A straight line drawing retains the straightness condition without requiring intersections to occur only at common endpoints. Although
geometric and computational sources sometimes call such a drawing an embedding, the
topological term straight line embedding applies only when the edges
otherwise remain disjoint.
White, A. T. "Imbedding Problems in Graph Theory." Ch. 6 in Graphs of Groups on Surfaces: Interactions and Models (Ed. A. T. White).
Amsterdam, Netherlands: Elsevier, 2001.