Harriot, Thomas - Mss. 6782

11357

[Commentary:

The table at the top left shows the number of pathways from centre to corner for squares of size

1 \times 1

21 \times 21

. For a

5 \times 5

square, for instance, there are 20 pathways to each corner, and so 80 in all. (There is an error in the calculation for

9 \times 9

squares, where there are 70 pathways to each corner, making a total of 280 in all, not 240.)
Below the table are the numbers of pathways for the squares on Add MS f. and f. , SILO PRINCEPS FECIT (17 letters, 51,480 pathways) and HENRICUS PRINCEPS FECIT (21 letters, 739,024 pathways).
The calculations down the right hand side of the page show the

11 \times 12 \times 13 \times . . . \times 21

. ]

Silo princeps fecit (17)
[Translation: Prince Silo made ]

Henricus princeps fecit (21)
[Translation: Prince Henry made ]
Carolus princeps fecit
[Translation: Prince Charles made ]

111 (56)	112 (56v)
113 (57)	114 (57v)
115 (58)	116 (58v)
117 (59)	118 (59v)
119 (60)	120 (60v)

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