copilothyperbole vs hyperbolic - Search
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  1. Etymology and history

    The word "hyperbola" derives from the Greek ὑπερβολή, meaning "over-thrown" or "excessive", from which the English term hyperbole also derives. Hyperbolae were discovered by Menaechmus in his investigatio… See more

    Definitions

    A hyperbola can be defined geometrically as a set of points (locus of points) in the Euclidean plane:
    The midpoint of the line segment joining the foci is called the center of the hyperbola. The line thr… See more

    In Cartesian coordinates

    If Cartesian coordinates are introduced such that the origin is the center of the hyperbola and the x-axis is the major axis, then the hyperbola is called east-west-opening and
    the foci are … See more

    In polar coordinates

    The polar coordinates used most commonly for the hyperbola are defined relative to the Cartesian coordinate system that has its origin in a focus and its x-axis pointing toward the origin of the "canonical coordinate … See more

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