CVIVSDAM DIFFERENTIALTS. f 



qiiarum diffcrcntia per p — q diuilii pnebet 

 £ B4- aC Cp-i-</) H-D ( pp^^pq-\-qqy\r^ Epqip-^-q)—^. 

 Tum vera pcior per q dcmta polleriore per p mul- 

 tiplicata dat diuifunc pcr p — q ftda : 



-4 A-B(p-H<7) -h D/)^Cp-f- 7 )4'4E/)/>^?=i:o 



ftiituamus nunc p-{-q — r etpqzns, et cx aequa- 

 tionibus 



aB-f-iCr-V-Drr-i-iDx-H^.Efj-rro 

 — 4. A — B r H- D r i"-- h 4 E X j- — o 



elidendo r^- pil- ^^' adipifcimur hanc aequationem 

 cubicam ; 



-f-D' T -BDD 7 -BBD 7 -t-B' 



- 4 C D E }-/4-4 B C E f-/ -t- +ACD i-j- - 4.. A BC rr o- 

 -I-sBEe] -SADE^ -8ABEJ -I-8AAD 

 Yiidc incognitii x definitur, quod igitur tripHci mo- 

 do ficri poterit. 



4. Cum igitur finc detrimento fcopi pracfixi 

 coefficicntes B. et D nihilo acqualcs aflrumere licear ,, 

 quaeflio noitra in intcgraU huius aequationis iaue- 

 nicndo vcrfatur 



dx dy 



V.(A-+-C*^-H Dx*) — v;.V '-4- C>j-i-D>*J 



quam hoc modo repraefentemus : 



dx t/ A -<- C X X -t- Dx* 



d y ' A-(-Cjjy-(-Dj*' 



vnde rclationcm intcr variabiles- .v et y gcncratim 

 clici oportct , id quod fcquciui. modo praeilare 

 couabor. 



A 3: 5- Po- 



