In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called …

Did you know that the orbit of a spacecraft can sometimes be a hyperbola? A spacecraft can use the gravity of a planet to alter its path and...

An hyperbola looks like two parabolas opening in opposite directions. The term comes from the Greek word for excess, and refers to the eccentricity.

Dec 3, 2025 · The hyperbola is the shape of an orbit of a body on an escape trajectory (i.e., a body with positive energy), such as some comets, about a fixed mass, such as the sun.

Dec 1, 2025 · Imagine you’re a scientist tracking signals from two distant space probes. You notice that if you mark all the points where the difference in travel times of the signals is the …

Hyperbola A hyperbola is a two-dimensional curve in a plane. It takes the form of two branches that are mirror images of one another that together form a shape similar to a bow. Below are a …

hyperbola, two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes (see cone) of the cone.

In analytic geometry, a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.

Oct 24, 2025 · A hyperbola is one of the fundamental shapes in geometry formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected. …

This section explores hyperbolas, including their equation and how to draw them. A hyperbola is a conic section.