Theodolite moves laid along underground workings are calculated gradually, as the workings advance. For some time the courses remain dangling, then they gradually form closed polygons, to a greater or lesser extent interconnected. Connection of the underground reference network to the redundant source data (directional angles of the sides, determined by the gyroscopic method, coordinates of points transferred from the surface through vertical or inclined excavations) is carried out relatively rarely.

Systems of theodolite moves and polytonometry of 1 and 2 digits are equalized in a simplified way. First, jointly determine the corrections to the angles, then on the corrected angles calculated increments of coordinates, then separately equalized abscissa and ordinates in the system of moves. The discrepancies of individual moves on the coordinate axes are distributed by the coordinate increments in proportion to the length of the sides.

The article deals with the issues of determining the error of the height of the reference point or the position of the polygonometric point in the system of moves, equated by the method of polygons, nodes, approximations or the method of equivalent replacement.

The following formulas are known in the literature for calculating the errors of directional angles of the sides of the underground polygon, laid at orientation through two vertical mine shafts, a) depending on the errors of measurement; b) depending on the errors of measuring the lengths of the sides ...