Abstract

The present development of distance-measuring instruments suitable for geodetic surveys raises the problem of simultaneously adjusting observed lengths and angles. The basic mathematical tools for carrying out such adjustments according to the method of least squares have existed for many years. In recent years excellent material, written in terms of matrix algebra, has been published on the general theory of least squares adjustment by such authors as Marchant, Bjerhammar, Wolf, and Gotthardt. In some of this literature the approach has been to proceed from the general problem to particular cases as opposed to the synthesis of particular cases into a general method.

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