Edge of a sheet held by the grippers, thus going first through a sheetfed press.
Edge of the sheet of paper caught by the grippers that pull paper into the press for printing. 
Edge of a sheet held by grippers on a sheeted press, thus going first through the press. Also called grip, feeding edge and leading edge.
The grippers of the printing press move the paper through the press by holding onto the leading edge of the sheet; this edge is the gripper edge.