62 



GEODESIC INVESTIGATIONS. 



With tlie giveu values of V , A', a, b, and e, 



and the approx. values of Z" and A", we find (either from tables which are 

 constructed for the purpose, or from well known formulae) : — 



The geocentric latitude 



The angle of the vertical 



The geocentric radius 



The geocentric radius 



The radius of curvatm-e 



The radius of curvature p" = 20,935,360. at station S", (approx.) 



A' = 48° 39' 



25-"8018 



y' = 0° 11 



22"-7882 



r' z= 20,883,240. 





r" — 20,882,524. 



approx. 



p' = 20,933,190. 



at station S'. 



p" = 20,935,360. 



at station S", 



2 d 



p' + P" 

 633,600. 



41,868,550. 

 O'Ol, 513,308 circular measure of d. 



The number of seconds in 2 is given by — 



2" == 2 X 206264"-80624 

 = 3121"-4218 



.-. 2=0° 52' 1"-4218 angular measure. 

 12=0° 26' 0"-711 nearlv. 







2d 



sin, i 2 



log 2d 



= 5-8018152 





2 



log sin J 2 



= 3-8788931 





.-. c = 316796-93 





3-6807083 



= 316797- nearly. 



log 2 



= 2-1799273 







.'. log c 



= 5-5007810 



I^p° The ver sin of d is about 600 feet, 









Flane Triangle. 





Sini 



C : 



/ r'.r" \ 



',' — 



20883240 





\. J 



o" = 



20882524 





log (s-r') = 5-1987683 



C =: 



316797 





log (s-^'J — 5-2007154 





42082561 -=- 2 



CO. log (r'-r") = 5-3604191 



s = 21041280-5 



s~r' = 158040-5 

 s-r" = 158756-5 



15-7599028 -^ 2 



.-. log sin I C = 7-8799514 ' 



•. i C = 0° 26' 

 (7 = 0° 52' 



4"-518 

 9"-036 



