We consider the set F n of all positive quadratic differential forms w = a( x, y) dy 2 + b( x, y) dx dy + c( x, y) dx 2 defined in the plane with a, b, and c polynomials in two variables, of degree less than or equal to a positive integer n, with the topology of the coefficients. To every w in F n we associate a pair of transversal one dimensional foliations with common singularities. An open subset of forms in F n with structurally stable associated foliations is characterized and we proved that this set is dense for n = 1 and n = 2.