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docs: add formulas for projection
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tobias47n9e committed May 15, 2015
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Expand Up @@ -20,6 +20,23 @@ In most cases it is preferable to use a projection that optimises equal area, be

Small circles (all 10° radius) make it easier to see that area is preserved reasonably well across all orientations. Angles are slightly distorted and make the circles appear as ellipses.

The x-axis (horizontal) and y-axis (vertical) coordinates

.. raw:: latex html

x = Rk \cos(\phi) \sin(\lambda - \lambda_{0}
y = Rk \sin(\phi)

\phi = Latitude
\lambda = Longitude
\lambda_{0} = Central Meridian (y-axis)

With k equal to:

.. raw:: latex html

k = \frac{2 k_{0}}{1 + \cos(\phi) \cos(\lambda - \lambda_{0}}

Equal angle projection
^^^^^^^^^^^^^^^^^^^^^^

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