-30-
1.
Since the ilp curves have zero ordinates at both ends of the bridged
distance, the integral curves will have zero slope at both ends.
absissa L/2, the integral curves will have to be "reflected" at a
point whose absissa is L/2. This leads to the conclusion that the
values for and ^LL^^in the middle of the curve (for L/2)
will be equal to one half of the value of the corresponding terms
at the end of the curve (at L). As an example, we will have
These two characteristics of the curves representing jLL^y&
jU^are shown in Figure 11.
In determining jLL^^, ¡JL ^y,/^|_|for a bridged distance X, it will
be necessary then to determine | for a distance equal
to X/2 and multiply the result by 2 to get the mean square errors in
determining X, Y and Z at the end of the bridged distance.
To get the accuracy of determining the position of any point
after applying the Cross-Bases Method adjustment, the following
generally accepted formula will be used:
(73)
Combining equations 50 thru 53> equations 57 thru 68 and equations
54 and 55* and. dropping the terms including the derivatives of the quasi
observations (insignificant compared to the other terms, especially
when squared), we get the following equation:
(74)