— 4-4-1 — 



Quum praeterea sit fx _ 2 (2 m — 1), coefficierites hujus anguli 

 in coordinatis x, j, sequentibus defmiuntur furmulis 



9t 3= 7j = ^~ 4 ettf =| =z yf: 



X_2-4,2m-l)* 4(27T2-l) 2 SW-1 



unde binae elkiuntur aequationes 



7) o_:(m+-i)f)-— (zm— i)H^[(2W-i)(3') — (m-4-i)(5)] 



_+. e 'r( am _ !) ( 2 ) __ ( m + j) (^)] 



-r--v][4<27w— 1) 3 — (om — i)(X— -2-+-(i)) 4-(m+i)(4)] 

 H-f [(2m-i){5) — (m-M)(4i)]-ho-[(m+i)(io)-(2m-i)(4)] 



— ?(m+ i)(9); 



8) o = -+■>— '5(5) — ^(4)— ^X4(m+i):(2m— 1)— ,(4)] 



— e (1 1) 4- o- (10) — f 1(93 -h 4 ( 2 m — 1) 9 ]. 



J. 24. Est denique coefficiens cos (4pH-2i) sive 

 SB = -3(3)— <(B)+5(i)+e(5) + r,(4)+J, 

 et coefficiens sin (4p ~f- 2fc) vel 



M=-3(5)^(4)+^<4)Vl(ti)+f(i<>)--^'(P)+l J 



ac fx = 2 (sm-fi). Unde coeFficientes ejusdem argumenti in 

 coordinatis x, j, reperiuntur, videlicet 



-fM— $R M m-f-i 



gg=5_: 2m ^ 1 " 'etN_rv[/_ : ■— 3, 



X_2 — 4(2m+i)» 4(2m+-i) 2 2W2 + 1 



quod sequentes praebet aequationes : * 



9) o = -(- (m+ 1 ) £ — (2m+ 1 ) l +'5 [(2m+i) (3) — (m+-i) (5)] 



+- £ [{fliti-f- 1) (2) — (m+ 1) (4)] 



2Voua „c£a Acad. Imp. Sc. T. XIII. 67 



