Opuscuia , 207 
eamdem feriem , in cu/us ultimo termino Cc,(p exponens 
== I . Huic addendus eft terminus r"' a? , qui habet coefficiens 
idem , ac ultimus terminus feriei , fcilicet "'""^ 
>B . — 2 . 4 . . . 2 
Si fummatoria debeat nullefcere nuliefcente arcu , ejufque 
fmu , completa eft , neque ei ulla addenda eft conftans . Qua- 
re fi fiat Cc ,(pz=z o ^ & Sc .(p^ r , proveniet S C e . p d (p 
= "'HL' "^^ll-' ' ' ^ r"* (p ^ Eft autem <p vel quadrans , vel 
tres quadrantes , vel quinque , ut omnibus notum eft . 
Ut facilius tradem cafus , in quibus m eft numerus ne- 
gativus , pauUuIum tranfmutandae funt formul^ . Quomodo hoc 
faciendum lit , aperiam dumtaxat in prima ; reliquarum enim 
ratio eadem eft . Muta fignum fpeciei nzi ut ex negativa fiat 
pofitiva . Oritur 
— w S — m — i . r S ~ ~- 4- ■ — r- • 
C h • <p Ch . (p Ch .(p ' 
Transfer opportune terminos 
m-^- 1 - r S = w S + . Pone 
C h .<p C b . q) Ch .<p 
m-h 2 = « , ut fiat 
d (p ' d ip r Sh . 0 
fi — I , r 5 „ = « — 2 5 ■ . Simili 
Ch.p ChT^"-' -chT^"-' 
modo alise provenient 
<P f ~ 0 d(b r C h . <p 
S zzziT C« — 2 S ^ — 
Sh.<p Sh.<p Sh.<p 
— ZQ d <p ■ ■■ — d (p r S c . <p 
Cc.<p Cc.<p Cc.<p 
d 0 ' ' „ d (p r C c . o 
n — 1 r^ S ^ n — 2 S ^ ^ _ ^ 
S c . (p S c .<p S c . <p 
Si n eft par , manifeftum eft , formulas omnes 
r. d (p c d (p „ d(p r, d (p ,,• 
S - , S ■ , S rzzTT » S ■ _ algebraica mregratio- 
C h . <p S h . <p C c. <p S c . (p 
ne gaudere . Namque iheoremata inventa demonftrant , for- 
mulas iftas dependere a fimilibus formulis , in quibus divifo- 
ris exponens = ?2 — 2 , ift^ ab aliis exponentis =/2 — 4» 
atque 
