or, simply 
  
  
| 
| | ET 2 ai Fo] | v | 
I Pis 12 13 | | “13 yl 
| Mn i at j f | = oF = | x 
| So ta Isl A or, of (1£) 
| | al al at. | | z = | 
i i 31 $3 fl: D 21 
| A 3lI | | 9] 
The elements a3, and a3, of the matrix Al are chosen as independent 
| elements of rotation and called tilt elements. The remaining ele- 
M ments are now simple functions of the tilt elements 
  
| i = i/1 - i 2 = 2 
a33 7 V1 7 (40? - (45) 
: a m 
i = = 1i 2 
Mac ar ty) 
i 31 i i ; 
a ho od i i 
| Sn he du ide 
| ic d i 
à 212 252." ^31 
I à vu line À 
ada naar 233 
We see that if the tilt elements of all models in a block are known, 
the transformed coordinates (uj 4; Vi j> wi 4) of all mea- 
sured model points are determined; see: the rel. (1f) and (1g). In 
other words, the models are levelled. This means that a planimetric 
triangulation can be carried out next. The two-dimensional transfor- 
mation equations are obtained by elimination of the coordinates 
fij» $1j and tij from the eq. (lc) and (ld). 
E ob doe uud 
cose =“ sink 0 Pu] 
  
ei 
t 
= 
  
| | 
| 4 s | 1 i for Eo 
Ja¥ aus Yom A... dl osink COSK 0 | lava | (1h) 
food T i4 | 13 | 
| 2 589 2] Bid 0 0 pow 
i 3 i! i i iji 
L- zl Ee — 2 
1 3 
or, simply 
T [77 m] I [T 73 
[x - x] | 5.. -b, oi lu J lu. 
L j il il 21 | | 45 | i | 1| 
! Y «| = | = 3 i 
| . " Y.|. 9 A. | b b 0 Iv. * A.B E. Vl 
| 53 i| Loqu' 21 11 Pd Age ET 4 083] 
| | 
Zt Val | D 0 11 jw, | EV. oi 
| 3 i : i i i i 
j i | | (IHN rr 
| (11) 
| in which 
0 
| rm errr, 
I / H 
| „1 / nt 
bu V1- § 
According to the last equation of (1f), equation (li) can also be 
written in the form: