Before revision: Let G be a graph embedded in the plane and let A be an arrangement of pseudolines intersecting the drawing of G.  aligned drawing of G and A is a planar polyline drawing \Gamma of G with an arrangement A of lines so that \Gamma and A are homeomorphic to G and A.
After revision: Let G be a graph embedded in the plane and let A be an arrangement of pseudolines intersecting the drawing of G. An aligned drawing of G and A is a planar polyline drawing \Gamma of G with an arrangement A of lines so that \Gamma and A are homeomorphic to G and A.