282 Opuscula, 
ncs i.'^ — 2 ^ + ^ = f*, 2.* "^^ ^ + i-^'= 3 ^ 
— 2 " + 3 A'' ~0y 4.^ — 2 <7 . Ducatur quarta in 
3,tertia in 2 , & addantur, 5.* 4 ^ — =r <? . Hacc duca- 
tur in 2, & addatur fecundac 6."^ ^ A -\- 6 A' ~ r ^ five 
A+ 2 r . Ab hac dematur prima ducta in 2 , 7.* 5 ,4 — — r. 
I 2 
Hi itaque valores provenient A rr -r, A' ~ r ^ 
A'' z=z ^tyA —-Y^^i quibus cognitis fummatoria cogno- 
fcitur . 
Exemplum tertium . Exiftente / =2, ^c=i,^= — 3, 
oporteat integrare diiierentialem y (p^ cp ,{ S h . cp + 
S h , cp . C h . 9 ) . Summatoria fupponatur 
4 3 2 2 
j^^(^Sh.(^ 4-^ Sh .9 G h +^"S h. & . C h . 9 + 
j^''^' S h . . Ch .9^ + A'''L.h.cp^) 
4 , 5 i * 
— 2sSj9 S h.q? -i-A Sh,(p .C h.^ -{-A' S h.tp .G h.9 + 
^ " S h . qD . Ch. cp^ H- C h . . 
Hujus differentiale omiffis terminfs, qui eliduntur, erit 
/ 4 j 2 
f—^ASh»cp—^A'Sh.(p Ch.Cp— ^ A' Sh.CD . Ch.o^* 
} 3 -2 _z 
— — ''v 4- 4 ^ S h . cp . C h.&H-^ S h . . C h . 9 
( »- — . 4 -3 ' 2 
+ A Sh.Gp -i-2 Sh.ip .Ch.a>-h3^""Sh .q: . C h. 23 
— 3 A''Sh. ^>.Ch. cp^-^ A'"Ch.cp''l 
+ 2^"Sh.q3.Ch.q)+ ^'Ch.9 )' 
+4 S h . 9 . C h.9 ) 
Si hxc comparctur cum propofita , quinque xquationes na- 
fcentur, nempe i.^^—^A-hA^zzir, 2.^ ^ A ~ ^ A'~\- 2 A'—o, 
3.^3^' --3£4- ^A'^~r, 4.^2^"-3 ^'" + 4^'"r=o, 
5**^" — Quintx du6lac in 4 addatur quarta duda 
in 3 , & oritur <5.* — 5 A'" ~ 0, quac dufta in 3 addatur 
tertixin 5, & fit 7.^ 15 3 v^'*= 5 r , Hacc duda in 2 detraha- 
tur a secunda du^la in 3 , & povenit S.^ 11 A — 39 A= — 10 r, 
quac addatur primx dudx in 39, ut fiat 9.^ — 105 = 29 
Undcregrediendo inveniemus A—— ~r, A^j^r, A'——y 3 
