200 Opuscula. 
cy __fx 
— {- gx . Hanc autem xquationem ad conicas fe- 
2 2 
dliones pertinere, nemo unus eft,, qui ignoret . Imo fi fc^ 
ah^ de quo cafu mentionem fecimus N. X, five in hac hy- 
pothefi fc^ — rt^, erit ad parabolam Quantitas A eft 
conftans addita in integratione ^ 
XIL Deinceps aio, fi fb — ag;^ obtineri indet erminata- 
rum feparationem ope fubftitutionis fx-^g~^hy — zy ^ 
— 2" — hy -|-zy 
Namque tranfpolitis terminis erit x =r ^ ; igituE 
j> 
■ — hdy -f- zdy -f- ydz 
difFerentiando ax^ — — ; fadifque opportu- 
nis fubftitutionibus noftra formula mutabitur in hanc 
^a , ah , azydy — hz^dv z'ydy v^zdz 
*-\~ bdy -f- Cydy 
Deletis autem primis terminis ^ qui ex fuppo/itione fb ag 
deftruuntur, faiflifque neceftariis operationibus formala in 
hanc mutabitur 
ah — cf » • — ydy —a — h » - — zydy z t — ydy — y zdz y 
. — df zdz 
five — =z ' — ==r y in qua mveniuntur 
y zz — ■ z , a. -\~ h -\- ah — cf 
incognitac feparatx, Si fit az=: — ^h utrumque aequationis 
membrum ad logarithmos pertinebit, ex quibus fi ad nume- 
ros fiat tranfitus , invenietur xquatio XI noftrx hypothefi 
accommodata . 
XIII. Ut inventa formula ad magis notas redigatur , 
2 
r h . . a -h b 
fiat zz — z.a-^-h-^ laitur z> -H = 
4 2 
& dz-^Ldty fadifque neceftarii* fubftitutionibus obtinebimus 
— dy tdt -f- dt . "-—^ tdt -\- dt . t±l 
^ U — '^^' -\-ah — cf n^tzil — cf 
XIV. 
