TRIGONOMETRICAL SURVEY OF NEW SOUTH WALES. 201 
from the figure. The following is a comparison of the two 
systems of corrections :— 
Correction. Excluding Pilot. Including Pilot. 
(1) — *030 — 029 
(2) + 045 + 045 
(3) + *029 + °039 
(5) — ‘152 — ‘144 
(6) + ‘240 + ‘238 
(7) — ‘131 — 129 
(8) — ‘103 — ‘116 
(9) + °336 + "344 
(10) — 302 — ‘298 
(11) + +149 + 143 
(12) + ‘182 + ‘188 
(138) — 233 — '228 
(14) + :215 + ‘201 
(15) + 077 + ‘078 
(16) + “065 + ‘061 
(17) + +146 + +150 
(19) — -290 = “318 
(21) -—1-011 —1:002 
(22) + 391 + 393 
(23) — -055 — ‘079 
Thus it is shown that in each case, although the conditions are 
not the same, the same angle is proved by the principle of least 
squares to be responsible for almost the whole of the abnormal 
error of close in the triangle Numbla, Wambrook, Kosciusko. 
GEODETIC POSITIONS. 
For the reduction of the geodetic latitudes and longitudes of 
the stations, the Sydney Observatory has been adopted as a zero 
point, its accepted position being latitude 33° 51’ 41:1” S., longi- 
tude 151° 12’ 23:1” E. Also the azimuth of the triangulation 
has been referred to the known azimuth of the meridian mark of 
the same Observatory. The formule used in calculating the 
positions of the stations are— 
S cos a 
log (f:- $)=lgRa yt 29 
S? sin *a tan ¢, 
1 a WEES Real 
Preeti. VNR ginal” 
S sin a 
432 = 28 N cos ¢! sin v) ein 
1 
a 
log v =log ( sin 2 =e) ae 
