fiuc m — ti — i habebimus i _=_„-+- (3-+-Y-r-5-f- etc. fiut 

 _oco a, (3, y, etc. eorum valores fubftituendo 



(_^£) (_-*•) (_-</) (etc. ~*~ {b-a) {b-c) {b^J) ( etc. 



"+" (_-«)(*-*)(.-_) (etc. "^" etc * — f : 



Altero vero cafu , quo m -+- i << n fiue /» < « — i pofito * r: co 

 erit o __: a -+- (3 -+- Y "+~ ^ ~+" etc - Q"i a igitur m debet efle nu- 

 meras integcr , haec pofterior aequalitas fubfiftet cafibus his 

 omnibus : 



»=0, ot__i, m—2, w = 3, m — n— 2. 



§. 4.. Ponamus nnnc breuitatis gratia 

 (\j-_0(--V)( a-d){a-e{{ctc. — % 

 {b-a){b-c){b-d){b-e){ttc. — 1Q 

 \c-a){c-b){c-d) {c-e){etc.~(£ 

 (d-a){d-b){d-c) {d-e){Qtc. — <S> 

 etc. etc. 



t habeamus 



a 



m 



£n» ^m ^m 



a =s7' ^ie' *'-=£. 5 = ©- etc * 



cfuarum igitur fraftionum fumma cafibus, quibus m<^n — 1 cy- 

 phrae aequetur, cafu vero quo w__« — 1, vnitati ; quocirca, 

 loco |» fucceiliue fcribendo o, 1, 2, 3, 4, ... . » — 2. crit 

 a-^S-H^fc-r-etc. = 



*+ i -+- t -+-£-+- ctc - ° 



*-f-£-r- c 4- -*-£-+- etc - = ° 



_i ___. 6 i -+- £ _i_ ^ -+- etc. __ o 



_ ^ >» ~ _ l © r 



- — o 



a 11 - 7 



a n 



£„__, c n~, jn-x 



_l_ . _i_ — — H ±r— -+- etc. __ at vero 



-■ #*-> c n - 1 d n ~' , , 

 1_~ _u — \--= r-etc __= I vnde 



