TABLE 



OF 



CONTENTS OF THE WORK 1 . 



PAGE 



PRELIMINARY DISCOURSE 1 



CHAPTER I. 



Introduction. 



SECTION I. 



STATEMENT OF THE OBJECT OF THE WORK. 

 ART. 



I. Object of the theoretical researches .14 



210. Different examples, ring, cube, sphere, infinite prism ; the variable 



temperature at any point whatever is a function of the coordinates 

 and of the time. The quantity of heat, which during unit of time 

 crosses a given surface in the interior of the solid, is also a function 

 of the time elapsed, and of quantities which determine the form and 

 position of the surface. The object of the theory is to discover these 

 functions 15 



II. The three specific elements which must be observed, are the capacity, the 

 conducibility proper or permeability, and the external conducibility or 

 penetrability. The coefficients which express them may be regarded at 

 first as constant numbers, independent of the temperatures ... 19 



12. First statement of the problem of the terrestrial temperatures . . 20 

 1315. Conditions necessary to applications of the theory. Object of the 



experiments 21 



16 21. The rays of heat which escape from the same point of a surface 



have not the same intensity. The intensity of each ray is proportional 



1 Each paragraph of the Table indicates the matter treated of in the articles 

 indicated at the left of that paragraph. The first of these articles begins at 

 the page marked on the right. 



