( 258 ) 



raised in Ihe beginning of § 3. The point of inlleetion at L (fig. 7) 

 need not have disappeared in either of the two nieltingpoint-cnrves, 

 when ^' has reached the extreme value 0. 



In a following paper we shall give a fuller discussion of the 

 important limiting case /?' rz= 0. 



4. Finally we wish to discuss more at length an important property 

 of the ('uti'ctic point C, which was only shortly mentioned in the 

 preceding communication. (I.e., p. 'J 66). 



A rule was namely given there of \'ery general a|)i)lication, i. e. : 



Wlu'ii ci\ = (('., (i.e. latent heat i-equired for llie mixing of the first 

 component with ,c = 1 is equal to that of the second comi)onent with 

 ,6' = 0) the coinpodtlons of th.e tivu solid pluise.'^ iclll be cuinplciaentary. 



We shall proceed to give the proof of this thesis. 



Evidently the system of equations holds for the eutectic point (the 

 compositions ,/•/ and .c./ of the solid phase are there in equilibrium 

 with that of the liquid .t') : 



T,\\-''-\i(^ — . 



'\ï 



1 .^ \lo,,-- — '- IH loo— i-r — %i — 7 



^ q^ l—x q, 'V q, l-.v 



■ ^--i ^ (16) 



1 _^ 1 loq -^ 



q, -'^ 

 If we solve from tiiis h^/ (!—.'') and hnj .i\ we get : 



lo.j (l-.r) = % (l-.r\) + I (^ - y) + IV' ^^' "^'"^ 



log (l-.r) = lor, (l-.r',) + | (^^ " y) -^' It '^' '"'' 



log X =z log .r', ^-^(^""^1 + ;^'^' (^""''s)' 

 from which follows by equalization : 



wiiich is evidentlv satisfied by 



..^/ = J --•/ (17) 



q. e. d. 



