  This article is an abridged and commented translation into Spanish of the
1815 memoir where Gauss introduced the quadrature rules now associated with his
name. Gauss' work does not resemble at all the stardard text-book treatment of
Gaussian quadrature. The original memoir is an example of mathematical
virtuosity, based on a superb use of series, where the problem is reformulated
as a problem in functional approximation that is solved by means of continued
fractions.
