PROFESSOR KELLAND, ON MOLECULAR EQUILIBRIUM. 49 



2 « 3 2« 2 /2 , 2« 2\ , 



2/l+«a\ 7 2. 2. 7 . /l+a«+a/\ 



2 , , a 3 3« 3 /, 3« 3\ /l+a«\ 7 _ _, 



3 a a a V a a 3 / \ a / 



2 . , 7 „. (1 +aa + al\ 



„| (tf , + £ + c/ + ^/ 3 + /<) - §(« 3 + / 3 ) ( 1 + a « +tt * ) , 



if we denote « 3 j- r by C. 



a 2 a' 



By the substitution of this value and the corresponding value of 

 the coefficient of e al , the attraction becomes 



AM ?yr"- («-' («■ + - * « ♦ — p + 1 1 ) 



3 Fa« 2 I v a a y 



_ e +ai («i + £ _ ci - 1 - h ^ / 3 + /') 



a a 



, . 7N ll + a(l + al , 1+aa—al A 1 



- (a 3 + /') ( <?- a ' <? a/ ] | . 



30. I proceed next to find the value of the term omitted, by taking 

 the mass of displaced caloric between limits involving B itself. It is 

 obvious, that we have calculated the attraction of a mass which does 

 not exist, and shall have to subtract the value which we obtain in 

 order to get the correct attraction. 



Now we have to estimate the resolved part, along the line joining 

 the centres of the molecules, of the attraction of a mass of fluid of 

 variable density on the different parts of a solid conceived to occupy 

 the same space with itself. 



If we take any element P of the fluid, and estimate its attraction 

 on the whole solid, the result will obviously be the attraction of the 

 solid on this element. 



Vol. VII. Part I. G 



