In an X-ray computer tomograph and a method for examining a component by means of X-ray computer tomography, the component carries out a movement relative to a radiation source detector unit in at least two degrees of freedom of movement, so at least one trajectory can be produced which spans a three-dimensional space. Since the X-radiation has a three-dimensional radiation geometry, volume data can be rapidly obtained and precisely reconstructed to form a three-dimensional X-ray image. The component can be geometrically measured by means of a geometry detection unit.
