-^.^ ) 43 ( §■•?€<- 



fiS nn.I y := C^ (7r-(3) rin.(5^- 1 v) + (tt - (3) fin.^-I y + 5) 

 2 -(Tr-a-P)fin.(^V + a) 



+ (7r-a-p)rin.(,'Y+5) + (^-2«-P)rin.(^Y+5)?... 

 -(7r-2a-pjfin.(^Y+<5) + (7r-3a-p]rin.(,lY+^A 



qiiac feries contradis terminis fimilibus tranfit in lianc: 



a S fin. ; Y — - (tt - f3) fin. (5 - ^ Y) + « fm.G y-^) 

 + a fin. (^ Y + ^) + « ^"- (^ V +^) 

 + . . . . + a fin. f^-^'^ Y -^ ^) 

 + (tt - (/: - I) <x - p) fin. ( ApJ Y -^ 5), 

 vbi ciim fit oLziz'-^ et (3~|-, eric 



7r-(^-i}a-p=:a-7r-p. 

 Ponatur 



T = fin. {', Y -+- 5) -i- fin. (l y + 5) + fin. [l y + (^), 

 + fin.(^Y + ^H' . . . +fin.((^~0Y+5J. 

 Vt nancifcamur: 



2 S fin. ! Y " - (^ - P) ^"- (^ - ^ y) 



- {ir 4- p) fin. ((/:-■) Y + 5) 4- a T, 

 quae exprefllo ob ky-init redncitur ad — 2 7rfin.(J— ^ Y)+aT, 

 Nunc igitur ad quantitatem T inueniendam multiplicemus 

 \trinque per a fin. ^ y j ^^ ^""^ ^" genere fit: 



2fin. \y£m.q~ cof. {q-ly) — cof. (^ + j y) J 

 obtinebimus : 



aTfin.'Y=5cof.5-cof(Y+^)-con(2Y+S)-cof.(3V+^) 

 +cof Cy+5)+ cof. (2 Y+^) + cof.(3 Y4-5) 

 -cof, (4Y + *5). . . ,-cof (/ty+^)? 

 + cof.(4-Y + <^). . . - - - - S 



F 2 quae 



