Trilinear Polar -- from Wolfram MathWorld
- ️Weisstein, Eric W.
- ️Sun Nov 14 2004
Given a triangle center 
, the line
where 
are trilinear coordinates, is called the
trilinear polar (Kimberling 1998, p. 38).
The isogonal conjugate 
of 
therefore has trilinear polar
The following table gives the trilinear polars of a number of triangle centers.
The trilinear polar of 
is the perspectrix of the Cevian
triangle of 
and the reference triangle 
.
See also
Chasles's Polars Theorem, Isogonal Conjugate, Polar, Trilinear Pole
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References
Coxeter, H. S. M. The Real Projective Plane, 3rd ed. Cambridge, England: Cambridge University Press, 1993.Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.
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Cite this as:
Weisstein, Eric W. "Trilinear Polar." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TrilinearPolar.html