Pappus's Hexagon Theorem

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A

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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.

Drag the points A, B, C, D, E, or F or use the sliders to change the figure.

External Links

Pappus's Hexagon Theorem (Wolfram MathWorld)

Pascal's Theorem (Wolfram MathWorld)

Permanent Citation

Paul Abbott

"Pappus's Hexagon Theorem"
http://demonstrations.wolfram.com/PappussHexagonTheorem/
Wolfram Demonstrations Project
Published: March 7, 2011