PLANE CURVES
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    Devil's curve

    Devil's curve
    Image: Jan Wassenaar
    www.2dcurves.com
    Also known as the Devil on Two Sticks, a curve with the Cartesian equation

    y4 - a2y2 = x4 - b2x2


    and the polar equation

    r 2(sin2θ - cos2θ) = a2sin2θ - b2cos2θ.


    Early studies of it were carried out in 1750 by the Swiss mathematician Gabriel Cramer (1704-1752), who is most famous for his work on determinants, and in 1810 by Lacroix. For a = 25/24, the curve is called the electric motor curve.


    Related category

       • PLANE CURVES



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