r 62 ) 



80 lliat Kameklingh ( XNNEt»' euefik-icuts a^ ,i and 7 hee-unie 



Further we liiid, bv comparing my eqnation (18) with tlie al)o\'e 

 equation of state : 



^ ^ 'I l_3_il_f_2 ' 





dvd.vjr/c 27 b,'\a^ b 



' '■ ' ^ ' 1 _L 2 -^ 3 



"■' 2ydv'd.vjTlc 27b,'y ' a, b, 



^1/-ÖV^ l_a^ 



If these special vahies are substituted in my general formulae, 

 Kortkweg's special formnlae are obtained, and in addition some 

 which he has not gi\en. These are not given here as they are not 

 sufficiently simple and tiiey can also be easily repi'oduccd. 



KoKTEWKG has already given the results olttained IVoui tliese foruiulae. 

 1 will here only remai-k that the special cases 1, 2, 3 and 4 of 

 Kokteweg's fig. 1 agree with my fig. 15 and the cases 5, 6, 7 and 

 8 with 14. As fig. 15 is obtained for the case that m\i+7i!7Y- /«„^O 

 and tig. 14 when m'„^ + 7v7V ///j^ <^ U, the boundary between the 

 two cases is determined by m'\^^ -\ IIT/^. m^^ = i), which in connection 

 with the special equation of state can be written 



3a,„ b,.,\^ /a,„ b,^\ 

 1 ^ + 2— + 8 -^ ^ = 0. 



This is the equation of the parabolic border curve gi\en b}^ Korteweg. 



(June .24, 1903). 



