CROSSING RIVER PROBLEMS

"My boat is on the shore."

BYRON.

This is another mediæval class of puzzles. Probably the earliest example

was by Abbot Alcuin, who was born in Yorkshire in 735 and died at Tours

in 804. And everybody knows the story of the man with the wolf, goat,

and basket of cabbages whose boat would only take one of the three at a

time with the man himself. His difficulties arose from his being unable

to leave the wolf alone with the goat, or the goat alone with the

cabbages. These puzzles were considered by Tartaglia and Bachet, and

have been later investigated by Lucas, De Fonteney, Delannoy, Tarry, and

others. In the puzzles I give there will be found one or two new

conditions which add to the complexity somewhat. I also include a pulley

problem that practically involves the same principles.

[Illustration]

Amusements in Mathematics · 第 435 / 970 题