SYNOPSIS OF SUBJECTS TKKATEI). 



Pane 

 PrI';i,iminary IIiimaiik dm tlio roli> of oner^f_y mid entropy in tho tlioory of 

 tluM'inodyiiamic systems . _ . — _ 108 



(UiiTKRiA («r Kgrii.inRiUM and stahii.ity. 



(lrit(M-ia cininciiilod, 109 



Meaninj;; of t lie term possible variations, 110 



I 'assise resislanees 111 



Validity of the eritoria, 112 



TIIK CONrHTIONS iW KQUII.IHRIIIM KOU IIKTKlUKiKNKOUS MASSHS IN (10N'rA(;T, WIIKN 



IININKLIIKNCKI) HY (JRAVITY, KliKCTRICIT Y, DISTORTION OK TIIK SOIJD MASSKS, 



OR ('AI'IM,ARY TKNSIONS. 



Statement of tiie i)r()lilem, _. 11 f) 



Conditions relating to equilibrium between tiie initially existing homogeneous 



parts of the system, 116 



Meaning of tlie term hoiiKKjt'Hfous, 116 



Variation of the energy of a liomogonoous mass, 116 



Choicer of suhstaiiees to be regarded as components. — Actual and possible 



(•<)m])()iient.s, 116 



Iteduction of tho particular conditions of equilibrium when all parts of tho 



system have tho same components, 118 



Definition of the potentials for the component substancss in the various 



homogeneous masses, _ lif) 



Case in which certain substances are only possitile components in a part of 



the system, 120 



Form of the y)articular conditions of equilibrium when there are relations of 

 convcrtiliility lictwecn the substances which are regarded as the com- 



lionents (if llie tli(Teren( masses, 121 



('onditions relating to the possible formation of masses unlike any previously 



existing, ". 124 



Very small masses cannot be treated by the same method as those of con- 

 siderable size, 12!) 



Sense in which formula (52) may be regarded as expressing the condition 



songiit, 1 20 



Condition (5:5) is always sufficient for equilibrium, but not always necessary, 131 

 A mass in which this condition is not satisfied, is at least jmidically unstable, l.'J.'J 

 (Tliis condition is farther discussed under tlie head of Stability. See p. 150). 



h]fTect of solidity of any part of tiie system I'M 



I'llToct of additional e(iiiatioiis of coiulition, l."}? 



I'liTect of a diapiiragm, — equililu-iiini of o.sm otic forces, J 38 



FUNDAMKNTAL KQUATIONS. 



Definition and properties, 140 



(Joncerning the ((uan titles i/;, Xj C 144 



K.\])ression of the criterion of equilibrium by moans of tho quantity V 145 



K.xpression of the criterion of equilibrium in certain cases by means of tho 



quantity C, 147 



POTKNTIALS. 



The value of a potential for a substance in a given mass is not dependent on the 

 other substances wliich may be chosen to represent tho composition of the 

 ">«»s, 148 



Potentials defined so as to render this property evident, 149 



