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.