50 Richard Jaegekmann. 



Wir begiuucn rait den analogen Werten fur p t , j» 2 , p a , p it welcLc bci der Ableitung 



von t 1 -+- x & 2 , i.j-4-y t 2 , £ 4 -f-^£ 2 wesentliche Dienste leisten. Esist: 



2 e ii . sin G r • • tri /i\ • ,a \ • yyl 



Pi -4_ x .p 2 = _ _ . _ -5L___ . [sin Vo • sin(p - G) -+- Bintf-i-qJ sm C| 



= — ^"^riil^bi ■«"(*o-fG) shitf (118) 



Pz + y-P2= — ^ • siu ( p°- g) • D in $~ G )- c°s 6? -h cos (ft — fl) smG| 



— ^ f <> Bimu-Gj uiaj 



1 [~i r .o. sin Ct"1 1 i /< /■■ o/\\ 



?h -+- Z p — 1 -» ,— == - '= (120) 



Feruer ist: 



a l -*-x- a 3 = 



da: 



r • # sin G' = Vp — VP\j. 



und 



cos ( (3, -t- v ) • sin (p — G r ) — cos (p, — G) ■ sin ( (3 -*- v ) == - - cos y • siu (f h- 0') . 



so folgt : 



a x -+- x ■ a 2 = 



- 2 - A '-£-[*S$^iw ^^-^> sin (^o)-cosv. s in( V ^)zt^]...(121) 

 + 2.A.f .[sin^-G^cos^-G). cotg(p-<7)] = - 2-^-f • 5^... (122) 



a 4 -+- £ . a 2 = 



A • (£)' ■ * £ • c » s *-«)] - *■*■ (?H» ■* B1&, • •»<&-«>] = 



^■(fr-^fer-i-V—T a23) 



