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A Parallelogram with Vertices on Two Circles
Let a circle have diameter AB and let M be a point on another circle with center at A. Let the circles intersect at C and D. Let BM, CM, and DM intersect the first circle at N, P, and Q, respectively. Then MPBQ is a parallelogram.
Contributed by:
Jay Warendorff
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See
problem 2666 in
Crux Mathematicorum
28
(7), 2002 pp. 462-3.
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Parallelogram
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"
A Parallelogram with Vertices on Two Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AParallelogramWithVerticesOnTwoCircles/
Contributed by:
Jay Warendorff
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