) 102 ( §■<♦" 



§. i6. Quoniam autcm iftae enolutiones continuo fiunt 

 moleftiorcs , pracftabit tales cafus cx formula principali 



x m 



-r* — , vnde omnia hactenus funt dc- 



(x-a)(x-b)(x-c)(etc. 



dufta, deriuarc. In ea igitur ftatim ponamus a — b et fta- 

 tuamus 



x m a B 



(x-bf{x-cj(x-d) (etc. - " (x-b)^ x-b 

 denotante R omnia reliqua membraj haecque aequatio per 

 (x — b) z multiplicata praebet 

 x m 



/ w Tu vr -—=a-\-B(x-b)-{-R(x-by 



(x — c)(x — d)(x — e)(etc. ... 



m 



b 



Fiat nunc X — b eritque a.— r- vTI j\ i u ~\ ' , > ' > 



1 (b — c) (b — d) (b — e) (etc. 



quo valore ad finiftram translato fiet 



x m b m 



(jr-f) (*_rfj"(*_,)(etc. ~ i^{f^d)(^^^ X ^^ X ^ 



Y m 



Pbnatur nunc breuitatis eratia -, s ~. 3,— :r, ~X 



& (x — c)(x—d)(x — e)(etc. 



At habeatur X — a.— (3(.v — b)-\-R( x — b)% fiue per x-b 

 diuidendo |£}| zz (3 -t- R ( jr — b ); huius vero fradionis £_=i5 

 tam numerator quam denominator cuanefcit pofito x~b, 

 •v*nde niriil concludi poflet. Quo igitur valorem ipfius (3 obti- 

 ncamus, tam loco numeratoris quam denominatoris fumamus 

 eorum differentialia, oricturque ifta fra&io: J^, cuius valor 

 j)er x expreflus fequenti modo elicitur. 



x m 



§. 17. Cum fit X=t rt- 7- 7^7177 erit 



7 ' (x — c)(x — d)(x — e)(etc. 



lX~mlx-l(x-c)-l(x-d)-l(x-e)-etc. f 



hinc- 



