33 



■' etc. 



f/c./i- — -^ — ^- 

 ^-•'> 1 _Z4_2l_2i_|. >i _ etc. 



t> i ' 4 9 ' i6 



Atque hiiic ciit p -\- q zizlx . ly -\- C. 



§. 14. Pro constante definienda consideremiis casuin 

 <]U0 X zz: 0, idcoque p z:zlc . Ix et 



,/3i:(/c)^-l-ï_| — i — etc.1 

 _^H_i=_fl4-£l_etc. [ 

 sive (/z=(/c)^ — !^^_i-4-£:_^i^-îl— etc., unde ae- 

 quatio nostra evadit p-}-qn/c./xH-(/c)- — ^— Y-+-^ — — H- etc. 

 :zz/c./x-hC, iibi ergo termini /c . Zx se mutuo destruunt, 

 ita ut sit C:zi:(/c)^ — 3^ — l-h^ — l + etc, 



§, i5. Ilic ergo qiiinque occmrunt séries infinitae, 

 quas sequenti modo indicemus : 



^— '- + ^ — ^ +etc. =0 



1 4 ' 9 16 ' 



c l^ 4.c2 1^ 9.c3 1^ 16. c4 1^ ^^^" ^ 



— H- — -h etc. :zz Q. 



c ^^ 4.C- "^ 9.c3 1^ i6.c4 ^^ ^^'^^ ^*- 



2L_ ^_: + ^! _ >^ 4_etc. —s, 



I 4 ' 9 16 ' ' 



quibiis litteris introductis nostra aequatio erit : 



le . /x-P-an^/c . /j^R-S =/x . /j4-(/r)^-~ -O, 

 unde sequitLir fore : 

 0-P_a-R-S = Zx . // -+- {Uy-lc . Ix-lc . ly- ^, 



Mémoires de l'Acad. T.HI. 5 



