(170) = 



quae cuin propofita per a diiiifa 



xdx-h^ydx-{-^xdy-h-^jdj=:zo, 



coinparata praebct has determinationes : 



I. a -I- (3 := I , ' 



■ 11. a 23 4-^21 = A, 



III. a2i + [3?5=-^, 



IV. Ca-f-p)5I^=z4-, 



cx quibus pro a, ^, 5(, 58 iidem plane valores deducuntur , 

 quos Aipra §. i6. inuenimus. 



§. i8. Nunc quoque, ob numerum fadorum denomi- 

 natoris determinatum, facilius perfpicietur proprietas illa aequa- 

 tionum homogenearum rationalium fupra §. ii. memorata , 

 quod fit (ii) — S. Cum enim noflro cafu fiat 



d y ■ 



2 rr a / (jr -I- 50') -f- (3 / (.v -f- Sjr) , erit 



^ a y x-k-% y ^^ 5c -t- 55 :> ' 



hoc eft 



aj __ (-X J M-t-P J8)x-f-(a-l-|3 )a<g> ^ 



d jy a:\-c -I- ( 3{ -f- 9D ) X > -I- '31 35 j :>- 



At vero fubftitutis loco a9l-»-p^3, ^in-S, ncc non (a-f-(i)2(33 

 valoribus modo antc inuentis , fupra et infra per a multipli- 

 cando nancifciraur: 



/ a^ \ c x-\- A y __ c 



^ o y' (lxx-^\,h-^c]xy-\-(Xjy ' 



Vt fupra in genere inuenimus. 



Inte- 



