[1] 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...

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 …

Dec 22, 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.

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

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.

Geometrically, a hyperbola is the set of points contained in a 2D coordinate plane that forms an open curve such that the absolute difference between the distances of any point on the …

Jan 1, 2026 · A hyperbola and its conjugate hyperbola are closely related but have their transverse and conjugate axes interchanged. This table highlights the key differences between …

在 数学 中， 双曲线 （英語： hyperbola； 希臘語： ὑπερβολή，意思是超过、超出）是定义为 平面 交截直角 圆锥 面的两半的一类 圆锥曲线。