### a. Similarities; Differences

Latitudes and departures are computed same as those for a loop traverse:

 Equation H-1

Where the two differ is in how their closure is determined and adjustments made.

On a loop traverse, the closure condition is:

 Equation H-2

But because a link traverse does not close back on itself, that condition does not apply. Instead, we need to know the location, relative or absolute, of the traverse's end points.

If we know the relative location, Figure H--12,

 Figure H-12 Relative Positions of Endpoints Are Known

the closure condition is

 Equation H-3

If we have coordinates of the endpoints, Figure H-13,

 Figure H-13 Endpoint Coordinates are Known

the closure condition is

 Eqn (H-4)

The latitude and departure errors would be a result of how well the closure condition was met. Linear closure and precision would be determined just as for a loop traverse.

### b. Example

Given the link traverse in Figure H-14 with adjusted directions and known end point coordinates:

 Figure H-14 Adjust Angles on a Crossing Traverse

(1) Compute latitudes and departures

 Line Direction Length Lat Dep QR S 56°23'38"E 398.75' -220.700' +332.104' RS S 75°17'42"W 422.89' -107.347' -409.038 ST N 43°05'47"E 604.49' +441.402' +413.004' sums: 1426.13' +113.355' +336.070

(2) Compute closure and precision

From the coordinates

The closure and precision are

(3) Adjusting by the Compass Rule

 Line Direction Length Lat Dep Adj Lat Adj Dep QR S 56°23'38"E 398.75' -220.700' +332.104' -220.715' +332.124' RS S 75°17'42"W 422.89' -107.347' -409.038 -107.363' -409.017' ST N 43°05'47"E 604.49' +441.402' +413.004' +441.379' +413.034' sums: 1426.13' +113.355' +336.070 +113.301' +336.141' check check

Adjusted lengths and directions would be computed the same as for a loop traverse, as would coordinates.