Geodesy

Levelling

Height differences, elevations, height of instrument and closure error.

Geodesy

Levelling height difference

h = a − b→
Geodesy

Point elevation from levelling

Hᴮ = Hᴬ + a − b→
Geodesy

Height of instrument

HI = Hᴬ + a→
Geodesy

Elevation from instrument horizon

H = HI − b→
Geodesy

Levelling loop closure error

fₕ = Σa − Σb − (Hᴮ−Hᴬ)→
Geodesy

Trigonometric leveling height

h = S sin v→