De usu subtractionis etc. 533 



[l (i)-(- . . .'Vl ("-^'J ]=[l(lV . . "-(-1 C"-/-^' J 



V^J-Y [l ^^ )-H . ."'. -Hi ("-Z'+J)] 



seu 



1(i)-H — ^-1^''+uJ=L1(1X^-..._^-1('«+1)j 



1 -■ 



-4_[l(i)_l_...4-1('"-P-^<)]. 

 Hinc, in hypolliesl/7=:7i , obllnetur 



„> (m -Hl )(/w-4-2) ■ . (/«-H») w^ f?J w(» — 1) »j(;«— 1) 



^ ^ 1.2.3 n ~ "^T ■ f "^1.2 '"iTr "*"■■■ 



7t(n— 1 ) ■ ■ . 1 w(w— 1) ■ . . (w— ( w— 1)) 



' ■ ■ "''1T2T3'. ...n ' 1.2.3 ~;r ■ 



SI in in re immutetur, atque vicissim, secundum membruni 

 ulriusque aequationis lecidil in unum . Quancio in formula (F) 

 ponatur p^in — 1 , habebinius summam seriei a Brianchon 

 (1 ) relatam , videlicet 



(w-»-1)(m-4-2) . . . (m-i-7i — 1) n{n — 1) m — 1 



1 .2.3 («_1) ~""^ iT2 1 



"^ 1 .2~3~ ■ Ta 



«(„_1 )(„_2)(«— 3) (w— 1 )(m_2)(m— 3) 



1 .2.3.4 1 .2.3 



(1) Locum cit. inspic. pag. 1G2. 



T. VI. 67. 



