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## THE TABLE-TOP AND STOOLS.

(

Various Dissection Puzzles)

I have frequently had occasion to show that the published answers to a

great many of the oldest and most widely known puzzles are either quite

incorrect or capable of improvement. I propose to consider the old poser

of the table-top and stools that most of my readers have probably seen

in some form or another in books compiled for the recreation of

childhood.

The story is told that an economical and ingenious schoolmaster once

wished to convert a circular table-top, for which he had no use, into

seats for two oval stools, each with a hand-hole in the centre. He

instructed the carpenter to make the cuts as in the illustration and

then join the eight pieces together in the manner shown. So impressed

was he with the ingenuity of his performance that he set the puzzle to

his geometry class as a little study in dissection. But the remainder of

the story has never been published, because, so it is said, it was a

characteristic of the principals of academies that they would never

admit that they could err. I get my information from a descendant of the

original boy who had most reason to be interested in the matter.

The clever youth suggested modestly to the master that the hand-holes

were too big, and that a small boy might perhaps fall through them. He

therefore proposed another way of making the cuts that would get over

this objection. For his impertinence he received such severe

chastisement that he became convinced that the larger the hand-hole in

the stools the more comfortable might they be.

Now what was the method the boy proposed?

Can you show how the circular table-top may be cut into eight pieces

that will fit together and form two oval seats for stools (each of

exactly the same size and shape) and each having similar hand-holes of

smaller dimensions than in the case shown above? Of course, all the wood

must be used.

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