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Teardrop Curve


TeardropCurves

A plane curve given by the parametric equations

x=cost
(1)
y=sintsin^m(1/2t).
(2)

The plots above show curves for values of m from 0 to 7.

The teardrop curve has area

 A=4sqrt(pi)(Gamma(1/2(3+m)))/(Gamma(3+1/2m)).
(3)

See also

Dumbbell Curve, Pear Curve, Pear-Shaped Curve, Piriform Curve

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References

von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 174, 1993.

Cite this as:

Weisstein, Eric W. "Teardrop Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TeardropCurve.html

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