EEE — — ——
Finally we will also take the measurements in the control points and
in arbitrary points into account.
We assume the control points to be located as follows
X = 0 = € Xs = bu
(334)
yi bb yi —6 ys 7-0
In these points the errors of the elevation measurements (the setting
of the floating mark) are assumed to be dh,, dh, and dh,. The corre-
sponding error in an arbitrary point is assumed to be dh.
The differential formula for the transformation of the elevations of
the strip into the system of the ground is
dh = dhy + xdn + ydé (335)
In this formula dh, is a translation, di; and d£ are rotations of the
strip around axes, parallel to the y- and x-axes respectively. dh is the
error of an arbitrary point with the coordinates x and y.
Now we want to determine corrections dh,, di; and d£ from the errors
dh, , dh, and dh,. From (335) and (334) we obtain the correction equations
dh, — — dh, — bdé
dh, — — dh, 4- bd£ (336)
dh, — — dh, — bndy
From the solution of (336) we find the correction
dh, + dh,
dh — 2 (337)
2
dh, -- dh, — 2 dh,
gp
di LI
dh, — dh,
D 339
d£ 2b (339)
We assume the errors of elevation measurements to be equal in all
points and to be represented by the standard error s, of the elevation
measurements.