Answers 317portional between DC and CE, and therefore the side of the required square.
From C describe the arc HJ, and with the point of your compasses at K
describe the semicircle DJe. Draw CJ and DJ. Make JL equal to JC, and
complete the square. The rest requires no explanation.
This solution was first published by me in the Weekly Dispatch, in August,
1901.
[Victor Meally informs me that Dudeney's solution had earlier been dis-
covered by Paul Busschop. It appeared in Nouvelle Correspondance Mathe-
matique, Brussels, 1875, Vol. II, p. 83.-M. G.]
- SQUARING A STAR
I give the very neat solution by Mr. E. B. Escott, of Oak Park, Illinois. The
five pieces of the star form a perfect square. Find side of equal square (a mean
proportional between AB and BC) and make BD equal to such side. Drop
perpendicular from A on BD at E and AE will equal BD. The rest is obvious.