Strength analysis of geodetic control networks

In strength analysis of horizontal geodetic networks it is appropriate to use pairs of functions which involve the relative position of two points and relative position of three points. Using properly chosen pairs of functions, formulae are given which allow the computation of precision criteria for the orientation and scale of the network as well as its shape. To illustrate the presentation of results, new types of errors ellipses are introduced. Analogies and correlations existing among the adopted functions are introduced by using the concept of orthogonal networks which are defined in the paper.