ÖFVERSIGT AF K. VETENSK.-AKAD. FÖRHANDLINGAR 1899, N:0 7. 675 



dndz __ ^ 

 + Y 



e cos viTt 



+ 1 



+ 



^ + (1 + e-) cos Imn; — ^ + l\ — 



^cos {2m — l7t+2l)\+W cos</)sin inift — - +l\ 



^ cos (p sin (2 m — 1 7C + 2 X) 



(12) 



or 



dndz ^ r-. 



+ y 



e cos mjT SI 



n A] + 



3g g 



-;^ + (1 + ß-) cos 7n7t sin /t + ^ cos 21 



+ 



cos (f cos WTC- cos A + ;^ cos (f sin :^ 



2^ 



(13) 



or by putting the values of H, Y and '"¥ found from (6) in (13) 

 we eet 



dndz 



~dr 



+ 



+ 



m 

 <2) -i , q(2 



[1 — e cos 7?i7r sin /I] + 

 ^™ • ^ + 'Sjf 1 L ^ + (1 + e'-) cos mTT sin ;i + I cos 2Å 

 r_ l + S_ — cos cp cos niTT cos ^ + k- cos ^ sin 21 + 



+ 



+ periodic terms containing I (L4) 



and by integration 



m 2 ™ 



öe 



m 2 "* 



+ 



— e cos mrcF [sin A — A cos A] + 



+ (1 + e-) cos mjt r^^ [sin Z — Z cos /I] + 



+ q r^^^^[cos 2 yl + 2 Ä sin 2 /I]— cos ^ cos ?wyrr^^^-[cos A +/lsin Z] + 



+ g cos ^ rl^lsm 2 A — 2 A cos 2 A] + 



This formula is continued on thn following page. 



