Pappus's Hexagon Theorem
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Let A, B, and C be three collinear points and D, E, and F be three other collinear points. Let AE ⋂ BD = X, AF ⋂ CD = Y, and BF ⋂ CE = Z. Then X, Y, and Z are collinear.
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Contributed by: Paul Abbott (March 2011)
Open content licensed under CC BY-NC-SA
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"Pappus's Hexagon Theorem"
http://demonstrations.wolfram.com/PappussHexagonTheorem/
Wolfram Demonstrations Project
Published: March 7 2011