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  2. Hyperbola - Wikipedia

    en.wikipedia.org/wiki/Hyperbola

    The general equation's coefficients can be obtained from known semi-major axis , semi-minor axis , center coordinates (,), and rotation angle (the angle from the positive horizontal axis to the hyperbola's major axis) using the formulae:

  3. Hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_functions

    Circle and hyperbola tangent at (1,1) display geometry of circular functions in terms of circular sector area u and hyperbolic functions depending on hyperbolic sector area u. The hyperbolic functions represent an expansion of trigonometry beyond the circular functions. Both types depend on an argument, either circular angle or hyperbolic angle.

  4. Hyperbolic sector - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_sector

    A hyperbolic sector is a region of the Cartesian plane bounded by a hyperbola and two rays from the origin to it. For example, the two points (a, 1/a) and (b, 1/b) on the rectangular hyperbola xy = 1, or the corresponding region when this hyperbola is re-scaled and its orientation is altered by a rotation leaving the center at the origin, as with the unit hyperbola.

  5. Feuerbach hyperbola - Wikipedia

    en.wikipedia.org/wiki/Feuerbach_hyperbola

    Feuerbach Hyperbola. In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the Orthocenter, Gergonne point, Nagel point and Schiffler point. The center of the hyperbola is the Feuerbach point, the point of tangency of the incircle and the nine-point circle. [1]

  6. Hyperbolastic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolastic_functions

    The hyperbolastic rate equation of type I, denoted H1, is given by = (()) (+ +),where is any real number and is the population size at .The parameter represents carrying capacity, and parameters and jointly represent growth rate.

  7. Hyperboloid - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid

    In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes.A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation.