372 Mr. E. C. Snow on Restricted Lines and 

 closely a system of other points. We have in this case 

 A = R 00 R 10 R„ Po 



R i Rii — R/ii pi 



R » Rln • • • • &nn Pi, 



PO Pi •••• Pn 



Pw Pi> Pn being the coordinates o£ one fixed point relative 



to the other, which is taken as origin. 



The coefficients in the required equation can be found from 

 the above in the form of determinants of order (w-fl). 



But in this case the first n equations of (6) become 



a^R lt + +a n ~R nt = R t—Xp t (t = l, 2, n). 



Solving these for a l5 a 2 , . . . . a n in terms of A, we have 



>oo' 

 where 



a t = — *~i 



a = 



K 



R, 



L i .... iion 



Xpx R n R lB 



where 



^' = 



S'-XS", 



-^00 -E^Ol • • • • Ron 



Roi -Rn ■ • » » I» ltt 



Ro» ^lra 



II 



and 



8" 



1 



Roi • ■ 



• • Bon 



p. 



R u .. 



• . Ri« 



P2 



\ 





; 



•* 





so 



that 



a« = — 



jp» R in R> 



8 M — "XSoi • 



■-5T 0=1 ' 2 ' n) ' 



