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)
|