A method for processing a glass ribbon, the method comprising: supplying a glass ribbon from a supply apparatus to an upstream side of a conveying apparatus comprising a pulling device located at a downstream side of the conveying apparatus opposite the upstream side, and a conveyor device, the conveyor device establishing a primary plane of travel from the upstream side to the downstream side; and applying a pulling force on the glass ribbon with the pulling device, and continuously conveying the glass ribbon along a travel path and in the primary plane of travel from a location downstream of the third location and to the pulling device comprising: a first bend at a first location between the upstream side and the pulling device, the first bend defining a curve that is convex to the primary plane of travel, a second bend at a second location between the first location and the pulling device, the second bend defining a curve that is concave to the primary plane of travel, and a third bend at a third location between the second location and the pulling device, the third bend defining a curve that is convex to the primary plane of travel, characterized in that a vertical distance between the third location and the primary plane of travel is greater than a vertical distance between the first location and the primary plane of travel. supplying a glass ribbon from a supply apparatus to an upstream side of a conveying apparatus comprising a pulling device located at a downstream side of the conveying apparatus opposite the upstream side, and a conveyor device, the conveyor device establishing a primary plane of travel from the upstream side to the downstream side; and applying a pulling force on the glass ribbon with the pulling device, and continuously conveying the glass ribbon along a travel path and in the primary plane of travel from a location downstream of the third location and to the pulling device comprising: a first bend at a first location between the upstream side and the pulling device, the first bend defining a curve that is convex to the primary plane of travel, a second bend at a second location between the first location and the pulling device, the second bend defining a curve that is concave to the primary plane of travel, and a third bend at a third location between the second location and the pulling device, the third bend defining a curve that is convex to the primary plane of travel, characterized in that a vertical distance between the third location and the primary plane of travel is greater than a vertical distance between the first location and the primary plane of travel. a first bend at a first location between the upstream side and the pulling device, the first bend defining a curve that is convex to the primary plane of travel, a second bend at a second location between the first location and the pulling device, the second bend defining a curve that is concave to the primary plane of travel, and a third bend at a third location between the second location and the pulling device, the third bend defining a curve that is convex to the primary plane of travel, characterized in that a vertical distance between the third location and the primary plane of travel is greater than a vertical distance between the first location and the primary plane of travel.