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    Catalan Trisectrix

    Plot

    Plot

    Equations

    x(t) = a (1 - 3 t^2)
y(t) = a t (3 - t^2)

    (a - x) (8 a + x)^2 = 27 a y^2

    r(θ) = a sec^3(θ/3)

    Properties

    algebraic | cubic | parametric | polar | trisectrix

    Basic properties

    d = 3

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