The second Brocard circle is the circle having center at the circumcenter of the reference
triangle and radius
where
is the circumradius. It has circle
function

(3)

which corresponds to the symmedian point .
The (first) Brocard circle and second Brocard circle meet in the first and second
Brocard points.
The second Brocard circle also passes through the points for and 1671.
See also
Brocard Circle,
Cosine
Circle
Explore with WolframAlpha
References
Kimberling, C. "Clark Kimberling's Encyclopedia of Triangle CentersETC." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X2445.Referenced
on WolframAlpha
Second Brocard Circle
Cite this as:
Weisstein, Eric W. "Second Brocard Circle."
From MathWorldA Wolfram Web Resource. https://mathworld.wolfram.com/SecondBrocardCircle.html
Subject classifications