Um...
Why would you want to adjust a traverse that closes 1:200,000+ in the raw?
That exceed the Connecticut State standard for A-2 Surveys by 40 times.
Can i hire your I-man/woman?
Compass Rule - starting-ending points order - same closure
Given the same orientation, the latitudes and departures for each course are the same regardless of the beginning and ending points. Since they are all the same regardless of order, the sums are the same. Additionally, the angles are all the same and as a consequence the sum is the same -- the sum of the interior angles is always a straight angle times the number of sides minus 2. These are the basic premises for computing a Compass (Bowden) Rule adjustment. Note that some prefer to adjust the traverse without prorating and eliminating the angular error. If computations indicate a differing adjustment as a function of changing the beginning and ending points for calculations, then the Compass Rule is not being used.
A note about orientation is in order. If the orientation is changed when differing beginning and ending points are used, the linear closure distance will be the same for any orientation. The closure direction will be rotated by the amount of orientation change.
See "Elementary Surveying" by Russell C Brinker, "Surveying Theory and Practice" by Davis, Foote, Anderson and Mikail or other surveying discipline books that define and explain the Compass Rule.
Compass Rule - starting-ending points order - same closure
> Note that some prefer to adjust the traverse without prorating and eliminating the angular error. If computations indicate a differing adjustment as a function of changing the beginning and ending points for calculations, then the Compass Rule is not being used.
>
> A note about orientation is in order. If the orientation is changed when differing beginning and ending points are used, the linear closure distance will be the same for any orientation. The closure direction will be rotated by the amount of orientation change.
You don't have to eliminate the angular error prior to adjusting by compass rule. But if you do check a closure first and then eliminate the angular error, you will get a different closure after the angular adjustment. (that is the premise of the thread, and the author was asking why the closure changed after angular adjustment)
If you check you closures at different points prior to adjusting the angles you will get a different closure at each point (when you change your beginning and ending points.) Why? Because every closure you check eliminates the use of one of the angles. For a different beginning and ending point, you are eliminating the use of that angle taken at the beginning/ending point as far as your closure check goes.
Please note, I am not arguing the appropriate procedure for running a compass-rule adjustment, but I am pointing out the angular dynamics in checking closure. If you use the compass rule of adjustment, you definitely use only one location for the "error of closure" that you need to use.