The circumcircle, Brocard circle, Lemoine axis, and isodynamic points belong to a coaxal system orthogonal to the Apollonius circles, called the Schoute coaxal system. In general, there are 12 points whose pedal triangles with regard to a given triangle have a given form. They lie six by six on two circles of the Schoute coaxal system.
Schoute Coaxal System
See also
Apollonius Circle, Brocard Circle, Circumcircle, Coaxal System, Isodynamic Points, Lemoine Axis, Schoute's TheoremExplore with Wolfram|Alpha
References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 297-299, 1929.Referenced on Wolfram|Alpha
Schoute Coaxal SystemCite this as:
Weisstein, Eric W. "Schoute Coaxal System." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchouteCoaxalSystem.html