( 892 ) 
hardly possible to me to derive the course of these curves from 
them; but if our purpose is only to form an idea of the points in 
which these curves intersect, fig. 1 of these Contributions in which 
the general course of the p-lines is represented, and the following 
figures, in which the general course of the q-lines is represented, 
yield sufficient data for this. Most of the properties which I have 
to discuss, have already been discussed somewhere in these Contri- 
butions, and for my purpose it is now only required to collect these 
scattered observations and perhaps define them a little closer here 
and there. 
With regard to the curve ($3) = 0 it is known that the point in 
sce 
D 
; dp Ma , dp : : = 
which | — }= 0 intersects the line | — } =O, viz. the point of inter- 
dr) dv CA 
section with the smallest value of v, is a double point for this curve. 
From this point starts a branch to the left and one to the right, 
d 
which remains inside (7) = 0, but which also passes through the 
Vr 
double point of (3) = 0 if the temperature is equal to the minimum 
U/x 
value of 7%, and also continues to pass on regularly if 7 is higher 
d 
and (3) =( has broken up into two separate branches: in this 
US xy 
ie d 
case it passes through the critical points of Ge At not too 
U/x 
d? 
small a distance from the double point of ) = 0 the branch 
x p 
which we discuss here, passes about through the critical points of 
the mixtures taken as homogeneous. But from this same point of 
Ip d 
= ) = 0 and 5) = 0 two more branches proceed 
v U/ 2 
Hij 
intersection of ( 
to the side of the small volumes. These branches lie on the right 
di 
and on the left of the curve cee and this curve will finally 
v/v 
cause them to move to the righthand side. 
The righthand branch always passes through the point in which 
dp 
Fr ) has minimum volume. A line p=c turns its concave side to 
at v ® 
the v-axis between the points in which it intersects these two branches 
Pv 
of & = 0. But if for sufficiently high value of p these two points 
LE Jp 
dt me Arta 
