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 propel it at high speed away from the planet and …

What is Hyperbola? A hyperbola, a type of smooth curve lying in a plane, has two pieces, called connected components or branches, that are mirror images of each other and resemble two …

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

Nov 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 …

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. …

A hyperbola is the set of all points ( x, y ) in a plane such that the difference of the distances between ( x, y ) and the foci is a positive constant. Notice that the definition of a hyperbola is …

Oct 27, 2025 · A hyperbola is a conic section defined by the constant difference of distances from any point on the curve to two fixed foci.

Nov 16, 2022 · In this section we will graph hyperbolas. We introduce the standard form of an ellipse and how to use it to quickly graph a hyperbola.

Jan 2, 2021 · 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.