# Category:Conic Sections

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This category contains results about **Conic Sections**.

Definitions specific to this category can be found in Definitions/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 12 subcategories, out of 12 total.

### C

- Centers of Conic Sections (2 P)
- Central Conics (1 P)
- Chords of Conic Sections (2 P)

### D

- Dandelin's Theorem (5 P)
- Diameters of Conic Sections (empty)

### E

### F

### H

### P

## Pages in category "Conic Sections"

The following 13 pages are in this category, out of 13 total.