Lemniscate of Gerono
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Cartesian Equation : |
x4 = a2(x2 - y2) |
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Parametric Equation : |
x = cos t y = sin t cos t |
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Polar Equation : |
r 2 = sec4t cos 2t |
|
Cartesian Equation : |
x4 = a2(x2 - y2) |
|
Parametric Equation : |
x = cos t y = sin t cos t |
|
Polar Equation : |
r 2 = sec4t cos 2t |
The form of the curve is that of ribbon , as the other lemniscate, the more famous
lemniscate of Bernoulli.
Because of the resemblance with the digit 8, the curve is also called the eight curve.
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