On Practical Geodesy. 61 



cot i A, = 9-6200681684 cot J A, = 96200681684 



cos I (Z'—0 J ==9^9562174764 sin ^ (/'— 2J-9;6307496490 



19-5762856448 192508178174 



cos J (l' + 0,) = 9-9510220423 sin | (Z' + z,) = 96525942988 



.-.tan J (D,, + (o) = 9-6252636025 .-. tan J (D,,—a)) = 9-5982235186 



J (D,, + to) = 22°, 52',, 38"-7711 



.-. 1 (D,, — w) = 2r, 37', 38" -7719 



.-. D,, = 44°, 30', 17"-5430 

 0) = 1°, 14', 59"-9992 



1^" This case, in which the given latitude is greater than 

 the sought latitude, is made known to us by A^ being 

 greater than the angle D^^. 



To find L"— 



sin z, = 8-3895856868 sin l' = 9-8965321441 



sin A, = 9-8514912398 sin A, = 9-8514912398 



18-2410769266 19-7480233839 



sin (0 = 8-3387529285 sin D, = 9-8456993857 



.-. sin L" = 9-9023239981 .-. sin L" = 9-9023239982 



•/ L" = 52°, 59'-, 44"-4850 



or to find L" we may use the formula — 



tan |(L" - = $J#-^^| • tan 1 ., 

 Sin J (A, + D,) ^ 



To find 8, we have the approximate formula 84 — 

 8, = — ^ • sin L" sin J (L" + I') • (L" — I') 



or the more closely approximate formula 83 — 

 . g ^ 2 • e^ • sin 1 (L"-\-l') sin 1 (L" — l') sin L" 



^^ " ~ {I —e'') — 2' e'-smi (L" + Z') sin i (L" — Z') cos L" 



log 1—^2 = 3-8345160 



sin L" = 1-9023240 



sini(L" + I') =1-8994540 

 log (L" — I') = 3-5544268 



... log 8,, = 1-1907208 



8^, = 0°.00'. 15"-5139 



