Opuscula. 2S| 
A'' = — r . A''' — r . His autem valoribus cognitis lit iio« 
105 gr5 
ta fummaroria propofitx , 
XXIV. Forma fuperiore prxdita: funt noftrae fummatO" 
riac , quotiefcumque non habeantur cafus excepti . Verum in 
cafibus exceptis ad habendam integrationem difFerentiahs 
. .. »1 — » , . . i iii. 
j/(j)^//q:.Sh.^(:(3 .Ch.^cp, formuiac numeri fuperiorfs ad- 
dendus e^ terminus B r"'~^ (^^^^ ^tum fumenda differentiahX 
tom negledtis terminis,qui ehduntur , pro/H-i . -B r'""' qj^ 
fubftituatur ejus valor, quem fufficit acquatio theorematis 
fui excepto convenientis multiplicata per ~ . Hjs 
effedis occurrit formula , qux comparari poteft cum propo- 
fita . Per acquationes ortas a comparatione determinabitur 
coefficiens B ; tum ex aliis A ^ A\ &c. determ,inato uno 
ad libirum , reliqui definientur . NecefTe efl , praxim hanc 
exemplis aliquot illuftrare « 
Exemplum primum . Proponatur integranda formula 
y(p^d(D.{ — Sh.(^-+-Gh.^),in qua ^ — 2 ~ k ^ g ^ — i, 
Hic habetur cafus exceptus , & huic convenit theorema 
^.(Sh.cp-f-Ch ,(p) = r : igitur fada multiplicatione per 
i£l'i^ provenit-15^^-^ . ( 3 B S h . 9+3 B C h .^=^ JS ^V^p. 
Supponamas differentialis fuinmatoriam elTe 
y(p^,{ASh.r^~A'Ch.(p) ( Capiatur hujus 
^iSy^dco.^ASh.^p-hACh^cp-^Bcp^ { differeotia , ne- 
gledss term nis, qui a fignis contrariis deflruuntur , & pro 
^B cp^dcp lubiiituamr hujus valor fupra inventus j & prodibic 
f(p^d(D ^ — A S h .(ip — A' Ch ,0^ ) Fa6la comparatione na- 
' — ' »{-\~ A Sh . ((> + A C h . ) fcenturxquationes dus 
{-\~lB%h.(p-\-lBQh.(Q) — A + A-\-iB-—ry 
^ A ~ A -\-' ^ B-=r.y ^ quibus additis fit 3 J5 — 0 , feu B=i 0, 
Pofito hoc valore xquationes dux fiunt idemticac : quocirca 
una ex duabus A ^ A ti^ libito efi determinanda . Si fiac 
A=Oy erit A=r^ & integralis ryp^Sh . 
— ir Sy<P d(p ,%h 3 fi fiat 
A=.o^ erit A =. — r integralis — ry (p^- Ch .(p 
H- 1 r Sy(p d (p ,Ch.(p,S\ ea- 
de.m methodo trademus formulas y (^ d .Sh. (p ,y d(^ ,S h .(p^ 
N n 2 ' vel 
