Mercator projection: celestial coordinates in
red 
native coordinates in grey

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Complication  native coordinates of the reference point differ for
different projections.

Zenithal projections:

Cylindrical, pseudocylindrical, polyconic, quadcube and some
other projections:

Conic projections:

Consequently, the mathematical relationship between the Euler angles
and CRVALi differs for
different projection types.

Nevertheless, the firstorder behaviour of the celestial coordinate
system is similar at the reference point.

Additional FITS keywords:
PVi_m.
