GEODESIC INVESTIGATIONS. 59 



Second Spherical Triangle. 



Far u, A and \" respectively ; and also I" and v" 

 II 



cos \ Ca— C) 

 tan i (4+ a>)=: ' cot \, A 



C08i(A+(7) 



sini (A— C) 



tan \ {A—w)z= ' cot ^ A 



smi(A4-C) ' 



sin ^ (A + ai) 



tan i A = " tau i (A— C) 



sin i(A-w) 



\" = 90° - A 



tan I" =: tau A" 



v" — I" - A" 



in -which A =: 90° —A' 



Third Spherical Triangle. 



For i", A", a", and the angle A between the normal planes at the stations, 

 both of ■which contain the chord c of stations. 



sin v" sin A sin v" sin h A cos | A 



2 sin 4 y" cos | 7" sin i 7" cos | 7" 



cot i A" = Bin ^ (7;;-'-g eot i (yi-i") 

 sm 2 (7 +;' ) " 



sin i (A + i") 



cot i a" = ■ — " tan ^ (y"—"") 



sin i (^— ^") 



angle A =^ i' — i" 



in which 7" = 90°+ 1 2 



