The center of the Taylor circle. It has triangle
center function
and is Kimberling center 
, which is the center of the Spieker
circle of the orthic triangle of the reference
triangle (Johnson 1929, p. 277).
The Taylor center lies on the Brocard axis.
For an acute triangle 
, the Taylor center of 
is the Spieker center
of the orthic triangle 
.
See also
Altitude,
Orthic Triangle,
Spieker Center,
Taylor
Circle
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References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle.
Boston, MA: Houghton Mifflin, p. 277, 1929.Kimberling, C. "Encyclopedia
of Triangle Centers: X(389)=Center of the Taylor Circle." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X389.Referenced
on Wolfram|Alpha
Taylor Center
Cite this as:
Weisstein, Eric W. "Taylor Center." From
MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TaylorCenter.html
Subject classifications
