Illustration of Theorem 4.18
There are no deep theorems–only theorems that we have not understood very well.
—Nicholas P. Goodman, The Mathematical Intelligencer, 1983

The points A, B, C, D are points of a point conic determined from projectively related pencils of lines with centers P and P'.
Note how the diagonal points of the simple hexagon ABCPDP' remain collinear.

Drag the points A, B, C, P, P' to change the simple hexagon ABCPDP'.
To reset to the original settings, type the letter "R" on the keyboard.

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4.7 Pascal's TheoremBack to Pascal's Theorem

Ch. 4 Projective TOC  Table of Contents

  Timothy Peil  Mathematics Dept.  MSU Moorhead

© Copyright 2005, 2006 - Timothy Peil