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. This was not true in general see the dynamic drawing of a simple hexagon.

4.7 Pascal's Theorem
 
     
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