24 Grilliert. 



fi r x (fi r ± [i i r i cos i) — p x r (p x r i ±.fir cos i) 



ist, so ist: 



p % r x z — /Xj 3 r 3 



pr x (pr± p t r x cos i) — p x r (p x r t ± pr cos i) 



COS O — " , 



p? rf — /x t 3 r 3 

 oder auch : 



O 3 — p x z ) rr x ± pp x (r, 2 — r 3 ) cos i 

 \x l r x % — p x z r 3 

 woraus : 



(r^ 3 — r 3 ) {/x 3 (ja »4 + A4 *" cos i) 3 — i a 1 2 (/Xj r + pr x cos i)< 



sin S' 2 — 



(p< 2 r i z — A4 3 r% y 



also ferner: 



• (V, 3 — - r 3 ) [a 3 (/.x r 4 + A4 r cos i) z — p. 2 (p. r =f pr x cos i)* 



fang S 2 = - 



folgt. 



j/x r 4 (/x r ± p i r 1 cos i) — p x r (/4 r x ± pr cos i)\ 2 



Weil 

 2sin\S 2 = 1 — cosS, %cos\S* =\ + cos S 

 ist , so ist auch : 



Oj — r) {^x (/x r x =F /Xj r cos i) -f /x 4 (pt ± rTj»r ( cos i)} 



%sin\S* 



p? r x 2 — p x 2 r z 



, 00 ( r i + r ) ^ ^ r i + ^ r cos ~ ^1 Ol r + M *4 cos i)} 



2 cos i ö 3 == — 



/x 3 14 z — /Xj 3 r 3 



also: 



o 1 Ai " r A 1 0* r i + / J i r cos l ) + A4 0*1 *" + A- »4 cos «) 



tor/ 1 iS = V ' ~~r ~ ^ ~, ~ ^ 



a * r x + r p Qi r x + p x r cos 1) — A4 (A4 *" + l J - r \ c° s l ) 



oder: 



,0 \/ r i — r p*r i i-p i "r + u.p 1 (ri r r 1 )cosi 



tanqlb = V ' -5 ; — = 7 ; "•• 



* r x -\- r p* r ± — p x z r + pp t (r — r t J cos 1 



Setzt man : 



n A4 * A4 *" + P- r \ cos i 

 p p r x + p t r cos 1 

 so ist: 



. 



r, + r 1 — ^ow^f 

 also: 





und weil nach dem Obigen: 



