Henry Ernest Dudeney/Modern Puzzles/116 - The Crescent and the Star
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Modern Puzzles by Henry Ernest Dudeney: $116$
- The Crescent and the Star
- Here is a little puzzle on the Crescent and the Star.
- Look at the illustration, and see if you can determine which is the larger, the Crescent or the Star.
- If both were cut out of a sheet of solid gold, which would be more valuable?
- As it is very difficult to guess by the eye,
- I will state that the outer arc is a semicircle;
- the radius of the inner arc is equal to the straight line $BC$;
- the distance in a straight line from $A$ to $B$ is $12$ units,
- and the point of the star, $D$, contains $3$ square units.
- Now it is quite easy to settle the matter at a glance -- when you know how.
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Geometrical Problems: Dissection Puzzles: $116$. -- The Crescent and the Star
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Dissection Puzzles: $339$. The Crescent and the Star