SERIES SINGVLARES. 143 



pcr pcriphcriam circuli fiint dcfinitac ; pro cafibus 

 autcm quibus m efl: luimerus impar , fummac vcro 

 proximac facile rcpcriri poflTunt. 



3. Qiiando cxponcntcs m et tt fumiintur ae- 

 qualcs binae ferics inuentae conucniunt , hocque ergo 

 cafu fequcntem fummationem adipifcimur : 



I r,r ri r, rri 



r , I 



Quocirca fi cafus particulares confidcraturi ponamusr 

 I 4- I -M H- I -4- ^ 4- etc. =: A =/4 

 I -}-irH-p + 7:-H^4-etc.— Arr/i, 



i-H^-}-i5 4-i, + ^-4-etc.:=B=/i, 

 » -V- h^ + ^-H ^ 4- ^T + etc.=: C z:r/i, 



I + b + h "^ T^ -f- h -i- «c. = D =/•!.. 



etc, 



fimilique modo porro ; 



/^ = E,- /L::3F, /L, = G,- /l,z=: H^ /Iro-I etC 

 Iiinc confequimur fequentes fummationes : 



H-KiH-n-i-i(i4- ^+O-f-etc.rriAA+IA 

 i-+i.(i-f-^)-h^(r+i,-i-i,) + etc. = .LAA-f-^C 



^ + ^(i-H^)-Hb^i-f-f,4-y-i-etc. = ^BB+iE 

 ^-l-It(r-f-i,)4-i,(r4-i--f-i.)_|_etc.-'CC+iG 

 ^+^(H-:-r)-4-r*(r4-L-,_i^)_^etc.zi^DD+'I 



