149 



l (m -+-:)('« + 3) ■"" 2(m + 'î)(Tn+4) ' 3('n-f-4)('»-H5) ~^" ' '-'* 



Quae igitur sciics per expicssioncm hanc finitani : 



-;jx-^- axiog. (1 _x) --V jaxio§.(i -x)-T-c 



m-Hi t(m-f-i)(TO+2) ' m(m-l-i) '" ' * ' ' 2. < •" i.aJ 



exhibetiir. Sic crit vcrbi CiUisa, posito j;z :z= i , 



-*'- -^ -*'- + _^' 4- -^^^ 4- - — ^-^-^"-^^ log. (i -xi 



1,3.4^^: 4 ç ^ 3 î-6 ' i-f>-l ' 6 & V /• 



+ i(S-^S + c, ubi Cz=-i. 



§. 18. Considcrando formas y'3x/c)x/x'"3xIog.(i—x), 

 fdxfdxfdxfx^dx log. (1 — x), etc. ad no vas serierum 

 summabilium species peiduceremur. 



§. 19. Forma aiitcm 3jr:x'"8x log. (n-x) pari modo 

 tractatur. Et possent etiam considerari ejusmodi cxpres- 

 sioncs: /x"3x/c"'Dxlog.(iH3x), fx^dxfx''dxfx^dxlo^.{izix) etc. 

 ad nova summarum gênera elicienda. 



§. 20. Dissertationi nostrae finem imposituri subjim- 

 gimiis quasdam séries , quarum snmmatio ad pcripheriani 

 circuli revocatur. 



Sit Cp ~ Arc. sin. x , eritque d<P zz: ^^^-^^ et con- 

 tcmplcmur dy zn x^d(P , SLipposito m integro uc posiiiv 



