Links Curve
LinksCurve
The links curve is the quartic curve given by the Cartesian equation
| (x^2+y^2-3x)^2=4x^2(2-x). |
(1)
|
The area enclosed by the outer envelope is
| A_(envelope)=1/6(9pi+8) |
(2)
|
and the area of the inner loop is
| A_(inner loop)=1/6(3pi-8). |
(3)
|
The origin of the curve is a tacnode.
See also
Bifolium, Capricornoid, TacnodeExplore with Wolfram|Alpha
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References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 72, 1989.Referenced on Wolfram|Alpha
Links CurveCite this as:
Weisstein, Eric W. "Links Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LinksCurve.html