fubflitutis nunc pro X', X", fx, jji.', etc. eorum valoribus 

 fupra inuentis, aequatio nodra diflfcrentialis lequenti ratio- 

 ne erit expreffa: 



x' d^ y -4- A x' d' y -\-^ x^ d' y -\- C .V d' y 

 -\-Y) x^- dd y -^-'^ X dy -\~Y y — Oy 



exiftentibus 



-\- |3' v" - (3" y' -i- y" a - y a". 



C = 3 2 -M 4 (^ -M3' H- V") -V- 4 (5 -f e' -+- <") 



5 (a (3' - «' (3 -f- (3' y" - (3" y' -4- v" a - Y '^") 

 a£'-a'£+£'Y"-g"y'4-Y"«^-Y5"4-(Jp'-<J/(3 



(3^""- (3'^<^' + ^"'a - ^ a" 4- a (3' y" - a (3" y 

 a' (3" Y - a' (3 y" -+- «" (3 y' - a" (5' y- 



D=:4 + 4(a + (3' + v") -|- 2 (5 4- e' + ^") 



-I- 4 (a (3' - a' (3 -4- (3' y" - (3" y' -H y" a - V «") 



^1-2 (a£'-a'e-|-£'Y"- e" y'H- v"^ " V ^" 



_^5p'_5'^_|-p/<^//-|3"^'_|-<^//a-^a") 

 _^5£/_5/e_,_e'^"-£"^'-i-<^"5-^5" 



3 a ((3' y" - (3" y') -H 3 a' ((3" Y - P y") 

 Sa^^fSY^-P^y^ + ^^^P^^^-P^-^^+V^^^-ys") 



^-5(P'y"-(3"y') 



+ a'((3"<^-(3<^"4-ve"-Y"£) + 5'(P"r-Py') 

 -4- a" (p <^'-p' < -^ v' ^ - Y ^O + ^" (P Y- P' V)- 



E - a ((3' v" - 13"y' + y" ^'~ y' ^"+ ^ ^"- ^" '^'+ ^" P'- -^' ^") 

 -^^'((^"Y-^^Y^ + y^^-V^^+^"'?-^^'"^^^"-^'"!^) 



,,"(py_|fy4.ye-Y^' + ^4^'-^'< + <'P-'^P') 



-\- l 



