123 
in a concentration-temperature-diagram, then we obtain a curve 
dgaq,e | fig. 9], which has its maximum of temperature in the vicinity 
of the point «. The curve, which represents the solutions of the 
equilibrium G + L + Hg, is represented by zggg,z (fig. 9); it has 
its point of maximum temperature in the vicinity of the point 3. 
The curves intersect one another in g and g, (fig. 9); in this we 
have assumed 7, > 7). The dotted parts of the curves represent 
metastable conditions. 
Now we have two invariant equilibria, viz. 
in the point q : G+L,+ H,-+ He 
in the point g, : GH Lt H,+ H; 
In fig. 9 the solutions of the equilibria G+ L + A, and 
G+ L£L-+ Hz are represented by dqaq,c and xq8q,z; in the P,T- 
diagram of fig. 10 those equilibria are represented by the same 
curves. As we have assumed in fig. 9 ds = Des this must also be 
the case in fig. 10. 
The position of those curves in fig. 10 with respect to one another 
follows from fig. 9. On the horizontal line deze viz. the vapour- 
tension of the liquids decreases starting from d towards c; in the 
P,T-diagram the points d,7,z and c must be situated, therefore, 
with respect to one another, as in fig. 10. When we draw in fig. 9 
also other horizontal lines, then we see that the position of the 
curves dac and «32 in fig. 10 is in accordance with that in fig. 9. 
In the point g we have the singular equilibria: 
(M)= H, + He [Curve (M) fig. 10] 
Zi) =H. Het G [Curve (£)=¢qq, tig. 10) 
(G) =H. Het L [Curve (G)—=gqgo=go, fig. 10 
and Curve go fig. 9] 
and further the equilibria, already discussed : 
(H)=G HLH Hz [Curve g@ figs. 9 and 10) 
Hs) =G+tL+H, [Curve qd figs. 9 and 10). 
In distinction of the equilibria occurring in g, we give to the 
equilibria occurring in g, the index 1. Then we have in the point 
g, the singular equilibria: 
(M), = H,+ He [Curve (M) fig. 10] 
(LD), =H, Hed G [Curve (L), =q.g fig. 10] 
(G), =H, He L [Curve (G),=9,0,=49,0 fig. 10 
and Curve q,0, fig. 9] 
and further the equilibria, already discussed : 
46* 
