The Greek word *hyperbolḗ* he came to Latin as *hyperbŏla*. In our language the concept arrived as **hyperbola** , a term used in the field of **geometry** .

The hyperbola is called the **curve** with **two spotlights** that results **symmetric** with respect to a pair of axes perpendicular to each other. To draw a hyperbola, cut a **straight cone** with a plane, generating an angle smaller than that formed by the generatrix with respect to the axis of revolution.

A hyperbola presents **two open branches** . Both are directed in opposite directions, approaching two asymptotes indefinitely. This makes that, considering two fixed points, the **difference** of your distances be constant.

A formal definition indicates that considered two points (**F1** and **F2** ) which are called **spotlights** , the hyperbola is the set of points on the plane at which the absolute value that is recorded when considering the difference in their distances to the foci (those mentioned **F1** and **F2** ) it's constant.

In addition to the foci, in the hyperbola it is possible to recognize other elements. Among them appear the **focal axis** (the line that passes through both foci), the **secondary axis** (the mediatrix that joins the segment that goes from one focus to another), the **center** (the point of intersection of these axes) and the vertices.

According to the smaller or larger opening of the **branches** of the hyperbola, its **eccentricity** . This eccentricity is known by dividing half the distance from the focal axis by half the distance from the major axis.