Henry Ernest Dudeney/Modern Puzzles/127 - With Compasses Only

Modern Puzzles by Henry Ernest Dudeney: $127$

With Compasses Only

Can you show how to mark off the four corners of a square, using the compasses only?

You simply use a sheet of paper and the compasses,

and there is no trick, such as folding the paper.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $127$. -- With Compasses Only
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Triangle, Square & Other Polygon Puzzles: $258$. With Compasses Only