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

Hyperbola is called **curve** with **two spotlights** what turns out **symmetrical** 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, indefinitely approaching two asymptotes. This means that, considering two fixed points, the **difference** of their distances is constant.

A formal definition indicates that considered two points (**F1** Y **F2**) which are called **spotlights**, the hyperbola is the set of points of the plane in which the absolute value that is registered when considering the difference of their distances to the foci (the aforementioned **F1** Y **F2**) it’s constant.

In addition to the foci, other elements can be recognized in the hyperbola. Among them are the **focal axis** (the line that passes through both foci), the **secondary shaft** (the bisector 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 smallest or largest 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.

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