MODULUS / REFERENCE
Formulas: Geodesy
Complete Android Modulus reference: formulas for Geodesy.
Maps and scales
• 1 : M = l / L, hence L = lM
• i = h / L, h = iL
• α = arctan(h / L)
Coordinates and directions
• Δx = d cos α, Δy = d sin α
• d = √((x2 − x1)² + (y2 − y1)²)
• α = arctan(Δy / Δx)
• x = r cos α, y = r sin α
Leveling and tacheometry
• h = a − b
• H = Href + a
• Hpoint = H − b
• h = d tan ν, dhor = d cos ν
Areas and profiles
• Srect = ab, Stri = ah / 2, Strap = (a + b)h / 2
• i% = Δh / L · 100%, i‰ = Δh / L · 1000
• 1 : M = l / L, hence L = lM
• i = h / L, h = iL
• α = arctan(h / L)
Coordinates and directions
• Δx = d cos α, Δy = d sin α
• d = √((x2 − x1)² + (y2 − y1)²)
• α = arctan(Δy / Δx)
• x = r cos α, y = r sin α
Leveling and tacheometry
• h = a − b
• H = Href + a
• Hpoint = H − b
• h = d tan ν, dhor = d cos ν
Areas and profiles
• Srect = ab, Stri = ah / 2, Strap = (a + b)h / 2
• i% = Δh / L · 100%, i‰ = Δh / L · 1000
Values are provided for reference. Check the required unit system and conditions before engineering or laboratory use.