lemoine Axis, Line, Soddy Line

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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 Line

Cite this as:

Weisstein, Eric W. "Triangle Line." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TriangleLine.html

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