If I am given two circles, how would I construct a single line that intersects the interior of both circles at chords of equal length. A proof would be nice too! THANKS!
Draw 2 equal intersecting circles centers O1 and O2 meetingatA and B
Draw chord AB
From B connect BO1 extended to C on circle O1.
ConnectCA extended to D on circle O2
Chord CA =AD.
You do the proof.