## Mollweide Projection

A Map Projection also called the Elliptical Projection or Homolographic Equal Area Projection. The forward transformation is

 (1) (2)

where is given by
 (3)

Newton's Method can then be used to compute iteratively from
 (4)

where
 (5)

or, better yet,
 (6)

can be used as a first guess.

The inverse Formulas are

 (7) (8)

where
 (9)

References

Snyder, J. P. Map Projections--A Working Manual. U. S. Geological Survey Professional Paper 1395. Washington, DC: U. S. Government Printing Office, pp. 249-252, 1987.