Albers Equal-Area Conic Projection
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)
|
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map projections