4.7 Illustration of the Construction of a Point Conic Using Pascal's Theorem
Perfect clarity would profit the intellect but damage the will.
—Exit book to another website.Blaise Pascal (1623–1662)

Point Conic for Simple Hexagon ABCDEF

Click on each step to show each step of the construction.
Drag M to trace the point conic.
To clear the trace, click on the upper right-hand corner or the reset icon.
To view a different point conic, move A, B, C, D, and E.

Exploration Problem. First drag M to form a complete point conic. Next, drag M so that F approaches A. What happens when the sixth point F approaches A in the simple hexagon ABCDEF? What appears to be true about the line AK and the point conic? Write your conjecture.

Timothy Peil, 8 February 2013, Created with GeoGebra

4.7 Pascal's TheoremBack to Pascal's Theorem
4.7 Tangent Lines to Point ConicsBack to Tangent Lines to Point Conics
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  Timothy Peil  Mathematics Dept.  MSU Moorhead
© Copyright 2013 - Timothy Peil