-40- 
& ) + 8245 (7; - Yo5) * Ze -:2 1) 
(x. x 
+ C 11; i 0j 
(agp; sin 6, + 8,55 cos 6) (x, - x) 
  
x! =0 
i 
+ (255; sin 6, * 855, COS 8.) ( yi " Yoz) 
;) 
+ (a,,. sin 6. + a 
0J 
325 yippee date, s 
;) 
(245; cos e - 8,7; Sin 8.) (x; "ir 
+ (2555 cos e; - 897, Sin 8!) (y; - Yo3) 
) 
* (a cos 8'. -8,,. sin 6.) (2; -z 
cos 8!) (x. - X 
j i 
223 
sin e! + a 
oj 
(215; 135 o4 
+ (a,, sin 6! + 8,55 COS ely (y; -y 
J o3) 
;) 
sin ©! + a 
J 0j 
* (4,5; 335 999 6!) (2i -z 
These may be used to determine the differential coefficients needed for the linearited colli- e 
nearityequations:j for polynomials the unknowns become with (11c) a, to f5 
dx! ax! 
v! = : 
x x. 2x 
2 O 0 
al dx. + 
2x; i 
The parameters in these equations are highly correleted, therefore the parameters must be 
constrained by quasi-observation equations introduced with weights P, = c ; in which $.2 
: : N ; ; à 
is the estimated variance of the constraint for an observation of zero di fference at 
chosen intervals x) °