Without loss of generality, assume that
. Plot the points
,
,
, and
on the unit circle where
Since the arcs
and
have the same length, the line segments
and
must also have the same length. Experiment with the controls until this statement is understood and use it to investigate how the lengths of the two line segments change, but always remain equal to each other, for different values of
and
.
Finally, finish the proof by replacing
,
,
,
, and
with
,
,
,
, and
respectively.
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