Abstract: A method including the following steps: clamping and centering a toothing on a measuring spindle of a coordinate measuring machine; and measuring a geometry of a toothing using an optical measuring system of the coordinate measuring machine. The toothing is rotated during the measurement by a rotation of the measuring spindle. A rotational speed of the measuring spindle is adjusted and/or increased or decreased depending on a tolerance class of the toothing to be measured.

Abstract: A measurement device having an axis of rotation, at least one controlled axis, a receptacle for a component to be measured rotationally-drivable around the axis of rotation, and having an optical, contactlessly operating measuring arrangement having a light source, an optics arrangement, and an optical detector, wherein the measuring arrangement is configured for emitting a light beam from the light source along an optical axis in the direction of an object plane of the component, guiding light components having different wavelengths, which were reflected on the object plane, through the optics arrangement in the direction of the optical detector, and wherein the optics arrangement comprises a first partial device and a second partial device, wherein the first partial device is fixedly connected via an optical waveguide to the detector, and wherein the second partial device is removably arranged on the first partial device.