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Right Strophoid Inverse Curve

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StrophoidInverse

The inverse curve of a right strophoid with parametric equations

x=(1-t^2)/(t^2+1)
(1)
y=(t(t^2-1))/(t^2+1)
(2)

for an inversion circle with radius 1 and center (1,0) is

x=(t^2-1)/(t^2+1)
(3)
y=(t^2-1)/(t(t^2+1)),
(4)

which corresponds to the same strophoid.

See also

Inverse Curve, Right Strophoid

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Cite this as:

Weisstein, Eric W. "Right Strophoid Inverse Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RightStrophoidInverseCurve.html

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