Calculation method as the source of errors in connecting and orienting underground mining rooms

The task of connecting survey and orienting mine rooms is to obtain the coordinates for the first point of the future underground traverse and the bearing of the first side of the underground traverse on the horizon that is being connected. The task is particularly complex when the connection survey is performed through a single vertical shaft. The accuracy of connection survey and orientation is influenced by the errors in given and measured values, but in addition a question may be asked if the applied calculation method influence the connection precision (accuracy) and if they do to what extent. If the connection through a single vertical shaft is completed by the connection rectangle method, the calculations are most often done by using the Hansen, Weiss or Hause method. This paper presents calculations of standard deviations of unknown values in a connecting rectangle based on the three methods, as well as standard deviations of the bearing of the first side of the underground traverse on an example