Website created August 2009. Last update September 2013.

## Introduction

This web page is a portal to an article (3.3MB) on the Normal and
Transverse Mercator projections on the sphere and ellipsoid:

mercator.pdf.

## Chapters

1: Introduction
2: Normal Mercator on the sphere: NMS
3: Transverse Mercator on the sphere: TMS
4: NMS to TMS by complex variables
5: The geometry of the ellipsoid
6: Normal Mercator on the ellipsoid (NME)
7: Transverse Mercator on the ellipsoid (TME)
8: The UTM and NGGB projections
## Appendices

A: Curvature in two and three dimensions
B: Inversion of series by Lagrange expansions
C: Plane Trigonometry
D: Spherical Trigonometry
E: Series expansions
F: Calculus of variations
G: Complex variable theory
H: Maxima code
## Latex source code

Source files:

mercator.rar
## Maxima files

Maxima files:

maxima.rar
## Errata

Please email errors to me. In each case give a page and line
number.

## Queries

Queries should be addressed to the email address below.

## Contact

My email address is mercator99@virginmedia.com