( >^4 ) 
cujus abfdfTa eft r 3c ordinata a y. 
^ h-^cr + drr+&c 
^ — cr-\-drr — &c 
* w — n — 
Ponatur igitur — zzr ” + + + x 
r - 
^ — cr-{- d rr — x ^ ^ ^ ^ ^ ^ ^ 
X r -j- -f- ^<^^5 & curva, cujus ordinata eft r 
conditionem hie neceflariam habebit. Erit enim z 
= r ” x b b X b d — cc x r r d d * x 
A+ r r -\- Q (^c, cujus leriei coefficientes A, Bj 
C dantur per propoficionem quintam Tradatus de 
Quadratura Curvarum. Manifeftum aute m eft nec 
terminos hujus ferie i nec quantitatem bb-{-zbd — cc 
X rr -^d dr‘^-{~ ^ ' figna fua mutare mutatione 
figni quantitatisr ;'quantitas autem , ft m, n numeri ftnt 
impares, ftgnum mutabit, quando ipla r ftgnum mutat ; 
ideoque ordinata r 8c abfcifTa z ftgna ftmul mutabunt . 
Ordinata autem a x 
m — n 
z b-\-cr-\-drr-\- ^ c 
^ ^ b - — cr-\~drr — 
erit 
” xbb-{-xbd — ccx r r ' 
X b-\~cr-\-drr-\-^cY • Et hinc facile inveniri poft 
lunt curvse rationales. 
Pro exemplo ftmplici ponatur ^ — i — m — d. 
— o ; unde erit — ~ b b — c err, z~ b b r 
r 
— ~ c c r\ Ordinata autem curvae metiendx ^ 
abb-{-xabcr-\~accrr‘, ejufdem igitur area eft 
0l 6. a h b r a b c r r L a c c r^ ut ftnus anguli fub 
N M 'i^ ad radium ; ideoque erit V\^ibr-\-bcrr 
