The logic of the EPR argument is applied, not to two particles in a line but to one particle in a plane. Contextuality (defined here as a generalization of the notion of nonseparability) among commuting observables is shown to emerge as a result, i.e., although the two orthogonal coordinates characterizing the position of a particle commute, nonetheless there are states in which these coordinates are not independent, in the sense that the measurement or observation of one of them must have an effect on the other.