No.10138162 ViewReplyOriginalReport
Given fixed points A,B,C,D in the plane, determine the set of all points X, such that angles AXB=AXD.

I've thought of this problem today, and using brute force and Geogebra I get curves like in pic related.

Maybe you've seen them somwhere? Or the problem? I find it very interesting, but I am baffled by the brute force results.(I expect to find some euclidiean construction, (trough circles lines, and maybe conic sections) that generates them)