The quartic curve given by the implicit equation
 |
(1)
|
It has horizontal asymptotes at 
and vertical asymptotes at 
and 
The area enclosed by the curve is given by
 |
 |
 |
(2)
|
 |
 |
 |
(3)
|
(Sloane's A193505).
The perimeter is given approximately by
 |
(4)
|
(Sloane's A193506).
SEE ALSO:Bicuspid Curve, Limaçon
REFERENCES:
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., 1989.
Sloane, N. J. A. Sequences A193505 and A193506 in "The On-Line Encyclopedia of Integer Sequences."
