On a new piece of paper draw a semicircle as in exercise 2. |
Draw a chord of the semicircle parallel
to the bottom edge of the paper and extend the chord to the edges
of the paper. |
Bend the plastic along the semicircle and view the reflection of the chord
from inside the semicircle. Click the right picture for an enlargement in a new window. |
|
Observe that the line segment reflects to what appears to be an arc
of a cirlce. |