List of curves

List of curves

This is a list of curves, by Wikipedia page.

"See also list of curve topics, list of surfaces, Riemann surface."

Algebraic curves

*Cubic plane curve
*Quartic plane curve
*Quintic plane curve
*Sextic plane curve

Rational curves

*Ampersand curve
*Astroid
*Atriphtaloid
*Bean curve
*Bicorn
*Bow curve
*Bullet-nose curve
*Cardioid
*Cissoid of Diocles
*Conchoid of de Sluze
*Conic sections
**Circle
**Ellipse
**Parabola
**Hyperbola
*Crooked egg curve
*Cruciform curve
*Deltoid curve
*Devil's curve
*Epicycloid
*Epitrochoid
*Folium of Descartes
*Hessian curve
*Hippopede
*Hypocycloid
*Kampyle of Eudoxus
*Kappa curve
*Lemniscate
**Lemniscate of Bernoulli
**Lemniscate of Gerono
**Lemniscate of Booth
*Limaçon
*Line
*Lissajous curve
*Nephroid
*Quadrifolium
*Quintic of l'Hospital [http://www.mathcurve.com/courbes2d/quintique%20de%20l'hospital/quintique%20de%20l'hospital.shtml]
*Rational normal curve
*Rose curve
*Serpentine curve
*Strophoid
*Tricuspid curve
*Trident curve
*Trifolium
*Trisectrix of Maclaurin
*Witch of Agnesi

Curves of genus one

*Bicuspid curve
*Cassini oval
*Cassinoide
*Cubic curve
*Elliptic curve
*Watt's curve

Curves with genus greater than one

*Butterfly curve (algebraic)
*Elkies trinomial curves
*Erdős lemniscate
*Fermat curve
*Hyperelliptic curve
*Klein quartic
*Mandelbrot curve
*Classical modular curve
*Trott curve

Transcendental curves

*Bowditch curve
*Brachistochrone
*Butterfly curve (transcendental)
*Catenary
*Clélies
*Cochleoid
*Curve of pursuit
*Cycloid
*Horopter
*Isochrone
**Isochrone of Huygens (Tautochrone)
**Isochrone of Leibniz [http://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz]
**Isochrone of Varignon [http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon]
*Lamé curve
*Rhumb line
*Sail curve
*Spirals
**Archimedean spiral
**Cornu spiral
**Conchospiral
**Cotes' spiral
**Daisy spiral [http://mathworld.wolfram.com/Daisy.html]
**Epispiral
**Fermat's spiral
**Galileo's spiral [http://www.mathcurve.com/courbes2d/galilee/galilee]
**Hyperbolic spiral
**Lituus
**Logarithmic spiral
**Nielsen's spiral
**Phyllotaxis
**Poinsot's spirals
**Prime spiral [http://mathworld.wolfram.com/PrimeSpiral.html]
**Rational spiral [http://mathworld.wolfram.com/RationalSpiral.html]
**Seiffert's spiral [http://mathworld.wolfram.com/SeiffertsSphericalSpiral.html]
**Sici spiral
**Sinusoidal spiral
**Whirl spiral [http://mathworld.wolfram.com/Whirl.html]
*Superellipse
*Syntractrix
*Tractrix
*Trochoid
*Viviani's curve

Piecewise constructions

*Bezier curve
*Splines
**B-spline
**Nonuniform rational B-spline
*Ogee
*Loess curve
*Lowess
*Polygonal curve
*Reuleaux triangle

Fractal curves

*Blancmange curve
*De Rham curve
*Dragon curve
*Koch curve
*Lévy C curve
*space-filling curve, also known as the "Peano curve"
*Sierpinski curvesee also List of fractals by Hausdorff dimension

Curves in space

*Helix
*Slinky spiral [http://mathworld.wolfram.com/Slinky.html]
*Twisted cubic

Curves generated by other curves

*Caustic including Catacaustic and Diacaustic
*Cissoid
*Evolute
*Glissette
*Inverse curve
*Involute
*Isoptic
*Orthoptic
*Orthotomic
*Negative pedal curve
*Pedal curve
*Roulette

Named graphs

"Economics"
*Backward bending supply curve of labour
*Contract curve
*Cost curve
*Demand curve
**Compensated demand curve
*Engel curve
*Indifference curve
*Laffer curve
*Lorenz curve
*Phillips curve
*J-curve "Other"
*Bathtub curve
*Bell curve
*Calibration curve
*Cardiac function curve
*Dose-response curve
*Fletcher-Munson curve
*Forgetting curve
*Growth curve
*Hubbert curve
*Kruithof curve
*Learning curve
*Light curve
*Logistic curve
*Oxyhemoglobin dissociation curve
*Paschen curve
*Robinson-Dadson curves
*Rotation curve
*Species-area curve
*Stress-strain curve

External links

* [http://www-groups.dcs.st-and.ac.uk/~history/Curves/Curves.html Famous Curves Index]
* [http://www.2dcurves.com/ Two Dimensional Curves]
* [http://www.xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html A Visual Directory of Special Plane Curves]
* [http://local.wasp.uwa.edu.au/~pbourke/curves/ Curves (Paul Bourke, University of Western Australia)]
* [http://www.math.hmc.edu/~gu/math142/mellon/curves_and_surfaces/all.html Curves and Surfaces Index (Harvey Mudd College)]
* [http://curvebank.calstatela.edu/home/home.htm National Curve Bank]
* [http://www.mathcurve.com/courbes2d/courbes2d.shtml "Courbes 2D" at Encyclopédie des Formes Mathématiques Remarquables]


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