List of curves
This is a list of curves, by Wikipedia page.
See also gallery of curves, list of curves topics, list of surfaces, Riemann surface.
Algebraic curves
Rational curves
Degree 1
Degree 2
Degree 3
- Folium of Descartes
- Cissoid of Diocles
- Conchoid of de Sluze
- Right strophoid
- Semicubical parabola
- Serpentine curve
- Trident curve
- Trisectrix of Maclaurin
- Tschirnhausen cubic
- Witch of Agnesi
Degree 4
- Ampersand curve
- Bean curve
- Bicorn
- Bow curve
- Bullet-nose curve
- Cruciform curve
- Deltoid curve
- Devil's curve
- Hippopede
- Kampyle of Eudoxus
- Kappa curve
- Lemniscate
- Limaçon
- Trifolium Curve
Degree 5
None at this time
Degree 6
Families of variable degree
- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves of genus one
Curves with genus greater than one
- Bolza surface (genus 2)
- Klein quartic (genus 3)
- Bring's curve (genus 4)
- Macbeath surface (genus 7)
- Butterfly curve (algebraic) (genus 7)
Curve families with variable genus
- Polynomial lemniscate
- Fermat curve
- Sinusoidal spiral
- Superellipse
- Hurwitz surface
- Elkies trinomial curves
- Hyperelliptic curve
- Classical modular curve
Transcendental curves
- Bowditch curve
- Brachistochrone
- Butterfly curve (transcendental)
- Catenary
- Clélies
- Cochleoid
- Cycloid
- Horopter
- Interscendental curve: A curve defined using irrational exponents, such as y=x√2. See Salmon (1879, p. 206)
- Isochrone
- Isochrone of Huygens (Tautochrone)
- Isochrone of Leibniz
- Isochrone of Varignon
- Lamé curve
- Pursuit curve
- Rhumb line
- Spirals
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructions
Fractal curves
- Blancmange curve
- De Rham curve
- Dragon curve
- Koch curve
- Lévy C curve
- space-filling curve, also known as the Peano curve
- Sierpiński curve
see also List of fractals by Hausdorff dimension
Curves in space
- Conchospiral
- Helix
- Tendril perversion (a transition between back-to-back helices)
- Hemihelix, a quasi-helical shape characterized by multiple tendril perversions
- Seiffert's spiral
- Slinky spiral
- Twisted cubic
- Viviani's curve
Curves generated by other curves
- Caustic including Catacaustic and Diacaustic
- Cissoid
- Conchoid
- Evolute
- Glissette
- Inverse curve
- Involute
- Isoptic including Orthoptic
- Orthotomic
- Negative pedal curve
- Pedal curve
- Parallel curve
- Radial curve
- Roulette
- Strophoid
Named graphs
Economics
- Contract curve
- Cost curve
- Demand curve
- Engel curve
- Indifference curve
- J-curve
- Laffer curve
- Lorenz curve
- Phillips curve
- Supply curve
Other
- Bathtub curve
- Bell curve
- Calibration curve
- Cardiac function curve
- Dose-response curve
- Fish curve
- Fletcher-Munson curve
- Forgetting curve
- Gompertz 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
- Famous Curves Index
- Two Dimensional Curves
- A Visual Directory of Special Plane Curves
- Curves and Surfaces Index (Harvey Mudd College)
- National Curve Bank
- "Courbes 2D" at Encyclopédie des Formes Mathématiques Remarquables
- "Courbes 3D" at Encyclopédie des Formes Mathématiques Remarquables
- An elementary treatise on cubic and quartic curves by Alfred Barnard Basset (1901) online at Google Books
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