Pascal's Hexagrammum Mysticum Theorem 
Pascal's Hexagrammum Mysticum Theorem
by Richard Southwell
Video Lecture 15 of 16
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Views: 669
Date Added: March 5, 2015

Lecture Description

Take a circle, and add six points to make a hexagon

Find the three points where opposite lines of the hexagon meet

The result claims these points always line up

Even if the order of the points are changed, or if the circle
is replaced by another conic (e.g., a hyperbola).

It only takes a minute to understand what is says, but why is it true ??

See my other videos on projective geometry for more details

Course Index

Course Description

Protective geometry is deeper and more fundamental than standard euclidean geometry, and has many applications in fundamental physics, biology and perspective drawing. We shall introduce it visually, without relying upon equations. The hope is make this beautiful subject accessible to anybody, without requiring prior knowledge of mathematics. At the same time, there are some very deep, rarely discussed ideas in this subject which could also benefit experts.

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