Feb., 1916] 



Hexagon Notatio7i 



147 



Thus any hexagon treated as in (Ai), (A2) will give two lines 

 of four g-points each, inside the same Veronese group. (The third 

 line of g-points runs to different groups). 



Now reverse (2), (3), (4) and form similar groups to (Ai). 



ad, ce, fb (4) 

 J ad, fb, ec (8) 



ad, ec, bf (7) 

 ^ad, bf, ce(10)J 



(E). 



ac, df, eb(2)l fae, fc, db (3) 



ac, eb, fd(8) l.px I ae, db, cf (5),.-p^x ; 



ac, fd, eb(9) T^ ' | ae, cf, bd(lO) T^ ' ] 



ac, eb, df(6)j [ae, bd, fc (9)J 



Here is a total of ten hexagons, all in the Veronese group 

 of (42). 



Each set, Ai, A2, C, D, E indicates a line of four g-points; 

 and each hexagon occurs tw4ce. Therefore the g-points within 

 any Veronese group are on five lines, four points on each line 

 and two lines through each point. 



('46) The star of g-points in each Veronese group. 



Fig. 2. The g-point star in a Veronese Group. (As it might be). 



As shown by Ai, Ao, C, D, E; 2 in Fig. 2 indicates the 

 g-point on the Pascal of hexagon (2). 



A different arrangement of the points will give a three point 

 or four point star. 



(47) Each pair of Veronese groups has an I -line of g-points 

 in commoji. 



Any two hexagons related as (see 8), 



ab, cd, ef (1) 

 ab, ef, cd (2) 



