ti6 PROBLEMA ALGEBRAICVM. 



aequatio facile cognofcetur inuentis valoribus coef- 

 lickntium A, B, C, a, (3, Y, P, Q., R etc. quorum 

 determinatio fecundum methodum fupra praefcriptam 

 ita perficitur , vt fit ^'r:s i\\ 



j. 3. 3. + ' -^ v ^/ > X. — i. 2 y 



j^__fn-3U^-^«--5) gf^, n^j, j^Qjj az:-(«-2), 3-(!L=iiMi-) 



V — — ^"—^>- ( n^s). (Ti — +). ^ — (^ ?i — a). (rt — 7). (?t — 6\fn— -O |._ 



• I. 2. 3 ' ^ !• 2. 3. 4. *'^**" 



furrogatis itaque in aequatione (F) his coefficicntium 

 valoribus elicitur denique : 



(H) -^('^JL=^dz2^Xn--s){^-^)e'u^-'^ Gtc. 



=z(d - e){u''-' -c « - 2 )• ^*«""" 4-^-^^-^- ^/«"~* 



■ __ (n— 6). (n— 5).fn — 4) V n— y . g^^.\ 



1. 2. 3 • * / 



p. Serie coefficientium confiderata, perfpicitur, 

 quod pofito 2r<^n (it coefficiens quantitatis cuiusuis 



^tr— 1 tfl—^^r t ((fi — r). f -4-rd ). (n-f-i — -T^f^ t-H 2 — ar) . . . . Jjn — r—i ) 



~~" 1. :. 3. 4. r * 



vbi fimul liquet , figaum -i- locum obtinere , fi r 

 lit numerub par , fm \'ero impar, fignum cotfficien- 

 tis erit negatiuum. Pro eo igitur cafu , quo nzzzr 

 erit \ltimi term ni ad prius aequationis membrum 

 pertinentis cotfficiens 



quoties autem n impor , ideoque 2r+i=i«, habetur 



^ 1.2. 3..« «r »^ ' ' 



5» 



