EVOLIJTIO FDI^CTIONIS BEBTLRBATRIOS ETC. 2C7 



addito, atquc mutato i In (i — 2), ubi cos{{i-i-2)y-^2x—2cc'] 

 iasil; factor ille exprimi potcrit per 



Cff ) 2 N(2)cos(/7H-2x— 2o')-+-£ N(3)'cos<V 



Coefficienies autem N^, N(')' erunt 



(25) N(2)=|[(/_2(4.-3)A(.-2)-2(2/_3>'/^f^'^U'./£^V- 



Verunri ex Lagrangiae theoria , qua valores A^"), A^^-*, A(^\ 

 .... A('\ .... determinanlur, relaliones exislunt 



atque his valoribus ia aequatione (26) subsiitutis, eruitur 



crit ergo (13), (num. 16) 



(27) N(3)'=N;3), 



el factor quadrali e' fiet 



(S) 2^N(2)cos({;-^2ar— 2«')-t-S*'*NWcos/r. 



—00 



19. Per fonnulam (2) numeri 1 4 primus terminus factoris 

 quadrati p (D) vertelur in 



(28) — iS_^/AWsin«jsin2j^=i. s'*"'^/AWcos(/^^2x) ; 



et per formulam (11) numeri 16 secundus terminus aequabi- 

 tur quantitali 



42_ amncos(ijH.2x) 

 (29) 



-t-OO 



c 



-00 



T- VI. 35 



