CFirSQJ'E ORDINIS CONIECTJTIO. ii§ 



Acque generiitim nequatio reciproca j-^^-f-ffj^"— ' 



hpj^^-l \-jy -i-ey^ -}-<>+ -i-cj^ 



-f- Ifj'^ -{- aj -{- I — , refoluetur in has nume- 

 ro n aequ-.itiones quadraticas j^ -|-aj/]-j-i — o, j^ 

 -i-^j'-h I =0 ,y^ -I- yj-\- I —0 ,j" -\-^j-i^i—o 

 etc. At coefficientes a , g , y , «S" , etc. erunt radices hu- 

 ius aequationis n dimenfiomim : 



-;0 -\-{n-i)a\ -in-2'd( -Hfw-s)^ 



_ . w (n— 3 )\ _ (n-i Hn— 4) ^ 



f^__2Xn-0/,r (n— 3)(n-6)^ f , (n-4)(n— T) j 



^ ^!n— 4 )( n— O t i(n-i )(n- 0(^-6) V '---^V" < ^' 



J~^ 1.2.3 J 



J • 2. 3. 



(n-2)(n- 6)(n-T)/. j 



— r~i ^ I 



~ 1.2.34 J 



§. 12. Quia cuiuslibet aequationis quadraticae, di- 

 uidentis aequationem propofitam, terminus extremus e(l 

 ynitas, perfpicuum elt, binarum radicum aequationis 

 propolitae ilidam elTc vnitatcm. Huiusmodi igitur duae 



n n 



femper cum duolrais membris V A et V B font coniun- 

 gendae, quo aequfttionis §.9 propofitae omnes obtineantur 

 nidices. 



§. 13. Si in aequatione reciproca omnes termini 

 praeter extremos et medium deficiant, vt in >'^"-+-pj''^ 

 H- I — , diuifores eius j ^ -^ aj -\- i ^ j^ -\- ^j -i- 1 ^ 

 .?^ H-yj'-f- 1 7 etc. habcbuntur fubftituendis pro a,p, 

 y^o etc. radicibus hujus aequatioms, «"— ««"— '-f- 

 Tom VI. Ff ^ n{n-z) 



etc. 



