222 ON THE ATTRACTIONS OF ELLIPSOIDS. 



which in consequence of the well-known formula 



~~ 

 by reduction becomes 



r 



since in the formula (8), r ought to be made equal to zero at the 

 end of the process. 



By conceiving the auxiliary variable u to vanish, it will 

 become clear from what has been advanced in the preceding 

 number, that the values of the function V within circular planes 

 and spheres are only particular cases of the more general one 

 (49), which answer to s 2 and 5 = 3 respectively. We have 

 thus by combining the expressions (48) and (49), the means of 

 determining V when the density p is given, and vice versa; 

 and the present method of resolving these problems seems more 

 simple if possible than that contained in the articles (4) and (5) 

 of my former paper. 



