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!

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- Feb 22nd 2013, 07:17 PMJammixConstruction help!
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!

- Feb 22nd 2013, 07:35 PMjakncokeRe: Construction help!
Can you say what we are allowed to use? Straight edge, compass, ruler?

- Feb 22nd 2013, 08:59 PMJammixRe: Construction help!
Compass and straight edge. Thanks! :)

- Feb 23rd 2013, 08:56 AMbjhopperRe: Construction help!
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.