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This category contains results about Parabolas.
Definitions specific to this category can be found in Definitions/Parabolas.


Let $D$ be a straight line.

Let $F$ be a point.

Let $K$ be the locus of points $P$ such that the distance $p$ from $P$ to $D$ equals the distance $q$ from $P$ to $F$:

$p = q$

Then $K$ is a parabola.