2^2 OpUSCULA. 
Coliatio com proponta fufficiet quinque xquationes, 
i.^ 2 A ~ = 0 , 2,=" ^A-l- 2 A — 2 A' =.o, 3 ^ 2^" 
Prima dematur a fecunda divifa per 2 , & orittur 
6,^ 2 A — A'^0. Quinta addatur quartse divifae per 2, ut 
proveni^t 7,^ h- 2 A'^ — 0 .Tertix dudse in 2 dematur fex- 
ta du6U in 3 , & addatur feptima duda item in 3 , & re- 
fultabit 8.^ % A ~r ^ cx qua facili calculo coefficientes om« 
I 1 I 
nes determinantur in hunc modum A — — r.A'~ — r, 
I ,M ■ I U, I 
— — 5 i^"' ~ r , — — , quibus fubftitutis in 
5 lo ' 20 ^ j ^ 
formula fuppofita habebis veram integrationem ry.{ — bc.q? 4- 
-i- Sc.qD.Cc,a-f- — Sc. cp .Gc.cf» Sc.Oj.Cc.&^h- 
C c c (p ) , 
20 ^ 
XIV. Quod diifium eft de finibus & cofinibus circularf- 
bus , dicendum eft de hypeiboiicis , dummodo non hsbeatur 
cafus exceptus . Nam difFereotiahs jy . b h . ^9 .K^h.qcp 
fupponatur integrale effe y . ( A , b h .q n -{-A hh. qcp 
C h . f 'o-fr^' S h (p .C h.^cp -f^" S ,<^h.f i- &c, 
Hxc formula differentiata comparetur cuni propofita ; per 
sequationes, qux refuhant, determinenrur ccefficientes, & 
habebitur fummatoria quaefita . Ad praxim magis declaran- 
dam duo aifero exempia , 
Exemplum primum , Pofito q — i ^g— 1 , proponstur in- 
— 3 -r- 3 
tegranda y d'p{ — S h . cp -H C h . 9 . Supponatur ejus integrale 
; i 3 ; 2 2 
efTe^.C^Sh.cp -f-^^^^h.cp .Ch.a-i-^^Sh.cp.Ch.^-h 
-3 
^'*Ch.® ). Differentietur 
i 2 ASh. rt/n- 2^*bh.q3.Ch 9-1-2^" Sh.^.Ch.<?} 
( -f- j b h .(p .Gh.^-i- 2v^'Sh.j-.C h.a? 
3 - — 
A'hh .(p H- 2 A^hh .(p ,Ch.^p-\-i S h • C h .cp 
+ 2 ^"C h.:p'^ 
-f- A Ch ) . 
Fiat 
