A method of cutting a glass sheet is disclosed. The method comprises heating a heating element to a heat temperature, which in turn heats a glass sheet along a desired cutting line, to a separation temperature. The glass sheet is subjected to non-destructive pressure at an edge on the cutting line. The non-destructive pressure may be applied by a tool with opposed sharp edges so long as the edges do not nick or otherwise score the glass sheet. A diagonal cutter may be utilized as the sharp-edged tool. After an adequate amount of heating time, the glass sheet will achieve the separation temperature and spontaneously separate along the heated cutting line.