258 
C. Triangulation 1861 und 1862. 
Die Auflösung obiger Gleichungen giebt die Factoren I, II, III .. . wie folgt: 
I 
— 
+ 
7,58454 
XIII 
= — 0.17613 
XXV 
= + 
3,60370 
II 
= 
+ 
8,27575 
XIV 
= + 7,42744 
XXVI 
= 4- 
2,87748 
III 
— 
+ 
4,09296 
XV 
= — 1,58059 
XXVII 
= + 
24,27584 
IV 
— 
6,01680 
XVI 
= -f- 8,00821 
XXVIII 
= + 
6,49489 
y 
— 
+ 
3,08481 
XVII 
= + 1,22024 
XXIX 
= + 
1,82333 
VI 
— 
+ 
6,51021 
XVIII 
= + 4,67674 
XXX 
= — 
10,09268 
VII 
— 
+ 
10,71499 
XIX 
= — 0,16822 
XXXI 
= + 
21,63531 
VIII 
= 
+ 
1,48437 
XX. 
= 4 8,99664 
XXXII 
= + 
9,40286 
IX 
— 
+ 
4,95815 
XXI 
== + 1,22628 
XXXIII 
- _ 
15,23061 
X 
= 
3,37508 
XXII 
= 4 7,47624 
XXXIV 
= — 
2,97303 
XI 
= 
+ 
3,53104 
XXIII 
= + 4,79094 
XII 
= 
0,09095 
XXIV 
= 4 0,34243 
Auch ergiebt sich der, durch die Ausgleichung des Netzes zur Summe der 
übrigbleibenden Fehlerquadrate gelieferte Beitrag: 
Aus Gleichung I 
= 
3,1961 
Aus Gleichung XVIII 
= 
0,8844 
_ 
II 
= 
12,3658 
XIX 
= 
1,3501 
_ 
III 
= 
1,1176 
XX 
== 
4,8685 
. 
IV 
= 
7,6937 
XXI 
= 
0,4560 
_ 
V 
= 
0,0194 
XXII 
= 
4,8856 
- 
VI 
= 
0,9112 
, - XXIII 
= 
4,8257 
_ 
VII 
= 
15,7046 
XXIV 
= 
0,1534 
- 
V III 
= 
1,4993 
XXV 
= 
0,3380 
- 
IX 
= 
0,4498 
XXVI 
= 
6,9475 
- 
X 
= 
1,8392 
XXVII 
= 
0,4093 
- 
XI 
= 
5,7215 
XXVIII 
= 
1,0203 
- 
XII 
= 
0,7538 
XXIX 
= 
1,3442 
- 
XIII 
= 
0,0520 
XXX 
= 
0,9513 
- 
XIV 
= 
5,3375 
XXXI 
= 
2,6316 
- 
XV 
= 
5,7037 
XXXII 
= 
0,7930 
- 
XVI 
= 
4,0456 
XXXIII 
= 
60,5374 
- 
XVII 
== 
0,0019 
XXXIV 
= 
6,8047 
Summa 
= 
165,6137 
Durch Einsetzung der Werthe der Factoren ergeben sich dann die 
Verbesserungen: 
(1) 
= 
+ 
1,"118 j 
(18) 
= 
— 
0,"033 
(35) 
= 
+ 
0,"075 
(52) 
= 
— 
0,"431 
(2) 
mm 
— 
0, 035 
(19) 
= 
+ 
0, 
347 
(36) 
= 
— 
0, 062 
(53) 
= 
— 
0, 093 
(3) 
= 
+ 
0, 264 ! 
(20) 
= 
4- 
0, 
649 
(37) 
= 
— 
0, 084 
(54) 
= 
+ 
0, 064 
(4) 
= 
0 
(21) 
= 
— 
0, 
076 
(38) 
= 
+ 
0, 262 
(55) 
= 
+ 
0, 175 
(5) 
= 
— 
0, 098 
(22) 
= 
+ 
0, 
540 
(39) 
— 
— 
0, 118 
(56) 
= 
+ 
1, 425 
(6) 
= 
+ 
0, 102 
(23) 
= 
— 
0, 
011 
(40) 
= 
— 
0, 012 
(57) 
= 
+ 
1, 021 
(?) 
= 
+ 
0, 796 
(24) 
= 
+ 
0, 
258 
(41) 
= 
+ 
0, 140 
(58) 
- 
+ 
0, 633 
(8) 
= 
+ 
0, 568 
(25) 
= 
+ 
1, 
013 
(42) 
= 
+ 
0, 345 
(59) 
= 
— 
1. 003 
(9) 
= 
— 
0, 189 
(26) 
= 
+ 
0, 
699 
(43) 
= 
+ 
0, 389 
(60) 
= 
— 
0, 247 
(10) 
— 
+ 
0, 240 
(27) 
= 
— 
0, 
096 
(44) 
== 
+ 
0, 174 
(61) 
= 
— 
0, 596 
(11) 
= 
+ 
0, 480 
(28) 
= 
+ o, 
233 
(45) 
= 
+ 
0, 485 
(62) 
= 
+ 
0, 567 
(12) 
= . 
+ 
0, 371 
(29) 
= 
— 
0, 
040 
(46) 
= 
— 
0, 051 
(63) 
= 
+ 
0, 086 
(13) 
= 
— 
0, 219 
(30) 
= 
— 
0, 
247 
(47) 
+ 
0, 232 
(64) 
= 
— 
0, 339 
(14) 
— 
0, 410 
(31) 
= 
+ 
0, 
227 
(48) 
+ 
0, 379 
(65) 
= 
+ 
0, 933 
(15) 
= 
+ 
0, 233 
(32) 
= 
+ 
0, 
212 
(49) 
= 
+ 
1, 235 
(66) 
= 
+ 
0, 885 
(16) 
= 
+ 
0, 550 
(33) 
= 
+ o, 
504 
(50) 
= 
— 
0, 173 
(67) 
= 
+ 
0, 314 
(17) 
= 
+ 
0, 241 
(34) 
= 
— 
0, 
467 
(51) 
= 
+ 
0, 042 
(68) 
= 
+ 
0, 784