Device for performing geometric measurement of an object, having: - a carrier for the object, which carrier defines an axial direction (z) and a radial direction (x), - a holder that is able to be moved relative to the carrier with respect to the axial direction (z) and with respect to the radial direction (x), - a distance measuring apparatus that is arranged on the holder, - at least one reference object (18, 19, 20) that is able to be fixed relative to the carrier, - wherein a first longitudinally extending reference structure and a second longitudinally extending reference structure are arranged on one of the holder and the reference object (18, 19, 20), wherein the first longitudinally extending reference structure and the second longitudinally extending reference structure extend at a predefined angle with respect to one another, and - wherein a first reference sensor aligned with respect to the first reference structure and a second reference sensor aligned with respect to the second reference structure are arranged on the other of the holder and the reference object (18, 19, 20), wherein it is possible to ascertain a position of the holder in a plane spanned by the longitudinal extent of the first reference structure and the longitudinal extent of the second reference structure by measuring a first distance between the first reference sensor and the first reference structure and by measuring a second distance between the second reference sensor and the second reference structure, - wherein the first reference structure is aligned in the radial direction (x) and the second reference structure is aligned in a manner inclined by a predefined angle with respect to the axial direction (z), or - wherein the first reference structure and the second reference structure are each aligned by a predefined angle both with respect to the radial direction (x) and with respect to the axial direction (z), characterized in that - the distance measuring apparatus is mounted on the holder so as to be able to pivot at least with respect to a first axis. - a carrier for the object, which carrier defines an axial direction (z) and a radial direction (x), - a holder that is able to be moved relative to the carrier with respect to the axial direction (z) and with respect to the radial direction (x), - a distance measuring apparatus that is arranged on the holder, - at least one reference object (18, 19, 20) that is able to be fixed relative to the carrier, - wherein a first longitudinally extending reference structure and a second longitudinally extending reference structure are arranged on one of the holder and the reference object (18, 19, 20), wherein the first longitudinally extending reference structure and the second longitudinally extending reference structure extend at a predefined angle with respect to one another, and - wherein a first reference sensor aligned with respect to the first reference structure and a second reference sensor aligned with respect to the second reference structure are arranged on the other of the holder and the reference object (18, 19, 20), wherein it is possible to ascertain a position of the holder in a plane spanned by the longitudinal extent of the first reference structure and the longitudinal extent of the second reference structure by measuring a first distance between the first reference sensor and the first reference structure and by measuring a second distance between the second reference sensor and the second reference structure, - wherein the first reference structure is aligned in the radial direction (x) and the second reference structure is aligned in a manner inclined by a predefined angle with respect to the axial direction (z), or - wherein the first reference structure and the second reference structure are each aligned by a predefined angle both with respect to the radial direction (x) and with respect to the axial direction (z), characterized in that - the distance measuring apparatus is mounted on the holder so as to be able to pivot at least with respect to a first axis.