534 Petri Callegari 



18. Ex iormula (a) n." 15.' detluci potest 



(a') [i(iXh- ."!.-Hl('')]=[l(^)-f- . .'!-(-1(''+i)]_[l(0_H.."'r-t.1('-^i)] . 

 Hinc habebitiir 



[l(1)_H . ." -H-l ("-*-' )]=:[l (1)h- . ."! H-1-('-+2)]_[l{1)^_"'7; _f_1(«-4-2)] ^ 



t/n— 1 -J r wi —1 -, p m — 2 -1 



1(1)_|_ . . . _Hl("+1}J=|_1t')-)- . . .-l-1('«+2}J_[i(1)^_ ,_1(n-K:!)J . 



m — 1 -J r m — 1 



... -Hi ("■^-<)J=Llt< )-+-...-+ 

 Facta enim substitutione eruitur 



-h[i(i)-i-."^1(»*2)J. 



m— 1 



-1(n+ 



ffi— 2 



-hL1(<)-i- 

 Praeterea cum sint 



[1(1)_H.."-h1(''+2;]=:[i(1)^_ . .'"_4_K«^3)]_[l(1)_^ .'!'7^1("+3)], 



r m — 1 -| r m— 1 -, r m— 2 -, 



L1(1}^_ . . . -h1("+2)J=[1(1}_<_ . . . _j_l("-*-3)J_Ll(<}-H . . . -Hlf'-*-3j], 



[m — 2 -1 p m — 2 -. r- m — 3 -, 



1(1)-H . . .-Hl("+2)J=:[l(1)_t_ . . ._Hl(n+3)J_[l(11_^ . . . ^'\(n+l)\ ■ 



ope substitutionis aequalio (b') sub hac forma sese oflert 



(c') [l(0-t..™-Hlt")]=[t(i)-H ..!". _h1('.+3)]_3[i(1)_h .'".T-t-K"*^)] 



-h3[i(0-h."Ih1("+3)] 



_[|(i)_i_."'.T-t-1("+3)]. 



Non pluribus opus est, ut intelligatur hoc processu ad secjuen- 

 tem generalim perduci aequationem, si inspiciantur aequatio- 



nes (a') J (b') , (c') , ex quibus manifestum est, signum 



positivum ante postremum lerminum sumi debere si p est par, 

 atque signum negativum si p est impar. Habebimus igitur 



