33 



ric.lr — ^—^. — ^, — ^,— etc. 

 q_y^ ia:_< _z_|_2l_ii+ >1 _ etc. 



L» ~ I ' 4 9 ' i6 



Atque hinc erit p-^qzi:lx.ly-\-C. 



§. 14. Pio constante definienda consideremus casum 



quo X := O, ideoque pzzzlc . Ix et 



(/ = (/c)^-i— ï_| — ^ — etc.l 



_^+l*_î!-4_=4_etc. [ 

 I ' 4 9 ' 16 j 



sive (; = (Zc)^ — ^/ — l-f-^ — ^ + g—etc, unde ae- 



quatio nostra e vadit p-i-q — lc.lx-h (IcY — ~ — T"^^ — ~~^ ^^^' 



3=Zc.Zx-+-C, ubi ergo termini Ic.lx se mutuo destruunt, 



ita ut sit C = (Zc)^ — ^ — I -h ^ — I + etc. 



5. i5. Hic ergo quinque occununt séries infinitae, 

 quas sequenti modo indice mus : 



I 4 ' 9 16 ' 



î. 4_ J^ _L_ J^ 4_ _?i_ _j_ etc — P 



c 1^ 4.c2 1^ 9.c3 1^ i6.c4 1^ ^^'"' ^ 



T— 7 + 7— I6+ etc. — a 

 2. + >!_ -|_ J:L _|_ ^1_ + etc. =:R 

 >_^_! +>2 _ ^ ^_etc. =S, 



I 4 ' 9 ]6 ' ' 



quibus litteris introductis nostra aequatio erit : 



le . Zr-P-a-+-Zc . Z/>-R-S =Zx . ly-^{lcY-'^-0, 

 unde sequitur fore : 

 0-P-Q.-R-S - Ix . ly 4- {IcY-lc . ?x-Zc . ly- ^, 



Mémoiret de rAcad. T.III. 5 



