83 



tum vero sin ita inter se combinentur ut l ducatur ia 

 RdP, 2 vero in PaR, repérietur fore: 



( g_3 R — K 9 0.) 



existen te 



- ZdP-rd K sin '$> 



• /K R3P — P3R 



Siri. <P •(R.dP — PdR) 2 -h (2,8 P — PdQ) a " 



Cum autem sit |* = Irzîf. t habebiraus differentiando • 

 pp ~ qq » 



unde porro facile derivatur : 



QdP — paa= ^. 



Simili modo cum sit £ — t±=zll difFerentialibus sumtis erit 



p q • » 



P3R — R3P (p' q — ^)i3x 



PP îî » 



unde porro sequitur fore : > 



R3P — P3R = M—JW* *. 



Denique ob ^ =: r z-T ~-*? er it ; 



n £ a — qx 



Q3R _ Ra p^ 3x [p'a (a — gjQ-f-g'gfr » — >fl 



2.Q. — (*— 4«ï* 



unde, multiplicando per Q., fit: 



Q.aR — RdQi= [p'(a- g «)-w ( px->n3» t 



His valoribus inventis, facile inde derivantur sequen- 

 tes determinationes : 



il * 



