Kappa Curve
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Cartesian Equation : |
y2(x2+y2) = a2x2 |
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Parametric Equation : |
x = a cos t cot t , y = a cos t |
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Polar Equation : |
r = cot t |
|
Cartesian Equation : |
y2(x2+y2) = a2x2 |
|
Parametric Equation : |
x = a cos t cot t , y = a cos t |
|
Polar Equation : |
r = cot t |
The kappa curve is also called Gutschoven's curve.
It was first studied by G. van Gutschoven around 1662.
The curve was studied by Newton and, some years later, by Johann Bernoulli.
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