Third-generation synchrotron X-ray sources such as the Advanced Photon Source under construction at Argonne National Laboratory will place severe heat load demands on the first beamline optical element. A cooled, inclined double-crystal monochromator is one of the instruments being developed at the APS to handle these high heat loads while retaining the brilliance of the source. Using a modified version of the 1989 VAX/VMS SHADOW code, we examine the properties of the exit beam for two inclined double-crystal monochromator geometries.