117 
401] A NOTATION OF THE POINTS AND LINES IN PASCAL’S THEOREM. 
and also the combinations: 
AEGMI involving all the duads 12,13, &c., 
ABHJN 
BCFIO 
GBGJK 
DEFHL 
KLMNO 
which I call respectively the ten-partite and six-partite arrangements. It is to be 
remarked that (considering I MO. BHJ as standing for the six duads IM, 10, MO 
BH, BJ, HJ, and so for the others) the ten-partite arrangement contains all the 
sixty hexagonal duads: and in like manner, (considering AEGMI as standing for 
the ten duads AE, AG, AM, AI, EG, EM, El, GM, GI, MI, and so for the others) 
the six-partite arrangement contains all the sixty hexagonal duads. 
The 60 Pascalian lines intersect by 4’s in the 45 Pascalian points p, by 3’s in 
20 points g and in 60 points h, and by 2’s in 90 points m, 360 points r, 360 points t, 
360 points z, and 9 points w. 
The intersections of the Pascalian lines thus are 
45 p counting as 
270 
20 g 
y> 
ff 
60 
60 h 
ff 
ff 
180 
90 to 
ff 
ff 
90 
360 r 
ff 
ff 
360 
360 t 
ff 
ff 
360 
360 z 
ff 
ff 
360 
90 w 
ff 
ff 
90 
1770 = 160.59, 
and the intersections on each Pascalian line are 
3 p 
counting as 
9 
1 9 
ff 
ff 
2 
3 h 
ff 
ff 
6 
3 m 
ff 
ff 
3 
12 r 
ff 
ff 
12 
12 t 
ff 
ff 
12 
12 z 
ff 
ff 
12 
3w 
ff 
ff 
3 
~59.