Geodesy
Coordinates and angles
Coordinate increments, distances, azimuths and midpoints.
Geodesy
Coordinate increment X
ΔX = X₂ − X₁→GeodesyCoordinate increment Y
ΔY = Y₂ − Y₁→GeodesyDistance between coordinates
S = √(ΔX² + ΔY²)→GeodesyAzimuth from coordinates
A = atan2(ΔY, ΔX)→GeodesyMidpoint X coordinate
Xₘ = (X₁ + X₂) / 2→GeodesyAzimuth from bearing
A = f(r, quadrant)→GeodesyBearing from azimuth
r, quadrant = f(A)→GeodesySlope angle from grade
α = arctan(i)→GeodesyGrade from slope angle
i = tan(α)→GeodesyPolar coordinate X
X = r cos α→GeodesyPolar coordinate Y
Y = r sin α→GeodesyPolar radius from coordinates
r = √(X² + Y²)→GeodesyPolar angle from coordinates
α = atan2(Y, X)→GeodesyDelta X from distance and angle
ΔX = S cos α→GeodesyDelta Y from distance and angle
ΔY = S sin α→