536 Puzzles and Curious Problems

(Elliott) #1

118 Geometrical Problems



  1. THE CRESCENT AND THE STAR
    A


Here is a little puzzle on the Cres-
cent and the Star. Look at the illus-
tration, 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
the more valuable?
As it is very difficult to guess by
the eye, I will state that the outer arc,
A C B, is a semicircle; the radius of
the inner arc is equal to the straight
line B C; the distance in a straight line
from A to B is twelve inches; and the
point of the star, D, contains three
square inches. It is quite easy to settle
the matter at a glance-when you
know how.


  1. THE PATCHWORK QUILT


Here is a patchwork quilt that was produced by two young ladies for some
charitable purpose. When they came to join their work it was found that each
lady had contributed a portion of exactly the same size and shape. It is an

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