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n?+n equations. Besides the (n—1) (m-+1) variables x, wr, .. Oi deren 
etc., we have still the n+2 variables PTK K,..., consequently 
in total n° + n + 1 variables, the equilibrium has one licence, there- 
‚fore, it is monovariant. 
We have assumed with the deduction of (1) and (2), that each 
phase contains all components and that it has a variable composition, 
the considerations are true however also when phases occur with 
constant compositions or phases, which do not contain all components, 
provided that there is at least One variable phase, which contains 
all components. Later on we shall refer to other cases. 
It follows from (1). 
SdP HT 9 d 
02; 
+yd dem — OK se... (8) 
Ox, Oy. 
tl a (ft all) 
in which the sign d indicates, that we have to differentiate with 
respect to ali the variables, which the function Z; contains, consequently 
with respect to P, T,a;y;... 
It follows from (2): 
0Z, 0Z, OZ n+ 
ALE d ao, == ak, 
0a, Ox, Òz Hi 
OZ, ÒZ, OZn44 
d == il Ens =S == dK, 
dy, dy, OY n4 7 
in which the sign d has the same meaning as above. 
We write the phase reaction that may occur in the equilibrium 
H==F,+...+ Bt: 
4,f7,4+4,F,4+.. Anti Ben Oke Aten (5) 
The n ratios between the „+1 reaction-coefficients are then 
defined by the » equations: 
B M= aide rte ane 
2B (Ab) SSA Ae, Les Kal tay 10 | 
| (6) 
= (Ay), y, FAY, th... + Ant Ani = 0 | 
When we add the equations (3), after having multiplied the first 
bv À,, the second by 4,, etc. it then follows with the aid of (4) 
and (6): 
EAV) dP AE (KH) saT =O 
or 
dP = (A H) 
wT San’ (7) 
(AV) 
