Convert a geodetic position to a grid point using a spherical Bonne projection:

Convert back to a geodetic position:

Compute a spherical gnomonic projection using a custom setting for the central meridian:

Compute a projection using explicitly specified projection parameters:

Get latitude, longitude lists for the main boundaries of a country:

Convert geodetic coordinates to grid positions using the spherical Mercator projection:

Use the Cassini projection with a particular center:

Alternatively:

Gudermannian implements the inverse Mercator projection for the latitude coordinate:

Choose a location:

Parameters of the default reference ellipsoid:

Project that location on the ellipsoid using the cylindrical-aspect Mercator projection:

The result can also be obtained as:

Project the same location using the transverse-aspect Mercator projection:

The result can also be obtained by solving this equation:

And evaluating:

There is no simple relation between the projected coordinates of a point and those of its antipode:

In actual applications, the "ReferenceModel" parameter of the projection will usually coincide with the datum in the third argument of GeoGridPosition, but this is not needed. For example, the standard webMercator projection uses the spherical Mercator projection, with some radius r, even though the locations are associated with a datum based on a standard reference ellipsoid. This is represented by:

Using the ellipsoidal Mercator projection gives slightly different results: