: 
, 
| 
j 
: 
j 
. 
rrr. Tew ee VEE Lee 
i] 
en 
—~ 
et 
— 
or 
0,7 (l—w—y) - 1,5476 @ + 0,2948 me 
With this simplification the determination of the coordinates comes 
therefore to the same as the determination of the point of intersection 
of a conic section, e.g. 
a, (ley) Fat +O, .4,f1— ty) Jar day 
b,(1i—a—y) + b,,u+b,5y RET ball —e—y) 4 De dban 
with a given straight line. 
In this case we find: 
ee 1 
EN 4 Et 
y 1 
and ste: = 
In fact the given numeric values for «,, and a, were chosen such 
that we might find simple values for the coordinates. 
Because of the asymmetry round the mixture with minimum 
critical temperature we might of course have expected that the centre 
of the ellipses which vary with the temperature, would change its place. 
For the theory of binary systems it was necessary to introduce 
the quantity «,,, whose value we are not vet able to deduce from 
the properties of the components. From the calculation of (2), by 
means of the equation 
(a,—Ab,) (a, —db,) om, (cs ibe =) 
follows, that for substances with a minimum critical temperature 
this quantity cannot be equal to Va, but that it must be less. If 
it were equal to Ya, the equation would yield a value 2= 0. 
ct TN 
Moreover it would follow from a,4, = a,,° that = : zi would be 
) , 
1 2 
9 
2 
greater than an as 6,6, in any case will be probably less than d,,°. 
ia 
For the application of our theory on a ternary system therefore, 
also knowledge of the quantities «,,, @,, and a,,, is required, which 
however must be assumed to be known from the knowledge of 
binary systems. 
The theory of the ternary systems therefore does not require any 
new data, above those of the theory of binary systems. 
16 
Proceedings Royal Acad. Amsterdam. Vol. V. 
