CHAPTER I GENERAL NOTIONS. THE PRINCIPLE OF CON-SERVATION OF EXTENSION-IN-PHASE CHAPTER II APPLICATION OF THE PRINCIPLE OF CONSER-VATION OF EXTENSION-IN-PHASE TO THE THEORY OF ERRORS CHAPTER III APPLICATION OF THE PRINCIPLE OF CONSER-VATION OF EXTENSION-IN-PHASE TO THE INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF MOTION CHAPTER IV ON THE DISTRIBUTION-IN-PHASE CALLED CANONICAL, IN WHICH THE INDEX OF PROBABILITY IS A LINEAR FUNCTION OF THE ENERGY CHAPTER V AVERAGE VALUES IN A CANONICAL ENSEMBLE OF SYSTEMS CHAPTER VI EXTENSION-IN-CONFIGURATION AND EXTEN-SION-IN-VELOCITY CHAPTER VII FARTHER DISCUSSION OF AVERAGES IN A CANONICAL ENSEMBLE OF SYSTEMS CHAPTER VIII ON CERTAIN IMPORTANT FUNCTIONS OF THE ENERGIES OF A SYSTEM CHAPTER IX THE FUNCTION φ AND THE CANONICAL DIS-TRIBUTION CHAPTER X ON A DISTRIBUTION IN PHASE CALLED MICRO-CANONICAL IN WHICH ALL THE SYSTEMS HAVE THE SAME ENERGY CHAPTER XI MAXIMUM AND MINIMUM PROPERTIES OF VARIOUS DISTRIBUTIONS IN PHASE CHAPTER XII ON THE MOTION OF SYSTEMS AND ENSEM-BLES OF SYSTEMS THROUGH LONG PERIODS OF TIME CHAPTER XIII EFFECT OF VARIOUS PROCESSES ON AN EN-SEMBLE OF SYSTEMS CHAPTER XIV DISCUSSION OF THERMODYNAMIC ANALO-GIES CHAPTER XV SYSTEMS COMPOSED OF MOLECULES