2^/^, Ofuscuia. 
f jf . ( — — Sh"."^^ — - S h . cp*. G h . -h~ ShT^* . cT7i>* 
5 5 5 
Y S b . (|5 .C h .(p — Y oh.cp )e 
XV. Nihil reHquum eft, nifi ut doceamus, quo pado 
adhibenda fit methodus coefficientium indeterminatorura in 
cafibus exceptis , ubi fummatoria fuperiorcm formam non ad- 
mittit i feu potius ubi fummatoria prxter formuiam praedi- 
tam forma fuperiore includit terminum folam indetermina- 
tam (p continentem . In his cafibus difBcilioribus fuppone , 
quacCtam fummatoriam eiTe 
w> — 5 
A'Sh./^cp , C h q? -f- S h . ^ (p oCh.^O) &c. ) 
m — s 
Cape diiferentiam ; tum pro termino Br^^^^op fubSitue vs- 
lorem , quem xquatio thecrematis multiph'cata per ~ 
exhibet , & formula prodibit , qux poterit cum propolita 
comparari. Per aequationes ortas a comparatione determina- 
bis primum coefficiens B : quo determinato quum calcuius 
definat in duas acquationes idemticas , numerus indetermina- 
tarum unitate fuperabit numerum squationum . Quocirca u- 
sia pro libito determinari poteft ; reliqux determinationem 
per aequationes recipient . 
Esemplum primum . Sit q — i , g — — i , & integran- 
da dt aequatio j . ( — S h .9 -+- 2 C h . (j) . Qjjando hic ha- 
betur cafus exceptus , ponatur fummatoria efie 
y . ( J ,Sh»(p + A Ch,(p) --|-S'p. Capiatur differentia 
y d(p (-~ASh,(p-ACh,(D ) iEquatio theorematis eft in hoc 
r '(~^A Sh, (p-^A C h , (|)) c&iu y .(Sh.(j:H-Ch.d3=:i r: 
^ ergo multiphcando pet— ^ fiet 
•^^*—^ (58 h .(pH-BCh.^p — j5^/(p. Facla hujus valoris fub* 
ftitutione fummatoria e^adet 
(~ A Sh,(^ — A' Ch,(p) Comparetur hxc cum propo- 
%L_, (-^r- A' S h -^- A C h . (p ) fica , '& oriencur a:quationes 
^ (H-ij Sh.cp-h^ Ch.(p) dua: i,^ — A-\- A -\- B—— 
