A Parallelogram with Vertices on Two Circles
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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 (March 2011)
Open content licensed under CC BY-NC-SA
See problem 2666 inCrux Mathematicorum 28(7), 2002 pp. 462-3.
"A Parallelogram with Vertices on Two Circles"
Wolfram Demonstrations Project
Published: March 7 2011