THE CANTERBURY PUZZLES
the published answers, by his method, that I have seen inaccurate,
but nobody has ever published the much smaller result that I now
print. The cubes of JHSWMttS* and *ItWft8WS& added together
make exactly nine, and, therefore, these fractions of a foot are the
measurements of the circumferences of the two phials that the
Doctor required to contain the same quantity of liquid as those
produced. An eminent actuary has taken the trouble to cube out these
numbers and finds my result quite correct.
If the phials were one foot and three feet in circumference,
respectively, then an answer would be that the cubes of ifff&sti
and fiitelM added together make exactly 28. See also No. 61,
4
'The Silver Cubes.'*
21.—The Ploughman's Puzzle.
The illustration shows
how the sixteen trees
might have been planted
so as to form as many
as fifteen straight rows
with four trees in every
row. This is in excess
of what was for a long
time believed to be the
maximum number of
rows possible, and though
with our present know-
ledge I cannot rigor-
ously demonstrate that
fifteen rows cannot be
beaten, I have a strong " pious opinion" that it is the highest
number of rows obtainable.
22.—The Franklin's Puzzle.
The answer to this puzzle is shown in the illustration, where
the numbers on the sixteen bottles all add up to 30 in the ten
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