Estudio de las proyecciones cartográficas con la teoría de segundo orden

Abstract

It is considered the isoparametric representation in the sense of O 'keefe for the local transformation of one surface in another. Then one of the surfaces is consider being aplane, therefore only one metric tensor is necessary to represent the properties of the transformation 01' final projection of the surface into the plane. Using Chovitz development to the second order for the metric tensor a matrix is proposed summing up the more important properties of the cartographic projection. Then it is easy 10 generate a infinite number of cartographic projections pro vides a method for the synthesis and unification of the different projections.