289 



wherein /., A', 1 -)- /v and 1 — /v^ ave positive. In each of the three 

 formula's L and K liave different values. 



In order lo apply the above we take the figs. 1 and 2, wherein 

 XY is a side of the components-triangle XYZ. The points FL^ L, 

 and G represent the four phases of the invariant binary equilibrium 

 E{x^Q) = F -\- L^ -\- L^-\- G. When we add anew substance 

 A' then the ternary equiiihrium E = F ^ L^ -\- L, -\- G arises. The 

 liquids L, and L, then proceed along the curves L, q^ )\ and 

 Zjj '/i '", ; fl^s the new substance is not volatile, G follows a part of 

 the line XZ. When we add only a little of the new substance, then 

 the liquids are represented by the points q, and q, in the immediate 



* ^z 



dT>o 



dT<o 



Fig. 1. 



Fig. 2. 



vicinity of L, and L, ; for the sake of clearness they have been 

 drawn in the figures on greater distance. 

 In fig. 1 is: 



'!?_■> *■ 



or :ri>^^ .... (34) 

 y— .'/, ' V—lh -''i y-Vx 



consequently in accordance with (28): ((/7')j: > as is also indicated 

 in the figure. It follows from (31)— (33): 



in case a is {dF^x < 



„ „ i ., (rfP), < 



„ „ c „ {dP), < 



as is also indicated in fig. 1. 

 In fig. 2 is: 



^< 



or - < 



y—yt y-yi 



It follows from (28): ((/T)^ < 0. From (31)— (33) it follows: 



(35) 



