# Parable – Conic Section – Educational Animations

Parable – conic section

## Parable

In mathematics, especially in geometry, the parable is a conic curve. This means that it is formed with the points that simultaneously belong to a cone and to a plane that cut it off.

Below you will see animations of various properties of the parable, especially those that differentiate conic curves elipse e hipérbole.

## Parable – conic section

### Parable

When a right circular cone is sectioned by a plane parallel to a generatrix of the cone and the oblique axis of the points belonging to both the plane as the cone forms a parable.

The parable is an open flat curve and its branches can be extended to infinity.

### Rule

The distance from any point of the parable to a fixed point (called focus) is always equal to the distance from point to a line (called policy).

### Structure

FOCUS:

It is the fixed point of the parable

AXIS:

It is the parable of the axis of symmetry

GUIDELINE:

It is the line that gives the condition a curve is a parable

VERTEX:

It is the point that the parable has in common with the shaft

**Property**

The parable has the property to reflect any ray parallel to the axis produced in focus, giving it excellent optical and acoustic properties.

### Special case

If the plan contains the vertex of the cone we will not have a parable but a straight line.