Formulas of calculations

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For definition of a mark of district's point by vertical circle calculate an angle of an inclination v;

 1. To consider a place of zero (MO)

    v = MO + 360° - L; (if L>90°)

    v = MO  - (L+ 360°); (if L<90°)

    v = R - MO;

 2. Horizontal distance

   d = D*cos(v)*cos(v)   - for the geodetic measurements which are carried out by analog geodetic devices;

   d = D*cos(v)              -  for the geodetic measurements which are carried out by digital geodetic devices;

 

   where

      v - an angle of an inclination;

      D - the measured distance;

 3. Height difference (Excess)

    h = d*tgv + i - hV;

    where

      d  - a horizontal distance;

      v  - an angle of an inclination;

      i  - height of the tool (height of an axis of rotation of a pipe above

           point of district);

      hV - height of sighting (distance from a heel of a lath up to

           places of prompting onto a lath);

 4. Calculate marks of picket points:

    Hп = Ho + hп;

    where

       Ho - a mark of a point of standing;

       hп - height difference (excess);

 5. Admissible discrepancy (mm)

  Fdop =0,04*еd:Ц n.