A Treatise On the Adjustment of Observations With Applications to Geodetic Work

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Solution in Two Groups.
112. In geodetic work it often happens that the observed quantities are subject to a simple set of conditions which may be readily solved as observation equations by the method of independent unknowns, and are also subject to other conditions which are best solved by the method of correlates. The equations are thus divided into two groups for solution, and the complete solution, therefore, consists of two parts. The observation equations forming the first group are solve
...d by themselves and give approximations to the final values of the unknowns. The corrections to these approximate values due to the second group are next found by solving this second group by the method of correlates. * The merit of the method consists in utilizing the work expended in the solution of the first group in determining the additional corrections due to the second group. The * The first exposition of this method was given by ]>esscl in the Gradmcssiingin Ostfrcusscn. The method of finding the precision of the adjusted values is due to Andrae, Den Danskc Graii- Htaaling, vol.

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