4
____L
By substituting (3) in (2) the normal-equations are obtained:
mp Kp G"° P. (4)
The solution of (4) is Kp=Gpata (5)
and the minimum E =K?fr. (6)
Finally the formula of the cofactor of the value Ff BP":
grocS /9 Gpa LA" Iw, (7)
in which Lg"P B ufd.
0 a
In this formula (7) the first term on the right side represents the
cofactor of B p" and the second one that of B e".
a a
III. The cofactors of the directions in a chain of triangles, adjusted
for the angle-conditions.
A) The directions in a chain of triangles are numbered according
to a certain system:
1) If there are n directions (always even), the sum of the numbers
of two mutual directions is always n 1
2) (See examples.) If A is regarded to be the vertical angle of A 1,
B the one of A 2, C of A 3, then the legs of this angle have to be
numbered first. Of angle A the leg pointing to the angular point
with three directions is given number I (fig. 1).
Fig. i
The angle- conditions can be written in a scheme:
a"—
1
2
3
4
5 I 6 I 7
■£n-2
in-1
■Jn+1
{m+2
"èn+3
n-6
n-5
n-4
n-3
r.-2
n-1
n
t
K-1
-1
+Ï-1
-1
+1
-1
1
1
2
+1
-1
+1
-1
+1
-1
2
3
-1
+1 -1
1
-1
+1
3
P
I
+1
1
1
1
+1
+1
P
The corrections are, if all directions have equal weights and are
not correlated:
