Opuscula, 277 ' 
6»'' y(]pf d(p ,Ch.a(p . i . — — _2 
' {Z^Dyrf Ch .q(^ 
pr C+jf^J^-V^ . S h . f . Gh .qj Y^(t>Pd^ 
H ' ( • — — a H- ■ — "-^ « 
( m 2 j> eC h.^9 4 
Tres ultimae xquationes integratsc dabunt fummatorias quac* 
fitas . Conditio in coefficientibus eadem eftacanteaoln iot* 
mnVis deeil aut Ch ,aut Sh.^^, aut uterque ^ fed arti- 
ficium usurpatum num. Vlli eos introducet fervata coeffi- 
cientium conditione . 
XXU. Haec fufficiunt ad cognofcendam formam, quam 
habent fummator ac quaefitae . Quapropter advocemus ftatini 
methodum coefficientium indeterminatorum . Supponamus 5 
formulac difFerentiah's jy q-^ ^q? . S c. . Ccqcp fumma* 
toriam effie jy (p^" . ( ^ S c.f 9 -|-^'Sc.f(p .Cc^qcp-ir 
-4''Sc.^q) ,C C , q (p 5c.^cp .Gc.^(jp 
~ Spy (pf-^^d (p , { c q(p ^ c ,q(n .Cc.f(|?4= 
-^^''Sc.^cp . C c .^cp -f- S c. .Cc.fcp 
hanc enim debet habere formam , Si hujus fumas differentiamj 
& negligas terminos , qoi ex contranetate fignorum ehdun- 
tur, invenies formulam , qux comparari poterit, cum pro« 
pofita . Coraparatio tot prsebebit ^quationes, quot funt co- 
efficientes A ^ A \ A" &c. , per quas ipfi determmabuntur 
Exemplis praxis h'cet non difficihs deciaranda . 
Exemplum primum. Pofitis ^ zn:.! ^ q~ 1 — 1 ,pro« 
ponatur integranda formula y(5pd(^,(%^c,(p— Cc.q). Po- 
mus ejus fummatoriam effe 
y (p A^c ,(ip -^- A Cc ,(sp) -~ S y d(sp ,{A^c .(^-^ A Cc.(^ 
Capiatur differentia 
^ 7 (p^cp ( —A ,(^-~ A Cc,(p , ( c.cp + ^^Cc.t^ 
r •'(— -/^' Sc.qD-j-^Cc.cp '^y ^\-A^c,(p~-ACQ,(^ 
Negledis terminis, qui ex contrarietate fignorum deftruun» 
tur, temanet -'-lii^ S ~ - ^ c . ^ ) Comparatio 
r (, — ^bc<,c^)H-WL.C.cp) cura propo* 
fita prxbet duas xquationts — A — A — i r ^A — A ~~r . 
Ex his fada detradlione & additione , proveniunt valores 
A — 
