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    Neile Parabola

    Plot

    Plot

    Alternate names

    cuspidal cubic curve | Neile parabola

    Equations

    x(t) = a t^2 y(t) = a t^3

    y^2 = a^2 x^3

    r(θ) = a tan^2(θ) sec(θ)

    Properties

    algebraic | cubic | elliptic | parametric

    Basic properties

    d = 3

    Derived curves

    involute | parabola

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