The Tixier point
is the reflection of the focus of the Kiepert
parabola ()
in the Euler line. It has equivalent trilinear center
functions
It lies on the circumcircle.
The distance between points and and the Euler line is
given by

(3)

where
is the area of the reference
triangle.
See also
Kiepert Parabola
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References
Kimberling, C. "Encyclopedia of Triangle Centers: X(476)=Tixier Point." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X476.Referenced
on WolframAlpha
Tixier Point
Cite this as:
Weisstein, Eric W. "Tixier Point." From
MathWorldA Wolfram Web Resource. https://mathworld.wolfram.com/TixierPoint.html
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