eodem modo obtinebit in aequationibiis fequentibus, ita nt 

 valor ipfias c N'" X '^'■^R'' S' " X in aequatione teitia pro- 

 deat fciibendo in aequatione fecunda ubiqne C pro B et 

 m '•<- i pro })i; unde patet quomodo liaec feries aequationum 

 facillime produci. qucat quousque libuerit, 



ColIIgendo- omnes' aeqnationes hac ratjone prodeun' 

 tes in unanii fumnianr orietur. 



-^kN^^^^x^-^-^K^S^^dx-i-lWx-^-^^K^S^idx-^-ctc.:::! 

 Aeh{m-^i)N"x'^K^S'^dx^-[kenh-+-Aer(m+-i) 

 -4-A//i(m-t-i)-]-A//i {p~+-i)-i~Aer (g + i)] x 



xWx^-^^K^S^^dx-^-iAenr^Afhn.-hAetim-hi) 

 -4- A/r Tm -+- 1 ) h- Agh m ^- 1 ) -i- A/r fp -+- 1 ) -+- 2 A g /i p -+- 1 ) 

 H-A/r (g -H -+- a A e t (q -h i ] N^''' x'^-" R-^^S-J ^ x 

 -t-[Aeut-i-A/?jr-4-Ag/in.-l-A/t m-|-i)H-A gr ^m-f- 1) 

 -♦- Aj t rp-i-i)-!- 2 A gr (p ■+- 1 )-+- A g^r r<jf H- i)-+- 2 Aftq +- i)])* 



X N ' " x-"-^ 3 Rf S'? 3 X H [ A//2 1 -f A g n r -}- A g t (m -f- 1 ) 

 -+-1 Agt(jD-H i)H- - Agtr<y-i- i)]xN'.'^x'" '^Rf S^aac 

 -.-AgntN"^x'"^^R'-S'ax-+Be/ifm-f-2)N"^x'*'-'^RPS'^r">x 

 -f-[^' chn -r-Ber (m -+-2) -hBfh (m -h 2) -+- B//i ^p-+- i) 

 -+-B e r (9 -^ i}] N"* x"*' = Rf' SQ x -h ^B e n r -^- B/A ;z 

 -4-Bet (m-H 2)h- Byr mr+- s) -+- Bg/i (mn- 2)-+- ^Bg/iCp-i-i) 

 H-B/r (p-f-i)-l- 2 Bet.'g-hi)-l-B/r(9-h i)]x 



^■I^ax^m+ 3 Ros^r^ix -H [Bent -^ Bfnr-^ Bghn-^Bft^m-^--) 

 -i-Bgr(m-+-2)-+-cBgrCp +- 1 ) -+- B/t (;:> -+- 1)-+- 2B/t(9 t- 1) 



-HBgr 



