## PAPA'S PUZZLE.

(

Patchwork Puzzles)

Here is a puzzle by Pappus, who lived at Alexandria about the end of the

third century. It is the fifth proposition in the eighth book of his

_Mathematical Collections_. I give it in the form that I presented it

some years ago under the title "Papa's Puzzle," just to see how many

readers would discover that it was by Pappus himself. "The little maid's

papa has taken two different-sized rectangular pieces of cardboard, and

has clipped off a triangular piece from one of them, so that when it is

suspended by a thread from the point A it hangs with the long side

perfectly horizontal, as shown in the illustration. He has perplexed the

child by asking her to find the point A on the other card, so as to

produce a similar result when cut and suspended by a thread." Of course,

the point must not be found by trial clippings. A curious and pretty

point is involved in this setting of the puzzle. Can the reader discover

it?

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A KITE-FLYING PUZZLE.
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THE EIGHT STICKS.