Full text: Die Haupt-Triangulation in Schleswig-Holstein (2. Theil, 1. Abtheilung)

20 
A. Die Flaupt-Triangulation in Schleswig-Holstein. 
- 
K ] 
+ 
i [(»)] = 
26 X, 
- 
| [a 
] rn, 
+ 1 
[b] 
+1 W 
m,„ 4 
1 
X 
[d] m iy 
- 
K1 
+ 
1 [(»)] = 
26 x„ 
+ 
i L" 
] rn, 
3 
4 
: M 
m„ 
+ i M 
I m„, 4 
j 
4 
[d] m iy 
- 
KJ 
+ 
1 [«J = 
26 x,,, 
4- 
H a 
] ™, 
+ 1 
■ w 
m„ 
A[c] 
m,f, 4 
i 
[d] m iy 
- 
(/hv ] 
+ 
f [(«)1 = 
26 x iy 
+ 
i [« 
] m , 
+ 4 
ib] 
m„ 
+ i W 
m„, - 
3 
4 
[d] m iy 
[a 
n, ] - 
” X 
[<=>(»)] = 
-1 L fl ] 
X, 
+ X 
L a l 
x ff 
+ t 
[a] , 
X ttr + 4 
[a[ x iv 
[* 
1 - 
1 
X 
[*(»)] = 
+ 1 [*] 
X, 
3 
X 
[¿1 
X„ 
+ i 
[6] , 
X;rt + 4 
[6] X ly 
[« 
n f ") - 
1 
X 
[«(»)] = 
+ 1K) 
X, 
+ i 
bl 
X„ 
3 
X 
[c] x,, f 4 
[c] x iy 
\d 
^n ] — 
1 
4 
K»)] = 
+1 [4 
X, 
+ i 
M 
X,, 
+ 4 
[d] x,„ - f 
[d] x„ 
+ 
f [aa] m, 
1 1 
X 
\ab] 
m„ 
4 
[ ac ] 
m,„ - 
| [ad] 
m iy 
- 
\ [ab] m, 
+ X 
[M] 
m„ 
l 
“ X 
L*e] 
m,„ - 
4 [bd] 
m v 
V 
— 
\ [ac] s 
m, 
1 
X 
N 
m„ 
.? 
+ X 
[««] 
m,„ - 
4 M 
m v 
V 
- 
\ [ad] m, 
1 
X 
[bd] 
1 
"" X 
N1 
m,„ 4 
4 [dd] 
m v 
V 
Wird in die letzten 4 dieser Gleichungen die Bedingung 
£ r -f- X„ -|- X,„ + X iy = 0 
eingeführt, so nehmen dieselben die einfachere Form an: 
[an, ] - \ [a(n)] - - [a] x, + \ [aa\ m, - | [ab] m„ - \ [ac] m,„ - \ [ad\ m iy 
[bn„ ] - | [¿>0)] = - [6] x„ - | |a 6] m, + \ [66] m, t - \ [6 c] m,„ - F [bd] m IV 
[cn,„] - ± [ein)] = _ [c] x nt - ^ [ac] m, — \ [6c] m„ + \ [c c] m,„ - \ [cd] m iy 
[dn lv ] - £ [d(n)] = - [d] x iy - \ [ad] m, _ \ [bd] m„ - % [c d\ in,,, + f [dd] m, y 
Durch Substitution der Zahlenwerthe aus den 104 vorliegenden Gleichungen 
gelangt man dann für die Bestimmung von x f . . . . , m, zu den 
— 
5.96342 = 
26 x, 
+ 
9,59858 = 
26 x,, 
— 
2,17012 = 
26 x m 
— 
1,46502 = 
26 Xn 
4- 
9,89221 = 
— 37,3628 x, 
— 
13,64680 = 
— 40,5746 x„ 
+ 
4,49219 — 
— 38,3274 X,,, 
+ 
3,52521 = 
— 39,8865 a"iv 
Endgleichungen: 
— 28,02210 m, + 10,14365 m„ 
+ 9,34070 m, - 30,43095 m„ 
4- 9,34070 m, + 10,14365 m n 
+ 9,34070 m, + 10,14365 m, 
4- 43,67107 m, — 14,85126 m t , 
— 14,85126 tn, + 50,77358 m„ 
— 14,10773 m, — 15,22348 m„ 
— 14,60710 in, — 15,86450 m, t 
+ 9,58185 m,,, 4- 9,97162 mn 
+ 9,58185 m,,, 9,97162 mn 
— 28,74555 m, n + 9,97162 m iy 
-f- 9,58185 m„, — 29,91488 m iy 
— 14,10773 m,i, — 14,60710 mn 
— 15,22348 m„, —- 15,86450 m ty 
4- 45,51104 m,,, — 14,93908 m, y 
— 14,93908 m,„ + 48,94014 m ty 
Setzt man die Werthe von x, x„ x„, x lv aus den ersten 4 Gleichungen in die 
4 letzten, so findet man die Gleichungen für m, m,, m„, m Jy 
4- 1.32259 = 4 3,40244 m, — 0,27453 m„ — 0,33831 m,„ — 0,27757 nm 
4- 1,33237 == — 0,27453 m, + 3,28421 m„ — 0,27041 in,,, — 0,30316 mn 
-}- 1,29314 = — 0,33831 m, — 0,27041 m„ 4- 3,13632 m„, — 0,23960 mn 
4- 1,27772 = - 0,27757 m, — 0,30316 m,, — 0,23960 m,„ 4- 3,04782 wi JV
	        
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