122 A NOTATION OF THE POINTS AND LINES IN PASCAL’S THEOREM. [401 
Each Pascalian point belongs to four different hexagons ; viz. a to the hexagons 
KD, KO, FD, FO ; and so for the other points, thus : 
a (K, F )(D, 0) 
b (A, K) (M, J ) 
c (A,F)(H,I) 
d {A, F)(B, E) 
e (A, K)(G, N) 
f (G,L)(K,F) 
9 (B,G)(I,J) 
h (B, L)(H, 0 ) 
i (D, M) (G, L ) 
j (E,K){G,L) 
k (B,L)(F,K) 
l (A, C)(B, G ) 
m (E, N) (H, M) 
n (0, M) (G, 0 ) 
o (B,D)(G,H) 
p (G,H)(F,J) 
q (G,M)(I,K) 
r (A, L) {H, M) 
s (C,E)(D,I) 
t (J, L){D, X) 
u (B,M)(I,N) 
v (A,0) (N, I ) 
w (D,N){H,K) 
x (D, I ) (F, G) 
y (G,N){J,0) 
z (E, 0)(I, L) 
a (E, J)(G, H) 
e (¿> d)(e, j) 
7 (E,0)(F,M) 
8 (B,K){J,0) 
e (B, K) (G, N) 
£ (C,E)(F,G) 
V (A, L)(E, N) 
6 (F, M)(I, L) 
* (H,K){J,L) 
K (A, G)(I, J) 
A (A, D) (G, H) 
P (G, 0)(I, K) 
* (F,N)(H,0) 
Ç (A, 0){B, M) 
(B,D)(F,J) 
7r (D, M) (E, K) 
p (0,L)(D,0) 
a (G, N)(J, M) 
T (B> E)(H, I ) 
I have constructed on a very large scale a figure of the sixty Pascalian lines, and 
the forty-five Pascalian points, marking them according to the foregoing notation; but 
the figure is from its complexity, and the inconvenient way in which the points are 
either crowded together or fly off to a great distance, almost unintelligible.