Parable – Conic Section – Educational Animations

Parable – conic section


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


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.



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).


It is the fixed point of the parable

It is the parable of the axis of symmetry

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

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


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.

Eduardo Stefanelli

Engenheiro por profissão, professor por vocação