54 On Practical Geodesy. 



To find L" we have formula 79 or — 



^ ^ E,, cos I' 



cot L" = (1 — e-) cot ^" + e- • ^^ ^^^ ^,, 



log(l _e2) = i -9970432059 

 cot I" = 1-8771144084 



T-8741576143 antilog = 0-7484410756 

 log e' = 3-8315591974 log B., = 7-3212277292 



logK, = 7-3212526296 



sinT = 1-9023486165 



cos I' = 1-7893419787 



7-2235763457 



4-9421538057 

 7-2236012457 





3-7185525600 



antilog = 00052309 125'5 

 7484410756'5 



.-. nat cot L" = 0-7536719882 

 .-. log cot L" = 1-8771823669, and L" = 52°,, 59', 44" -4867 

 tlie error of 0"-0018 being due to the insufficiency of the 

 tables or to their inaccuracy in the 10th decimal places, &lc. 



Now, in each of the spherical triangles S,PD,„ S,,PD,, 

 S,PS,,, we have the two sides and the included angle w from 

 which we can find the angles at their bases and also the 



To find the angles A„ D,„ and base z^ of the triangle 

 S.PD,— 



cot 1 o) =11-9622253888 cot J w =11-9622253888 



cos J (L"— I') = 9-9999836052 sm J (L"— I') = 7-9389661700 



21-9622089940 19-9011915588 



cos 1 (L" + I') = 9-7844684133 sin J (L" + r) = 9-8994541209 



tanJ(A, + D,,) = 12-1777405807 tan 1 (A— DJ = 10 0017374379 

 .-. I (A, + D J = 89°,, 37',, 10" • 133745 



.-. 1 (A, — D„) = 45°,, 06',, 52" • 590185 



.-. A, = 134°,, 44',, 02" • 72393 

 D,, = 44°,, 30',, 17." -54356 



