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In any Triangle, the Locus of a point whose Pedal Triangle has a constant Brocard Angle and is described in a given direction is a Circle of the Schoute Coaxal System.
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.
Schoute, P. H. Proc. Amsterdam Acad., 39-62, 1887-1888.