On Practical Geodesy. 



57 



To find the length of k the chord connecting the stations. 

 We have — 



k = 



R,, cos I,, sin tt) 



sin A, cos a, 



cos I, =1-9023486165 

 sin o) = 2-3387529285 



k = 



R, cos I, sin 0) 







5-5623292745 



dn A, 



= 



r-8514912398 



cos a/ 



= 



1-9999672028 



sin A,, cos a,, 

 logR, = 7-3212526296 

 cos I, = 1-8965321441 

 sin (o = 2-3387529285 



5-5565377022 



sin A, r= 1-8456996715 

 cos a. = 1-9999671990 



1-8456668705 

 5-7108708317 



T-8514584426 

 log k = 5-7108708319 .♦. log k -- 

 log k = 5-7108708318 

 .-. k = 513890-787 



To find the length of the geodesic arc s connecting the 

 stations — 



^ • :S • sin 1" 



2 • sin J S 



log^ = 5-7108708318 

 log 5 = 3-7050032463 

 sin 1" = 6-6855748668 



4-1014489449 

 2-3905671803 



log 2 = 0-3010299957 

 2-0895371846 



sin J S 



2-3095671803 



logs = 5-7108817646 



s = 513903-723718 feet. 



To find the arcs OE,^ OE^,, or y,, y,„ whose sum E,E,^ is 

 the measure of the angle a . We have — 



sin V, sin O sin y„ = sin v,. sia O 



sin y, 



sinv, = 8-0895257164 

 Sinn = 7-3314915049 



siny,, 



sinv,, = 8-0895506513 

 sinO = 7-3314915049 



.-. siny, = 5-4210172213 sin y, = 5-4210421562 



.-. y^ = 0°,, 00',, 05" • 438039 .-. y, = 0°^^ 00',, 05" • 438352 

 .-. A = 0°,, 00',, 10'" • 876391 



To find the arcs e,, /,, whose sum = 8^. Since the pencil 

 I (S,S„OP) is harmonic, we have — 



I 



