28 ALF GULDBERG. M.-N. Kl. 
Ou Ou Ou Ou eu |? Ou > 
Aa role Eller 
a ee EG 
ot ar ot os or ox] al dy | dt ox] os 
BSH NE : 
Eliminating = from the first and the fourth equation, we have 
es A - 5 2 
Then eliminating 7 from the first and the third equation, multi- 
plying the equation obtained by an indeterminate quantity A, and 
adding the result to the second equation, we may set the result in 
the form 
på ef + Fa] åt] ea] 
where A is determined by the equation 
EG)? + GB + HG — AD =0. 
We see then, reasoning as above, that the only systems relevant to 
the solution of our problem are 
ou ou 
Ou ou 
ap TIE — ge Sist 
_ ED+ CG du 
ER JE å 9 
where A is determined by the given equation of the second degree, 
and where 
[ED + CG] [£2D + G(CE + BG))= G* [AD — GA]. 
