TRIGONOMETRICAL SURVEY OF NEW SOUTH WALES. 185 
have been prepared for the computation of these and some few 
other functions. 
a@ = 6974378 yds. ) log. @ (in chains) = 5.5010828,009 
b = 6951143 yds. { log. 6 (in chains) = 5.4996335,422 
2_ 32 af 
e a 006,651,861,006 ; log. e? = 3°8 229431, 658 
1—-@=  -993,348,138,994; log. (l—e?) = 1°9971014,825 
Chains 
then R = 316489°3 — 1584:2 cos2 @ + 3°3.cos4 
[3°19981] [0°519] 
= 5 at =e — R} x [3-6683547] 
r RN e 2 2.90% = 
a peas Nos 2a Sele res 2 COS 26 cos 2a=N (1—[8°8258417 
cos 2p cos 2a +[5°65168] cos #p cos 4a — [7477] cos ° cos %a + etc.) 
$ — ¢!=688'312 sin 26- 1-48 sin 4p + 003 sin 6 
[2°8377851] [006012] [7407] 
log. p = 9°999,277,185 + *000,724,834 cos 2 6 — 000,001,814 cos 4 ¢ + 
[6°8602362] (4°25864] 
000,000,004 cos 6 } 
[1°602] 
Length of merid® arc =316489°3 / — 1584°2 sin 7 cos 2 $y +-3°3 sin 2/ cos 4 $y 
[5°5003590] [3:19981] [0-519] 
Length of 1° of merid® = 5523-780 — 27-648 cos 2 gy + 0°115 cos 4 gy 
[1-44167] [9-062] 
Length of radius of parallel = 317281°44 cos @ — 264°58 cos 3 @ + 0.33 cos 5 @ 
[5°5014447 | [2°42256] {9:°519] 
Length of 1° of longtitude = 5537°606 cos ¢-4°618 cos 3 @ + 0°006 cos 5 @ 
[3°7433221] [066444 ] [7'761] 
1 
Log. 2N Rein I” 4:0112320 + :0028985 cos 2 @ — “0000024 cos 4 } 
[7°4621729] [43834] 
= [8°6782856] cos @ — [1°2019649] cos 3} + [2°6004197] cos 5 p 
“ = seml-axis major, ) = semi-axis minor, e = eccentricity. 
ap re of curvature of meridian. 
i 
} normal, 
"a = radius of curvature at azimuth a. 
p = distance from centre to surface. 
@ = geographical latitude. 
g¢' = geocentric latitude. 
¢) = mean of latitudes of terminals of are. 
2 = amplitude of meridian are. 
A = area in square miles of figure bounded by meridians and parallels 1° 
apart. 
