Geodesy

Maps and scales

Distances and areas on maps and on the ground.

Geodesy

Ground distance from map

L = lM / 100→
Geodesy

Map distance from ground

l = 100L / M→
Geodesy

Map scale denominator

M = L / l→
Geodesy

Ground area from map

S = sM² / 10 000→
Geodesy

Map area from ground

s = 10 000S / M²→
Geodesy

Scale from distances in the same units

n = L / l→
Geodesy

Ground distance without unit conversion

L = nl→
Geodesy

Plan distance without unit conversion

l = L / n→
Geodesy

Scale accuracy

m = 0.0001n→
Geodesy

Slope from rise and run

i = h / L→
Geodesy

Rise from slope

h = iL→