— *3 — 



quocirca integratio dabit 



/ 



dp(4.p-h2yp-4-3&p p-+-tp°y 



^(aX-+-y-+-afi?+eJ>£) 



§. i0. Ut nunc postremam formulam integralem facil- 



lime evolvamus, ponamus ejus integrale esse t^W+Sf+^pT 

 cujus formae differentiale debitum habebit denominatorem , at 

 vero numerator ad hanc formam reducitur: 



ap(aA+y) B—Afy+pdp (BeF-+-aC (2A + 7) -Ar) 



-4- ppdp.3$C-\-p z dp. fC, 



hinc ergo obtinemus quatuor sequentes aequationes: 



1. 4^-(2A + y)B~AJ, 



2. 2 y — B <$* -+- 2 C (2 A -f- y) — A s, 



3. 3^=3<JC, 



4. s — eC, 



ubi binae postremae manifesto praebent C ~ 1 , tum vero 

 secunda fit B $ -}-- 4 a — A e ~ o x ex qua cum prima con* 



juncta elicitur B — — y — — — — ~ a , 



ac denique A — ia\-\-y)t-—ss ~ 9 quibus valoribus mventis- 

 aequatio nostra integralis erit 



q q , A -+- B p — C p p 



VX2X-HY-H2 5 p-f- t pp) /(sX-H-y-t-aS' £-+-£££) 



4- A, 



r A qq — A — Bp— Ctrp • C p p — q q -f- A •+■ B f 



bive a — V(2X ^ y _j_ 2Sp + tpp y mvc a — Y(*\-+~-h*Sp--i-tpp)>- 

 cujus quadratum a valore ipsius 5g „^ £ l. aX£ subtractum re« 

 linquit quantitatem constantem. 



