


 £O4 Dr. Warine on the 
ss olaree abn pon as Z thi . : 7 «oe 
a — bye + &c.; multiply this equation int ) 
re A And the fluent of the equation refulting, whic 
/ 




will be : x : “eh — = ee - Se % 
[tint ford, ime pee oe 
divide by +°, and there refults = a ~ p+- : == i + 
z mn) oe : cs oe a : and in gene= 
ral 5° x Sepa == eo focp ee are ; 
ke fxip+ 2 222, Bel 2 [e; 1 Bc key 
Oh . == == &c. bx" + : poe ae ore &c. cx” 8c. 
whence the law of continuation is immediately manifeft. 
Hence, if no two quantities a, 0, y, 4, &&c.. be equal to each: 
other; and the fucceflive terms a, 4, c, d, &c. of any feries. 
a+ bx" + cx" + &c. = pbe divided by «8. y.d.&c.3¢+n. Btn, 
ytn. d+n.&c.3 at22.C+2n.y+2n.d3+ an. &e: &e.s 
and in general by a+mz.B+nz.y+nz,d+ne. &e. &es. 
then can the fum of the feries be found from the fluents of the 
fluxions «A, «°f, »p, xp, &c. as has been obferved in the: 
Meditationes. If two are equal, wiz. a=, then. alfo the 
fluent of the fluxion * [vp is required. If three are equal: 
viz. c= R=y; thenit isneceflary to find the fluent of the fluxion: 
wn a and. fo on.. 
i. Letp= eres ; and if the differences of the quantities a,. 
iUS=h 5 








& y, 0, &c. are divifible by w,. from the fluent of the: 
-fluxion. 
