← All Survey Calculators
Intersection Calculation
Determine the intersection point of two survey lines from coordinates, bearings, or azimuths, with optional line-length checks and full coordinate computation.
Intersection from Two Survey Lines
Enter the coordinates of two known stations and the bearing/azimuth of each line. The calculator returns the common intersection point and distances from each station.
Station A
Station B
Bearing Settings
For quadrant bearings, enter values such as N 45 E, S 30 E, S 60 W or N 15 W. WCB/azimuth values are clockwise from North.
Enter two station coordinates and their bearings to calculate the intersection point.
Distance & Bearing Intersection
Compute an intersection using a known point, bearing from that point, and a second point with a measured distance to the intersection. Both mathematical solutions are reported when they exist.
Known Line
Distance Constraint
Solution Selection
Enter the line and distance constraint to calculate the possible intersection points.
Intersection Formula Reference
Survey coordinate conventions used by this calculator.
Line componentsΔE = d sin α
ΔN = d cos α
ΔN = d cos α
Line intersectionE = E₁ + t sin α
N = N₁ + t cos α
N = N₁ + t cos α
2D cross productDenominator = u × v. A zero value means parallel or coincident lines.
Circle intersectionAlong A: t = a ± √(r² − h²), where a is the projection onto A's line.
Sign convention: Easting increases eastward and northing increases northward. Whole-circle bearings/azimuths are measured clockwise from north: 0° = North, 90° = East, 180° = South, 270° = West.