( ) 
•f/ tl 
yf JL r A d R* ; fmt autem mScn numer i im^ 
m * m-\~'2< ft 
pares vel inter fe primi vel eorum alter unitas ; ut fig- 
na abfciffse z dc ordinatae R fimul mutentur, ficut in 
tegula priori requiritur ; jam erit ordinata — s/^ R R 
R 
m 
m — n 
n 
R nZ R 
R 
j< + ^R" ; area igitur curvse, cujus abfcifla eft & 
ordinata si a a ~i~ R R + R, aequalis erit are^e curvae, 
nt — n __________ 
cujus abfcifta eft R & ordinata R"^ x c + ^ R" H 
s/^^+RR + R” X c-j~ d R % fi modo haec pofte- 
rior ordinata cum ablcifs^lu-^ angulum contineat aequa- 
lem angulo lub N M ^ ; unde hujus pofterioris curvas 
quadratura linea exhibetur problemati fatisfaciens. E- 
rit autem haec linea curva geometrice irrationalis, nift 
w & « certos quoldam numeros defignant, vel certa 
quaedam fit relatio inter coefiicientes c,d; hae autem 
conditiones ratione fequenti inveniuntur. Erit (a) 
m _ 
area curvae, cujus abfcifta R & ordinata R" H 
„+R ” 
K c d R* X si 'd a ”4~ R ^d R 
n 
c + 
n 
m ft fn ^ '^n 
m ___________ 
«/R‘ + R" n a + R R]’ 
n 
m aa 
d — 
w -f-' 3 n 
\/ r* 
A C 
maa 
m- 
-xn 
a a 
R* ut ftnus an- 
n 
{a) Per prop, quint, quadr. ciivv. Newton. 
guH 
