# Conic Section through Five Points

## Theorem

Let $A, B, C, D, E$ be distinct points in the plane such that no $3$ of them are collinear.

Then it is possible to draw a conic section that passes through all $5$ points.

## Historical Note

The technique for constructing a conic section that passes through $5$ non-collinear points was demonstrated by Pappus of Alexandria.