( 905 ) 
C' is formed. So here again we meet with a circumstance to which 
I had directed the attention already before, also in the previous 
Contribution. 
The part CDF yields the whole series of hidden plaitpoints. Here 
too we have again assumed that not 7'=0 for the point /; but 
also in the deseription of this plaitpoint line I have not anxiously 
questioned whether it can occur for positive e‚ and «,. The line CL 
contains the plaitpoints of the longitudinal plait which lies closest 
€ 2h 
to the equilibrium liquid-vapour. As we have assumed — > 0, the 
av 
point / will lie at the highest temperature at which the longitudinal 
plait still exists, and at a value of v larger than 4. The line LA 
contains the plaitpoints of the longitudinal plait on the side which 
is turned towards v =b, and at temperatures above 7’. and KF 
these same plaitpoints below 7. The supposition that the longitudinal 
plait should not be closed on the side of the small volumes, would 
therefore, cause the whole line HAS’ to disappear. 
The three-phase-pressure lies between 7, and 777; the coexisting 
liquids form a closed curve, and the vapour branch always lies on 
the left of this curve. This has been drawn thus in accordance with 
the supposition that also at the lowest temperatures the maximum 
pressure on the p,v-line will occur, and will not have got hidden 
under the three-phase-equilibrium. Though I incline to this view, 
and then the objection which I mentioned in the preceding contri- 
bution to the assumption of three-phase-pressure for mixtures with 
minimum 7} would have been removed, this particularity requires 
confirmation. The vapour branch has been drawn in such a way 
that with increase of temperature the value of « becomes larger and 
approaches the value for which 7% is minimum. The first component 
has namely the smallest value of 5. 
desides in fig. 47 the course of Tr ft) and P,;= #2) has also 
been represented. The points of intersection of this curve with CLA 
must not be considered as real points of intersection because the 
value of p will differ. 
And now in conclusion this remark. Just as fig. 39 passes into 
fig. 40 if we make /. increase till this point gets in the neigh- 
bourhood of 7), = f(t) — fig. 47 will pass into fig. 43 if we make 
the point C' rise, till 7;,—= f(w) is reached or approached. Whether 
this is only a mathematical particularity, however, will have to be 
settled chiefly by experimental data. 
61 
Proceedings Royal Acad. Amsterdam. Vol. XI. 
