364 
IV. A. Triangulation 1865. 
Die Auflösung dieser Gleichungen ergiebt die Werthe der Factoren I, II, III... wie folgt: 
I 
= 
— 
2,75011 
XIII 
= 
5,44589 
XXV 
— + 
2,51472 
II 
= 
— 
1,83259 
! xiv 
= 
+ 
2,45468 
XXVI 
= 
1,19707 
III 
— 
+ 
1,68837 
XV 
= 
+ 
5,08762 
XXVII 
0,16961 
IV 
= 
+ 
10,09246 
XVI 
= 
+ 
3,27103 
XXVIII 
= + 
4,18814 
V 
= 
+ 
10,13436 
XVII 
= 
2,82604 
XXIX 
2,54879 
VI 
= 
+ 
12,04490 
XVIII 
= 
1,90505 
XXX 
= — 
2,25225 
VII 
= 
+ 
11,41189 
XIX 
= 
+ 
3,78750 
XXXI 
= + 
6,66637 
VIII 
— 
+ 
0,41948 
XX 
= 
1,95193 
XXXII 
22,87504 
IX 
= 
-1- 
7,66368 
XXI 
= 
+ 
7,40918 
XXXIII 
= — 
3,34256 
X 
= 
— 
0,46641 
XXII 
= 
+ 
4,36445 
XXXIV 
= — 
1,04486 
XI 
= 
+ 
1,61249 
XXIII 
= 
+ 
3,00724 
XII 
= 
+ 
1,53714 
XXIV 
= 
+ 
0,09346 
Zugleich ergiebt sich der durch die Bedingungs-Gleichungen geforderte 
Zusatz ($$) zur Summe der Quadrate der übrigbleibenden Fehler, wie folgt: 
Aus Gleichung I 
= 
0,7413 
! Aus Gleichung XVIII 
= 
0,5738 
- 
II 
= 
4,4045 
XIX 
= 
12,7628 
- 
III 
= 
0,8066 
XX 
= 
5,1878 
- 
IV 
= 
0,0602 
XXI 
= 
7,9916 
- 
V 
= 
3,9087 
XXII 
= 
2,2572 
- 
VI 
= 
6,0847 
XXIII 
= 
1,5131 
- 
VII 
= 
11,1067 
XXIV 
= 
0,1138 
- 
vm 
= 
0,6066 
XXV 
= 
1,2444 
- 
IX 
= 
11,2088 
XXVI 
= 
0,2710 
- 
X 
= 
1,1303 
XXVII 
= 
0,1983 
- 
XI 
= 
0,0009 
XXVIII 
= 
12,5895 
- 
XII 
= 
1,6894 
XXIX 
= 
0,1645 
- 
XIII 
= 
13,4844 
XXX 
= 
1,3686 
- 
XIV 
= 
1,6660 
XXXI 
= 
0,2568 
- 
XV 
= 
0,7699 
XXXII 
= 
47,3863 
XVI 
= 
2,8937 
XXXIII 
= 
1,8177 
- 
XVII 
= 
0,0499 
XXXIV 
= 
0,6089 
Summa (562$) 
= 
156,9187 
Mit den gefundenen Wertlien der Factoren ergeben sich die Werthe der Ver 
besserungen (1), (2), (3) ... (78), wie folgt: 
(1) 
= 
— 0 "122 
! (21) 
= 
+ 
0,"518 
(41) = 
— 
0,"015 
! (61) 
= 
— 
0,"127 
(2) 
= 
+ 0, 018 
I (22) 
= 
+ 
0, 642 
(42) = 
+ 
0, 661 
(62) 
= 
+ 
0, 175 
(3) 
= 
— 0, 304 
(23) 
= 
+ 
0, 600 
(43) = 
+ 
0, 395 
(63) 
= 
+ 
0, 190 
(4) 
= 
— 0, 384 
' (24) 
= 
+ 
0, 430 
(44) = 
+ 
0, 051 
(64) 
= 
0, 236 
(5) 
= 
— 0, 135 
| (25) 
= 
+ 
0, 730 
(45) = 
— 
0, 023 
(65) 
= 
i 
0, 499 
(6) 
= 
+ 0, 286 
(26) 
= 
— 
0, 455 
(46) = 
— 
0, 032 
! (66) 
= 
0, 019 
(7) 
= 
— 0, 036 
(27) 
= 
— 
0, 452 
(47) = 
— 
0, 501 
(67) 
= 
+ 
0, 225 
(8) 
= 
- 0, 139 
(28) 
= 
— 
0, 673 
(48) = 
— 
0, 089 
(68) 
= 
+ 
0, 145 
(9) 
= 
— 0, 063 
(29) 
= 
— 
0, 272 
(49) = 
— 
1, 171 
(69) 
= 
+ 
0, 446 
(10) 
= 
+ 0, 686 
(30) 
= 
— 
0, 306 
(50) = 
+ 
0, 463 
(70) 
= 
+ 
0, 380 
dB 
= 
+ 0, 939 
(31) 
= 
+ 
0, 004 
(51) = 
+ 
0, 124 
(71) 
= 
1, 344 
(12) 
= 
+ 0, 336 
(32) 
— 
0, 387 
(52) = 
— 
0, 084 
(72) 
= 
— 
0, 515 
(13) 
= 
— 0, 463 
(33) 
= 
— 
0, 116 
(53) = 
— 
0, 066 
(73) 
= 
— 
0, 574 
(14) 
= 
- 0, 237 
(34) 
= 
— 
0, 036 
(54) = 
— 
0, 040 
(74) 
= 
+ 
0, 247 
(15) 
= 
+ 0, 401 
(35) 
= 
+ 
0, 234 
(55) = 
— 
0, 308 
(75) 
= 
0, 544 
(16) 
— 
+ 0, 247 
(36) 
= 
— 
0, 044 
(56) = 
+ 
0, 005 
(76) 
= 
+ 
0, 750 
(17) 
= 
+ 0, 460 
(37) 
= 
+ 
0, 047 
(57) = 
— 
1, 125 
(77) 
= 
0, 309 
(18) 
= 
+ 0, 609 
(38) 
= 
+ 
0, 402 
(58) = 
— 
0, 148 
(78) 
= 
— 
0, 015 
(19) 
= 
+ 0, 472 
(39) 
= 
+ 
0, 290 
(59) = 
— 
0, 126 
(20) 
= 
— 0, 691 
(40) 
= 
+ 
0, 283 
(60) = 
+ 
0, 082