The Gallatly circle is the circle with center at the Brocard midpoint X_39 and radius R_G | = | R sin ω | = | (a b c)/(2sqrt(a^2 b^2 + a^2 c^2 + b^2 c^2)), where R is the circumradius of the reference triangle and ω is the Brocard angle. It has circle function l = (b c(a^2 + b^2 + c^2)(a^4 - a^2 b^2 - a^2 c^2 - 2b^2 c^2))/(4(a^2 b^2 + a^2 c^2 + b^2 c^2)^2), corresponding to Kimberling center X_183.

central circle | Tucker circles