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    Parabola

    Example plots

    Example plots

    Equations

    x(t) = 2 a t y(t) = a t^2

    y = x^2/(4 a)

    r(θ) = 4 a tan(θ) sec(θ)

    (for a parabola opening upward with vertex at the origin and semilatus rectum 2a)

    Properties

    algebraic | conic | parametric | quadratic

    Basic properties

    d = 2

    Conic properties

    e = 1

    p = 2 a

    L = 2 a

    {(0, a)}

    y = -a

    Derived curves

    evolute | semicubical parabola involute | parabola involute

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