UM Math Graduate Students Seminar

Dr. Drew Armstrong
University of Miami

will present

Pascal's Mystic Hexagram

Friday, February 28, 2013, 2:30pm
Ungar Building Room 506


Abstract: When Blaise Pascal was 16 years old he published the following remarkable theorem. Consider any conic section in the plane (for example a circle). Choose any six points on the conic and connect them in any way as a hexagon (possibly self-intersecting). If you extend the three pairs of opposite sides of the hexagon they will meet at three collinear points (see the picture). I will explain the best way to prove Pascal's theorem. It involves complex numbers and points at infinity.

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