150 



The Ohio Journal of Science [Vol. XVI, No. 4, 



Fig. 3. The 15 I lines and 20 g points. 10 g points and conjugates. 



(49) The g-points not connected by I-lines. 

 In the Veronese group in (46), no line runs from the g-poinl 

 1 on a b c d e f (1) to 8, 9, 10, but this 



'ace. bfd (8)1 

 < cea, dbf (10) ^^ (h) 

 ^eac, fdb (9) J 



is the point unique to (1) (See section 9). 



Thus in any Veronese group, no g-point on the Pascal of 

 any hexagon is connected by I-lines to the g-points on the 

 Pascals of the hexagons of the h-point unique to the given 

 hexagon. 



Through each point pass three Pascal lines (of different 

 Veronese groups), and thus the g-point 1, is not connected to 

 any of the g-points on any of the Pascal lines of any of the nine 

 hexagons unique to the hexagons of the given g-point; and no 

 g-point is connected by an I-line to its conjugate g-point. 



Dt'pt. of Mathematics, Ohio State University. 



