e your pencil on the A at the top of the amulet and
count in how many different ways you could trace out the word
"Abracadabra" downwards, always passing from a letter to an adjoining
one.

A
B B
R R R
A A A A
C C C C C
A A A A A A
D D D D D D D
A A A A A A A A
B B B B B B B B B
R R R R R R R R R R
A A A A A A A A A A A

"Now, mark ye, fine fellows," said Sir Hugh to some who had besought him
to explain, "that at the very first start there be two ways open:
whichever B ye select, there will be two several ways of proceeding
(twice times two are four); whichever R ye select, there be two ways of
going on (twice times four are eight); and so on until the end. Each
letter in order from A downwards may so be reached in 2, 4, 8, 16, 32,
etc., ways. Therefore, as there be ten lines or steps in all from A to
the bottom, all ye need do is to multiply ten 2's together, and truly the
result, 1024, is the answer thou dost seek."

39.--_The Snail on the Flagstaff._

Though there was no need to take down and measure the staff, it is
undoubtedly necessary to find its height before the answer can be given.
It was well known among the friends and retainers of Sir Hugh de Fortibus
that he was exactly six feet in height. It will be seen in the original
picture that Sir Hugh's height is just twice the length of his shadow.
Therefore we all know that the flagstaff will, at the same place and time
of day, be also just twice as long as its shadow. The shadow of the staff
is the same length as Sir Hugh's height; therefore this shadow is six
feet long, and the flagstaff must be twelve feet high. Now, the snail, by
climbing up three feet in the daytime and slipping back two feet by
night, really advances one foot in a day of twenty-four hours. At the end
of nine days it is three feet from the top, so that it reaches its
journey's end on the tenth day.

The reader will doubtless here exclaim, "This is all very well; but how
were we to know the height of Sir Hugh? It was never stated how tall he
was!" No, it was not stated in so many words, but it was none the less
clearly indicated to the reader who is sharp in these matters. In the
original illustration to the donjon keep window Sir Hugh is shown
standing against a wall, the window in which is stated to be one foot
square on the inside. Therefore, as his height will be found by
measurement to be just