  We develop an idea of fixed exit double-crystal monochromator of general
position, in which the lines of entering and exit beams (both being fixed) do
not lie in one plane, i.e., are in general position.
  Both cases of identical and not identical crystals are considered, and exact
solutions are obtained describing valid positions and orientations of both
crystals. Special attention is paid to the case of small lattice mismatch
between the first and the second crystal (e.g. due to temperature difference)
and small angle of `skewness' (that is to say, an angle between skew lines of
entrance and exit beams is much less than unity).
  We derive also some useful formulations describing beam profile change after
two reflections (whose reflection planes are non-parallel). At last, possible
designing approach for such a skew DC-mono is briefly touched upon.
