-7- 



The absolute term C of eq. (17), except for the sign, has the value 

 of the determinant eq. (l6) if x and ^ are set equal to zero in it. 



The coefficient E of x^ is also found in a simple manner. 



The determination of D is somewhat more cumbersome, since it requires 

 the combination of two determinants. 



-Z?= a, 



(I-0-) n'^+Za:'^ -(n'^+a:'^) 



a.3 



(I-0-) cc^ 







Cl-o-)a:^ 

 



The computation leads to the value, 



(Translator's note: This value can be readily checked if we make the substit- 

 ution n^ + cr^ = Z and collect in powers of z.) 



Thus eq. (17) is completely solved. In order to write this expression 

 in a simpler form, we can make the substitution of the quotient 



^z^q (18) 



in place of CT • After this simplification we get the following equation (A) 

 + C/-crq) {^+O^Z(y)^^-^x'-^ ^.^-a-.O^OqJ 



(A) 



(Translator's note: In the text the last term in the bracket on the left hand 



CT ^, 

 side is given -j _0 <)« 



If we now replace C by its value O.3, equation (A) takes the form: 



y[/+2(|-0.3Q) (i+l.d6Q)] = -^, C'+75^/f(7=i)5-^^'r/+/.ic; 



(l+O.3SQ) + (l-O.3Q)0+l.6Q)]+^^^jl-(O.7+l.3q)x' (A) 



(Translator's note: In the text, the last term in the bracket on the left hand 

 side is given O.439) 



Since j_ is equal to p, except for a known factor, v/e have in equation 

 (a) the required expression. 



5. Simplification of the Equation. 



The equation (A) represents an hyperbola in an x-y coordinate system. 



