The following is a listing of how to do this using arc info. All commands for Arc Info will be printed in bold here. Wherever the word "cover" appears, enter the name of the coverage in current working directory. The online documentation provided by ArcInfo provides parameters, and other technical information required to properly perform this task.
Arc: project cover world_geo memphis_equ
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* The INPUT projection has been defined. *
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Use OUTPUT to define the output projection and END to finish.
Project: OUTPUT
Project: PROJECTION AZIMUTHAL
Project: UNITS METERS
Project: PARAMETERS
radius of the sphere of reference [ 0.00000 ]: 6370997
longitude of center of projection [ 0 0 0.000 ]: -90 0 25
latitude of center of projection [ 0 0 0.000 ]: 35 6 22
false easting (meters) [ 0.00000 ]: 0
false northing (meters) [ 0.00000 ]: 0
Project: END
NOTE: The above value of 6370997 m is Arc/Info's default sphere radius.