Coordinate geometry
Coordinate geometry: inverses, forwards, intersections, resection, offset shots, traverses, and areas.
Coordinate geometry on plane survey coordinates: inverse and forward, intersections, resection, offset shots, station and offset, traverse closure and adjustment, least-squares networks, and area by coordinates. It is for surveyors reducing field work and checking plats. Start with the inverse tool for a bearing and distance, or traverse closure for a loop. Check angular closure before linear closure: the compass and transit rules spread a blunder across every course instead of finding it.
No tools here match . or .
I want to find bearing and distance between two points, or a point from them
- Inverse between two coordinates
The bearing, azimuth, and horizontal distance between two plane-survey coordinates (northing, easting).
- Coordinates from a bearing and distance
The coordinates of a point from a known point, a bearing or azimuth, and a horizontal distance (a radial sideshot).
I want to locate a point the prism could not sit on
- Total-station offset shot
The coordinates of a point the prism cannot sit on: from a shot beside it with left, right, in, or out offsets, or from an angle offset to the center of a tree or pole.
I want to find where two bearings or distances meet
- Intersection (bearings and distances)
Where two lines cross, a line meets a circle, or two circles meet: bearing–bearing, bearing–distance, and distance–distance intersections from two known points, every solution returned and labeled.
I want to locate my station from three control points
- Three-point resection
The coordinates of an occupied station from the angles it turned between three known points, by Tienstra's method, with a warning when the station is near the danger circle.
I want to find a point's station and offset from a line, or set one out
- Station and offset from a line
A point's station and offset from a straight alignment, with the foot of its perpendicular, or the point at a given station and offset. Offsets are positive to the right.
I want to check and adjust a traverse, angles and distances
- Traverse closure and adjustment
Latitudes, departures, linear misclosure, and precision ratio for a closed loop traverse, adjusted by the compass (Bowditch), transit, or Crandall rule.
- Angular closure of a loop traverse
How far a loop traverse's measured angles miss their geometric sum, (n − 2) × 180° for interior angles, against an allowable K√n, with the angles balanced.
I want to adjust a network by least squares, with error ellipses
- Least-squares network adjustment (2D)
Adjusts a small horizontal network of distances, angles, and direction sets by weighted least squares, with adjusted coordinates, standard errors, 95% error ellipses, the reference variance, and a chi-square test.
I want to find an area from coordinates
- Area by coordinates (acreage)
The area enclosed by plane-survey coordinates by the coordinate (shoelace) method, in square units, acres, and hectares, with the perimeter.