Disclosed herein are apparatuses and methods for drawing sheet glass. More particularly, one or more sets of edge rolls can be configured to have a rotation axis angled away from a line orthogonal to the direction of flow of a ribbon of glass and positioned so as to contact the glass in the viscous region of the draw. Through control over the orientation and position of the one or more sets of edge rolls, sheet width attenuation may be eliminated, thickness of the beads that form along the edges of the glass sheet may be reduced, and instabilities associated with sheet width variation may be eliminated.