C4133.) 
p. 9, if 7, and pe were known as functions of v and y. If we 
a : a 
assume, that 7 is proportional to — and »„ is proportional to — 
; 5 
as follows from the form of the equation of state I have adopted, 
then we see that w',,—=0 in the case under consideration represents 
a feebly bent curve, which starting from the _Y-axis intersects either 
the Y-axis or the hypothenuse. Which of these lines will be cut 
depends on the values of (7), and of (7), and on the size of the 
molecules of the components 1 and 2. As intermediate case the curve 
WU, = 0 might pass through the angle of the third component. In 
fig. 14 I have represented it by 
curve DI’, so I have assumed it to 
cut the hypothenuse. The area of the 
triangle may be divided into two 
parts according to the value of u’, . 
On the left of DF this quantity 
is positive; on the right of DF 
it is negative. As the quantity uv’, 
does not change its sign in the case 
under consideration (the pressure 
not presenting a maximum on the 
lines AC and BC), the value of 
(Ux, —1 
Fig. 14 OE is positive on the left of 
Vr 
DF, and negative on the right. The points in which the tangents 
to the nodal envelopes are vertical, can therefore only be found on 
the right of DF; tangents parallel to the hypothenuse on the other 
hand can occur on the left of DH. On the line DF itself the tangents 
have a direction, passing through the point C. The curve D/ repre- 
sents the locus of the points whose tangent is vertical, and the curve 
DH that of the points whose tangent is parallel to the hypothenuse. 
We may easily form an idea of the course of the nodal envelopes 
themselves in main features if we consider them as slight modific- 
ations of the shape they should have if the curve DF were a straight 
line, directed towards the summit C. In that case namely the course 
of the envelopes in the left part is the same as that of fig. 13, — 
with the modification which follows from the fact that one of the 
sides, adjacent to the right angle is smaller than the other, and 
in the right part it is symmetrical with fig. 18 with regard to the 
Y-axis, — with the modification which follows from the fact that an 
obtuse angle occurs instead of the right angle. In the left part AD + DC 
is one of the outmost envelopes; in the right part BD 4 DC. 
