HISTOIRE. 41 



et feriem novam J. 1. exhibitarrij nec ron ceteras huic ad- 

 ditas § r . Quod quidem ienem (.) altinet , ex hac ope 

 facilis fubiiitutionis ftatim deducere licet feriem(a). Pofito 

 nimirum 



A H- x n _ _ A erft x n_._ A u n 2x__ Adu 

 x l u n A-t-a a ' x u(Ah-u*) 



Quare integratio ( 1 ) in hanc abit: 



m 



(-A)~ir Adu A 2X 



m . / 



! 



( . , " u(A-+- u n ) (A -h u"V 

 ( .1 -f- u ) * ,v /v J 



m 



A 2l + " 1 .(-A)~u m 



( 1 + B > »* (A ^ r) s 



fm ! n("* -+-')] 



m-f-71 \A 



,-+ u / 



[m ' n (\-f- 1 )] [m n (\ -+- 2 ) ] ^ u 71 



(ra-ij)(i«f2«) U ^ w' 



Vnde, pofito —X pro ™ +X4- i, et x pro u, fponte fequi- 

 tur ipfa fuperior integralio (a) (§ 1,). Sic igitur nova via 

 fa.is expedita patet , ad iftam feriem perveniendi. Simiii 



ratione feries (b) ex ferie (.) derivaUir, pof.to 



x 



u n 



- — — ; nec non feries (c) ex (3), feries (d) ex (-), po- 



L i. 



nendo A -\ - x n — — u 1 . Nexus feriei (• ) cum feriebus J. r. 

 tt ri elucescet ope fequentis theoi\.matis , quod alios infu- 

 per ufas praeftat. 



Uiftoire de 1793. f Theo- 



