UNIVERSITY OF VIRGINIA PUBLICATIONS 



1 P'n+1, 1 p'n+i, 2 



But Va = p Va_^/^n , therefore 



7-n —1 7Vi 



Also T^i = i 4'2> hence 



V- 



2n- <i>n 



(_l)n-l 



Comparing tliis with (78) there results 



Y^-E'- 



(-1)° 



Pi% Pi% 



Pl'2 ^ P2"3 



Pl\ P2'3 



' {11 -|- l)rows 



(90) 

 (91) 



Finally we wish to determine the power of a point, whose radial coordi- 

 nates are given, with respect to a circumspheric whose edges are given. 

 This is easily done as follows: Let Xi and r, be the content and radial 

 coordinates of the given point. Then the power of the point with respect 

 to the circumsphere is 



P = "tXiX^p^-i = cr. 



Also 



So- 

 a Xi 



Eliminating the n -\- 1 numbers x-, from the i\-\- 2 equations 



2a;i — 1 = 0, 



da „ , 



5a-i 



■Ti- ■ 



0, 



and sohdng the eliminant for P there results 



p'n+1, 1 p'n+i, 2 P'n+1.' 3 



(92) 



