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## Elements of the Hyperbola with Diagrams

Hyperbolas consist of two pieces that are shaped similarly to parabolas. One-piece opens up and the other down or one to the left and the other to the right. Also, similar to parabolas, each of the pieces has a vertex. The graphs of hyperbolas also have two lines,...

## Equation of a Hyperbola with Center Outside the Origin

Equation of a hyperbola with center outside the origin Hyperbolas are defined as conic sections that are obtained when a cone is intersected by a plane. The hyperbola is formed when the plane intersects both faces of the cone. The hyperbola contains two branches that...

## Equation of a Hyperbola with Center at the Origin

A hyperbola is a conic section formed by the intersection of a cone by a plane at an angle where both bases are intersected. The hyperbola is composed of two branches that are a reflection of each other. The hyperbola is also defined as the set of all points in the...

## Equation of a Hyperbola with Examples

Hyperbolas are formed by the set of all points in the Cartesian plane so that the difference of the distances between any point and the foci is equal to a constant. Hyperbolas have two lines of symmetry. The transversal axis is defined as the segment that...

## Characteristics of an Ellipse

Ellipses are conic sections formed when a plane intersects a cone in an inclined way. The main characteristic of ellipses is that all the points on their curve have a sum of distances from two fixed points that is equal to a constant. The two fixed points are called...

## Eccentricity of an Ellipse – Formulas and Examples

The eccentricity of the ellipse is a unique characteristic that determines the shape of the ellipse. Eccentricity means the deviation of the curve that has occurred from the circularity of a given figure. For instance, an eccentricity of 0 means that the figure is...