## Parametric Latitude

An Auxiliary Latitude also called the Reduced Latitude and denoted or . It gives the Latitude on a Sphere of Radius for which the parallel has the same radius as the parallel of geodetic latitude and the Ellipsoid through a given point. It is given by

In series form,

where

Adams, O. S. Latitude Developments Connected with Geodesy and Cartography with Tables, Including a Table for Lambert Equal-Area Meridional Projections.'' Spec. Pub. No. 67. U. S. Coast and Geodetic Survey, 1921.