Opltscula . 
vel^^y^^f.Ch .cp , y »Ch ,cp ,sid uhm&m integratfonem 
pcrveniemus , 
Exemplum fecundum . Fado ^=1,^=2, af- 
fumo mtegrandam y cpJ cp , { S h .0 h . cp. In praefenti cafu, 
qui exceptu5 eft , valet theorema y .(bh.cp — 2 Sh . cp , Ch.c^ 
1.1. . zBcd d(p . 
•4- C n ,cp ) =zyr: ergo racta multiphcatione per ■ — - net 
y (h d CO ^ — - ^ ^ 
•( 2 5h.(p— 4Sh.q3.Ch.(p-|-2Gh.(p) = 2J5yq5^q3. 
Supponamus fummatoriam quaefitam effe 
^Sh.(^ H-i^'Sh.(p.Ch.(p+-^''L>h.fo 
— ^'jif^qj.C ^Sh.^H-^^Sh.q^.C h.cjD+^" C h . ® 4- 5 f . 
Capiaiur hujus differentia, negleclis termmis, quos contra- 
lia figna dettruunt , & pro iB(pd(p coliocetur valor paullo 
ante inventus 
\ % ^Sh.9 + 2^'Sh.(i).Gh.(|)4-2^^^h.® 
J ( +2^Sh.<j3.Ch.q34-^~uh.<|) 
)H-^'Sh.®4-2j^''Sh.9.Ch.cp 
(4- 2^Sh.9 ~45Sh.0:.Ch.a5-f-2SCh.qD 
Comparatio cum propoiGta exhibet atquationes tres , icih'cet 
^.^ A' -j- 2 A' -^- 2 B ~ 0 . Tertia dematur a fecunda , & pro- 
venit ^J^ 1 A-\- A ~- 6 B — r ^ quac deraatur a prima , & fit 
8 E = — ^ j feu B — ~- r » Hoc valore fubftituto prima 
o 
qu^tio j & quarta fiunt idemticac , ergo ex tribus A , A\ A' 
una determinari poteft ad libitum . Fiat A' = o , proveniet 
A' — ~r^ A^zzo: ergo. formula integraticnis erit 
I 4 I I 
ry (p ,Sh ,<p.Ch,(p —rSyd(p.Sh.(p.Ch,(p— — r^-cp^, 
NuIIo negotfo ck fuperioribus invenies Sy d (p .Sh.cj^.Ch.^f. 
Exemplum tertium . Exiftente f ~ 2 , q — i , g — ^ in- 
tcgranda occurrat formula y(p^d(p.{ Sh.cp Ch.o: — 
■> 
Sh ,(p ,Qh .cp ), Cafus exceptus eft ,in eoque valet theorema 
—3' . — i ' 3 
_)».(— Sh.qD H-jSh.cp.Gh. (p~i S h .op C h . o: -f- C h . 9 
~ r- : 
