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)
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)