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    Conchoid

    Named curves

    conchoid of de Sluze | Dürer conchoid | conchoid of Nicomedes

    Example plots

    Example plots Conchoid of de Sluze

    Example plots Dürer conchoid

    Example plots Conchoid of Nicomedes

    Alternate names

    conchoid | Dürer shell curve | muschellini

    cochloid

    Equations

    conchoid of de Sluze | x(t) = cos(t) (a cos(t) + sec(t)) y(t) = sin(t) (a cos(t) + sec(t)) conchoid of Nicomedes | x(t) = cos(t) (a sec(t) + b) y(t) = sin(t) (a sec(t) + b)

    conchoid of de Sluze | (x - 1) (x^2 + y^2) = a x^2 Dürer conchoid | y^2 (b^2 - 3 a^2) + a^2 (a^2 - b^2) + 2 a^2 b (x + y) - a^2 x^2 - 2 b y^2 (x + y) + 2 y^2 (x^2 + y^2) = 0 conchoid of Nicomedes | b^2 x^2 = (x - a)^2 (x^2 + y^2)

    conchoid of de Sluze | r(θ) = a cos(θ) + sec(θ) conchoid of Nicomedes | r(θ) = a sec(θ) + b

    Common properties

    algebraic | conchoid

    Basic properties

    conchoid of de Sluze | d = 3 Dürer conchoid | d = 4 conchoid of Nicomedes | d = 4

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