The ophiuride is a cubic curve (left figure) given by the implicit equation
|
(1)
|
where , or by the polar equation
|
(2)
|
for . The curve is named
base on its resemblance to a particular species of star-fish (right figure). Taking
yields a cissoid
of Diocles.
Its curvature is
|
(3)
|
See also
Cissoid of Diocles
This entry contributed by Margherita
Barile
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References
Shikin, E. V. Handbook and Atlas of Curves. Boca Raton, FL: CRC Press, pp. 266-267, 1995.Referenced
on Wolfram|Alpha
Ophiuride
Cite this as:
Barile, Margherita. "Ophiuride." From MathWorld--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/Ophiuride.html
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