74
We substitute the expression (139) and the following relations into (304)
i-n (n — p) (n — p + 1)(2n — 2p + 1) ;
2 (14+ n—1)2= = (305)
i=p+1 6
i=p pn 2p+1)2p —1
À (2: — LP — pli Jt ; ) (306)
i-1 3
i=n (n — p) (2n — 2 p 4- 1) (2 — 2 p — 1)
X (2a—i£idqgglc—M (307)
i=p+1 3
i=p (4 pP — 3 p — 1)
à (—1(2i— 1) DU EP = T (308)
i=1 6
iR : : (n — p) € l r*
2 (1+n—1)(2n—22+1)= o (n — p)(£n—4p- 3)-— |}; (309)
i=p+1
Further the weight numbers (176), (177), (180) and (257) are inserted
into (304). After some elementary calculations and rearrangements we
find
p (n — p) pe
Qryry = - 60 {2 p (n — p) + 1} [1 + 3 (310)
For b — d we finally find
p (n — p) :
Qn,n, — 2x v (250—545 (311)
The standard error is as usual found as
mp, = So | n.n, (312)
where s, is the standard error of the y-parallax measurements. See
diagram 16.
The formulae (311) and (312) demonstrate the error distribution of
the transformed z-eoordinates along the center line of the strip but
with certain approximations. First the errors of the measurements in
the control points and in arbitrary points are not included. Evidently,
these errors can be taken into account in adding the corresponding