Right Strophoid Inverse Curve
StrophoidInverse
The inverse curve of a right strophoid with parametric equations
x = [画像:(1-t^2)/(t^2+1)]
(1)
y = [画像:(t(t^2-1))/(t^2+1)]
(2)
for an inversion circle with radius 1 and center (1,0) is
x = [画像:(t^2-1)/(t^2+1)]
(3)
y = [画像:(t^2-1)/(t(t^2+1)),]
(4)
which corresponds to the same strophoid.
See also
Inverse Curve, Right StrophoidExplore with Wolfram|Alpha
WolframAlpha
Cite this as:
Weisstein, Eric W. "Right Strophoid Inverse Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RightStrophoidInverseCurve.html