212 Mr POWER'S THEORY OF 



whence 



By similar reasoning, superposing all the different attractions, each 

 diminished in the ratio of the densities of the attracting and attracted 

 materials, we shall have 



.■.i^=.(/.,^.g+(M,.^H-W^.. 



By combining each of the last five equations with the four equations 

 of No. 10, and eliminating r,, ^2, /a,, p^, we shall obtain H, K, L, M, 

 N, in terms of the actual densities r, p, the original affinities (H), 

 (K), (L), (M), (N), and the original densities (r) and (p). 



12. Let us now proceed to apply the principles of the three last 

 numbers to explain the experiments of Dutrochet. And first let us 

 consider those which relate to the statical force of endosmose. In 

 these experiments the process was allowed to continue until the fluid 

 raised, or rather the mercurial column which was hydrostatically sub- 

 stituted for it, attained its maximum altitude ; at this moment the 

 densities of the two liquids were experimentally determined ; and 

 instituting different experiments with different mixtures of the same 

 substances, Dutrochet found that the maximum altitudes were propor- 

 tional to the corresponding differences of densities. 



The substances employed in his experiments were saccharine or 

 gummy solutions on the one hand, and water on the other, and the 



