110 



JULIUS KRÄMER, 



(160) pars i?, = S COS {2tv+g-gJ + \ cos {2iv - 2 r/) + 2ä^^ cos {^iv - 2g) 



+ S cos {2iv-g +g„) +S ^io.„ cos {2iv -g-gj + 22 cos (4t(; -g-gj 

 + S6;.„,.„cos(2tü + f/„-f7„)+2^n.nCos(2M;-2(7j + 22«i5-n ^os (4r(; - 2^^ J 

 + S ^8.„,„ cos (2^6' + r/J + S &,3.,„.,. cos (2^^; -g,,-gj + 2S rtie..„.„ cos (4w -ö',,. -gfj 



+ b^^eos{Qiv-2g) +^h.^,,„cos{2w + h-!iJ +F,^cofi{2tv-2h) 



+ 2 ^s.n COS (6tf — ^ — j)- J + 2 ^22.H COS (2«' - h + hj + 2 ^26... cos {2iv — Ii — JiJ 

 + S Kn cos (6«(; - 2g J + S 6,3.„.„ (cos 2iv + /\. - Ä J + ^b,,., cos (2t^; - 2h„) 

 + S ^0.™.» cos (Qio-g^-gJ + S cos {2iv - + + S h^,.„,.^ cos (22t; - 7^,„ - /ij 



+ 2 cos (4?.<; — 2/<) + h^^ cos (6ft; — 2h) 



+ 22 ^30.« cos (4^^; - ä - /O + 2 ^34.» cos (6m; -h- K) 



+ 22 cos (4W - 2Ä„) + 2 COS (6w - 2/«„) 



+ 2 S (<32.„.„ cos (4w — A,„ — ]i„) + S &36.„.,„ cos (Qtv — h„ — h,) 

 Die Werte der Koefficienten sind : 



(161) 



2d 

 b. 

 b 



2d\ 



[(/3,z„+/33%,0)t„+(/3,x„+*^,,<)<] 



[(/3,^,.+/3«<)^.„+(/3sX„+/3.„<)<] 



-2 

 -2 



ßn\.+ '^<]K+[^K+ß^s<]< 



ßr 



2 



3 



g+g„ 



r— T, 



(/J^a sin <.„+ /J^i s in t J s in t 



2^2 



ß. 



ß..K+f'< K+[fy-.+ßM< 



ß. 



t — T„ 



-/S^jSin't 



/527sint,.+ ysin<)sint ft,«,,,.,. 



3 







-Kr 







-m 



2r„ 







ß^s.., 



ß. 



- [(ßis sin i„+ ß,, sin t,;) sin {ß^. sin t„+ sin li) sin t.'„] 



^ (/323sini„+/325sinil)sini ft^*.,,..,. = -^^^f(/523sini„+^25sini,0sint„.+ (/32,sint„+/325sinOsiniJ 



/3,, sin sin t,', j sin t„+ sin ß^^ sin j sin 



Aas.:, 



/J.j sint„+ ^ siniM sint,„+ ( sini„+/3,gsint„' j sini;[, 



