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kappa curve

kappa curve
Also known as Gutschoven's curve, after Gérard van Gutschoven (1615–1668) who first studied it around 1662. The kappa curve, which resembles the Greek letter kappa (κ), was also investigated by Isaac Newton and, some years later, by Johann Bernoulli. It is given by the Cartesian equation:

y2(x2 + y2) = a2x2

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