As noted in [SNYD] and [LLEE] the closed solution for the transverse Mercator forward and inverse conversions were developed by Prof. E. H. Thompson in 1945 and were formally published by L. P. Lee in 1962 [LLEE] with the permission of Professor Thompson. In 1980, J. Dozier published a report that adapted Lee’s results to a computerized solution, including complete program listings in the C language [DOZI]. The formulation used here is further adapted from the work of Dozier to include a central scale factor, a non-zero latitude origin and false easting and false northing offsets for both the easting and northing components. The functional iteration scheme used to determine latitude from the isometric latitude was adapted from [SNYD].