( 2 5 ° ) 
Vel fcribendo c pro a -f b> & q pro (*#-}- v) x 
(« -f- i) z (# + *) 7 T a n (b b -f- x b h r -j- r r) 
4 - 2- («? 4 - 0 / r " +I — 1 % f a* b c m ~ l h r 
^ fa n f”-' h h r r = x{ n - i) t a n c m + * 4. 
x ( m 4 " 1 ) P a n * x c m — 2 q fa" *' bc m ~* — 
qfa " + l f 
Pater, in omnibus hypothefibus, fe&ionem fluenti 
cfTe curvam algebraicam, exceptis tantum hypothe- 
fibus attraftionis verfus y vel verfus C in ratione fim- 
plicis diftantise inverfa ; nam fi fit tantum m = — 1, 
habebitur pro fedtione fluenti 
~ — L (b b 4 - 2 . b h r 4 - r r) 4 ~ — — 
1 n-fi.a n 
f±br_ f hh rjr = 1 _(a _+b) L (a + by + 
x {a 4 - b) x ' ' 
pa fab f a a 
n 4-1 a-\-b z(a-{-b) 
ir C 
. vel 
r_c - / bbjj-xbhjj^-fj^ \ / r" * *• , 
1 \ cc ) ( »4- 1 ) * n ~*~ 
f hbr 1 fbh rr - pa fab faa 
c ' x~c ~ i ~ »4- 1 c x c ' 
Et fi tantum » = — i, habebitur 
m + i 
+ + rr)-r- , a Lr 
m 4- 1. ( a 4- b) m 
ffhrr = r( *p) 
x ( a -J- b) m-\- 1 
faa . 
i- CjJ=- 
fb_hr 
a 4* b 
fa b 
a -f 
V (bb 
