TRIGONOMETRICAL SURVEY OF NEW SOUTH WALES. 187 
Me 
Drnsstassl SiO S878 0 uitial CLES betcctr etc sacentdccsemesencomiassce nas! ssodennes + 0-432 
1 Rhenish and Hessian series of the Geodetic Institute, 
CAT inept cine eS eaenert asia leo aintae Santhosecncsnciuncadeab ncwesdece + 0°769 
Roumania, 1855-57, and 1875-88, about 250 triangles ............ + 0°958 
Russia, along 52nd parallel, 1827-85, 43 triangles sth Wir rk + 0-870 
. A 5 1827-88, 38 Salt rsatctdcenepcctcd + 0:950 
x 3 1827-88, 67 Ne anaes eer eanae HORE ae Wey, 
, . J 1827-88, 64 Saree | Marectasas cr eecneant + 1:290 
. a 1827-88, 84 hen nee Rete + 1:000 
Saxony, MSG =7857 WOT tra GleSascemecccsirc ae daacnasasieuaaea quae ceactaetnoncr =E 10°350 
South Africa, with 10-inch “Repsold theodolite, 134 triangles....., + 0°495 
5 with 18-inch T. &S. FA 100 PP acta = O35 
Maclear’s angles generally, 64 Ser Lereones + 1:140 
Spain, "1868-76, 57 tr iangles Of the Wertdarcroup nn... cc.ss.eseoe ane + 0°610 
Sweden, 1823-88, 384 triangles coo dOCRU A EOREE citc deRan dace Sunnnese cearpeere == 1470 
Switzerland, 1854-68, 40 triangles ido ge ee Rae Aes ean a aa Se ES ED + 0°856 
United States, Coast Survey, flat country, 198 triangles............ Se 11185 
- San Francisco and Salt Lake, 31 
PGIAMOVES*  sicniscegisedganccmcmeeionies Ree once enaccad ween rears + 0°375 
Wiortemiburne, 87888; S triangles 2... ncesanscevenes ie) ogeontecensers + 0°720 
For New South Wales, as deduced from the 95 primary 
triangles already observed, 
m = + 0:469 
while that value would be reduced to + 0°386 by the omission 
of four triangles, in which the error is abnormally great, and 
which would be rejected by Pierce’s criterion. 
The above figures speak for themselves in showing that our 
work is probably equal to that done in any part of the world. 
LOCAL AND ‘“ FIGURE” ADJUSTMENTS. 
South from the Lake George base the triangulation has been 
reduced by (1) determination of the most probable directions at 
each station with reference to the observations at that station 
only, (2) formation of equations of condition for each geometrical 
figure involved, using the angles between the directions derived 
from the previous step, (3) reduction by the method of least 
squares of the most probable corrections to satisfy the equations 
of condition, which work forms the most laborious part of the 
whole operation. 
The mode of adjustment will be best followed from the accom- 
panying example. 
* This result is given, as showing some of the best work done in the United States, 
though it includes the errors of only a small number of triangles. For the whole 229 
triangles a value of + 1°110 is found for m. : 
