62 AXEL MÖLLER, 



33. 



(T \ 71 7)1 

 -J x insattes i uttrycket fö 



or 



2a U- — jr), så antaga dess särskilda termer formen 



' '' \nla'\n + l 



w*?y° + wTy 1 + w n fy 2 + . . j . |. . . + [e** + ^=iF n ' n] 



y +w x y +W 2 y , ... , ^ Q , Y -^ Q 



+ (E n J_l + ^r=iFT l y' 1 ■ 



+ |... + T^;-V + TF^/ + ^V^ + -l!--- + KT 2+ ^ riF T 2 ) 



■«,m-2\ ,0 

 z 





etc. 



eller (II. 30): (i)*(^)" + % .-«KV Y^l^j^ 



hvarest: &. w , = Hr*:*i** + TF*' M rV'"7 2 + W n ' n 7^E n ^ + . . 



-A- 1 - 



v- » 



■ («) 



2 — i' 



T n,n — 2 -rrn,n—2 



H v "' = W n ' n F n,n + ^ hn ~ )i F n ' n ~^ + Tf ,! ' n - i F v ' n ~ å + 



i, — i' i —V i — i' i — i' 



Sätter man du: 



Kfr-V) = G (2 \, + G &) , + G. (i \, + 

 L(i,-i)=H &) ., + H {3) .,+H. {i \ l + 



så blir slutligen: 2a iö— ~\ = S2\K(i,-r i) + Y^iL(i — Hys' ''. 



Sätter man vidare: M(i,—i) = 2G. {2 \, + 3£. (3) „ + 4£. (4) „ + . . 



NU— i') = 2H. {2 \, + 3fl". (3) ., + 4iT. (4) ., + . . 



och: B(i — i) = 2 . 267. (2 \ + 3 . 3G . (3) ., + 4 . 4G. {å) , + ... 



SOL— i') = 2 . 2fl. (2) ., + 3 . 3fl". t3 \ + 4 . 4H. (i) , + ... 

 samt öfvergår till det reela, så erhåller man equationerna (11.32): 



al Q. — p\ = 22K{i,—i) cos(ié—i'g') — 2SL(i,—i') sm(ie— ig) 



a r(^\ = 22M(i,—i') cos(ii—ig')—22N(i,—i') sm(ie—ig') 



a » r2 (i") + ""'"(S) = --^(»»— *') cob(m— »y) — f2S(i,—i) sm(is—i'g') 

 i hvilka equationer konstanterna -ST(0,0) ; Jf(0,0), JJ(0,0) hafva sina dubbla värden. 



