Simili modo erit t-^JL^ — j/ Y' -f- a Y, quae duae acqua- 

 tiones inuicem additae dabunt 



. 4ii _ i±^ ^ V X' I ^- Y^ _f- a (X + Y). 



Subftitutis autem valoiibus et facla fubftitutione refpe<3:a 

 literarum' p et q reperinir 



a X 4- 2 Y = 4 B + 4 C/»+4 D (/>/>+ y^) + 4E;> (pp + 3 7?}» 

 Deinde ob . 



j» Y' = 2 Cyj' -+- 4 D y -f- 6 Ey" erit 

 A-X'-fy Y^ir^Cp + i D (/>/> + ^7) - 1 2 Ep (p/^+ 3 ?^) 

 ex quibus conrundis fit 





4B-h8Cp + i2D(/»;> + ^f) 



i6Ep{pp-{-5 qq). 



§. 75. Ab hac formula fubtrahatur fupra inuenta 

 ^Pl^ quater (iimta, ac remanebit 



'-T^' - ^^ = S D ^ ^ H- 32 Ep ^^. 

 Nunc vtrinqne mulriplicetur per ^ et prodibit * 



-aT^ (*'fr- - '^;-^ = 8'd ^p + 32 E;.^/> 



cuius integralc fponte fe offert ita expreffiim 



A|V zr4^-i-8Dp+i(JE;)p 

 ideoque extrada radice 



^ = 2 V A -t- 2D;> + 4E;>i>. 



§. 76^. Cum nunc fit 

 ^-^^ — xVX^yV^l tt 2q~xx-yy 

 fadlat fubftitu^ione orretur haec aequatio : 



quae 



