1035 
We could aet in the same way for each of the curves of fig. 3; 
then we find all conditions which must be satisfied by the coefficients 
from (1) and (2). It follows, however, rather soon from a comparison 
of fig. 3 with the reaction-equation (5) that the conditions are: 
>>... a  eeesi(10) 
' ! 
1 as, 
¢ 2 
> 
da 
and 
pe Ts b be ce ide 
Ed 
2 3 1 2 1 2 (11) 
ce Ce i te Ge ad, 
ee 
C, Cy t, bn d, d, 
The reader will easily find a regularity in these conditions (10) 
and (11) in connection with fig. 3. In (11) we find viz. first the 
coefficients, relating to the phases of bundle (/), afterwards to the 
phases of bundle (B), then to those of bundle (S), further to those 
of bundle (C), ete. and for each bundle in the same order, in which 
the curves in that bundle succeed one another from left to right. 
In these conditions the reaction-coeffieients a’, and 7, of the phases 
A, and R, do not occur; this is based on the fact that we have 
taken the curves (4,) and (#,) as position-curves. 
Now the question arises whether we can always find reaction- 
coefficients, satisfying 
Peale t= fas Sy a Sgt a Vn ss —— (12) 
=a,ta,+...+6,+6,+...+¢+¢4+..-+4,+4,... 
Pdre Heee HS AS Ht HE, RE ee 
=b, Hb, Hete, 4d, He tHd, Hd, He. 
and also (10) and (11). It is evident that this is always the case 
and that we can find large series of values for those coefficients. 
When we take definite values for the coefficients in (1) and (2), 
then the question arises whether the compositions of the phases are 
defined by this. We see, however, at once that this is not at all 
the case and that those compositions may still change within very 
large limits. With each type of the P,7-diagram consequently 
infinitely many concentration-diagrams correspond, which are, 
however, all bound to the same limiting conditions |10, 11,12, and 
13] and they form, therefore, a definite type of concentration- 
diagram. 
When we take a ternary system, it appears easily that the com- 
positions of the phases are not perfectly defined, even if we assume 
definite values for the reaction-equations. 
