52 On Practical Geodesy. 



at the stations S^, S^^, which terminate in the polar axis, we 

 have the well known formula 



a a 



■^' = Jl—e" sin^ i] ^ ^" = Jl — e'^in^X, 

 and we easily obtain 



logR, = 7-3212526296; H, = 20953309-5777 feet ; 

 logR,, = 7-3212277292; E,, = 20952108-2495 feet. 



We will now proceed to find the values of the small arcs 

 S/> ^//. t)y means of formula 80. And as R^ cos V — R,, cos I" 

 enters in both numerators and denominators of the expres- 

 sions, we shall first find its value. Thus : — 



log R, = 7-3212526296 log R,, = ^-321227292 



cos I' = 1-7893417987 cos I" = 17794630249 



7-1105946083 7-1006907541 



,., / 12900145 48795 

 antnogs j 1260929351225 



.-. R, cos V — R, cos I" - 290851-9757 

 and log (R, cos V — R,, cos I") = 5-4636720181 



Now to find 8^ we have formula 80 or — 



e^ (R, cos V — R,^ cos I") sin V 

 **^ ^' " R^ — e^ (K, cos V — R,, cos I") cos V 



log e^ = 3~-8315591974 log e" = 3~8315591974 



5-4636720182 54636720182 



sin I' = 18965321441 cos l' = 1-7893419787 



3-1917633597 30845731943 



antilog = 1214-9913 



but R, = 20953309-5777 



.-. the value of the denominator = 209520945864 



and its log is 7*3212274459 

 3-1917633597 



,\ log tan 8, = 5 8705359138 

 .-. 8, = 0°,, 00', 15"-309501 

 To find 8,, we have the formula 80 or — 



e^ (R, cos I' — R,, cos l") sin I" 

 ^" " R,, + e" (R, cos I' — R,, cos l") cos I" 



