INVERSE METHOD OF DEFINITE INTEGRALS. 393 



PAGE 



Section VIII. On the Resolution of Equations which involve Definite Integrals. 



Art. 40. Method of decomposition into elements 371 



Art. 41. Density of a cylindric shell which exercises no action on any point in its axis 



with any law of force 372 



Art. 42. Examples when the law of force is the inverse square of the distance 374 



Art. 43. Resolution of equations which contain but one definite integral and one parameter 377 



Art. 44. Examples 379 



Art. 45. On the appendage necessary to complete the solution of a Definite Integral 



Equation 382 



Transient functions capable of representing in a continuous form the state of a body 



composed of mathematical centers of forces separated by infinitesimal intervals 383 



Art. 46. Equations which contain two or more Definite integrals and as many parameters 384 



Art. 47. Simultaneous equations to Definite integrals 386" 



Art. 48. Definite integral equations of superior orders and degrees 386 



Art. 49. Conclusion 387 



ERRATA. 



PAOE 

 First Memoir. 359, line 9. 16. 18. dele y in the sign ooy. 

 Vol. IV. 377, line 8. for A</3 read A-^ 1. 



406, lowest line and third from bottom, for terms read times. 



407, line 17. supply the word, equation. 



Second Memoir. Vol. V. 134, line 6, after -j^ supply (tf)*. 



d'P 

 line 7. after ,* supply (tf). 

 dt 



136, line 3, 4. 18. for v, put v.. 



Third Memoir. Vol, V. 332, lowest line, for /'"(•-')(() read /'"<'-"(«). 

 333, line 5, for /(O) read f"(0). 

 for m+3 read (m+3). 



337, line 8, put (tf)-" before ~ in the last term. 

 346, line 16, for intger read integer. 

 357. line 8,/or (1-ft*) reod (1-A)*. 



