Methods for separating a glass ribbon and simultaneously shape-forming a separated edge thereof

A method for separating a glass ribbon, comprising:

• moving the glass ribbon at a glass ribbon velocity including a glass ribbon velocity vector in a conveyance direction of the moving glass ribbon;
• exposing a separation path on the glass ribbon to at least one laser beam spot to rapidly heat the glass ribbon along the separation path, the separation path extending in a direction transverse to the conveyance direction to opposed lateral edges of the glass ribbon;
• moving the laser beam spot at a laser beam spot velocity including a laser beam spot velocity vector in the conveyance direction that is equal to the glass ribbon velocity vector, wherein the separation path continues to be exposed to the laser beam spot to continue rapidly heating the glass ribbon along the separation path while the glass ribbon moves at the glass ribbon velocity;
• and
• melting the glass ribbon along the separation path while the separation path is rapidly heated during steps (b) and (c), wherein, in response to the melting, a glass ribbon portion is separated from the glass ribbon along the separation path and rounded, separated edges are simultaneously formed adjacent the separation path on both the glass ribbon portion and the glass ribbon.