PAPER BY PROF. ISEZOLD. 



277 



apex of a right-angled triangle whose vertical side is F 3 F 3 and whose 

 hypothenuse is parallel to the guide-line. 



If now we imagine the point T :{ moving to and fro along the axis of 

 abscissas, then the apex of the triangle erected in the given manner 

 upon the vertical side F 3 F 3 will describe a straight line passing through 

 the point F 2 , which line we easily find when we erect such a triangle on 

 the portion cut off by the 

 straight lines F } F 2 and F x F 2 

 from any arbitrary ordinate 

 and then join this apex with 

 F 2 . 



We can, for instance, as in 

 Fig. 45, choose for this pur- 

 pose the ordinate erected at 

 T x . 



Then 2^-FoFi is the triangle 

 described and F F 2 is the 

 straight line on which the de- 

 sired point F must lie; but 

 since it must also lie on the 



saturation curve, therefore it is at the intersection of F F 2 and the 

 curve Fi'F 2 ', and the desired limiting value of the mixing ratio is 



Fig. 45. 



1\T 3 - 



1Uo 



1 



When the mixing ratio attains this limit or exceeds it on the side 

 toward m 2 , that is to say, as soon as — 2; = or >/i a complete dissolution 

 of all the suspended water occurs. 



Mi 



In such mixtures it can 

 happen that the line F F 3 

 cuts the curve JV F 2 ' on the 

 left-hand side of 1\ F x . In 

 such cases the temperature 

 resulting from the completion 

 of the mixture is lower than 

 that of either compouent. 

 The mixing ratio for which 

 this phenomenon begins to 

 occnr is easily found by d raw- 

 ing, as in Fig. 4G, through F 

 (which is in this case identi- 

 cal with F x ') a line parallel to 

 F Q F x (which is a guide line), and find its intersection with F { F 2 . The 

 abscissa of this point is then the temperature t 3 , which is producrd by 



