Five Points Define A Conic 
Five Points Define A Conic
by Richard Southwell
Video Lecture 11 of 16
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Date Added: March 5, 2015

Lecture Description

We describe a remarkable implication of Pascal's theorem,
which is that given any 5 points in the plane (no 3 of which are co-linear), there
exists a single conic curve which passes through the 5 points. It also follows, by duality, that
a conic is uniquely defined by specifying 5 lines which are tangent to it.

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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