322 



substituting this value in the right hand side of equation (B), 

 also simplifying the numerator, we have 



\p V' 



\p p_ 



v = v . . l-F' ^ 



^P 



M 



therefore 



\-F 



4- log -' 

 M ^ p 



Modifying the right hand side of this last equation, by dividing 

 each term by the coefficient of F', we have 



M ^ p 



V =v 



1_1 

 P P 



M ^ p 



Let 



1 



1 



p 



P 



1 



M' 



^P 



1 



1 



P' 



P 



-F. 



beP; 



then v=vx. pp, 5 being the formula given in note, Proceed- 

 ings of Royal Irish Academy, vol. ii, p. 565 ; F being ^ {f^f), 

 or the geometric mean of forces of aqueous vapour. 



