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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. Hyperbolas - Definition, Equations, Properties, Types and Examples | CK ...

    Jan 1, 2026 · 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 same, they form a …

  3. 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.

  4. 8.4: The Hyperbola - Mathematics LibreTexts

    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. This intersection …

  5. Equations of Hyperbolas | College Algebra - Lumen Learning

    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.

  6. 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 often …

  7. 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...

  8. 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 …

  9. Algebra - Hyperbolas

    Nov 16, 2022 · Hyperbolas consist of two vaguely parabola shaped pieces that open either up and down or right and left. Also, just like parabolas each of the pieces has a vertex. Note that they aren’t really …

  10. 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.