SERIERVM, 33 



D ... a-f-(3+Y-f-(5"_f-etc. 

 nbi a. (3. y. etc. fint quantitates cond: ntes quaecunqiie, 

 modo terminus eius vltimus vel infinitefimus nullus fit vel 

 infinite paruus, dico feriem A. transformari in 



I. II. III. IV. 



B . . (^-+-Z»)4-(^-i-^)-i-(^-f-/)-4-fe-H-Z7)-4-etc. 

 a^d {c-a)cx, {e-c)a {g-e)ct 

 a^^ (c-a)p {e-c')^ 

 -k-ay {c-a)y 

 -^-a^ 

 crit enim feries B. produdlum ex ferie A. multiplicqta 

 per 



D . . i-4-a-a-f-^-j3-fY-V-f-etc.zi:i. 

 Sit exempli caufa data feries 



A.. \-m-\-m^-m'^ ^m^-m^^^x.c. 



fi fumatur a: 



771- 



m-+-2 



n — m2_f_7n_i a 



' (fn-f-2j3 m_+.2 



Serles A. transformabitur in 



B ..— L— I---J p \ _4- — \ Hetc — -i_ 



^2 (m^2)2 {Tn_f-2) 3 (m_H2)^ "~" 'm^x 



Si vero ponatur ar:"Llzr^-4-' ^a^z^ v— ^. etc. 

 Series A tranfibitin 



^ Scio 



