Arrangement having a main carrier, an intermediate carrier which is arranged on the main carrier and a measuring rod which is arranged on the intermediate carrier, wherein the measuring rod extends in a longitudinal direction, and wherein the measuring rod has a measurement division which is arranged in a measurement division plane for position measurement at least in the longitudinal direction, wherein the main carrier has a first securing element and a second securing element, wherein the first securing element and the second securing element are integrated in the main carrier, and wherein the first securing element and the second securing element are arranged spaced apart from each other in the longitudinal direction, wherein the first securing element is constructed in such a manner that it carries the intermediate carrier at a first position in the longitudinal direction rigidly on the main carrier, and wherein the second securing element is constructed in such a manner that it carries the intermediate carrier at a second position which is different from the first position so as to be freely movable in the longitudinal direction with respect to the main carrier, wherein the arrangement has a third securing element and a fourth securing element, wherein the third securing element and the fourth securing element are arranged spaced apart from each other in the longitudinal direction, and wherein the third securing element is constructed in such a manner that it carries the measuring rod at the first position in the longitudinal direction in a rigid manner on the intermediate carrier, characterised in that the fourth securing element is constructed in such a manner that it carries the measuring rod at a third position which is different from the first position and the second position so as to be freely movable in the longitudinal direction with respect to the intermediate carrier, in that the first securing element is constructed in such a manner that it carries the intermediate carrier at the first position about a rotation axis which is associated with the first position and which extends perpendicularly to the measurement division plane so as to be able to be freely rotated with respect to the main carrier, and in that the second securing element is constructed in such a manner that it carries the intermediate carrier at the second position about a rotation axis which is associated with the second position and which extends perpendicularly to the measurement division plane so as to be able to be freely rotated with respect to the main carrier. wherein the main carrier has a first securing element and a second securing element, wherein the first securing element and the second securing element are integrated in the main carrier, and wherein the first securing element and the second securing element are arranged spaced apart from each other in the longitudinal direction, wherein the first securing element is constructed in such a manner that it carries the intermediate carrier at a first position in the longitudinal direction rigidly on the main carrier, and wherein the second securing element is constructed in such a manner that it carries the intermediate carrier at a second position which is different from the first position so as to be freely movable in the longitudinal direction with respect to the main carrier, wherein the arrangement has a third securing element and a fourth securing element, wherein the third securing element and the fourth securing element are arranged spaced apart from each other in the longitudinal direction, and wherein the third securing element is constructed in such a manner that it carries the measuring rod at the first position in the longitudinal direction in a rigid manner on the intermediate carrier, characterised in that the fourth securing element is constructed in such a manner that it carries the measuring rod at a third position which is different from the first position and the second position so as to be freely movable in the longitudinal direction with respect to the intermediate carrier, in that the first securing element is constructed in such a manner that it carries the intermediate carrier at the first position about a rotation axis which is associated with the first position and which extends perpendicularly to the measurement division plane so as to be able to be freely rotated with respect to the main carrier, and in that the second securing element is constructed in such a manner that it carries the intermediate carrier at the second position about a rotation axis which is associated with the second position and which extends perpendicularly to the measurement division plane so as to be able to be freely rotated with respect to the main carrier.