Pappus's Hexagon Theorem

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.


Contributed by: Paul Abbott (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.