COMPUTER ALGEBRA APPLIED TO MATHEMATICAL CARTOGRAPHY
Carlos Enríquez Turiño

ABSTRACT
It's a well-known fact that the conformal Gauss-Kr=FCger projection, and
its variant the UTM, are not strictly conformal because of the
truncation of the terms and then none of the Cauchy-Riemann conditions
are satisfied. This work is divided in three parts. First, we prove this
fact . Second, we evaluate the angular distorsion for the Hayford
ellipsoid, proving that the projection is practically conformal. In
order to evaluate the maximum angular distorsion we use the semiaxes of
the Tissot indicatrix ellipse. The third part of this work, which is
under construction, is a package with useful functions for the UTM
projection, including:

	Direct and Inverse transformation.
	Grid Convergence.
	Local scale-factor.
	Correct to a line of finite length.
	The chord to arc correction.