Lambert Conformal Conic Projection
Let 
be the longitude,
the reference longitude, 
the latitude,
the reference latitude, and 
and 
the standard
parallels. Then the transformation of spherical
coordinates to the plane via the Lambert conformal conic projection is given
by
 |  | ![rhosin[n(lambda-lambda_0)]](/images/equations/LambertConformalConicProjection/Inline9.gif) |
(1)
|
 |  | ![rho_0-rhocos[n(lambda-lambda_0)],](/images/equations/LambertConformalConicProjection/Inline12.gif) |
(2)
|
where
 |  |  |
(3)
|
 |  | ![(ln(cosphi_1secphi_2))/(ln[tan(1/4pi+1/2phi_2)cot(1/4pi+1/2phi_1)])](/images/equations/LambertConformalConicProjection/Inline18.gif) |
(4)
|
 |  |  |
(5)
|
 |  |  |
(6)
|
The inverse formulas are
 |  | ![2tan^(-1)[(F/rho)^(1/n)]-1/2pi](/images/equations/LambertConformalConicProjection/Inline27.gif) |
(7)
|
 |  |  |
(8)
|
where
 |  |  |
(9)
|
 |  |  |
(10)
|
with 
, 
, and 
as defined above.
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