118 Geometrical Problems
- 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.
- 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