  We consider the Laplace normal vector field of relatively normalized ruled
surfaces with non-vanishing Gaussian curvature in the three-dimensional
Euclidean space $\mathbb{R}^{3}$. We determine all ruled surfaces and all
relative normalizations for which the Laplace normal image degenerates into a
point or into a curve. Moreover, we study the Laplace normal image of a
non-conoidal ruled surface whose relative normals lie on the asymptotic plane.
