1873.] Gaseous, Liquid, and Solid States of Water. 35 



dp 1 



, ~<h 

 From these two Tables we obtain the following values of T^" as 



dt 



deduced from Eegnault's formulas (D) and (E). 



TABLE III. 



Temperatures. 



2J 

 -If 



Values deduced for 

 dp' 

 dT 



W 



319 



^=1-10 

 340 



405 



362 

 437 

 385 



:=M2 



= 1-13 



This gives for * at the freezing-point the value of about 1-09 or 



~dt 



1-10; while its value brought out in the earlier part of the present 

 paper by my brother's quantitative calculation was 1*13 ; and so the 

 feature expected shows itself here in Eegnault's results almost in the 

 full extent in which theory shows that it ought to exist. 



Regnault gives in the same memoir (page 627 and following pages) 

 another Table, one intended chiefly for meteorological purposes, and in 

 which the pressures are stated from 10 to +35 for every T ^ of a 

 degree. In this Table the numbers inserted as representing the pressures 

 below the freezing-point are slightly different from the corresponding 

 ones in his general Table already referred to ; and he mentions that this 

 slight discrepance has resulted from the fact that the two Tables were 

 formed at different periods, and were not calculated by the same formula ; 

 but he remarks that the differences are insignificant, as they scarcely 

 amount to '02 millimetre. Here, too, as in the general Table, the feature 

 expected shows itself, though in a diminished degree. By a careful 

 examination of its column of Differences for -i ff of a degree, and by 

 making a few small arithmetical adjustments which may be regarded as 



D2 



