24
el .228=+ .4012 X .149 -f- .0798 X .618 .0101 X .122
r -0990 X 3.533 .0635 X .187
ei -136, etc.
e\ e1 .3495 x .1492—2X .0798X .149X .618 2 X
X .0083 x .149 X .122 etc.
-205
«3 .3495X.149X .298 .0798 (.149X.236 298X.618)
-0083 .149 X .1747 .298 X .122) .0050 (.149 X .749
.298x3.533) etc.
.023.
el -38056 x .149+ .09520 x .571 -3943 X .062 .07923 x
X 3.465 .06256 x .975 —.227;
e3
e
e1 .2416 x .5712 .0115 x .0622 .0087 x 3-4Ö52 0.160 x
X -9752 4- .20s
as
x.9752 .205;
5. 5
I lx T
-29274. .24162, -|- .OII54,
1'1 2,2 3,3 M 4,4
.00868, 1 .01596 =Gp„.
e1, e3 .023.
VII. Discussion.
A. An investigation of the cofactors-tensor of the directions after
their orientation, once the adjustment of the triangles is ready,
shows that in a triangle-chain only the symmetry about the second
diagonal is maintained. This can be derived either by expressing
the oriented directions as functions of the original directions and
their corrections, or by using the newly derived tensor. Moreover
the relations between the tensors of chains with different numbers
of triangles are not simple.
In chains of quadrilaterals, even the symmetry about the second
diagonal vanishes, although other lines of symmetry appear, so
that not every cofactor has to be calculated. As in the triangle-
chain, no simple relation exists either between the tensors of various
numbers of quadrilaterals.
In both cases no general tensor can be given.
B. When angles are observed instead of directions, the tensor
after the adjustment of the angle-conditions is very simple, as
every triangle is adjusted separately. The calculations as treated
in V can always be applied if necessary.
C. It is emphasized that in the calculations of III and IV no
approximations occur.
D. The new way of computing will now be compared with the
