PAPER BY PROF. BEZOLD. 



277 



apex of a right-angled triaugle whose vertical side is F^ F3 and whose 

 hypotheuuse is parallel to the guide-line. 



If now we imagine the point T3 moving to and fro along the axis of 

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

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

 the point F2, which line we easily liud when we erect such a triangle on 

 the portion cut off by the 

 straight lines ^i F2 and F^ F^ 

 from any arbitrary ordinate 

 and then join this apex with 



We can, for instance, as in 

 Fig. 45, choose for this })ur- 

 pose the ordinate erected at 



Then FiFoFi is the triangle 

 described and Fo Fi 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-z and the 

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







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



toward nh, that is to say, as soon as -- =or >// a complete dissolution 



of all the suspended water occurs. 



In such mixtures it can 

 happen that the line F F3 

 cuts the curve Fi' F-/ on the 

 left-hand side of Ti ^1. In 

 such cases the temperature 

 resulting from the completion 

 of the mixture is lower than 

 that of either component. 

 The mixing ratio for which 

 this phenomenon begins to 

 occur is easily found by draw- 

 ing, as in Fig. 46, through F 

 (which is in this case idt-nti- 

 ^"'■'*°" cal with Fi') a line parallel to 



Fo Fi (which is a guide line), and find its intersection with F1F2. The 

 abscissa of this point is then the temperature ts, which is produced by 



