Entwickelungen zum Lagrange'i^chen lieversionstheorem, etc. 



159 



B ■ — — 1— £CosK. 

 a 



Hier ist: 



y = 1 — £ coüM + z sin Jf = '/ = '/ = 'i^'* = ■ 



— £ sin 1/ = f = '^' " =: f" = 



— £ cosilf = f" = '^"" = '^^■" = 



Die Gleicliungen XIII liefern daber sofort: 



X^ = + £ sin^ilf 

 1 



X, 



£ sin^ilf COS M 



X = — - £sini¥* 

 "* 3 



17 

 A'^ = — jjj£sinM*cosM 



X = + (4 — 4 ctg«M) £ sin 1/« 



6 



907 



Xr = + ^^ '■ sinif cosi¥ 

 " (20 









ms 223 

 V315^360 



/1072 91119 

 V567 ~5040 

 17802611 53 



ctg«j¥j £ sinilf 1" 



ctg^¥)£sin3/i''cosil/ 



28800 90 



_ / 169504 8966081 5 ,^ . , 



^^'1 - >. 51975 1814400 ""^^ ^'^ + 72 ''''' '"/ ' ''"'" 



/4S52742017 4404983 ^ , „A . .^i^ „ 



V 479001600 



1814400 



XVIII 



woraus,, wenn man bedenkt, dass £ sinilf = 1(1 — £ coslT), bervorgebf 



2 4 .,. 368 



-^ =: 0-. COSilf) [(l -H ?^- ^ - + - C«- 3^5 ^« -^ 



17 ., 907 



1072 „ 169504 ,, ^ 



567 • 51975 " "^ ' " "/ 



98177 ,, 17802611 



+ 



+ -?• ctgilZl^l — j^^ "^360^ 20160^ "^ 1814400^ 



223 



9199 



if'*'"('-^«'+ii« 



8966081 

 302400 ' 



1814400 



4852742017 

 239500800 



fio + 



+ 24^ ct„ ^i^^3 J5 ^ + ^p^g^^j £ 



4c'^ctg.y*(f. 



+ . 



19) 



