202 PROCEEDINGS OF SECTION A. 
in which ¢ and ¢' are the latitudes of the points at the extremi- 
ties of a line the azimuth of which is a; R is the radius of 
curvature at the middle latitude; N, the normal; S is the 
MS* 
GNI 
the modulus of the common system of logarithms. These formule 
may be taken as precise enough for all distances up to 50 miles. 
The deduced latitudes and longitudes are as given in the follow- 
ing table which also includes the positions of some few points of 
a western branch of the triangulation, not elsewhere mentioned 
in this paper :— 
length of the line ; f= =fsin *a; h=g sec*$'; and M is 
Geodetic Latitudes and Longitudes. 
Station. Latitude. Longitude. 
PAINS ON a esnenecousnce soem eeeree Si KG IMIS SH 149 9 35°434 
PANMeT gies Sees edes caaaisnanecn tens 3a) 09. 502720 150 45 43°425 
AllianoyOnyiga, <2 5...c....6.see- Shy SAHT/ IL 149 33 54:960 
Bal es eee nies cs acemeecaak ec eeeerne 338 26 52°417 150 14 26°805 
iBarnentdiackesseeeeeeeeerenere 34 58 0°577 148 36 29°565 
Base, L. George, South ......... Bi. Mey YN%b7o2 149 25 31:290 
Base, Richmond, North ..... SoD OMMOOLO MS 150 46 42°075 
Base, Richmond, South ...... 33 39 44:°628 150 40 58:°485 
Bin done nydastisecheetencas sete 33 40 44°571 150 0 40°485 
iBlackheathapeesecesec cence 33 38 38°943 150 17 9°375 
IO WAIN eet sates csmene eer 384 46 47°550 148 49 56:°265 
iBiweyMiountamleeseneeeeeeeeee ee 33 41 56°310 150 27 5°445 
IB tifa Omens. ccaessece seen cues 34 34 54°814 148 51 47:°985 
IBWKaONG biz accopeaceae. coho ne soes 36 48 28-070 149 9 35°882 
IB ULrAE. ee each ee eee ee SAD OMECO Ol 147 59 58-065 
Wastlemeaskrcn eee cathe eae ee 33 42 26°278 151 OF 5d:650 
Chatone tesa niet ae eae ae 34) (55)945 7322 149 17 32°640 
(OR One Bee aie nee ee a naemeae |e as Bi) ty, CULES 149 3 56°990 
Wonder wt scchosnanscoessodeeeeeeee 33 26 19-047 150 39 1°380 
Woon a BAerstascse ee 361d) 135396 149 4 47°384 
Wopperbanmiayeeeece-seeeneer: 33 51 57°566 149 14 28°440 
COLE Oi erancseacamssachenecece sae Si GS} aBsaSPall 148 48 41°790 
Cullaringieens ecsssete eee ee 34 43 33°156 149 23 49°395 
ID Evalbt oveesee carerapacondebennnovodocoe 34 6 24°468 148 56 23-700 
Bur kalwatananesoucben Sseacoeetee 33) 52) 175954: 150 28 14°745 
IME) aah” a aenerenconeterecpoecdsatonc 35 17 28°339 147 25 52:440 
Ea Gene ree eno aseus tc ceneceeeteeer 33 46 41°588 149 29 39-240 
(Clann ODM ences saeeenanccnes meoreee 33 57 49°317 151 6 49:110 
Geeoulllalonioy pesssscseseeceeeee 34 19 13°269 148 42 25:080 
Galoralltar ire 53. ho asscagdossteses 34 28  2:088 150 25 46:937 
Gros eleeeecccctrdvcsctsesncenne 33 37 30°388 150 37 2°985 
ETO Wand aaecncsccs ecsrorckonteesgen 33 49 13°904 149 3 20°460 
