INVERSE METHOD OF DEFINITE INTEGRALS. 317 



Equations to Definite Integrals ; first, when they contain but one Defi- 

 nite Integral and one parameter ; second, when they contain two or 

 more Definite Integrals and as many parameters; third, Simultaneous 

 Equations ; fourth, Definite Integral Equations of superior orders and 

 degrees; besides which, the nature of the appendage analogous to the 

 arbitrary constant of integration is discussed in the same Section. 



Throughout the whole of this Memoir, a considerable number of 

 examples, illustrative of the corresponding theories, are dispersed. 



TT2 



