PREFATORY NOTE. 



THE present volume contains all the published papers of Professor 

 J. Willard Gibbs except those upon Thermodynamics, which are 

 placed in Volume I. of this collection. 



In a few cases slight corrections had been made by the author 

 in his own copies of the papers. These changes, together with the 

 correction of obvious misprints in the originals, have been incor- 

 porated in the present edition without comment. Where for the 

 sake of clearness it has seemed desirable to insert a word or two 

 in a footnote or in the text itself, the addition has been indicated 

 by enclosing it within square brackets [ ], a sign which is otherwise 

 used only in the formulae. 



, HENKY ANDKEWS BUMSTEAD. 

 RALPH GIBBS VAN NAME. 



YALE UNIVERSITY, 

 NEW HAVEN, 

 October, 1906. 



