Consider a North Sea point with coordinates derived by GPS satellite in the WGS 84 geographical coordinate system with coordinates of:¶¶           latitude    53 deg 48 min 33.82 sec N, ¶           longitude 02 deg 07 min 46.38 sec E, ¶    and ellipsoidal height 73.0m, ¶¶whose coordinates are required in terms of the ED50 geographical coordinate system which takes the International 1924 ellipsoid. The three parameter datum shift from WGS 84 to ED50 for this North Sea area is given as dX = +84.87m, dY = +96.49m, dZ = +116.95m. ¶¶The WGS 84 geographical coordinates convert to the following geocentric values using the above formulas for X, Y, Z:¶¶   XA = 3771 793.97m¶   YA =   140 253.34m¶   ZA = 5124 304.35m¶¶Applying the quoted datum shifts to these, we obtain new geocentric values now related to ED50:¶¶   XB = 3771 878.84m¶   YB =   140 349.83m¶   ZB = 5124 421.30m¶¶These convert to ED50 values on the International 1924 ellipsoid as:¶           latitude    53 deg 48 min 36.565 sec N, ¶           longitude 02 deg 07 min 51.477 sec E, ¶    and ellipsoidal height 28.02 m, ¶¶Note that the derived height is referred to the International 1924 ellipsoidal surface and will need a further correction for the height of the geoid at this point in order to relate it to Mean Sea Level.