# Category:Definitions/Conic Sections

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This category contains definitions related to Conic Sections.

Related results can be found in Category:Conic Sections.

A **conic section** is a plane curve which can be specified in terms of:

- a given straight line $D$ known as the directrix
- a given point $F$ known as a focus
- a given constant $\epsilon$ known as the eccentricity.

Let $K$ be the locus of points $b$ such that the distance $p$ from $b$ to $D$ and the distance $q$ from $b$ to $F$ are related by the condition:

- $(1): \quad q = \epsilon \, p$

Then $K$ is a **conic section**.

Equation $(1)$ is known as the **focus-directrix property** of $K$.

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Definitions/Conic Sections"

The following 30 pages are in this category, out of 30 total.

### C

- Definition:Circle
- Definition:Confocal Conics
- Definition:Confocal Ellipses
- Definition:Confocal Hyperbolas
- Definition:Conic Section
- Definition:Conic Section/Center
- Definition:Conic Section/Directrix
- Definition:Conic Section/Eccentricity
- Definition:Conic Section/Focus
- Definition:Conic Section/Focus-Directrix Property
- Definition:Conic Section/Focus-Directrix Property/Historical Note
- Definition:Conic Section/Intersection with Cone
- Definition:Conic Section/Intersection with Cone/Circle
- Definition:Conic Section/Intersection with Cone/Degenerate Hyperbola
- Definition:Conic Section/Intersection with Cone/Ellipse
- Definition:Conic Section/Intersection with Cone/Hyperbola
- Definition:Conic Section/Intersection with Cone/Parabola
- Definition:Conic Section/Intersection with Cone/Slicing Plane
- Definition:Conic Section/Intersection with Cone/Tilting Angle
- Definition:Conic Section/Reduced Form