■«hn ) 77 ( m- 



i + X^... + fAy... + i> _o; Xi. . + jji£. ..+yy . . .+*"_ o J 

 (j.e.. + ye.. + f(3..+a-'^o;ye..+P5..+ (7| 3.. + r y-o- 

 |j.i.. + v<.. + ?y.. + cr'-o; y i. . + ^. . + <ry . . + t"~o ; 

 £0..+o-e.. + T(3.._o;o-0.. + Te..._o; t + t' 0' +t" 0'_o; 

 ? i •• + o-^.. + Ty..-o;a-t .. + t^... = o;ti+t'i'+t"j"-of 

 lcilicct punfta illa , quac producftum quodpiam vti X0 fubfe- 

 quntur , indigitant occurrere praeter X0, quoque X' 0' et X"0" , 

 fcu fimilia producta ex quantitatibus commate notatis con- 

 flata. Ex his vcro octodecim aequationibus , nunc pro no- 

 ftris incognitis fcquentes elicientur valorcs : 



X' = -p; y.'_= (3"y-0y"- e 



X'_=-y; |j.''z=[3y'-p'y-£ 



y =(3'4«~^^-+-y» e '^yV'-+,'fl' , - r -(« 



v'=^-^"-+-ye"-y" e -0 

 y«__(3# -(3'£-^y>5- Y 6'-J 

 ? = ,3'i" -(3" t' -+-y"0'-y'0"-i_ e '£"-e"4' 

 g' =(3" 1 -f3 i" + Y 0" -y"0 -+- 6 '' < - e J» 



e '/-(3 1' -(3' i+yo-v^+^- _ e '£ 



o-=6'i"- e ".'-i-^"a'-^o"; t — e\"-0"i' 



0-'= e"l -ei" -+-£ 0"-<f0 ; t' = 0"i_0i" 



«H{=_ c 1'- e' 1 -+-<' -£ 0' ; t" = 0i' -0i'. 



§. 17- Si denique aequatio noftra finalis fola dirterentialia 

 ipfius x continens, fupponatur efle : 



d" 'x+Ad\v + Bd' x + Cd' x+Dd' x + Ed* x+F d\x+Gddx 



+ Hdx + lx — o 

 coefiicientes , A, B, C etc. fequenti ratione expnmentur : 

 A-cc+(3'+y" j Bz:^+ e '+^"+K(3'- a ' 1 34-ay"- a "y-fp'y"_(3"y' • 



K 3 C- 



