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Amusements in Mathematics by Henry Ernest Dudeney
page 273 of 735 (37%)
flag is flying.

This puzzle will call for a lot of skilful seamanship on account of the
sharp angles at which it will occasionally be necessary to tack. The
point of a lead pencil and a good nautical eye are all the outfit that
we require.

[Illustration]

This is difficult, because of the condition as to the flag-buoy, and
because it is a re-entrant tour. But again we are allowed those oblique
lines.


331.--THE SCIENTIFIC SKATER.

[Illustration]

It will be seen that this skater has marked on the ice sixty-four points
or stars, and he proposes to start _from his present position_ near the
corner and enter every one of the points in fourteen straight lines. How
will he do it? Of course there is no objection to his passing over any
point more than once, but his last straight stroke must bring him back
to the position from which he started.

It is merely a matter of taking your pencil and starting from the spot
on which the skater's foot is at present resting, and striking out all
the stars in fourteen continuous straight lines, returning to the point
from which you set out.

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