Circle Inversions with Reflections

Exercises

3. Lines and circles

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.

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