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A curve of the form
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Curve |
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Hyperbola |
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Line |
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Parabola |
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Tschirnhausen Cubic |
0 | Logarithmic Spiral |
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Cayley's Sextic |
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Cardioid |
1 | Circle |
2 | Lemniscate |
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 184, 1972.
Lee, X. ``Sinusoid.''
http://www.best.com/~xah/SpecialPlaneCurves_dir/Sinusoid_dir/sinusoid.html.
Lockwood, E. H. A Book of Curves. Cambridge, England: Cambridge University Press, p. 175, 1967.
MacTutor History of Mathematics Archive. ``Sinusoidal Spirals.''
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Sinusoidal.html.