) <^3 ( !?€<- 



at pro termiiio x^ d^ y euadet — o, ob w =r 4. Vt vero 

 generatio huiiis Teriei accuratiiis perfpiciatur , confidere- 

 mus has binas progreffiones : 



^i {^-^)', (w- !)(/«- 2; (w-i)(w/-2)(/»-3); 



m{m. — i)(m — z) (m — 3) „-.^ 

 1. 2. 3. ♦" *-^^' 



(;» — j){m - z) [m - 3) {m — 4.) , etc, 

 et concipiatur, fingulos terminos vnius in terminos cor- 

 refpondentes alterius ducflos efle, quo facflo orietur feries 

 pro coefficientibus ipfuis a -f- [3'. Confideremus nunc has 

 progreflioncs: 



j . ffi . mfm- 1} . t7i(m— i )( m — i) 



' ' '. j ' 1.2.1 1 



1; ;«— 2; (;«— 2;(w— 3); (/«-2) (;;;_3) (W — 4); 

 ..2. j. . ^'^*'- 



(;» — 2) (;« — 3) (w — 4.) (;// — 5) >etc. 



ct multiplicando hos terminos inuicem, prodit ferie^s prd 

 coefficientibns ipfius y -j- 5'. Deinde coefficicntes ipfius 

 c + <^' oriuntur, mukiplicando terminos harum progres- 



fionum: . ; i r:: tJI 



j . tn ' " C'" — ' ) . m(m — Ofm-.?) 



' ' 1.2 ' 1.2. j ' 



1; «z-3; («^-3)(w-4.); ('«-3)(/«-4)(^«-5)i 



'. 2. 3. + 



etc. 



(;«- 3)(w-4)(;;2- 5)(»2- ^)- , 



fimilique ratione coefficientes ipfius >] -4- 6' , per multi- 

 phcationem terrainorum in his piogreffionibus : 



I . jfl • m{w- 1) . m(m-.)^m-0 . gf^.^ 



1 ; w-4 ; (w-4) v^»- 5 ; ; (^-4) C'»-^)^'^-^^) ; etc. 



Ex quo etiam perfpicuura eiiadit, qiiomodo vltfein'us pVd- 



cedere liceaT. 



§. 7. 



