(713 ) 
lies at a value of « which is just one of the limiting values of x, 
B 
(on A and the equation 4—=9 A—B yields the value 2 for B. 
Pie ee s 
(n—1)?a (n—1)?l—a 2 
Sf 3 n-1 
SO ) must be > jor ni. > A0; 
Le 
Now, however, if we assign values to «, and «, the condi- 
tion of the second case will in general not be fulfilled, and 
sk n'e, 
T + ea eae 
(n—-1)?n = (n—1)? 1—a 
excl 
(n—1)?n a3 Geil 
a will have a value between 1 (that of the first case), and O (that 
of the second case). And the result will then be that the condition 
must then yield real values for z, and 
will not have risen to 1 — but we shall 
2 
ne, 
have to put <1, or equal to 1—a, in which 
Hij 
=< will require a value of m which is greater than 3.75, but 
which need not rise to 10. 
But I shall not continue the calculations required for this. If we 
review what precedes, it appears sufficiently: 1 that the case that 
three-phase-pressure exists between temperatures that differ little, 
may occur for all values of n — but that if is small, these two 
temperatures lie too low to be observed. It is not possible to give 
the exact value of 7 for which these temperatures if they exist, can 
be observed, before the ratio is known between the temperature at 
2 2 
which the two surfaces = 0 and mt =0 touch, and the tempe- 
rature at which the double plaitpoint has appeared or disappears. 
2. That for the case of fig. 40 the required value of m may be 
estimated as at least 4. 3. That as e,‚ and e descend below the 
parabola OPQ, the two temperatures between which three-phase- 
pressure can exist, diverge further, and that only if ¢, and ¢, (we 
only deal with positive «, and «, here) have become equal to 0, the 
lowest temperature has descended to the absolute zero point. 
If we further take into consideration that the point ¢€,, €, lies on 
the curve a’,,=/?a,a,, which represents in ¢, and &, an ellipse, a 
parabola or a hyperbola according as # <1 or > 1, and that of 
this curve only those points which lie in the triangle OPQ (below 
the parabola) yield a closed curve which we have treated, we see 
that the phenomena discussed do not only depend on n, but that 
besides special relations must exist for a, and a, and a,,, which are 
