Definition:Directrix
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Directrix may refer to:
Directrix of Ruled Surface
A directrix is a curve which defines the generators of a ruled surface.
Directrix of Conic Section
Let $K$ be a conic section specified in terms of:
- a given straight line $D$
- a given point $F$
- a given constant $e$
where $K$ is the locus of points $P$ such that the distance $p$ from $P$ to $D$ and the distance $q$ from $P$ to $F$ are related by the condition:
- $q = e p$
The line $D$ is known as the directrix of the conic section.
Directrix of Conchoid
Let $\KK$ be a conchoid.
Let $\CC$ be the curve with respect to which the conchoid is constructed.
$\CC$ is known as the directrix of $\KK$.
Also see
- Results about directrices can be found here.
Linguistic Note
The plural of directrix is directrices.