Elements of Geodesy

Cover Elements of Geodesy
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. They will rep- resent the corrections of the first, second, third . . . Pointings from the zero-mark usually a small quantity.
By multiplying out the parenthesis in the second member of (A), and transposing all the terms from the first, we have X- AX*+AX- AX Introduce into each parenthesis m l m v except the first, o =p l (x l m^]-\-p, \x, m* m 1 +*n l )+ #*(*> m*+m } m, ) CALCULATION OF THE TRIANGULATION.
For ^ ;;*, substitute x and for #// m l write w/; re- membering that m/ y which is to t
...ake the place of mf m t, does not mean the /th reading on the jth arc, as recorded, but the recorded reading minus the reading of the zero on that arc.
This will reduce the last equation to o =A*i +AX -AX 1 + AX -AX'+AX -AX 3 = (A + A 1 + A 1 + A>, +A'^ +A I *+A i C.
In the same manner the other equations (A) reduce to AX 1 + AX'+AX*- ..
= (A+A'+A'+A'--- AX'+AX'+AX 1 -..
= (A + A 1 +A' +A* - K+A' Likewise, equations (B) reduce to (A 1 + (A'+A 1 X ; = (A 8 - (D) When the signals observed upon are numerous, the solution of equations (C) and (D) would be very laborious.


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