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  1. Hyperbola - Wikipedia

    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 …

  2. Hyperbola - Math is Fun

    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...

  3. Hyperbola - Equation, Properties, Examples | Hyperbola Formula

    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 infinite …

  4. Hyperbolas: Their Equations, Graphs, and Terms | Purplemath

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

  5. Hyperbola - Equation, Definition & Properties - GeeksforGeeks

    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. It is …

  6. A hyperbola revolving around its axis forms a surface called a hyperboloid. The cooling tower of a steam power plant has the shape of a hyperboloid, as does the architecture of the James S. …

  7. Hyperbola - Math.net

    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 hyperbola and …

  8. 8.2 The Hyperbola - College Algebra 2e | OpenStax

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

  9. Hyperbola | Conic Sections, Asymptotes, Eccentricity | Britannica

    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.

  10. 10.2: The Hyperbola - Mathematics LibreTexts

    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.