( 451 ) 



9. Tlio t'ollovviii^^ tiiblo .i»ivcs llie cliaractcristics for the diffe- 

 rent regions. 



Region 



1 (2y'-3xV-8(y'-x')>0;2y'-;)K>0;(2y'-:5xy-l(ly'-:?x')(2y'-3x') f lGy'>0 



<0 

 >0 

 <0 

 >0 



<o 

 >o 



A sijuilai- tabular survey of the i)hysical properties of the regions 

 seems superfluous, as tliese properties may l)e immediately read from 

 tlie illustrations of fig. 1 of -the unfolding phite. 



10. It seems not devoid of interest to know how the breadths of the 

 regions change with regard to each other, when continually increasing 

 values of y' are considei-ed. An inquirj' into this shows at once that 

 the blue region 5, measured along a line parallel to the x-axis, has 



2 

 a limiting value for the breadth of —. All the other regions mentioned, 



o 



however, continue to increase indefinitely, and do this proportional 



with |/y' and in such a way that the yellow and the red region get 



gradually the same breadth and in tlie same way the green and the 



purple one, but that the breadth of the two first mentioned regions 



will amount to 0,732 of that of the two last mentioned. 



If we also take the white region (reckoned e. g. from the y-axis) 

 into consideration then we find its breadth at first approximation to 

 be proportional with y', so that it exceeds in the long run the other 

 mentioned ; the orange region keeps of course an infinite breadth. 



The limiting values of the ratios may therefore be represented 

 as follows : 



ivhite i/elloui (jreeii blue purple red oraw/e 



~^ ~~ 0,732 ~ ~T~ ~ ~0~ ~ Ï ~" 0,732 ~ oc * ' ' ^^^ 



We Miay see that if we keep x constant and make y to increase 

 we alwaj^s reach the while region, while reversively increase of x 

 with constant y loads fiually lo (he orange region. Strong attraction 

 between the molecules of the admixture and those of the principal 



30* 



