If both members are multiplied by w, and subtracted from 1, 
we get: 
: b, + (6,,—5,) # 
he Ae 2(b,,—b,)w + (6,+6,—26,,)a’ 
From the equation derived from this, : 
(4,,— 4) a (a, +4,—2a,,)@ eb Ot Prat de 28) 
a, + (@,,—4,) 2 ij b, + (b,,—b)e 
a, + (4,.— a,) wv 
a,+2(a,,-—a,)x 
Gey +a ,—2a,,)2? 
or 
i We i esa ae SOR 
a, (l—a) + a,, 2 b, (1—a) + b,, 
or 
REE Se 
a, (la) + a, b, (l—2) + Hen x 
p a, a, : at : 1 
For the case that-—=— or Tr 7), we- find 2 ana 
b, b, 7 1 i] 
7 
1 (Pa pias 
1+yn 
Let us put the difference of 7, and 7, such that r= 1, just as 
for the system water-ether. Let us keep 7, constant, but let us 
take 7, variable. With decrease of 7, the minimum has got outside 
the figure, and properly speaking (7;)min no longer exists. With 
increase of 7, the minimum enters the figure, and moves towards 
smaller 2. If 7, has increased so much that it has become equal 
2 
1 
o 7,, « has become equal to —_——. If we then keep 7, constant, 
14 /n 
so retaining the value which we had assigned to 7, at first, and if 
we now make the critical temperature of the first component decrease, 
: . 1 
the minimum lies at still lower value than — — , and when we 
lt+yn 
make this value decrease to the amount that we had originally 
assigned to 7, « has become = 0. So the minimum always lies on 
1 
that side where 7; is lowest, reckoned from «= -—WY—. 
14+Yn 
If 7 is put below the limit for which there still exists minimum 
2 
T, and if with the’same value of n 7, > 7, is taken in the first 
Lv sa 
case, and 7’, > 7, in the other case, the values of ie dif- 
nh 
ferent. There is, however, a simple relation between these values, 
