# Category:Ellipses

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This category contains results about Ellipses.

Definitions specific to this category can be found in Definitions/Ellipses.

Let $D$ be a straight line.

Let $F$ be a point.

Let $\epsilon \in \R: 0 < \epsilon < 1$.

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

- $\epsilon \, p = q$

Then $K$ is an **ellipse**.

## Subcategories

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

### A

### E

## Pages in category "Ellipses"

The following 14 pages are in this category, out of 14 total.

### E

- Ellipse is Mechanical Curve
- Equation of Confocal Ellipses/Formulation 1
- Equation of Confocal Ellipses/Formulation 2
- Equation of Ellipse in Complex Plane
- Equation of Ellipse in Reduced Form
- Equation of Ellipse in Reduced Form/Cartesian Frame
- Equation of Ellipse in Reduced Form/Cartesian Frame/Parametric Form
- Equidistance of Ellipse equals Major Axis
- Equivalence of Definitions of Ellipse
- Evolute of Ellipse