Let 
be the latitude for the origin of the Cartesian
coordinates and 
its longitude, and let
and 
be the standard parallels. Then for a unit sphere,
the Albers equal-area conic projection maps latitude and longitude 
to Cartesian 
coordinates
 |  |  |
(1)
|
 |  |  |
(2)
|
where
 |  |  |
(3)
|
 |  |  |
(4)
|
 |  |  |
(5)
|
 |  |  |
(6)
|
 |  |  |
(7)
|
The projection illustrated above takes 
and standard parallels
at 
and 
.
The inverse formulas are
 |  |  |
(8)
|
 |  |  |
(9)
|
where
 |  |  |
(10)
|
 |  |  |
(11)
|
